More GCSE Maths
How to attempt typical GCSE Algebraic Proof questions?
- Prove (x + 10)2 - (x + 2)2 is divisible by 16, where x is a positive integer.
- Prove the sum of three consecutive even integers is divisible by 6.
- Prove that the product of two odd numbers is always odd.
- Prove that when two consecutive integers are squared, that the difference is equal to the sum of the two consecutive integers.
GCSE Maths revision tutorial video.
- Prove algebraically that the sum of two consecutive odd numbers is always a multiple of 4.
- Prove algebraically that the product of two even numbers is always a multiple of 4.
Proof using Algebra
- Prove that (5n + 1)2 - (5n - 1)2 is a multiple of 5, for all positive integer values of n.
- Prove that (n + 2)2 - (n - 12)2 is even, for all positive integer values of n.
- Prove that the sum of any two consecutive odd numbers is always even.
- Prove that the sum of the squares of any two consecutive numbers is always an odd number.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.