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.In the expression 5x² − 3x + 7, which of these is a single term of the expression?
- 2.A straight line has gradient 3 and passes through the point (1, 4). Work out the equation of the line.
- 3.Solve 2(x + 3) = 10
- 4.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 5.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
- 6.Solve 5x + 2 = 17.
- 7.The perimeter, P, of a rectangle with length l and width w is calculated using P = 2l + 2w. What kind of mathematical statement is P = 2l + 2w?
- 8.Work out the gradient of the straight line with equation y = (2x/5) − 3.
- 9.A gym charges a joining fee plus a monthly fee. Anna paid £100 in total after 3 months of membership. Ben paid £160 in total after 6 months of membership (same joining fee and monthly fee as Anna). Work out the monthly fee.
- 10.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 11.A number machine multiplies its input by 5. Work out the output when the input is −1.
- 12.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 13.A plant is 4 cm tall in week 1. Each week after that, its height increases by 5 cm. Work out the first week in which the plant is taller than 30 cm.
- 14.There are 50 adults on a coach to the Lake District. Every adult is either a man or a woman. There are 10 more men than women. Work out the number of men.
- 15.A square has sides of length y cm. Write down an expression for the perimeter of the square.
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