Number worksheet — GCSE Higher

1.Work out the value of √(16 + 9)

2.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.

3.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

4.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.

5.Work out ∛64.

6.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.

7.Work out (−6) + (−4) × 3

8.Given that 2⁵ = 32, work out 2⁶.

9.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.

10.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

11.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

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

13.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

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

15.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.