Number worksheet — GCSE Higher

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

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

3.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

4.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.

5.√700 lies between which two consecutive integers?

6.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

7.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

8.A car travels 100 km, correct to the nearest km, in a time of 2 hours, correct to the nearest 0.1 hour. Work out the average speed, in km/h, to the greatest degree of accuracy the bounds can guarantee.

9.Round 0.006482 to 2 significant figures.

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

11.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

12.Which statement about the number 91 is correct?

13.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

14.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.

15.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.