Number worksheet — GCSE Foundation

1.Write 0.36 as a fraction in its simplest form.

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

3.Work out (3 × 5)²

4.Round 4,685 to the nearest 100.

5.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

6.Work out 2 × (−3 + 7)

7.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

8.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

9.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

10.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

11.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.

12.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

13.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

14.Work out −(−3)⁴ + (−3)³

15.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?