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
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- 1.A conversion graph shows that 5 miles is equivalent to 8 kilometres. Use this to work out how many kilometres are equivalent to 20 miles.
- 2.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 3.Solve 3x − 1 = 8
- 4.Three vertices of a rectangle are (−4, −1), (2, −1) and (2, 3). The sides of the rectangle are parallel to the axes. Write down the coordinates of the fourth vertex.
- 5.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 6.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
- 7.The volume of a cuboid is given by the formula V = lwh. Work out V, in cm³, when l = 2, w = 3 and h = 6.
- 8.The point A lies on the x-axis. Which statement about A must be true?
- 9.Solve 6x − 5 = 3x + 13.
- 10.The first four terms of a sequence are 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 11.Work out the gradient of the straight line with equation 2x + y = 8.
- 12.Simplify 2b − 1 + 2b − 4 + 2b
- 13.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 14.Make x the subject of the formula y = 3(x + 2).
- 15.A number machine adds 1 to its input. Isla says that an input of 5 gives an output of 6. Which statement is correct?
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