AQA A-LEVEL MATHS PAPER 2 Exam Questions And Correct Answers (Verified Answers) Plus Rationales 2026 Q&A | Instant Download Pdf

AQA A-LEVEL MATHS PAPER 2
Exam Questions And Correct
Answers (Verified Answers)
Plus Rationales 2026 Q&A |
Instant Download Pdf

1.
Solve the equation:
x2−5x−14=0x^2 - 5x - 14 = 0x2−5x−14=0
A. x=7,−2x = 7, -2x=7,−2
B. x=−7,2x = -7, 2x=−7,2
C. x=5,−14x = 5, -14x=5,−14
D. x=3,−4x = 3, -4x=3,−4
Answer: A
Factorising gives (x−7)(x+2)=0.


2.
Simplify:
6x2y3xy2\frac{6x^2y}{3xy^2}3xy26x2y
A. 2x/y2x/y2x/y
B. 2x/y22x/y^22x/y2

,C. 3x/y3x/y3x/y
D. 2x2/y2x^2/y2x2/y
Answer: A
Cancel common factors.


3.
Solve:
ln⁡x=3\ln x = 3lnx=3
A. x=3x = 3x=3
B. x=e3x = e^3x=e3
C. x=103x = 10^3x=103
D. x=e−3x = e^{-3}x=e−3
Answer: B
Exponentiate both sides.


4.
Differentiate:
y=4x3−2x2+7y = 4x^3 - 2x^2 + 7y=4x3−2x2+7
A. 12x2−4x12x^2 - 4x12x2−4x
B. 4x2−2x4x^2 - 2x4x2−2x
C. 12x3−4x212x^3 - 4x^212x3−4x2
D. 4x2−4x4x^2 - 4x4x2−4x
Answer: A
Power rule applied.


5.
Integrate:
∫6x2dx\int 6x^2 dx∫6x2dx

,A. 2x3+C2x^3 + C2x3+C
B. 6x3+C6x^3 + C6x3+C
C. x3+Cx^3 + Cx3+C
D. 3x2+C3x^2 + C3x2+C
Answer: A
Increase power and divide.


6.
Find the gradient of y=x2y = x^2y=x2 at x=3x = 3x=3
A. 3
B. 6
C. 9
D. 12
Answer: B
Derivative is 2x, so 2(3)=6.


7.
Solve:
2x=162^{x} = 162x=16
A. 2
B. 3
C. 4
D. 5
Answer: C
16 = 2⁴.


8.
Given f(x)=2x+3f(x)=2x+3f(x)=2x+3, find f−1(x)f^{-1}(x)f−1(x)

, A. (x−3)/2(x-3)/2(x−3)/2
B. (x+3)/2(x+3)/2(x+3)/2
C. 2x−32x-32x−3
D. x/2+3x/2+3x/2+3
Answer: A
Swap x and y and rearrange.


9.
Find the sum of first 10 terms of arithmetic sequence: 3, 7, 11, ...
A. 200
B. 210
C. 220
D. 230
Answer: B
Use Sn = n/2(2a+(n−1)d).


10.
Equation of a line with gradient 3 passing through (0, −2):
A. y = 3x − 2
B. y = 3x + 2
C. y = −3x − 2
D. y = x − 2
Answer: A
Use y=mx+c.


11.
Solve:
sin⁡x=0\sin x = 0sinx=0 for 0°≤x≤360°0° \le x \le 360°0°≤x≤360°