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.Write down the gradient of the line with equation y = 6 + 4x.
- 2.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.
- 3.A taxi fare, in pounds, for a journey of m miles is given by the formula F = 3 + 2.5m. A journey costs £15.50. Work out the distance travelled, m, by first rearranging the formula to make m the subject, then substituting F = 15.50.
- 4.Work out the value of 2(x + 2) when x = −5
- 5.A sequence begins at 60, and each term after that is found by subtracting 7 from the term before it. Work out the 5th term of the sequence.
- 6.A straight line has gradient 3 and passes through the point (1, 4). Work out the equation of the line.
- 7.Work out the value of n² − n when n = −3
- 8.Solve (2x + 1)/3 = 5
- 9.Make x the subject of the formula y = 4(x − 6).
- 10.Write down the number of terms in the expression 4x² − 7x + 3.
- 11.The graph of y = x² − 2x − 8 crosses the x-axis at x = −2 and x = 4. Work out the x-coordinate of the turning point of the curve, using the symmetry of the graph.y = x² − 2x − 8
- 12.Priya has a budget of £50 for a school trip. The coach costs £14 and each student ticket costs £4. Using the inequality 14 + 4s ≤ 50, work out the greatest number of student tickets, s, she can buy.
- 13.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?
- 14.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 15.Work out the value of 3a − 2b when a = 5 and b = 4
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