Number worksheet — GCSE Higher

1.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?

2.Work out 5⁰ + 5¹ + 5²

3.Given that 2⁵ = 32, work out 2⁶.

4.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

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.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

7.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

8.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

9.Write 5,000,000 in standard form.

10.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

11.Work out 5/6 × 2/9, giving your answer in its simplest form.

12.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

13.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

14.2/3 of an amount of money is £30. Work out the amount.

15.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.