Number worksheet — GCSE Foundation

1.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

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

3.Work out −4.5 + 2.8.

4.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

5.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

6.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

7.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

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

9.Work out ∛(−27) + ∛8

10.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

11.Write 60 as a product of its prime factors, using index notation.

12.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

13.Work out 3 × (−2)² − 5

14.Work out 15% of £40, using 10% and 5%.

15.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.