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.Solve x² = 81.
- 2.Solve x² + 7x = 0.
- 3.Solve the simultaneous equations x + y = 1 and 2x + y = 5.
- 4.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 5.A plumber charges a call-out fee plus an hourly rate. The total cost, y in pounds, of a job lasting x hours is given by y = 45x + 60. Work out the total cost of a job that lasts 3 hours.y = 45x + 60
- 6.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 7.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 8.A rule multiplies the input by a fixed number and then adds a fixed number. An input of 1 gives an output of 5, and an input of 3 gives an output of 11. Work out the rule, writing the input as x and the output as y.
- 9.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 10.Two numbers have a sum of 50. The larger number is twice the smaller number. Work out the smaller number.
- 11.For the graph of y = 1/x, where x cannot be zero, which of these statements is correct?
- 12.Which of these statements is an identity?
- 13.Simplify 5a/6 − a/3
- 14.A number machine multiplies its input by 2 and then subtracts 5. Work out the output when the input is 6.
- 15.In the expression 5x² − 3x + 7, which of these is a single term of the expression?
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