Number worksheet — GCSE Higher

1.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

2.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

3.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

4.Robert is converting 0.999... (with the 9s recurring forever) into a fraction. He lets x = 0.999... . Multiplying by 10 gives 10x = 9.999... . Subtracting x from 10x gives 9x = 9, so x = 1. Which statement correctly explains this result?

5.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

6.Work out ⁴√16

7.Work out −(−3)⁴ + (−3)³

8.Work out the value of 2⁻⁴

9.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

10.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.

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

12.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

13.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.

14.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?

15.Work out 3³ + 2⁴.