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 6x + 4 = 28
- 2.A conversion graph shows that 5 miles is equivalent to 8 kilometres. Use this to work out how many kilometres are equivalent to 20 miles.
- 3.A plant is 4 cm tall in week 1. Each week after that, its height increases by 5 cm. Work out the first week in which the plant is taller than 30 cm.
- 4.A number machine multiplies its input by 3 and then adds 7. The output is 1. Work out the input.
- 5.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 6.Work out the value of 5y + 9 when y = 0
- 7.An arithmetic sequence has first term 40 and common difference −6. Work out the 9th term of the sequence.
- 8.Solve x² − 6x = 0.
- 9.Write down the coordinates of the point where the line y = 2x + 4 crosses the y-axis.y = 2x + 4
- 10.Simplify 2b − 1 + 2b − 4 + 2b
- 11.Which expression is equivalent to 0.5(4x + 6) − x?
- 12.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.
- 13.Solve x − 4 = −9
- 14.A sequence has the position-to-term rule 5n − 2, where n is the position number. Which of these is a term in the sequence?
- 15.A rectangle has area 24x + 18. Ffion factorises the area as 6(4x + 3). Work out the value of the area when x = 2, and decide whether 6 and (4x + 3) are correctly identified as factors of 24x + 18.
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