Mathematics · May / June 2023 · Paper 41 · Question 10
0580
As printed in the paper
The question as text
( )x x 4 f = - ( )x x 2 5 g = + ( )x 3 h x =
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10(a)(i)[1]
−7 [1]
10(a)(ii)[2]
− x 5 oe final answer 2 [1]
= + 2
M1 for correct first step e.g. x 2 y 5 or = − 2 x y 5 y 5 = + or x 2 2
10(a)(iii)[4]
3 − 2 − + 2 x 11 x 8 x 80 final answer [4]
M1 for ( ) ( ) ( ) − + − x 4 2 x 5 x 4 oe
B2 for 3 − 2 − 2 + 2 − − + + 2 x 8 x 8 x 5 x 20 x 20 x 32 x 80 or for simplified 4 term expression of the correct form with 3 terms correct in final answer
or B1 for 3 terms correct out of 4 from x 2 − 4 x − 4 x + 16 or 2 x 2 − 8 x + 5 x − 20
10(b)[2]
0 [2]
M1 for g(− 2) or 3௫= 1 or 2(x – 4) + 5 oe ( () ) = g f 2 1 or
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