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 sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 2.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 3.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.
- 4.A phone plan costs a fixed £15 per month plus 8p per minute of calls. In one month, Jamal's bill was £23.80. Form an equation using m for the number of minutes, and solve it to find how many minutes Jamal used that month.
- 5.Which of these equations gives a straight-line graph when plotted?
- 6.The triangular numbers begin 1, 3, 6, 10, 15, ... Work out the next term in the sequence.
- 7.Line C passes through (0, 0) and (4, 2). Line D passes through (0, 0) and (2, 2). Write down which of the two lines is the steeper.
- 8.Make b the subject of the formula a = 5b.
- 9.Which expression is equivalent to 3(x + 4) − 2(x − 1)?
- 10.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 11.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.
- 12.Solve 2x + 1 = 9
- 13.Which expression is equivalent to 0.5(4x + 6) − x?
- 14.The expression 6n + 15 is written as 3(2n + 5). Which statement is correct?
- 15.A rectangle has length k cm and width 5 cm less than its length. Write down an expression for the width of the rectangle, in cm.
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