Number worksheet — GCSE Higher

1.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

2.Round 592.5 to the nearest 10.

3.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

4.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

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

6.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

7.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

8.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

9.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

10.Work out the value of 2⁻²

11.Which one of these statements is true?

12.√700 lies between which two consecutive integers?

13.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

14.Work out 3³ + 2⁴.

15.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.