Number worksheet — GCSE Foundation

1.Which of these is written correctly in standard form?

2.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

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

4.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

5.After a price increase of 10%, a laptop costs £330. Work out the original price.

6.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

7.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

8.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

9.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.

10.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

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

12.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

13.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

14.Round 0.006482 to 2 significant figures.

15.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.