MATH

NUMBER & INDICES

100

Write 0.00452 in standard form.

4.52 × 10⁻³

200

A laptop costs $960. It depreciates by 15%.
Find its new value.

816

300

4⁵÷4³

4^-2

400

A number is increased by 20% and becomes 360.
Find the original number.

300

ALGEBRA

100

7x − 9 = 19

x = 4

200

(2x − 5)(x + 3)

2x² + x − 15

300

Factorise completely:
2x² − 8x − 10

2(x − 5)(x + 1)

400

Solve simultaneously:
2x + 3y = 17
x − y = 1

x = 4, y = 3

GEOMETRY

100

Find the area of a parallelogram
base = 12 cm, height = 7 cm

84 cm²

200

Find the circumference of a circle
radius = 8 cm
Use π = 3.14

50.24 cm

300

Angles in triangle are x, 2x, 3x

x = 30

400

Interior angle of regular polygon is 156°.
Find number of sides.

n = 15 sides

RATIO & PERCENTAGES

100

Simplify 24 : 36

2 : 3

200

Share $720 in ratio 4 : 5

$320 and $400

300

A shirt costing $80 is increased by 10% and then reduced by 10%.
Find final price.

$79.20

400

The ratio of boys to girls is 3 : 5.
There are 24 boys.
Find number of girls.

40

PROBABILITY & STATISTICS

100

Mean of 8, 12, 15, 5

10

200

Median of 6, 3, 9, 12, 15

9

300

The mean of 5 numbers is 14.

70

400

Two independent events each have probability 0.6.
Find probability both happen.

0.36