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 first five terms of a quadratic sequence are 5, 8, 13, 20, 29. Work out the next term in the sequence.
- 2.Solve the inequality x − 10 < −3.
- 3.Solve 3(2x − 1) = 27
- 4.A Fibonacci-type sequence begins 3, 5, 8, 13, ... where each term after the second is the sum of the two terms before it. Work out the 7th term of the sequence.
- 5.A plumber charges a call-out fee of £30 plus £25 for each hour worked. The total bill for a job was £130. Work out how many hours the plumber worked.
- 6.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 7.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.
- 8.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 9.Amelia's mother is three times as old as Amelia. Four years ago her mother was five times as old as Amelia was then. Work out Amelia's age now.
- 10.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 11.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 12.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 13.Expand 7(a + 8)
- 14.A company's profit was £2000 in its first year. Each following year, the profit increases by £800. Work out the first year in which the profit is more than £7000.
- 15.Grace says that 2(x + 1) and 2x + 2 always have the same value. Work out the value of both expressions when x = 3.
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