Number worksheet — GCSE Foundation

1.Write 90 as a product of its prime factors.

2.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

3.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

4.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.

5.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

6.Work out ⁴√16

7.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

8.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

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

10.Which of these statements about −0.7 and −0.25 is true?

11.Write 0.25 as a fraction in its simplest form.

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

13.Which one of these statements about negative numbers is true?

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