Number worksheet — GCSE Foundation

1.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

2.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?

3.Write these numbers in order, starting with the smallest: 3, −1, 0, −5

4.Work out ⁴√16

5.Write the mixed number 2 1/4 as an improper fraction.

6.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

7.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

8.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

9.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

10.Work out the highest common factor of 15 and 25.

11.Work out (−2)³ + (−3)² − (−4)

12.Work out the value of ∛8.

13.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

14.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

15.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.