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 rectangle has area 24x + 18. Ffion factorises the area as 6(4x + 3). Work out the value of the area when x = 2, and decide whether 6 and (4x + 3) are correctly identified as factors of 24x + 18.
- 2.A geometric sequence starts at 4, and each term after that is found by multiplying the term before it by 3. Write down the first four terms of the sequence.
- 3.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 4.Solve x² + 7x = 0.
- 5.Matchsticks are laid out as a row of squares, with each new square sharing a side with the square before it. The first square uses 4 matchsticks and every extra square uses 3 more. Work out how many matchsticks a row of 4 squares uses.
- 6.The solution to an inequality is n ≤ 5. Write down the largest integer value of n that satisfies this inequality.
- 7.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 8.Solve (2x + 1)/3 = 5
- 9.A taxi company charges a £2.50 booking fee plus £1.80 per mile. A journey costs £15.10 in total. Work out the number of miles travelled.
- 10.Which expression is equivalent to 7x − 3(2x − 6)?
- 11.Solve the simultaneous equations 5x − 2y = 16 and 3x + 2y = 16. Work out the value of x.
- 12.A vertical line passes through the point (4, 7). Write down the equation of this line.
- 13.p = 4. Work out the value of 2p³.
- 14.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?
- 15.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
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