Number worksheet — GCSE Foundation

1.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

2.Work out the value of √49 + ∛27

3.Work out √49

4.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.

5.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

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

7.Which of these numbers lies between −4 and −1 on a number line?

8.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

9.Write down the symbol that makes this statement true: −9 ___ −4

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

11.Work out 4π + 2π, giving your answer as a multiple of π.

12.Work out ⁴√16

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

14.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

15.In the number 3.472, work out the value of the digit 7.