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.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 2.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 3.Given that (x + 2)(x − 7) = 0, write down the two solutions of x.
- 4.a = 2 and b = 5. Work out the value of a²b.
- 5.Work out the values of x and y that satisfy both x + y = 10 and x − y = 4.
- 6.Work out the y-intercept of the graph of y = x² + 3x − 10.y = x² + 3x − 10
- 7.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.
- 8.Factorise fully 12x² + 18x.
- 9.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 10.A geometric sequence starts at 4, and each term after that is found by multiplying the term before it by 3. Write down the first four terms of the sequence.
- 11.A plumber charges a call-out fee plus an hourly rate for a job. The total cost, £C, for a job lasting h hours is given by the formula C = 40 + 25h. What does the number 40 represent in this formula?
- 12.A cinema sells adult tickets and child tickets. On one evening, 40 tickets are sold in total. There are 8 more adult tickets sold than child tickets. Work out the number of child tickets sold.
- 13.A formula is F = 4s. A pupil says that when s = 5 the value of F is 9, because they added 4 and 5 instead of multiplying. Work out the correct value of F when s = 5.
- 14.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.
- 15.A taxi company charges a £2.50 booking fee plus £1.80 per mile. A journey costs £15.10 in total. Work out the number of miles travelled.
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