Number worksheet — GCSE Higher

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

2.Write 0.35 as a fraction in its lowest terms.

3.Which statement about the number 91 is correct?

4.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.

5.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

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

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

8.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

9.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

10.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

11.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

12.Write 200 as a product of its prime factors, using index notation.

13.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

14.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.

15.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.