Number worksheet — GCSE Foundation

1.Work out (3 × 5)²

2.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

3.Work out 15% of £40, using 10% and 5%.

4.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

5.Write down the fraction, in its simplest form, that is equal to 0.6

6.Work out (−36) ÷ (−6) × 2

7.Work out the highest common factor of 15 and 25.

8.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

9.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

10.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

11.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

12.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

13.Given that 2⁵ = 32, work out 2⁶.

14.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

15.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.