Number worksheet — GCSE Higher

1.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

2.Work out 4368 ÷ 12.

3.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

4.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

5.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

6.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.

7.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

8.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

9.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

10.Write down the exact decimal value of the fraction 1/6.

11.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

12.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

13.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

14.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.

15.Work out the value of 6² − 4³.