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
MathsUKwww.geekhero.co.uk
- 1.A taxi fare in pounds is given by F = 2.50 + 1.20m, where m is the number of miles travelled. Sam takes a taxi for a journey of 6 miles. Work out the fare.
- 2.Which of these numbers is a cube number?
- 3.A sequence begins at 60, and each term after that is found by subtracting 7 from the term before it. Work out the 5th term of the sequence.
- 4.A table of values is being drawn for the graph of y = x³. Work out the value of y when x = −2.y = x
- 5.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 6.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 7.Which of these equations describes a vertical line?
- 8.A table shows y = x² − 6x + 5 at these points (x, y): (0, 5), (1, 0), (2, −3), (3, −4), (4, −3), (5, 0), (6, 5). Using the symmetry shown, write down the x-coordinate of the turning point.y = x² − 6x + 5
- 9.The graph of y = x² − 2x − 8 crosses the x-axis at x = −2 and x = 4. Work out the x-coordinate of the turning point of the curve, using the symmetry of the graph.y = x² − 2x − 8
- 10.A straight line has equation 4y = 12x + 20. Work out the gradient of the line.y = 12x + 20
- 11.The first four terms of a sequence are 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 12.a = 3 and b = 5. Work out the value of a²b.
- 13.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 14.Which of these is an identity?
- 15.A quadratic graph has roots at x = −3 and x = 5, and it crosses the y-axis at (0, −15). Work out the equation of the curve in the form y = (x − a)(x − b).
Build your own mix at the worksheet builder.