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.Expand 7(a + 8)
- 2.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.
- 3.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 4.Two numbers have a sum of 24. Their difference is 6. Work out the two numbers.
- 5.Line C passes through (0, 0) and (4, 2). Line D passes through (0, 0) and (2, 2). Write down which of the two lines is the steeper.
- 6.Solve 6x + 4 = 28
- 7.A straight line passes through the points (0, 4) and (1, 9). Write down the gradient of the line.
- 8.Work out the distance of the point (−6, 4) from the x-axis.
- 9.Which of these is a term, rather than a whole expression, an equation, or a formula?
- 10.The mean of four numbers is 12.5. Three of the numbers are 8, 15 and 19. Form an equation using n for the fourth number, and solve it to find n.
- 11.A rectangle has length k cm and width 5 cm less than its length. Write down an expression for the width of the rectangle, in cm.
- 12.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 13.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 14.Solve x − 4 = −9
- 15.Yuki is y years old. Her brother is 4 years younger than Yuki. Write down an expression, in terms of y, for the brother's age in 5 years' time.
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