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.Write down the expression that means 5 more than half of n.
- 2.A rule turns each input into an output. An input of 0 gives an output of −1, an input of 1 gives an output of 1, and an input of 2 gives an output of 3. Work out the rule, writing the input as x and the output as y.
- 3.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.
- 4.Isla says that the lines y = 2x + 1 and y = −2x + 3 are parallel. Write down the statement that gives the correct answer for the correct reason.y = 2x + 1y = -2x + 3
- 5.y = 5x − 1. Work out the value of y when x = 3.y = 5x − 1
- 6.Solve x² − 2x − 24 = 0.
- 7.Solve 3x − 1 = 8
- 8.Make m the subject of the formula w = m − 8.
- 9.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 10.p = 4. Work out the value of 2p³.
- 11.A number, w, satisfies the statement "three times w, minus 5, is at least 16". Which of these is the correct inequality for w?
- 12.Which of these statements is an identity?
- 13.The point A is at (5, −3). In which quadrant does A lie?
- 14.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.
- 15.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
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