Number worksheet — GCSE Higher

1.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

2.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

3.Write down the symbol that makes this statement true: −2/3 ___ −5/6

4.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.

5.Write 0.325 as a fraction in its simplest form.

6.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

7.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.

8.Work out (−3) × 4 + 2 × (−5)

9.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

10.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.

11.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

12.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

13.Work out 3 + 4 × (−2).

14.Work out the value of 2⁻⁴

15.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.