Core Mathematics

Question 1

1Find the largest integer x such that 3(x − 2) < 2x + 4.

Hard

A. 6 B. 8 C. 9 D. 10

Question 2

2Solve 3 ≤ 2x + 1 < 9.

Medium

A. 2 ≤ x < 5 B. 0 ≤ x < 4 C. 1 < x ≤ 4 D. 1 ≤ x < 4

Question 3

3Make r the subject of A = πr².

Easy

A. r = A²/π B. r = √(A/π) C. r = √(Aπ) D. r = A/π

Question 4

4Solve −3 < 2x + 1 ≤ 7.

Medium

A. −1 < x ≤ 4 B. −4 < x ≤ 6 C. −2 ≤ x < 3 D. −2 < x ≤ 3

Question 5

5Solve 2x + 3 ≤ 11.

Easy

A. x ≤ 7 B. x < 4 C. x ≥ 4 D. x ≤ 4

Question 6

6Make h the subject of V = (1/3)πr²h.

Medium

A. h = 3Vπr² B. h = 3V/(πr²) C. h = πr²/(3V) D. h = V/(3πr²)

Question 7

7Make x the subject of y = (x + 3)/2.

Easy

A. x = (y − 3)/2 B. x = y/2 − 3 C. x = 2y + 3 D. x = 2y − 3

Question 8

8Make h the subject of V = πr²h.

Easy

A. h = πr²/V B. h = V/(πr²) C. h = V − πr² D. h = Vπr²

Question 9

9Solve −3x > 12.

Easy

A. x < −4 B. x > 4 C. x < 4 D. x > −4

Question 10

10Make u the subject of v² = u² + 2as.

Easy

A. u = √(v² − 2as) B. u = √(v² + 2as) C. u = v − 2as D. u = v² − 2as