Number worksheet — GCSE Foundation

1.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

2.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

3.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.

4.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

5.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

6.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

7.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

8.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.

9.Write '3.2 million' as a number in figures.

10.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.

11.Which of these numbers is the largest: −9, −7, −4, −2?

12.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

13.Work out (−3) × 4 + 10

14.Work out 3π − π, giving your answer as a multiple of π.

15.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.