GCSE Maths: Proof and Algebraic Proof – Revision Quiz

10 QuestionsMultiple ChoiceFree Practice

About this quiz

This GCSE Maths: Proof and Algebraic Proof – Revision Quiz quiz contains 10 multiple choice questions designed to help you revise and test your GCSE Mathematics knowledge. Select an answer for each question and click “Submit Answer” to see instant feedback. Take your time and try to score as high as possible!

Description

Construct mathematical proofs and use algebraic reasoning to prove statements about numbers and expressions.

Progress0 / 10 answered
1

Question 1 of 10

An even number can be written as:
2

Question 2 of 10

An odd number can be written as:
3

Question 3 of 10

The sum of two consecutive integers n and (n+1) is:
4

Question 4 of 10

To prove that the sum of two even numbers is even, let them be 2a and 2b. Their sum is:
5

Question 5 of 10

A counterexample is used to:
6

Question 6 of 10

"The square of any odd number is odd." Let the odd number be 2k+1. Then (2k+1)² =
7

Question 7 of 10

Disprove: "All prime numbers are odd."
8

Question 8 of 10

Three consecutive integers are n, n+1, n+2. Their sum is:
9

Question 9 of 10

n² − n = n(n−1). This is always even because:
10

Question 10 of 10

Prove that (n+1)² − n² is always odd. Expand and simplify:

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