Number worksheet — GCSE Foundation

1.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

2.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

3.Work out the value of 6² − 4³.

4.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.

5.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

6.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

7.Write down the symbol that makes this statement true: 3/10 ___ 0.3

8.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

9.Write down the decimal that is equal to 3/5.

10.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

11.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.

12.Work out how many factors 36 has.

13.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

14.Write down the fraction, in its simplest form, that is equal to 0.6

15.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.