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 first five terms of a sequence are 2, 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 2.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.
- 3.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 4.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 5.Work out the gradient of the straight line with equation 3y = 12 − 6x.
- 6.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 7.A pizza shop charges a fixed delivery fee of £3, plus £9 for each pizza ordered. Write down the function for the total cost y, in pounds, of ordering x pizzas.
- 8.A tree is 2 metres tall. Each year its height increases by 10% of its height at the start of that year. Work out the height of the tree after 3 years, giving your answer to 1 decimal place.
- 9.Solve x² = 81.
- 10.Work out the equation of the straight line through the points (−2, 1) and (0, 7).
- 11.Make m the subject of the formula w = m − 8.
- 12.Amelia is buying books. Each book costs £5 and she has at most £30 to spend. Write down an inequality for x, the number of books she can buy.
- 13.Which of these statements is an equation with exactly one solution?
- 14.Make b the subject of the formula a = 5b.
- 15.The graph of y = x² − 2x − 8 takes these values: when x = −2, y = 0; when x = −1, y = −5; when x = 0, y = −8; when x = 3, y = −5; when x = 4, y = 0. Use these values to write down the two solutions of x² − 2x − 8 = 0.y = x² − 2x − 8
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