AQA AS MATHEMATICS 7356 2 PAPER 2
ACTUAL EXAM PAPER 2026 QUESTIONS WITH
SOLUTIONS GRADED A+
◉ 1. Write as a product of primes.
2. Use a venn diagram.
3. Multiply ALL the numbers in the venn diagram. Answer: How do
you find the LCM of two numbers? e.g. LCM of 20 and 70
◉ 1. Write as a product of primes.
2. Use a venn diagram.
3. Multiply the numbers in the middle. Answer: How do you find the
HCF of two numbers?
e.g. HCF of 20 and 70
◉ Multiply the number by itself and by itself again.
5 x 5 x 5 = 125 Answer: How do you cube a number? e.g. 5³
◉ 3 x 3 x 3 x 3 = 81 Answer: How do you work out 3⁴?
,◉ Find what number would be cubed to get the number you are
cube rooting. ³√27 = 3 Answer: How do you cube root a number? e.g.
³√27
◉ y⁸ (add the powers) Answer: What is y³ x y⁵
◉ y⁶ (subtract the powers) Answer: What is y⁸ ÷ y²
◉ y⁸ (multiply the powers) Answer: What is (y²)⁴
◉ Round all numbers to 1 significant figure and then calculate.
e.g. 198.7 x 0.203 ≈ 200 x 0.2 = 40 Answer: How do you estimate a
calculation? e.g. 198.7 x 0.203
◉ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 Answer: What are the first 10
prime numbers?
◉ 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 Answer: What are the first 10
square numbers?
◉ 1, 8, 27, 64, 125 Answer: What are the first 5 cube numbers?
◉ Positive.
, e.g. 8 x 3 = 24 Answer: Positive X Positive
◉ Negative.
e.g. 5 x -3 = -15 Answer: Positive X Negative
◉ Negative.
-10 x 2 = -20 Answer: Negative X Positive
◉ Positive.
-4 x -7 = 28 Answer: Negative X Negative
◉ Positive.
1000 ÷ 2 = 500 Answer: Positive ÷ Positive
◉ Negative.
40 ÷ -4 = -10 Answer: Positive ÷ Negative
◉ Negative.
-8 ÷ 4 = -2 Answer: Negative ÷ Positive
◉ Positive.
-40 ÷ -8 = 5 Answer: Negative ÷ Negative
ACTUAL EXAM PAPER 2026 QUESTIONS WITH
SOLUTIONS GRADED A+
◉ 1. Write as a product of primes.
2. Use a venn diagram.
3. Multiply ALL the numbers in the venn diagram. Answer: How do
you find the LCM of two numbers? e.g. LCM of 20 and 70
◉ 1. Write as a product of primes.
2. Use a venn diagram.
3. Multiply the numbers in the middle. Answer: How do you find the
HCF of two numbers?
e.g. HCF of 20 and 70
◉ Multiply the number by itself and by itself again.
5 x 5 x 5 = 125 Answer: How do you cube a number? e.g. 5³
◉ 3 x 3 x 3 x 3 = 81 Answer: How do you work out 3⁴?
,◉ Find what number would be cubed to get the number you are
cube rooting. ³√27 = 3 Answer: How do you cube root a number? e.g.
³√27
◉ y⁸ (add the powers) Answer: What is y³ x y⁵
◉ y⁶ (subtract the powers) Answer: What is y⁸ ÷ y²
◉ y⁸ (multiply the powers) Answer: What is (y²)⁴
◉ Round all numbers to 1 significant figure and then calculate.
e.g. 198.7 x 0.203 ≈ 200 x 0.2 = 40 Answer: How do you estimate a
calculation? e.g. 198.7 x 0.203
◉ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 Answer: What are the first 10
prime numbers?
◉ 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 Answer: What are the first 10
square numbers?
◉ 1, 8, 27, 64, 125 Answer: What are the first 5 cube numbers?
◉ Positive.
, e.g. 8 x 3 = 24 Answer: Positive X Positive
◉ Negative.
e.g. 5 x -3 = -15 Answer: Positive X Negative
◉ Negative.
-10 x 2 = -20 Answer: Negative X Positive
◉ Positive.
-4 x -7 = 28 Answer: Negative X Negative
◉ Positive.
1000 ÷ 2 = 500 Answer: Positive ÷ Positive
◉ Negative.
40 ÷ -4 = -10 Answer: Positive ÷ Negative
◉ Negative.
-8 ÷ 4 = -2 Answer: Negative ÷ Positive
◉ Positive.
-40 ÷ -8 = 5 Answer: Negative ÷ Negative
