Mathematics · Oct / Nov 2023 · Paper 41 · Question 9
0580
As printed in the paper
The question as text
( ) ( )( )( ) ( ) ( ) f h x x x x x x x 3 1 5 4 2 3 4 g x 2 1 = + + - = - = -
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
9(a)(i)[1]
–20 [1]
9(a)(ii)[2]
x + 3 oe final answer 2 [2]
M1 for x = 2y – 3 or better or y + 3 = 2x or better y = x – 3 or 2 or better 2
9(a)(iii)[2]
125 [2]
M1 for g(64) or 2(42x – 1) – 3
9(b)[2]
2.5 oe [2]
M1 for 2(2x) – 3 = 7 or better
9(c)[3]
2x2 +4x – 11 final answer [3]
B2 for 2x2 and either +4x or – 11 in final 3 term answer or for correct answer seen then spoiled
or M1 for 2x2 – 3 + 2(2x – 3) – 3 [+ 1]
9(d)[2]
1.5 oe [2]
M1 for 42x – 1 = 42 or better
9(e)[3]
a = 3 b = 4 c = –59 d = –20 [3]
B2 for 3 correct values or for correct unsimplified expanded expression or for simplified four-term expression of correct form with 3 terms correct
or B1 for 2 correct values or for correct expansion of one pair of brackets with at least 3 out of 4 terms correct.
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