Number worksheet — GCSE Foundation

1.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

2.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

3.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

4.Work out (−36) ÷ (−6) × 2

5.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

6.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.

7.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

8.Work out 3 × (−2)² − 5

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

10.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

11.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

12.Work out (−6) + (−4) × 3

13.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

14.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

15.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.