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.A graph has equation y = 3x + 2. Which word or phrase best describes its shape?y = 3x + 2
- 2.A geometric sequence begins 80, 40, 20, 10, ... Work out the next term in the sequence.
- 3.The first four terms of a sequence are 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 4.A sequence has the position-to-term rule: the term is the position number multiplied by itself. Its first five terms are 1, 4, 9, 16, 25. Work out the 8th term.
- 5.A table of values is being drawn for the graph of y = x³. Work out the value of y when x = −2.y = x
- 6.A number machine multiplies its input by 2 and then subtracts 5. Work out the output when the input is 6.
- 7.Solve the inequality x − 10 < −3.
- 8.The first four terms of a sequence are 6, 13, 20, 27. Work out an expression, in terms of n, for the nth term.
- 9.Make x the subject of the formula y = 5x + 3.y = 5x + 3
- 10.In the expression 5x² − 3x + 7, which of these is a single term of the expression?
- 11.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 12.The perimeter, P, of a rectangle with length l and width w is calculated using P = 2l + 2w. What kind of mathematical statement is P = 2l + 2w?
- 13.Solve x − 4 = −9
- 14.The point B has coordinates (−2, −2). In which quadrant is B?
- 15.A plumber charges a £35 call-out fee plus £20 for each hour worked, h. On a certain job the total charge was £115. Work out how many hours the plumber worked.
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