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.
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Algebra worksheet — GCSE Foundation
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- 1.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 2.Four sequences are shown below. Sequence P: 4, 8, 16, 32, ... Sequence Q: 4, 8, 12, 16, ... Sequence R: 4, 7, 12, 19, ... Sequence S: 4, 9, 16, 25, ... Work out which of the sequences P, Q, R and S is geometric.
- 3.Factorise fully 56x − 24
- 4.Solve x² = 81.
- 5.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
- 6.How many turning points does the graph of y = x² − 7x + 10 have?y = x² − 7x + 10
- 7.A straight line has gradient 3 and passes through the point (1, 4). Work out the equation of the line.
- 8.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 9.Expand 7(a + 8)
- 10.Harry will spend at most £150 on a party. The cake costs £60 and each helium balloon costs £3. Solve an inequality to find all the possible numbers of balloons, x, that he can buy.
- 11.A number machine adds 1 to its input. Isla says that an input of 5 gives an output of 6. Which statement is correct?
- 12.n = 3. Work out the value of (2n)².
- 13.Solve 5x² − 15x = 0.
- 14.Work out the gradient of the straight line with equation y = (2x/5) − 3.
- 15.Which expression is equivalent to 2(x + 6)?
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