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Algebraic Methods

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Question 39
a.

Prove that the following statement is not true.

m m\,m is an odd number greater than 1 ⇒m2+10\Rightarrow m^2 + 10⇒m2+10 is prime.

[2]
b.

By considering separately the case when n n\,n is odd and the case when n n\,n is even, prove that the following statement is true.

n n\,n is a positive integer ⇒n2+5\Rightarrow n^2 + 5⇒n2+5 is not a multiple of 4.

[4]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.

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