Mathematics · Oct / Nov 2022 · Paper 41 · Question 7
0580
As printed in the paper
The question as text
( ) f x x 10 = - ( ) , g x x x 2 0 ! = ( ) h x 2x = ( ) j x x 5 2 = -
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
7(a)(i)[1]
4 [1]
7(a)(ii)[1]
16 [1]
FT 2their 4
7(b)[1]
3 [1]
7(c)[2]
1 4 oe [2]
M1 for 2 = 2 3 or better x
7(d)[2]
−x oe final answer 5 2 [2]
M1 for x = 5 – 2y or y + 2x = 5 oe y 5 = − or x oe 2 2
7(e)[3]
11 x − x 2 + 2 final answer x [4]
− + + 3
B2 for (10 x x ) 2 x oe single fraction x
or B1 for x(10 – x) + 2 + x oe 2
or M1 for 10 − x + + 1 x
7(f)[4]
[a =] 1 [b =] –21 [c =] 100 [4]
B3 for x 2 − 21 x + 100 OR ( )
M1 for ( ) 2 ( ) 10 − x − 10 − 10 − x oe or better
B2 for ( ) 2 [ 10 − x ] 100 10 = − x − 10 x + x 2
or B1 for three out of four terms of ( ) 2 [ 10 − x ] 100 10 = − x − 10 x + x correct 2
7(g)[2]
1024 [2]
M1 for [x =] h(10) oe or better
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