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.Which of these statements is an equation with exactly one solution?
- 2.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 3.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?
- 4.p = 4. Work out the value of 2p³.
- 5.A straight line has gradient −2 and passes through the point (3, 1). Work out the equation of the line.
- 6.Solve 3x − 1 = 8
- 7.a = 2 and b = 5. Work out the value of a²b.
- 8.Amelia's mother is three times as old as Amelia. Four years ago her mother was five times as old as Amelia was then. Work out Amelia's age now.
- 9.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 10.Work out the values of x and y that satisfy both x + y = 10 and x − y = 4.
- 11.A sequence begins at 60, and each term after that is found by subtracting 7 from the term before it. Work out the 5th term of the sequence.
- 12.The first four terms of a sequence are 4, 6, 8, 10. Work out an expression, in terms of n, for the nth term.
- 13.Which expression is equivalent to 3(2x − 5) + 4x?
- 14.The first five terms of a quadratic sequence are 5, 8, 13, 20, 29. Work out the next term in the sequence.
- 15.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
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