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.Solve 2(x + 3) = 10
- 2.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 3.A number machine adds 5 to its input. Work out the output when the input is 0.
- 4.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 5.Work out the value of 5y + 9 when y = 0
- 6.The point A lies on the x-axis. Which statement about A must be true?
- 7.The line y = 3x + 6 meets the x-axis at one point. Work out the coordinates of that point.y = 3x + 6
- 8.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.
- 9.A number machine multiplies its input by 5. Work out the output when the input is −1.
- 10.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.
- 11.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 12.Write down the coordinates of the point where the line y = 2x + 4 crosses the y-axis.y = 2x + 4
- 13.A straight line has equation y = 2x − 7. Write down the coordinates of the point where the line crosses the y-axis.y = 2x − 7
- 14.A ball's height, h metres, t seconds after being thrown follows h = (t − 1)(9 − t). Given that the ball is at ground level at t = 1 and t = 9, work out at what time t the ball reaches its maximum height, using symmetry.
- 15.Harry is 14 years old and Mia is 8 years old. Will Harry ever be exactly twice as old as Mia? Give a reason for your answer.
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