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.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 2.Which of these points lies in the first quadrant?
- 3.A quadratic curve has a root at x = −2 and its turning point has x-coordinate 3. Work out the curve's other root, using the symmetry of the graph.
- 4.A geometric sequence starts at 3, and each term after that is found by multiplying the term before it by 2. Write down the first four terms.
- 5.Expand 4(2x − 3).
- 6.Solve the simultaneous equations 4x + 3y = 25 and 4x − y = 1. Work out the value of y.
- 7.Work out the y-intercept of the graph of y = x² + 3x − 10.y = x² + 3x − 10
- 8.A cinema sells adult tickets and child tickets. On one evening, 40 tickets are sold in total. There are 8 more adult tickets sold than child tickets. Work out the number of child tickets sold.
- 9.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?
- 10.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 11.Simplify 5a/6 − a/3
- 12.Work out the value of 3b − 4 when b = 6
- 13.A graph has equation y = 3x + 2. Which word or phrase best describes its shape?y = 3x + 2
- 14.Solve the inequality x + 5 < 12.
- 15.Write down the first four terms of the sequence with nth term 6n − 5.
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