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.
Non-calculator
Algebra worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.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.
- 2.Solve 2x² − 32 = 0.
- 3.A student says that (x + 4)² is equivalent to x² + 16. For which value of x do the two expressions give the SAME result, making it look (misleadingly) like the student could be right?
- 4.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 5.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.
- 6.Make x the subject of the formula y = 2x − 9.y = 2x − 9
- 7.A number machine adds 1 to its input. Isla says that an input of 5 gives an output of 6. Which statement is correct?
- 8.A plumber charges a £35 call-out fee plus £20 for each hour worked, h. On a certain job the total charge was £115. Work out how many hours the plumber worked.
- 9.y = 5 − 2x. Work out the value of x when y = 11.
- 10.A sequence begins at 7. Each term after the first is found by adding 6 to the term before it. Work out the 6th term of the sequence.
- 11.Work out the y-intercept of the graph of y = x² + 3x − 10.y = x² + 3x − 10
- 12.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.
- 13.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.
- 14.Work out the value of 3x² − 4x when x = −2.
- 15.Write down the gradient of the line with equation y = 6 + 4x.
Build your own mix at the worksheet builder.