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.
Non-calculator
Algebra worksheet — GCSE Foundation
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- 1.The graph of y = 24/x is drawn for x > 0. Work out the value of y when x = 6.
- 2.A currency conversion graph shows that £4 is equivalent to 5 US dollars. Use this to work out how many US dollars are equivalent to £24.
- 3.Simplify p + p + p.
- 4.Solve 2x + 7 = x + 13
- 5.A wall is tiled in rows, and every row uses the same number of tiles. One row uses 10 tiles, two rows use 20 tiles and three rows use 30 tiles. Work out how many tiles are needed for 7 rows.
- 6.Work out the equation of the straight line that passes through (−2, 3) and (4, −9).
- 7.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 8.A speed-time graph for a car shows the speed increasing steadily from 5 m/s to 17 m/s over 6 seconds. Work out the acceleration of the car, in m/s².
- 9.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 10.Work out the value of 2(x + 2) when x = −5
- 11.Factorise fully 12x² + 18x.
- 12.Which of these equations describes a vertical line?
- 13.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
- 14.A sequence begins at 7. Each term after the first is found by adding 6 to the term before it. Work out the 6th term of the sequence.
- 15.The diagram shows the graph of a quadratic function. Write down the values of x where the graph crosses the x-axis.
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