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 point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 2.A car passes the 15 km marker on a road and passes the 195 km marker 3 hours later. Work out the gradient of the distance-time graph, that is the rate of change of distance with time.
- 3.Factorise fully 12x² + 18x.
- 4.Write down the coefficient of p in the expression 7 − 4p + 9q.
- 5.Write down the expression that means the same as (x + 7) ÷ 4.
- 6.Solve the inequality 9 − 2x ≥ 1.
- 7.Harry is 14 years old and Mia is 8 years old. Will Harry ever be exactly twice as old as Mia? Give a reason for your answer.
- 8.To rearrange y = 2x − 5 to make x the subject, Sam writes: 'Add 5 to both sides to get y + 5 = 2x, then divide both sides by 2 to get x = (y + 5)/2.' Which statement about Sam's method is correct?y = 2x − 5
- 9.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 10.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
- 11.A geometric sequence starts at 3, and each term after that is found by multiplying the term before it by 2. Write down the first four terms.
- 12.Solve 4x + 3 = 19
- 13.Work out the value of 3b − 4 when b = 6
- 14.An arithmetic sequence has first term 40 and common difference −6. Work out the 9th term of the sequence.
- 15.A straight line passes through the points (1, 3) and (2, 5). Work out the equation of the line.
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