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.
Non-calculator
Algebra worksheet — GCSE Foundation
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- 1.In which quadrant does the point (−3, 0.5) lie?
- 2.Work out the value of 3b − 4 when b = 6
- 3.A rule turns each input x into an output y. The inputs are x = −1, 0, 1, 2 and the matching outputs are y = 5, 3, 1, −1. Work out the rule.
- 4.A quadratic curve has a root at x = −2 and its turning point has x-coordinate 3. Work out the curve's other root, using the symmetry of the graph.
- 5.A sequence begins at 7. Each term after the first is found by adding 6 to the term before it. Work out the 6th term of the sequence.
- 6.The formula for the volume of a cuboid is V = lwh, where l is the length, w is the width and h is the height. Make h the subject of the formula.
- 7.A number machine adds 1 to its input. Isla says that an input of 5 gives an output of 6. Which statement is correct?
- 8.A number machine multiplies its input by 2 and then subtracts 5. Work out the output when the input is 6.
- 9.Which expression is equivalent to 3(x + 4) − 2(x − 1)?
- 10.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 11.Which expression is equivalent to 3(2x − 5) + 4x?
- 12.Isla says that the lines y = 2x + 1 and y = −2x + 3 are parallel. Write down the statement that gives the correct answer for the correct reason.y = 2x + 1y = -2x + 3
- 13.Which of these equations gives a straight-line graph when plotted?
- 14.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
- 15.The point A is at (5, −3). In which quadrant does A lie?
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