GCSE Proofs

Related Pages
More GCSE Maths

Algebraic Proof

How to attempt typical GCSE Algebraic Proof questions?
Examples:

1. Prove (x + 10)² - (x + 2)² is divisible by 16, where x is a positive integer.
2. Prove the sum of three consecutive even integers is divisible by 6.
3. Prove that the product of two odd numbers is always odd.
4. Prove that when two consecutive integers are squared, that the difference is equal to the sum of the two consecutive integers.

Algebraic Proof

GCSE Maths revision tutorial video.
Examples:

1. Prove algebraically that the sum of two consecutive odd numbers is always a multiple of 4.
2. Prove algebraically that the product of two even numbers is always a multiple of 4.

• See Video

Proof using Algebra

Examples:

1. Prove that (5n + 1)² - (5n - 1)² is a multiple of 5, for all positive integer values of n.
2. Prove that (n + 2)² - (n - 12)² is even, for all positive integer values of n.
3. Prove that the sum of any two consecutive odd numbers is always even.
4. Prove that the sum of the squares of any two consecutive numbers is always an odd number.

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.