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.
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Algebra worksheet — GCSE Foundation
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- 1.A cyclist's journey is shown on a distance–time graph. The graph is a straight line from (0 minutes, 0 km) to (40 minutes, 12 km). Work out her speed in kilometres per hour.
- 2.Write down the expression that means the same as (x + 7) ÷ 4.
- 3.Work out the values of x and y that satisfy both x + y = 10 and x − y = 4.
- 4.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 5.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 6.Three vertices of a rectangle are (−4, −1), (2, −1) and (2, 3). The sides of the rectangle are parallel to the axes. Write down the coordinates of the fourth vertex.
- 7.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 8.Which expression is equivalent to 7x − 3(2x − 6)?
- 9.Write down the expression that means the same as p + p + p + q.
- 10.A straight line has equation y = 4 − 3x. Work out the gradient of the line.
- 11.Factorise fully 56x − 24
- 12.Solve the inequality x + 5 < 12.
- 13.A charity's fundraising total, T pounds, over d days follows T = (d − 3)(30 − d) for 3 ≤ d ≤ 30, where T = 0 marks the start and end of the campaign. Work out how many days the campaign runs for, from start to end.
- 14.Make x the subject of the formula y = x + 7.y = x + 7
- 15.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.
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