Number worksheet — GCSE Foundation

1.Write down the reciprocal of 5/8

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

3.Work out the value of √49 + ∛27

4.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

5.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

6.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

7.Work out 3.7 × 24.

8.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

9.Work out 0.6 × 0.04.

10.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

12.Work out 3/8 of 96.

13.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

14.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

15.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.