Number worksheet — GCSE Foundation

1.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

2.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

3.Write down the value of 3⁰

4.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

5.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.

6.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

7.Write down the decimal that is equal to 3/5.

8.Work out the value of ∛8.

9.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

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 bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

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

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

14.Work out 2⁵.

15.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?