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Proof

Algebraic Proof (B) WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Forming expressions, collecting like terms, expanding single and double brackets, factorising.
Learning Objective: Prove statements about positve integers algebraically

Algebraic Proof (B) WORKSHEET DESCRIPTION

This worksheet builds on the work done in Algebraic Proof (A) by using the basic concepts of writing expressions for even numbers, odd numbers, consecutive numbers etc. and asking for more complicated sums, differences and squares to prove statements such as "Prove that the difference between the squares of any two consecutive numbers is always an odd number" and "Prove that the sum of three consecutive numbers is always a multiple of 3".

More algebraic proof questions can be found in Algebraic Proof (C).

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Algebraic Proof worksheet fit for students in year 10 and year 11

RELATED TO Algebraic Proof (B) WORKSHEET

Algebraic Proof (C)

Year groups: 10, 11

Preview of Algebraic Proof (C)

Expanding Double Brackets (A) Using the Grid Method

Year groups: 8, 9, 10

Preview of Expanding Double Brackets (A) Using the Grid Method

Algebraic Proof (A)

Year groups: 10, 11

Preview of Algebraic Proof (A)

Expanding and Factorising Mixed Exercise

Year groups: 8, 9, 10

Preview of Expanding and Factorising Mixed Exercise

Frequently Asked Questions

These questions are designed for students targeting grades 6-7 at GCSE level. You'll need to demonstrate solid algebraic manipulation skills alongside clear mathematical reasoning to access these higher grades. The proofs require you to work systematically through algebraic expressions to establish general results about integers.