The principal focus of this subtopic is to explore and to develop the use of the technique of proof by mathematical induction to prove results. Students are introduced to mathematical induction for a limited range of applications so that they have time to develop confidence in its use.

Students develop the use of formal mathematical language and argument to prove the validity of given situations using inductive reasoning. The logical sequence of steps in the proof technique needs to be understood and carefully justified, thus encouraging clear and concise communication which is useful both in further study of mathematics and in life.

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Diagnostic Quizzes

Proof – Check Your Knowledge Now!

Want to test your knowledge on Proof? Download the Free Diagnostic Quiz Now.

Proof - Diagnostic Quiz 1

*If you want to complete the quiz online, create a free account and complete online for instant results.

Check your answers for free online after you have completed the quiz. Use the QR or test code that is at the top of the diagnostic quiz.

The diagnostic quiz for Proof has been designed for a quick little revision quiz for the whole Proof topic. Each sub topic of Proof will be covered in the diagnostic quiz.

How to test yourself

Download Quiz The best practice is to use a pen and paper. Use the Download Quiz button to print out the quiz and print it out. There will be plenty of room for working so complete the questions on the paper. This is how the school will give it to you so practice this was as well. You will need to submit your responses online after the quiz is finished but we highly recommend practicing by downloading the quiz.

Complete online If you want to work through the diagnostic quiz "live", click the complete online button. This will give you the questions on the computer screen and you can work through the problem on a sheet of paper. Instantly, you can view the answer and submit your answers.

In both testing cases, you will need to submit your answers online for diagnostics. While both options are available, we recommend you put yourself in the "testing environment" by printing out the quiz.

Why do a Diagnostic Quiz?

Test Understanding - If you have completed the entire topic at school, run through the diagnostic to make sure that you have not forgotton anything

Revision / Test Preparation - The best way to identify which areas to focus on for an upcoming test or school quiz. If you are struggling in a particular subtopic in Proof, the diagnostic quiz will pick this up. This means that you can then go back to the topic quizzes and do additional practice in the right area.

Revision Quizzes

These revision quizzes on go through questions in Proof.

Series - Revision Quiz 1

Divisibility - Revision Quiz 1

*If you want to complete the quiz online, create a free account and complete online for instant results.

Check your answers for free online after you have completed the quiz. Use the QR or test code that is at the top of the topic quiz.

The following topic quizzes are part of the Proof topic. Each topic quiz contains 4-6 questions.

How to use:

Learn to start the questions - if you have absolutely no idea where to start or are stuck on certain questions, use the fully worked solutions

Additional Practice - test your knowledge and run through these topic quizzes to confirm learning and understanding

Revision - If you have an upcoming quiz or test at school, quickly run through the topic quizzes as a quick revision