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.Line C passes through (0, 0) and (4, 2). Line D passes through (0, 0) and (2, 2). Write down which of the two lines is the steeper.
- 2.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 3.The diagram shows the graph of a function. Which equation could it represent?
- 4.A water tank empties according to y = −5x + 200, where y is the number of litres left after x minutes. Work out the coordinates of the point where this graph crosses the x-axis.y = -5x + 200
- 5.Solve 6x − 5 = 3x + 13.
- 6.Which expression means the same as a × a × a?
- 7.A plumber charges a call-out fee plus an hourly rate. The total cost, y in pounds, of a job lasting x hours is given by y = 45x + 60. Work out the total cost of a job that lasts 3 hours.y = 45x + 60
- 8.Which expression is equivalent to 2(x + 6)?
- 9.Which of these is an identity?
- 10.Meera writes the statement 3(x + 4) = 3x + 12. Which of these correctly describes what she has written, with a reason?
- 11.Work out the value of 3n − 2 when n = 1
- 12.A lift has a weight limit: it must carry no more than 630 kg. Let w be the total weight, in kg, carried by the lift. Which inequality describes this?
- 13.x = 5. Work out the value of 3x² − 4.
- 14.The cost, in pounds, of hiring a van for d days is given by the formula C = 25 + 18d. A customer's hire cost £133. Work out how many days, d, they hired the van for, by first rearranging the formula to make d the subject.
- 15.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.
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