Algebra worksheet — GCSE Foundation

1.Write down the expression that means the same as m × m × m × n.

2.Which expression means the same as a × a × a?

3.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.

4.A ball is dropped and bounces. The height of each bounce after the first is 8 cm less than the bounce before it. The first bounce reaches 60 cm. Work out the height of the 5th bounce.

5.Solve x² − 5x + 6 = 0 by factorising.

6.Expand 4(2x − 3).

7.Noah says that y = 3 is the solution of the equation y + 10 = 12. Noah is wrong. Work out the correct value of y.

8.Which expression is equivalent to 3(x + 4) − 2(x − 1)?

9.Solve 2x² − 32 = 0.

10.Solve 2(x + 3) = 10

11.Which of these is a term, rather than a whole expression, an equation, or a formula?

12.There are 30 students in a Year 10 maths class. There are 2 more boys than girls. Work out the number of boys and the number of girls.

13.A cyclist's journey is shown on a distance–time graph. The graph is a straight line from (0 minutes, 0 km) to (40 minutes, 12 km). Work out her speed in kilometres per hour.

14.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.

15.A phone company works out a monthly bill, £B, using the formula B = 18 + 0.05t, where £18 is the fixed monthly charge and t is the number of extra text messages sent beyond the free allowance, each charged at 5p. Farida's bill for one month is £24.50. Work out the number of extra text messages, t, she sent.