Number worksheet — GCSE Higher

1.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

2.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.

3.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

4.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

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

6.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

7.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.

8.Simplify ⁴√(16a⁸b¹²)

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

10.Work out ∛64.

11.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

12.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

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

14.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

15.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.