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.Factorise x² − 3x − 10.
- 2.The first five terms of a sequence are 6, 10, 14, 18, 22. Work out an expression, in terms of n, for the nth term.
- 3.Which expression is equivalent to 7x − 3(2x − 6)?
- 4.Oliver has m stickers and gives 5 of them away. The number he has left is L = m − 5. Work out L when m = 8.
- 5.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 6.A cafe sells coffees at £c each and pastries at £p each. Three coffees and two pastries cost £9.60. Two coffees and two pastries cost £7.60. Work out the price of one coffee.
- 7.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 8.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 9.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
- 10.The area of a circle is given by the formula A = πr², where r is the radius. Rearrange the formula to make r the subject.
- 11.Simplify k + k + k + k + k.
- 12.Which of these is an inequality?
- 13.Expand 2(x + 12)
- 14.A rectangle has width x cm. Its length is 3 cm more than its width. The perimeter of the rectangle is 38 cm. Form an equation and solve it to find x.
- 15.A number machine adds 5 to its input. Work out the output when the input is 0.
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