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 plumber charges a call-out fee plus an hourly rate. The total cost, y in pounds, of a job lasting x hours is given by y = 45x + 60. Work out the total cost of a job that lasts 3 hours.y = 45x + 60
- 2.Factorise x² − 3x − 10.
- 3.Write down the expression that means the same as w ÷ 6.
- 4.Priya has a budget of £50 for a school trip. The coach costs £14 and each student ticket costs £4. Using the inequality 14 + 4s ≤ 50, work out the greatest number of student tickets, s, she can buy.
- 5.Work out the value of 3n − 2 when n = 1
- 6.Make m the subject of the formula w = m − 8.
- 7.A table of values is being drawn for the graph of y = x³. Work out the value of y when x = −2.y = x
- 8.A zip-line runs from a platform 25 m high to a landing point 5 m high, over a horizontal distance of 40 m. Work out the gradient of the zip-line.
- 9.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 10.Solve the simultaneous equations 5x − 2y = 16 and 3x + 2y = 16. Work out the value of x.
- 11.A lift has a weight limit: it must carry no more than 630 kg. Let w be the total weight, in kg, carried by the lift. Which inequality describes this?
- 12.The point B has coordinates (−2, −2). In which quadrant is B?
- 13.Look at the statement 2x + 5 = 17. Considering whether it is an expression, an equation, a formula, or an identity, which classification is correct?
- 14.Expand 2(x − 13)
- 15.Solve 7x − 5 = 3x + 11
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