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.
Non-calculator
Algebra worksheet — GCSE Foundation
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- 1.Work out the value of 5a + 2 when a = 3
- 2.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 3.A colony of bacteria doubles in number every hour. At 9am there are 5 bacteria in the colony. Work out how many bacteria there will be at 12 noon.
- 4.Work out the value of 5y + 9 when y = 0
- 5.There are 50 adults on a coach to the Lake District. Every adult is either a man or a woman. There are 10 more men than women. Work out the number of men.
- 6.a = 2 and b = 5. Work out the value of a²b.
- 7.The graph of y = x² − 2x − 8 crosses the x-axis at x = −2 and x = 4. Work out the x-coordinate of the turning point of the curve, using the symmetry of the graph.y = x² − 2x − 8
- 8.A taxi firm charges a fixed fee of £3.50 plus £2.20 per mile. Work out the total cost of a journey of 6 miles.
- 9.Work out the value of m² + 3m when m = −2
- 10.Work out the value of 2(x + 2) when x = −5
- 11.Make c the subject of the formula k = 6c.
- 12.Make x the subject of the formula y = 3(x + 2).
- 13.The graph of y = mx + 6 passes through the point (−2, 0). Work out the value of m.
- 14.Which expression is equivalent to 3(x + 4) − 2(x − 1)?
- 15.A straight line has equation 4y = 12x + 20. Work out the gradient of the line.y = 12x + 20
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