Exam-Style Question on Proof
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 576. This question is similar to one that appeared on an IB AA Standard paper in 2021. The use of a calculator is not allowed.
Consider two consecutive positive even numbers, \(2n\) and \(2n + 2\).
Show that the difference of their squares is equal to twice their sum.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
©1997 - 2022 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/