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.
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Algebra worksheet — GCSE Foundation
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- 1.Write down the expression that means the same as m² × m × 3.
- 2.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.
- 3.Work out the value of a² − 2b when a = −3 and b = 4.
- 4.Write down the expression that means the same as (x + 7) ÷ 4.
- 5.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 6.A scout leader is 44 years old and one of the scouts is 16 years old. Work out how many years it will be until the leader is exactly twice as old as the scout.
- 7.Work out the coordinates of the point where the graph of y = 2x − 6 crosses the x-axis.y = 2x − 6
- 8.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.
- 9.A car passes the 15 km marker on a road and passes the 195 km marker 3 hours later. Work out the gradient of the distance-time graph, that is the rate of change of distance with time.
- 10.Which of these statements is an identity?
- 11.Which of these is a factor of 15x + 20?
- 12.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 13.Work out the value of m² + 3m when m = −2
- 14.A sequence has the position-to-term rule n² − 3, where n is the position number. Work out the difference between the 6th term and the 5th term.
- 15.Solve x − 4 = −9
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