Mathematics · May / June 2024 · Paper 41 · Question 9
0580
As printed in the paper
The question as text
( )x x 4 1 f = + ( )x x 6 2 g = - ( )x 3 h x 2 = -
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Show the answer and mark scheme
9(a)(i)[1]
13 [1]
9(a)(ii)[1]
–20 [1]
FT 6 – 2(their (a)(i))
9(b)[2]
−x oe final answer 6 2 [2]
M1 for correct first step y x = 6 – 2y, y – 6 = – 2x, 2 = 3 − x
9(c)[4]
2.375 oe [4]
B1 for 6 – 2(2x – 7) oe
B1 for 4x + 1 = 6 – 4x + 14
M1 for 8x = 19 FT their linear equation + = + rearranged correctly from ax b cx d to form ex = f
9(d)[2]
1 3 or 0.333… [2]
M1 for h(1) or 3^(3x-2 – 2) or 3^(32-2 – 2) or better
9(e)[2]
6561 [2]
M1 for 310–2 or x = h(10)
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