Number worksheet — GCSE Foundation

1.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

2.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

3.Write down the symbol that makes this statement true: 0.45 ___ 0.5

4.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

5.Work out 3 × (−2)² − 5

6.Work out √225 ÷ 3.

7.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

8.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

9.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

10.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

11.Work out the reciprocal of (2 + 3)

12.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

13.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

14.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.

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