AQA AS MATHEMATICS 7356 2 PAPER 2
CERTIFICATION EVALUATION EXAMS 2026
QUESTIONS WITH SOLUTIONS GUARANTEED
PASS
◉ 1/4. Answer: Evaluate.
(-8)^(-2/3)
◉ 2/3. Answer: Evaluate.
(9/4)^(-1/2)
◉ x = 6. Answer: Find x.
7⁸ ÷ 7ˣ = 49
◉ x = 6. Answer: Find x.
(6⁵ × 6ˣ) ÷ 36 = 6⁹
◉ x = 9. Answer: Find x.
(5⁷ × 5⁴) ÷ 5ˣ = 25
◉ 20. Answer: Evaluate (2√5)²
,◉ x = -7 or 5. Answer: Solve the quadratic equation by factorisation
x² + 2x - 35 = 0
◉ x = 0 or 4. Answer: Solve the quadratic equation by factorisation
5x² = 20x
◉ 49cm². Answer: A piece of card has a length of (2x - 1)cm and a
width of (x + 2)cm. A square of side xcm is removed from the card.
The area of the card that is left is 68cm². Find the area of the card
that has been removed.
◉ x = (-b ± √b² - 4ac) / 2a. Answer: What is the quadratic formula?
◉ x = -(5/2). Answer: Solve the quadratic equation
(2x² + 5x + 3) / (x² + 3x + 2) = 4
◉ x ≥ 2. Answer: Solve
2x + 7 ≤ 8x - 5
◉ x ≤ 2/5. Answer: Solve
4x - 7(2x - 1) ≥ 3
,◉ x ≤ - 1. Answer: Solve
(4 + x) / 3 ≤ 1 - 5(1 + x)
◉ -5 ≤ x ≤ 1/2. Answer: Solve and sketch the inequality
(5 + x)(1 - 2x) ≥ 0
◉ x ≤ -7/2 or x ≥ -4/5. Answer: Solve and sketch the inequality
10x² + 43x + 28 ≥ 0
◉ x ≤ 2, x ≥ 6. Answer: Solve and sketch the inequality
(x² + 12) / 2 ≥ 4x
◉ (x + b/2)² - (b/2)² + c. Answer: Complete the square
x² + bx + c
◉ (x - 5)² - 5. Answer: Write in the form (x + p)² + q
x² - 10x + 20
◉ x = 2 ± 2√3. Answer: Complete the square to find x
x² - 4x - 8 = 0
, ◉ x = 6 ± 0.5√170. Answer: Complete the square to find x
4x² - 48x - 26
◉ x = 0.42 or 1.58. Answer: Solve using the quadratic formula to 2
decimal places.
3x² = 6x - 2
◉ x = (-5 ± √57) / 4. Answer: Solve using the quadratic formula.
2x² -4 + 5x = 0
◉ (-1 - √5) / 2 < x < (-1 + √5) / 2. Answer: Solve using the quadratic
formula.
x² < 1 - x
◉ 3. Answer: How many significant figures should your final answer
in the exam have?
◉ x = ± 1.79. Answer: Solve using the quadratic formula.
To 3 sig figures.
2x⁸ - 20x⁴ - 7 = 0
◉ x = (-b ± √b² - 4ac) / 2a. Answer: Complete the square to find x
CERTIFICATION EVALUATION EXAMS 2026
QUESTIONS WITH SOLUTIONS GUARANTEED
PASS
◉ 1/4. Answer: Evaluate.
(-8)^(-2/3)
◉ 2/3. Answer: Evaluate.
(9/4)^(-1/2)
◉ x = 6. Answer: Find x.
7⁸ ÷ 7ˣ = 49
◉ x = 6. Answer: Find x.
(6⁵ × 6ˣ) ÷ 36 = 6⁹
◉ x = 9. Answer: Find x.
(5⁷ × 5⁴) ÷ 5ˣ = 25
◉ 20. Answer: Evaluate (2√5)²
,◉ x = -7 or 5. Answer: Solve the quadratic equation by factorisation
x² + 2x - 35 = 0
◉ x = 0 or 4. Answer: Solve the quadratic equation by factorisation
5x² = 20x
◉ 49cm². Answer: A piece of card has a length of (2x - 1)cm and a
width of (x + 2)cm. A square of side xcm is removed from the card.
The area of the card that is left is 68cm². Find the area of the card
that has been removed.
◉ x = (-b ± √b² - 4ac) / 2a. Answer: What is the quadratic formula?
◉ x = -(5/2). Answer: Solve the quadratic equation
(2x² + 5x + 3) / (x² + 3x + 2) = 4
◉ x ≥ 2. Answer: Solve
2x + 7 ≤ 8x - 5
◉ x ≤ 2/5. Answer: Solve
4x - 7(2x - 1) ≥ 3
,◉ x ≤ - 1. Answer: Solve
(4 + x) / 3 ≤ 1 - 5(1 + x)
◉ -5 ≤ x ≤ 1/2. Answer: Solve and sketch the inequality
(5 + x)(1 - 2x) ≥ 0
◉ x ≤ -7/2 or x ≥ -4/5. Answer: Solve and sketch the inequality
10x² + 43x + 28 ≥ 0
◉ x ≤ 2, x ≥ 6. Answer: Solve and sketch the inequality
(x² + 12) / 2 ≥ 4x
◉ (x + b/2)² - (b/2)² + c. Answer: Complete the square
x² + bx + c
◉ (x - 5)² - 5. Answer: Write in the form (x + p)² + q
x² - 10x + 20
◉ x = 2 ± 2√3. Answer: Complete the square to find x
x² - 4x - 8 = 0
, ◉ x = 6 ± 0.5√170. Answer: Complete the square to find x
4x² - 48x - 26
◉ x = 0.42 or 1.58. Answer: Solve using the quadratic formula to 2
decimal places.
3x² = 6x - 2
◉ x = (-5 ± √57) / 4. Answer: Solve using the quadratic formula.
2x² -4 + 5x = 0
◉ (-1 - √5) / 2 < x < (-1 + √5) / 2. Answer: Solve using the quadratic
formula.
x² < 1 - x
◉ 3. Answer: How many significant figures should your final answer
in the exam have?
◉ x = ± 1.79. Answer: Solve using the quadratic formula.
To 3 sig figures.
2x⁸ - 20x⁴ - 7 = 0
◉ x = (-b ± √b² - 4ac) / 2a. Answer: Complete the square to find x
