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 nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 2.A tank already contains some water and is then filled at a constant rate. After 2 minutes it contains 50 litres in total; after 7 minutes it contains 150 litres in total. Work out the rate at which water is added, in litres per minute.
- 3.Work out the gradient of the straight line with equation 3y = 12 − 6x.
- 4.The first four terms of a sequence are 6, 13, 20, 27. Work out an expression, in terms of n, for the nth term.
- 5.a = 3 and b = 5. Work out the value of a²b.
- 6.Write down the expression that means 5 more than half of n.
- 7.Which of these is a term, rather than a whole expression, an equation, or a formula?
- 8.Solve 4x − (2x − 6) = 18
- 9.The simultaneous equations y = 3 and 4x − y = 9 are given. Work out the value of x.
- 10.Work out the value of 5m² + 3m when m = −2.4
- 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.A statement contains an equals sign and one unknown letter, and it is only true for particular value(s) of that letter. What is this type of statement called?
- 13.Make x the subject of the formula y = 4x − 3.y = 4x − 3
- 14.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?
- 15.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.
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