Number worksheet — GCSE Foundation

1.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

2.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

3.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

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

5.Which of these numbers lies between −8 and −5 on a number line?

6.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

7.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

8.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

9.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

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

11.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

12.Write down the symbol that makes this statement true: 0.45 ___ 0.5

13.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

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

15.Write the fraction 47/50 as a decimal.