Number worksheet — GCSE Foundation

1.Work out 35% of 180.

2.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

3.Write 0.875 as a fraction in its simplest form.

4.Work out 2 × (−3 + 7)

5.Which of these is equal to 5³?

6.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

7.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?

8.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

9.Simplify x⁶ ÷ x²

10.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

11.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

12.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

13.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

14.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

15.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.