Module 2 · Practice

Practice questions

Three difficulty levels. Have a proper go before checking the answers.

Section A — Easy

Warm-up

Calculate:

(a) 4.6 + 2.3 (b) 5.7 − 1.4 (c) 3.25 + 0.8 (d) 6.1 − 2.45

Calculate:

(a) 0.3 × 0.2 (b) 0.7 × 0.4 (c) 0.5 × 0.6

Calculate:

(a) 6 ÷ 0.2 (b) 4.8 ÷ 0.6 (c) 9 ÷ 0.3

For the line y = x + 3, complete the table:

x: −1 0 1 2
y: ___ ___ ___ ___

For the line y = 3x − 2, what is the gradient and the y-intercept?

A taxi charges £2.50 fixed plus £1.20 per mile. Write a formula for the cost C of a journey of m miles.

Section B — Medium

Typical Year 8 standard

Calculate:

(a) 2.4 × 1.5 (b) 3.6 × 0.25 (c) 12.6 ÷ 0.04

A piece of wood is 4.8m long. It's cut into pieces of length 0.6m. How many pieces?

Find three points on the line y = 2x − 1 and plot it. State the gradient and y-intercept.

The line passes through (0, 4) and (3, 10). Find the gradient.

A car travels at a steady speed. After 2 hours it has travelled 90 miles. After 5 hours it has travelled 225 miles. Sketch the distance–time graph and state the speed.

£1 = $1.25. Use a conversion graph to estimate $80 in pounds.

Section C — Hard

Challenge / problem-solving

Without a calculator: 0.6 × 1.4 + 2.16 ÷ 0.4

The line y = mx + c passes through (1, 5) and (4, 14). Find m and c.

A swimming pool fills at a constant rate. After 10 minutes it contains 60 litres. After 25 minutes it contains 150 litres.

(a) Find the rate (litres per minute) (b) How much was already in the pool when filling started? (c) Write an equation for V (litres) in terms of t (minutes)

Two phone tariffs: A charges £10 + £0.05 per minute. B charges £4 + £0.08 per minute. After how many minutes do they cost the same?

Check answers

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