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Proof

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Question 2
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n n\,n is an integer. Prove algebraically that the sum of (n+4)(n+3)(n + 4)(n + 3)(n+4)(n+3) and n+4n + 4n+4 is always a square number.

[2]

Proof Questions

  1. GCSE
  2. /Maths
  3. /Proof

Practise AQA GCSE Maths Proof with exam-style questions for Foundation and Higher tier. 56 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank

Quadratic Simultaneous Equations
Transforming Graphs y=f(x)
Proof
Completing the Square
The Nth Term of a Quadratic Sequence
Quadratic Inequalities
Velocity Time Graphs
Proof of the Circle Theorems
Perpendicular Lines and the equation of a tangent
Vectors Proof Questions
Probability Equation Questions