Mathematics · May / June 2025 · Paper 11 · Question 1
YMA01
As printed in the paper
The question as text
1. Given that p = 1 4 q = 40 16 x 3x express each of the following in the form kx n where k and n are fully simplified constants. 1
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
1(a)[1]
p
2
=
x
4
=
x
2
16
4
−
1
−
1
1
40
5
2
(
)
pq
−
1
=
x
4
×
=
x
=
x
−
1
1(b)[2]
16
3
2
5
x
2
1
40
1600
x
4
2
−
2
p q
=
x
4
×
=
×
=
100
x
1(c)[2]
16
3
16
x
x
6
(a)
1
x or
2
1
2
2
2
B1: For
4 x . Allow
0.25 x Condone
±
4 x
4
Note: final answer below for (b) and (c) does not include going on to give alternative correct forms
for the same answer. If further incorrect work follows a correct answer then do not isw but take the
final expression as their answer.
(b)
M1: A final answer with a correct simplified coefficient or index. E.g 2
nx , 0.4
nx ,
kx
5
equivalent variations) Also allow (
)
−
1
kx
2
− but isw 2
A1: A final answer of
5 x
− or
1
1
5x following this. Incorrect “simplifications” will be
0.4 x
A0, though.
(c)
M1: A final answer with a correct simplified coefficient or index. E.g 100
nx ,
kx
− or
2
100
− but isw
2
A1: A final answer of
100x
following this. Incorrect “simplifications” will be A0,
x
2
though.
5
2
y
=
2
x
−
4
x
+
3
3
d
y
✓
=
5
x
2
−
4
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