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Proof

Algebraic Proof (C) 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 (C) WORKSHEET DESCRIPTION

This worksheet builds on the work done in Algebraic Proof (B) 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 algebraically the difference between the squares of any two consecutive even numbers is always a multiple of 4" and proving a ratio using Pythagoras' Theorem.

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

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

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Frequently Asked Questions

This worksheet is designed for students targeting grades 6-7 at GCSE Higher tier. You'll be working with more sophisticated algebraic manipulations than in earlier proof work, so having a solid foundation in the prerequisite skills will help you access these challenging problems successfully.