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.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 2.Work out the equation of the straight line through the points (−3, 4) and (1, −8).
- 3.Which of these numbers is a cube number?
- 4.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.
- 5.A sequence has the position-to-term rule: the term is the position number multiplied by itself. Its first five terms are 1, 4, 9, 16, 25. Work out the 8th term.
- 6.A theatre's front row has 18 seats. Each row behind has 4 more seats than the row in front. Which row has exactly 62 seats?
- 7.Solve 2(x + 3) = 10
- 8.Ethan is 10 years old and his father is 40 years old. Work out how many years ago Ethan's father was seven times as old as Ethan.
- 9.Solve 6x + 4 = 28
- 10.The first four terms of a sequence are 4, 6, 8, 10. Work out an expression, in terms of n, for the nth term.
- 11.Expand 2(x + 12)
- 12.Work out the coordinates of the point where the graph of y = 2x − 6 crosses the x-axis.y = 2x − 6
- 13.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.
- 14.Solve x² + 3x − 10 = 0.
- 15.The first five terms of a quadratic sequence are 5, 8, 13, 20, 29. Work out the next term in the sequence.
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