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.Factorise fully 12x² + 18x.
- 2.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 3.The equation 3(2x − 1) = 4x + 9 is rearranged by expanding the brackets. Which of these is the correctly expanded equation?
- 4.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 5.y = 5 − 2x. Work out the value of x when y = 11.
- 6.Simplify 2b − 1 + 2b − 4 + 2b
- 7.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 8.Harry will spend at most £150 on a party. The cake costs £60 and each helium balloon costs £3. Solve an inequality to find all the possible numbers of balloons, x, that he can buy.
- 9.Work out the gradient of the straight line with equation 2x + y = 8.
- 10.Work out the gradient of the straight line with equation y = (2x/5) − 3.
- 11.A sequence has the position-to-term rule: the term is the square of the position number. Its first four terms are 1, 4, 9, 16. Work out the 10th term.
- 12.The simultaneous equations y = 3 and 4x − y = 9 are given. Work out the value of x.
- 13.The triangular numbers begin 1, 3, 6, 10, 15, ... Work out the next term in the sequence.
- 14.A stack of firewood has 3 logs in the top layer. Each layer below has 4 more logs than the layer above it. Work out the number of logs in the 6th layer from the top.
- 15.A geometric sequence starts at 3, and each term after that is found by multiplying the term before it by 2. Write down the first four terms.
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