Number worksheet — GCSE Higher

1.Write ∛(x²) as a single power of x.

2.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

4.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

5.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

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

7.Write 7/12 as a decimal, showing clearly which digit is recurring.

8.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

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

10.Work out (−2)² − 3

11.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

12.Work out the reciprocal of (2 + 3)

13.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.

14.Write 0.36 as a fraction in its simplest form.

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