Number worksheet — GCSE Foundation

1.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

2.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

3.Work out how many factors 36 has.

4.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

5.Work out 4368 ÷ 12.

6.Write down the reciprocal of 5/8

7.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

8.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

9.Write these numbers in order, starting with the smallest: 3, −1, 0, −5

10.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.

11.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

12.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

13.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

14.Write down the decimal that is equal to 3/5.

15.Write 0.36 as a fraction in its simplest form.