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.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 2.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
- 3.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 4.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 5.Solve 3x − 1 = 8
- 6.To solve 5x − 4 = 2x + 8, Chloe's working is shown. Line 1: 5x − 4 = 2x + 8. Line 2: 3x − 4 = 8. Line 3: 3x = 4. Line 4: x = 4/3. Chloe has made a mistake in her working. Which line contains the mistake?
- 7.Ethan is 10 years old and his father is 40 years old. Work out how many years ago Ethan's father was seven times as old as Ethan.
- 8.The first five square numbers are 1, 4, 9, 16, 25. Write down the next square number in the sequence.
- 9.Simplify 5a/6 − a/3
- 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.Which of these equations is equivalent to 5x − 2 = 3x + 8?
- 12.Priya says that x = 6 is the solution of the equation 4x + 8 = 24. Priya is wrong. Work out the correct value of x.
- 13.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 14.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 15.The formula for the circumference of a circle is C = 2πr, where r is the radius. Make r the subject of the formula.
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