Number worksheet — GCSE Higher

1.√700 lies between which two consecutive integers?

2.Write 0.325 as a fraction in its simplest form.

3.Write 5/6 as a decimal, showing clearly which digit recurs.

4.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.

5.A set of kitchen scales displays the mass of a bag of sugar as 0.63 recurring kilograms, meaning 0.636363... kg with the block '63' repeating forever. Convert this mass to a fraction of a kilogram, then work out the mass in grams, giving your answer to the nearest gram.

6.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.

7.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

8.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.

9.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

10.Simplify (x⁻²)³, giving your answer as a fraction.

11.Round 0.006852 to 2 significant figures.

12.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.

13.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

14.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

15.Work out ∛64.