Mathematics > QUESTION PAPER & MARK SCHEME > Pearson Edexcel Level 3 GCE., Further Mathematics Advanced PAPER 4A: Further Pure Mathematics 2 (All)
Pearson Edexcel Level 3 GCE., Further Mathematics Advanced PAPER 4A: Further Pure Mathematics 2
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1. In this question you must show detailed reasoning. Without performing any division, explain why n = 20 210520 is divisible by 66 2. A binary operation on the set of non‑negative integers, �... ��+0, is defined by m n = ½m – n½ m, n ∈ +0 (a) Explain why +0 is closed under the operation (1) (b) Show that 0 is an identity for (+0, ) (2) (c) Show that all elements of +0 have an inverse under (2) (d) Determine if +0 forms a group under , giving clear justification for your answer. (3 3. (a) Use the Euclidean Algorithm to find integers a and b such that 125a + 87b = 1 (5) (b) Hence write down a multiplicative inverse of 87 modulo 125 (1) (c) Solve the linear congruence 87x ≡ 16 (mod 125) [Show More]
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