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.A rule turns each input into an output. An input of 0 gives an output of −1, an input of 1 gives an output of 1, and an input of 2 gives an output of 3. Work out the rule, writing the input as x and the output as y.
- 2.Write down the coefficient of p in the expression 7 − 4p + 9q.
- 3.The diagram shows the graph of a quadratic function. Write down the values of x where the graph crosses the x-axis.
- 4.A number machine multiplies its input by 2 and then subtracts 5. Work out the output when the input is 6.
- 5.A number machine multiplies its input by 5. Work out the output when the input is −1.
- 6.Solve the simultaneous equations 3x + 2y = 16 and x + y = 7. Work out the value of y.
- 7.Solve the simultaneous equations x + y = 15 and x − y = 3. Work out the value of x.
- 8.Write down the expression that means the same as m × m × m × n.
- 9.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 10.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.
- 11.Solve the inequality x + 5 < 12.
- 12.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.
- 13.y = 3x − 2. Work out the value of y when x = 4.y = 3x − 2
- 14.The expression 6n + 15 is written as 3(2n + 5). Which statement is correct?
- 15.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
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