Number worksheet — GCSE Higher

1.2/3 of an amount of money is £30. Work out the amount.

2.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

3.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

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

5.Work out 5⁰ + 5¹ + 5²

6.Find the missing number: ▢ ÷ 15 = 24

7.Which of these is written correctly in standard form?

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

10.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

11.Work out the value of √(16 + 9)

12.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

13.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.

14.Which one of these statements is true?

15.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.