Number worksheet — GCSE Higher

1.Work out 3 + 4 × (−2).

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

3.Which one of these statements is true?

4.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

5.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

6.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

7.A rectangular garden has a length of 12.4 m and a width of 7.5 m, each measured correct to 1 decimal place. Calculate the upper bound for the area of the garden.

8.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

9.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

10.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

11.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.

12.2/3 of an amount of money is £30. Work out the amount.

13.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

14.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

15.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.