Number worksheet — GCSE Higher

1.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?

2.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

3.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

4.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

5.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

6.Simplify ⁴√(16a⁸b¹²)

7.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

9.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

10.Write down the reciprocal of 0.2

11.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

12.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

13.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.

14.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

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