Number worksheet — GCSE Higher

1.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

2.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

3.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

4.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

5.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.

6.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

7.Work out ∛(−27) + ∛8

8.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

9.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

10.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

11.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

12.Work out −(−3)⁴ + (−3)³

13.Work out (2/3)² + (1/2)². Give your answer as a fraction.

14.√700 lies between which two consecutive integers?

15.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.