Number worksheet — GCSE Foundation

1.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

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

3.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

4.Work out (−36) ÷ (−6) × 2

5.Write 200 as a product of its prime factors, using index notation.

6.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.

7.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

8.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

9.Work out (−3) × 4 + 10

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

11.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

12.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

13.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.

14.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.

15.Round 6.283 to 1 significant figure.