Number worksheet — GCSE Foundation

1.Given that 2⁵ = 32, work out 2⁶.

2.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

3.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

4.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

5.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

6.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

7.Round 0.006482 to 2 significant figures.

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

9.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

10.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

11.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

12.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

13.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

14.Work out the value of 2⁻⁴

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