Number worksheet — GCSE Foundation

1.Write down the reciprocal of 0.2

2.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

3.Work out the value of 6² − 4³.

4.Write 0.005 in standard form.

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

6.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

7.Which of these statements about −0.7 and −0.25 is true?

8.Write the fraction 9/25 as a decimal.

9.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

10.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.

11.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

12.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

13.Write down the symbol that makes this statement true: −2/3 ___ −5/6

14.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

15.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.