A Level Maths PURE Questions, Exercises of Mathematics

Pure AQA A Level Maths revision questions

Typology: Exercises

2025/2026

Uploaded on 06/10/2026

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Questions
1. Differentiate
y
=4
x
35
x
2+7
x
1
.
2. Solve:
x
29
x
+20=0
3. Find:
(6
x
24
x
+3)
dx
4. Solve:
2sin
x
=
3
for
0
x
<360
.
5. Find the coordinates of the turning point of:
y
=
x
28
x
+7
6. Expand:
(
2+
x
)
4
7. Solve:
8. Find the gradient of:
y
=5
x
42
x
3+7
at
x
=1
.
9. Find the equation of the tangent to:
y
=
x
2+3
x
at
x
=2
.
10. A geometric sequence has first term 6 and ratio 3. Find the
7th term.
pf2

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Questions

1. Differentiate y = 4 x 3 − 5 x 2 + 7 x − 1.

  1. Solve:

x

2

− 9 x + 20 = 0

  1. Find:

∫ ( 6 x 2 − 4 x + 3 ) dx

  1. Solve:

2 sin x =√ 3

for 0 ∘^ ≤ x < 360 ∘^.

  1. Find the coordinates of the turning point of:

y = x

2

− 8 x + 7

  1. Expand:

( 2 + x )

4

  1. Solve:

log 3 ( x )= 4

  1. Find the gradient of:

y = 5 x

4

− 2 x

3

  • 7

at x = 1.

  1. Find the equation of the tangent to:

y = x

2

+ 3 x

at x = 2.

  1. A geometric sequence has first term 6 and ratio 3. Find the 7th term.

Answers

1. 12 x 2 − 10 x + 7

2. x = 4 , 5

3. 2 x 3 − 2 x 2 + 3 x + C

4. 60 ∘^ , 120 ∘

6. 16 + 32 x + 24 x 2 + 8 x 3 + x 4

9. y = 7 x − 4