Quadratic expressions - Intermediate & Higher tier test questions - WJEC - GCSE Maths Revision

1

Expand (x – 2)(x + 4)

x² + 2x - 8

x² + 6x - 8

x² + 6x + 8

2

Expand (x – 4)(x – 6)

x² – 10x – 24

x² + 10x – 24

x² – 10x + 24

3

Factorise x² – 9x + 20

(x - 4)(x - 5)

(x – 8)(x – 1)

(x + 6.5)(x – 14.5)

4

Factorise x² + 4x – 21

(x – 7)(x + 3)

(x + 7)(x – 3)

(x – 7)(x – 3)

5

Factorise 9x² – 25

(9x – 5)(9x + 5)

(3x – 5)(3x + 5)

(4.5x – 5)(4.5x + 5)

6

Factorise 3x² – 14x – 5

(3x – 5)(x + 1)

(3x + 5)(x – 1)

(3x + 1)(x – 5)

7

Two rectangles of area x² + 2x – 3 are joined together. Which of the following pairs could represent the lengths of the sides of the new shape?

(x – 1), (x + 3)

(2x – 2), (x + 3)

(x – 1), (2x + 3)

8

Solve x² + 17x + 16 = 0 by factorising.

x = 1 and x = 16

x = –1 and x = –16

x = 1 and x = –16

9

Solve x² – 4x + 2 = 0 using the quadratic formula.

x = –0.586 and x = –3.313

x = –0.586 and x = 3.414

x = 0.586 and x = 3.414

10

This is the graph of y = x² – 5x – 20:

Use the graph to solve x² – 5x – 20 = 0.

(x = –2.5) , (x = 7.5)

(x = –2.1) , (x = 6.4)

(x = –2.2) , (x = 6.8)