Number worksheet — GCSE Higher

1.Round 592.5 to the nearest 10.

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

3.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

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

5.Write down the exact decimal value of the fraction 1/6.

6.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

7.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

8.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

9.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

10.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

11.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

12.Work out 4368 ÷ 12.

13.Round 0.006852 to 2 significant figures.

14.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

15.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.