Number worksheet — GCSE Foundation

1.Simplify (y³)⁴, giving your answer as a single power of y.

2.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.

3.Write 45,000 in standard form.

4.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

5.Estimate the value of √45, giving your answer to the nearest whole number.

6.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

7.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

8.Work out √49

9.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

10.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

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

12.Work out the value of 2⁻²

13.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?

14.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

15.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09