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.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 2.Expand 2(x − 13)
- 3.The graph of y = x² − 2x − 8 takes these values: when x = −2, y = 0; when x = −1, y = −5; when x = 0, y = −8; when x = 3, y = −5; when x = 4, y = 0. Use these values to write down the two solutions of x² − 2x − 8 = 0.y = x² − 2x − 8
- 4.Amelia is buying books. Each book costs £5 and she has at most £30 to spend. Write down an inequality for x, the number of books she can buy.
- 5.Solve the inequality x + 5 < 12.
- 6.Write down the expression that means the same as 3 × y × y.
- 7.A Fibonacci-type sequence begins 3, 5, 8, 13, ... where each term after the second is the sum of the two terms before it. Work out the 7th term of the sequence.
- 8.A packet contains s sweets. The sweets are shared equally between f friends. Write an expression for the number of sweets each friend receives.
- 9.A number machine adds 6 to its input. Work out the output when the input is −4.
- 10.Work out the value of 3x² − 4x when x = −2.
- 11.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 12.Work out the value of 3b − 4 when b = 6
- 13.The graph of y = mx + 6 passes through the point (−2, 0). Work out the value of m.
- 14.The formula for the circumference of a circle is C = 2πr, where r is the radius. Make r the subject of the formula.
- 15.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
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