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.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.
- 2.The nth term of a sequence is 4n + 2. A term in the sequence has value 30. Work out its position, n, in the sequence.
- 3.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 4.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 5.Factorise fully 12x² + 18x.
- 6.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 7.Expand 7(a + 8)
- 8.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 9.The first four terms of a sequence are 4, 9, 14, 19. Work out an expression, in terms of n, for the nth term.
- 10.A straight line has equation y = 2x − 7. Write down the coordinates of the point where the line crosses the y-axis.y = 2x − 7
- 11.The diagram shows part of the graph of a reciprocal function of the form , passing through the labelled point. Work out the value of k.
- 12.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.
- 13.Which of these statements is an identity?
- 14.Solve 4x² − 9 = 0.
- 15.Solve 6x + 4 = 28
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