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 coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 2.A rectangular garden has length (x + 7) m and width (x − 7) m. Work out an expression for the area of the garden, giving your answer in its simplest form.
- 3.Simplify k + k + k + k + k.
- 4.Expand 2(x − 13)
- 5.Four sequences are shown below. Sequence P: 4, 8, 16, 32, ... Sequence Q: 4, 8, 12, 16, ... Sequence R: 4, 7, 12, 19, ... Sequence S: 4, 9, 16, 25, ... Work out which of the sequences P, Q, R and S is geometric.
- 6.Simplify 2a + 3b − a + 2b − b
- 7.The first four terms of a sequence are 6, 13, 20, 27. Work out an expression, in terms of n, for the nth term.
- 8.Write down the coordinates of the point where the line y = 2x + 4 crosses the y-axis.y = 2x + 4
- 9.Factorise x² − 64.
- 10.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.
- 11.A gym charges a joining fee plus a monthly fee. Anna paid £100 in total after 3 months of membership. Ben paid £160 in total after 6 months of membership (same joining fee and monthly fee as Anna). Work out the monthly fee.
- 12.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 13.Solve 5x + 2 = 17.
- 14.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 15.A taxi charges a fixed fee of £3 plus £2 for every mile travelled. The journey is m miles. Write down an expression for the total cost, in pounds.
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