Number worksheet — GCSE Higher

1.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.

2.Work out the value of (√5)⁴

3.4ˣ = 64. Work out the value of x.

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

5.Work out the value of (1/3)⁻²

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

7.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

8.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.

9.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

10.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

11.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

12.Rationalise the denominator of 6/√3, giving your answer in its simplest form.

13.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

14.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.

15.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.