Number worksheet — GCSE Foundation

1.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

2.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

3.Which of these is written correctly in standard form?

4.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

5.Simplify x⁷ × x⁴, giving your answer as a single power of x.

6.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

7.Work out 3π − π, giving your answer as a multiple of π.

8.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.

9.Work out 2⁵.

10.Work out (−3) × 4 + 10

11.Write 260,000 in standard form.

12.Which of these is equal to 5³?

13.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.

14.Work out 0.6 × 0.04.

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