Mathematics · May / June 2025 · Paper 11 · Question 2
YMA01
As printed in the paper
The question as text
2. The curve C has equation 5 y 2 x 4 x 3 2
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
2(a)[2]
d
x
3
3
2(b)[3]
5
2
4
16
2
4
x
−
=
x
=
2
4
4
x
=
4
3
=
2
3
k
=
3
Note: Allow benefit of doubt if some fractional indices look like they are inline but it is clear that
powers are intended.
(a)
M1: For decreasing a correct power by one including 3
→
0
3
2
A1: For
5
x −
4
(b)
3
3
( )
3
d
y
d
y
2
k
2
M1: Sets their
=
α
x
+
β
=
16
and proceeds to
x = or
2
=
α
2
+
β
=
16
and proceeds with
d
x
d
x
3
correct index work to (
)
2k
=
q
or 2 pk
=
q
(oe)
2
3
3
or (
)
k =
A1: Achieves
x =
2
4
2
k
=
4
or
2
3
16
(oe in form 2 pk
=
q
)
2
4
4
A1:
k =
3
(oe) but accept
x =
2
as long as no incorrect statement for k follows. Note if a decimal is given it
3
must be recurring, not rounded.
They may use logs to solve, do not be concerned about use of rounded values in working. If
4
achieved and they reach
k =
from log work even with incorrect rounding shown, assume full calculator
3
accuracy was kept in working and award the mark.
(
)
2
x
+
3
d
x
3
x
(
x
3
)
2
2
3
1
1
+
x
+
6
x
+
9
1
−
=
=
x
2
+
2
x
2
+
3
x
2
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