Mathematics · May / June 2021 · Paper 41 · Question 12
0580
As printed in the paper
The question as text
( )x x 3 2 f = - ( )x x 5 g 2 = + ( )x x h 3 =
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12(a)[1]
13 [1]
12(b)[2]
4x – 3 final answer [2]
M1 for 3 − 2 3 ( − 2x )
12(c)[4]
− 7 5 [4]
M1 for 2 + − = 2 x 2 x 35 [ 0] or x + 2 x = 35
M2 for ( x + 7 )( x − 5 ) or ( x x − 5 ) + 7 ( x − 5 ) or ( x x + 7 ) − 5 ( x + 7 )
or M1 for ( x + a )( x + b ) where a, b are integers with ab = − 35 or a + b = 2
12(d)[2]
3 − x oe final answer 2 [2]
M1 for a correct first step: x = 3 − 2 y or y − 3 = − 2 x , 2x = 3 – y or y 3 = − x 2 2
12(e)[5]
2 3 32 − 54 x + 37 x − 8 x final answer [5]
B4 for 2 2 3 + x2 + 5 oe 27 − 36 x − 18 x + 24 x + 12 x − 8 x OR 3
B1 for ( 3 − 2x ) + x2 + 5 and
B2 for expansion of the 3 brackets, allow one error
or B1 for correct expansion of 2 of the brackets with at least 3 terms correct
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