Number worksheet — GCSE Higher

1.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

2.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.

3.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

4.Write 0.06 as a fraction in its simplest form.

5.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.

6.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

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

8.Round 0.006852 to 2 significant figures.

9.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

10.Simplify x⁶ ÷ x²

11.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

12.After a price increase of 10%, a laptop costs £330. Work out the original price.

13.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

14.Simplify (y³)⁴, giving your answer as a single power of y.

15.A set of kitchen scales displays the mass of a bag of sugar as 0.63 recurring kilograms, meaning 0.636363... kg with the block '63' repeating forever. Convert this mass to a fraction of a kilogram, then work out the mass in grams, giving your answer to the nearest gram.