Printable · GCSE Foundation · ages 14-16
Algebra worksheet — GCSE Foundation
Fifteen questions across the algebra statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Algebra worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.The first four terms of a sequence are 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 2.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 3.A water tank empties according to y = −5x + 200, where y is the number of litres left after x minutes. Work out the coordinates of the point where this graph crosses the x-axis.y = -5x + 200
- 4.The first five terms of a sequence are 2, 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 5.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 6.Solve the simultaneous equations x + y = 1 and 2x + y = 5.
- 7.Solve (2x + 1)/3 = 5
- 8.Solve 2x + 1 = 9
- 9.The first four terms of a sequence are 4, 9, 14, 19. Work out an expression, in terms of n, for the nth term.
- 10.A cycle route is 84 km long. Freya sets off along it at a steady 14 km/h. Write down the function for the distance y, in kilometres, that is still to be cycled after x hours.
- 11.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 12.An arithmetic sequence has first term 40 and common difference −6. Work out the 9th term of the sequence.
- 13.To solve 5x − 4 = 2x + 8, Chloe's working is shown. Line 1: 5x − 4 = 2x + 8. Line 2: 3x − 4 = 8. Line 3: 3x = 4. Line 4: x = 4/3. Chloe has made a mistake in her working. Which line contains the mistake?
- 14.y = x + 4. Work out the value of y when x = 3.y = x + 4
- 15.Solve the inequality x + 5 < 12.
Build your own mix at the worksheet builder.