Number worksheet — GCSE Foundation

1.Write the fraction 3/4 as a decimal.

2.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

3.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

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

5.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

6.Work out the value of 5³.

7.Work out the lowest common multiple of 4 and 6.

8.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

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

10.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

11.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

12.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

13.Write 260,000 in standard form.

14.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

15.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.