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 height, h metres, of a ball t seconds after a stopwatch is started follows h = (t − 1)(5 − t) for 1 ≤ t ≤ 5, where h = 0 means the ball is at ground level. Work out the two times at which the ball is at ground level.
- 2.Yusuf has £40 saved and adds £6 each week. His sister Aisha has £10 saved and adds £11 each week. After how many weeks will they have saved the same amount?
- 3.A taxi fare in pounds is given by F = 2.50 + 1.20m, where m is the number of miles travelled. Sam takes a taxi for a journey of 6 miles. Work out the fare.
- 4.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 5.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 6.The simultaneous equations x = 2 and x + y = 9 are given. Work out the value of y.
- 7.A geometric sequence begins 162, 54, 18, 6, ... Work out the next term in the sequence.
- 8.Write down the coefficient of p in the expression 7 − 4p + 9q.
- 9.The formula connecting speed, distance and time is v = s ÷ t. Work out v, in km/h, when s = 180 and t = 4.
- 10.The first five terms of a quadratic sequence are 2, 5, 10, 17, 26. Work out the next term in the sequence.
- 11.A speed-time graph for a car shows the speed increasing steadily from 5 m/s to 17 m/s over 6 seconds. Work out the acceleration of the car, in m/s².
- 12.Write down the expression that means the same as 3 × y × y.
- 13.x = 5. Work out the value of 3x² − 4.
- 14.Expand and simplify 2(a + 6) − 2(a − 7)
- 15.Solve x² − 6x = 0.
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