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 formula connecting distance (d), speed (s) and time (t) is d = st. Make s the subject of the formula.
- 2.Write down the expression that means the same as m × m × m × n.
- 3.Ethan is 10 years old and his father is 40 years old. Work out how many years ago Ethan's father was seven times as old as Ethan.
- 4.Simplify p + p + p.
- 5.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 6.A theatre's front row has 18 seats. Each row behind has 4 more seats than the row in front. Which row has exactly 62 seats?
- 7.Work out the value of 5m² + 3m when m = −2.4
- 8.Yusuf has £40 saved and adds £6 each week. His sister Aisha has £10 saved and adds £11 each week. After how many weeks will they have saved the same amount?
- 9.ABCD is a parallelogram. A has coordinates (−3, 1), B has coordinates (2, 1) and C has coordinates (4, 4). Work out the coordinates of D.
- 10.The diagram shows the graph of a function. Which equation could it represent?
- 11.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.
- 12.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 13.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.
- 14.n = 3. Work out the value of (2n)².
- 15.The graph of t = 240 ÷ s shows how the time, t hours, taken for a car journey of 240 miles depends on its average speed, s mph. Use the relationship to work out the time taken when the average speed is 48 mph.
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