Number worksheet — GCSE Foundation

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

2.Find the missing number: ▢ ÷ 15 = 24

3.Work out ⁴√81

4.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

5.Round 592.5 to the nearest 10.

6.Which of these numbers is a common factor of 18 and 24?

7.Write down the decimal that is equal to 3/5.

8.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

9.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

10.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.

11.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.

12.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

13.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

14.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

15.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.