Number worksheet — GCSE Foundation

1.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

2.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

3.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

4.Work out the value of √64.

5.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.

6.Which of these is equal to 5³?

7.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

8.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

9.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

10.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

11.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

12.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

13.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

14.Write down the symbol that makes this statement true: 0.45 ___ 0.5

15.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.