Home

Learn anytime, anywhere!

With our mobile friendly website, you can use it wherever you are.

“Do not worry about your difficulties in Mathematics. I can assure you mine are still greater”

Priscilla Gomez

“Do not worry about your difficulties in Mathematics. I can assure you mine are still greater”

Aya Alrahmani

“Do not worry about your difficulties in Mathematics. I can assure you mine are still greater”

Ali Alrahmani

Our courses

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Arc Lengths & Area of Sectors

by Sophie Roberts

5 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Circles

by Sophie Roberts

9 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

recurrence-relations

Recurrence Relations

by Sophie Roberts

We cover all the key skills necessary for being successful in the Recurrence Relations question in A-Level and international A-Level Maths.

4 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Surds

by Sophie Roberts

5 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Arithmetic Sequences

by Sophie Roberts

‘Arithmetic Sequences ’ is a free online A-level maths course that teaches you everything you need to know about Arithmetic Sequences

10 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Geometric Sequences

by Sophie Roberts

‘Geometric Sequences’ is a free online maths course designed to help you study A-Level maths.

9 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Binomial Expansion

by Sophie Roberts

8 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Factor and Remainder Theorem

by Sophie Roberts

‘Factor & Remainder Theorem’ is a free online maths course that helps you to understand both the Factor & Remainder Theorem.

6 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Simultaneous Equations

by Sophie Roberts

4 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Completing the Square and Roots of Quadratic Equations

by Sophie Roberts

6 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Inequalities

by Sophie Roberts

‘Inequalities in A-Level Maths’ is a free online maths course that helps you to understand how to work with inequalities including in your A-level maths exam!

7 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Algebraic Fractions

by Sophie Roberts

‘Algebraic Fractions in A-Level Maths’ is an online course that helps you to understand how to work with algebraic fractions in your A-level maths exam!

5 Key Skills

<img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' data-srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' height='75' width='75' data-src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' class='avatar avatar-75 photo lazyload' src='data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==' /><noscript><img alt='' src='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg' srcset='//www.gravatar.com/avatar/ebe5efe0ac5923c4fd3983a7f1a81ebe?s=75&r=pg&d=http%3A%2F%2Fcourses.mathwithsophie.com%2Fwp-content%2Fthemes%2Fboss-child%2Fimages%2Favatar-member.jpg 2x' class='avatar avatar-75 photo' height='75' width='75' />

Rules for Indices

by Sophie Roberts

This course on Indices helps you to understand how to apply the rules for indices to simplify complicated algebraic expressions, including fractions, negative indices, and brackets in your A-Level maths exam!

7 Key Skills

Do you need more?

We provide online tutoring and tutoring in the Marbella area (Spain)

Do not miss out on our new courses!

Sign up now to our mailing list so you get notified when we upload a new course, there is an offer, receive news of your interest and much more!

@

Not recently active