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.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.
- 2.Factorise fully 5x + 5y − 5
- 3.Which expression means the same as a × a × a?
- 4.y = 3x − 2. Work out the value of y when x = 4.y = 3x − 2
- 5.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.
- 6.Solve 3x − 1 = 8
- 7.The graph of y = 20/x is drawn for x > 0. As the value of x increases, what happens to the value of y?
- 8.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 9.A rule turns each input x into an output y. The inputs are x = 1, 2, 3, 4 and the matching outputs are y = −5, −3, −1 and one missing value. Work out the missing value of y.
- 10.Two numbers have a sum of 24. Their difference is 6. Work out the two numbers.
- 11.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.
- 12.Which of these equations gives a graph with two separate curved branches — one where x and y are both positive, and one where x and y are both negative?
- 13.A scout leader is 44 years old and one of the scouts is 16 years old. Work out how many years it will be until the leader is exactly twice as old as the scout.
- 14.Work out the gradient of the straight line that passes through the points (−1, 5) and (3, −7).
- 15.A person's body mass index is given by the formula B = m ÷ h², where m is the mass in kg and h is the height in metres. Work out B, to 1 decimal place, when m = 68 and h = 1.6.
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