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.Solve 5x² − 15x = 0.
- 2.The graph of y = mx + 6 passes through the point (−2, 0). Work out the value of m.
- 3.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 4.Work out the gradient of the straight line with equation 3y = 12 − 6x.
- 5.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 6.A quadratic curve has a minimum turning point at (3, −4). Which of these statements about the curve must be true?
- 7.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 8.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.
- 9.y = 5x − 1. Work out the value of y when x = 3.y = 5x − 1
- 10.Solve the inequality x − 10 < −3.
- 11.Which of these equations is true for every value of x, making it an identity rather than an equation with just one solution?
- 12.There are 30 students in a Year 10 maths class. There are 2 more boys than girls. Work out the number of boys and the number of girls.
- 13.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 14.y = 5 − 2x. Work out the value of x when y = 11.
- 15.Three consecutive integers add up to 72. Using n for the smallest integer, form an equation and solve it to find the smallest of the three integers.
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