Number worksheet — GCSE Higher

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

2.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

3.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

4.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

5.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

6.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

7.Work out how many factors 100 has.

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

9.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?

10.Work out (−6) + (−4) × 3

11.Work out the value of 2⁻²

12.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.

13.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

14.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

15.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.