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 graph of t = 240 ÷ s shows how the time, t hours, taken for a car journey of 240 miles depends on its average speed, s mph. Use the relationship to work out the time taken when the average speed is 48 mph.
- 2.Work out the equation of the straight line through the points (−2, 1) and (0, 7).
- 3.Solve x² + 3x − 10 = 0.
- 4.Write down the first four terms of the sequence with nth term 6n − 5.
- 5.Which of these equations gives a graph with two separate curved branches — one where x and y are both positive, and one where x and y are both negative?
- 6.Which of these statements is an equation with exactly one solution?
- 7.To rearrange y = 2x − 5 to make x the subject, Sam writes: 'Add 5 to both sides to get y + 5 = 2x, then divide both sides by 2 to get x = (y + 5)/2.' Which statement about Sam's method is correct?y = 2x − 5
- 8.Work out the value of a² − 2b when a = −3 and b = 4.
- 9.Work out the value of n² − n when n = −3
- 10.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 11.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 12.Make b the subject of the formula a = 5b.
- 13.A packet contains s sweets. The sweets are shared equally between f friends. Write an expression for the number of sweets each friend receives.
- 14.A ball is dropped and bounces. The height of each bounce after the first is 8 cm less than the bounce before it. The first bounce reaches 60 cm. Work out the height of the 5th bounce.
- 15.a = 3 and b = 5. Work out the value of a²b.
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