Number worksheet — GCSE Higher

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

2.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

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

4.Work out −4.5 + 2.8.

5.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.

6.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

7.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

8.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

9.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

10.Round 592.5 to the nearest 10.

11.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.

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.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.

14.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

15.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.