Core Mathematics

Question 1

1Expand (3x + 1)(x − 6).

Medium

A. 3x² + 17x − 6 B. 3x² − 6 C. 3x² − 17x − 6 D. 3x² − 5x − 6

Question 2

2a² − b² = (a − b)(a + b).

Easy

A. True B. False

Question 3

36x² − 9x = 3x(2x − 3).

Easy

A. True B. False

Question 4

4Expand (x + 3)(x + 5).

Medium

A. x² + 15 B. x² − 8x + 15 C. x² + 8x − 15 D. x² + 8x + 15

Question 5

5Evaluate 4² − 7² using the difference of two squares: ___

Medium

Your answer (fill in the blank)

Question 6

6Evaluate 5² − 2² using the difference of two squares: ___

Medium

Your answer (fill in the blank)

Question 7

7(x + y)² = x² + y².

Easy

A. True B. False

Question 8

8If y = mx + c, then x = (y − c)/m.

Easy

A. True B. False

Question 9

9Factorise x² + 8x + 12.

Hard

A. (x + 12)(x + 1) B. (x + 2)(x + 6) C. (x − 2)(x − 6) D. (x + 3)(x + 5)

Question 10

10Factorise 2x² + 7x + 3.

Hard

A. (x + 7)(2x + 3) B. (2x − 1)(x − 3) C. (2x + 1)(x + 3) D. (2x + 3)(x + 1)