Number worksheet — GCSE Foundation

1.Which of these numbers is a common factor of 18 and 24?

2.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

3.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

4.Write down the symbol that makes this statement true: 3/10 ___ 0.3

5.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

6.Work out ∛(−27) + ∛8

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

8.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

9.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

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

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

12.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

13.Round 6.283 to 1 significant figure.

14.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

15.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.