Number worksheet — GCSE Higher

1.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

2.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

3.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

4.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.

5.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

6.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

7.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

8.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

9.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

10.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.

11.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

12.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

13.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

14.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

15.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.