Number worksheet — GCSE Higher

1.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

2.Round 592.5 to the nearest 10.

3.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.

4.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

5.Write 5/6 as a decimal, showing clearly which digit recurs.

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.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

8.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.

9.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

10.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

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

12.Work out (−2)³ + (−3)² − (−4)

13.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.

14.Expand and simplify √3(2 + √12).

15.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.