Number worksheet — GCSE Higher

1.Work out √225 ÷ 3.

2.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.

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

4.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

5.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

6.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

7.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.

8.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

9.Work out the value of √(16 + 9)

10.Work out the value of (√5)⁴

11.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

12.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

13.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

14.Round 0.006852 to 2 significant figures.

15.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.