2025 AQA A-LEVEL FURTHER MATHEMATICS Paper 3 Discrete Question Paper & Mark Scheme (Merged) Friday 13 June 2025

,2
Do not write
outside the




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,3
Do not write
outside the




Turn over U



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, 4
Do not write
outside the
3 The group ( X, ) is an abelian group of order 4 box

The elements of X are
e, a, b and c

where e is the identity element of (X, )

The following is a partially completed Cayley table for ( X, )


* e a b c

e e a b c

a a e c b

b b e a

c c e


Which one of the following fully completed Cayley tables for ( X, ) is correct?

Tick ( ) one box.
[1 mark]


* e a b c * e a b c

e e a b c e e a b c

a a e c b a a e c b

b b a e a b b a e a

c c b c e c c c b e




* e a b c * e a b c

e e a b c e e a b c

a a e c b a a e c b

b b c e a b b c e a

c c a b e c c b a e




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