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.A number, n, is tripled and then 4.5 is added. The result is 22.5. Form an equation and solve it to find n.
- 2.Solve 3x + 14 = 8x − 6
- 3.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.
- 4.A rule turns each input x into an output y. The inputs are x = 1, 2, 3, 4 and the matching outputs are y = −5, −3, −1 and one missing value. Work out the missing value of y.
- 5.Which expression is equivalent to 0.5(4x + 6) − x?
- 6.Write down the expression that means the same as m² × m × 3.
- 7.x = 5. Work out the value of 3x² − 4.
- 8.ABCD is a parallelogram. A has coordinates (−3, 1), B has coordinates (2, 1) and C has coordinates (4, 4). Work out the coordinates of D.
- 9.Three consecutive integers add up to 72. Using n for the smallest integer, form an equation and solve it to find the smallest of the three integers.
- 10.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 11.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 12.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.
- 13.A ball's height, h metres, t seconds after being thrown follows h = (t − 1)(9 − t). Given that the ball is at ground level at t = 1 and t = 9, work out at what time t the ball reaches its maximum height, using symmetry.
- 14.Make x the subject of the formula y = 4(x − 6).
- 15.Work out the value of 3a − 2b when a = 5 and b = 4
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