Core Mathematics

Question 1

1Factorise 2x² − 18 completely.

Medium

A. 2(x² − 9) B. (2x − 3)(x + 6) C. 2(x − 3)(x + 3) D. 2(x − 9)(x + 9)

Question 2

2Simplify (a² − b²)/(a² + ab).

Hard

A. (a − b)/b B. (a + b)/a C. (a − b)/a D. a − b

Question 3

3Factorise 2x² + 5x − 12.

Hard

A. (x − 3)(2x + 4) B. (2x + 3)(x − 4) C. (2x − 3)(x + 4) D. (2x − 4)(x + 3)

Question 4

4Expand (x − 5)².

Easy

A. x² + 25 B. x² − 5x + 25 C. x² − 10x + 25 D. x² − 25

Question 5

5Factorise completely 2x³ − 18x.

Hard

A. 2x(x² − 9) B. x(2x − 6)(x + 3) C. 2(x³ − 9x) D. 2x(x − 3)(x + 3)

Question 6

6Simplify 2/x + 3/(2x).

Medium

A. 5/(3x) B. 7/(2x) C. 6/(2x²) D. 5/(2x)

Question 7

7Find the next term and rule: 1, 4, 9, 16, …

Easy

A. 23; add 7 B. 32; double C. 20; add 4 D. 25; the nth term is n²

Question 8

8Simplify 3/(x + 1) − 2/x.

Medium

A. 1/(2x + 1) B. (x + 2)/(x(x + 1)) C. 1/(x(x + 1)) D. (x − 2)/(x(x + 1))

Question 9

9Factorise 9y² − 25.

Easy

A. (9y − 5)(y + 5) B. (3y − 5)² C. (3y − 5)(3y + 5) D. (3y + 25)(3y − 1)

Question 10

10Factorise x² + 7x + 12.

Easy

A. (x + 3)(x + 4) B. (x − 3)(x − 4) C. (x + 1)(x + 12) D. (x + 2)(x + 6)