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 gas company charges a standing charge plus a rate per unit used. The total cost, y in pounds, for using x units is given by y = 0.15x + 20. Work out the cost of using 200 units.y = 0.15x + 20
- 2.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.
- 3.A geometric sequence begins 162, 54, 18, 6, ... Work out the next term in the sequence.
- 4.Solve 3(2x − 1) = 27
- 5.Simplify 2a + 3b − a + 2b − b
- 6.y = x + 10. Work out the value of y when x = 0.y = x + 10
- 7.For the equation 2x + 3 = 11, and the inequality 2x + 3 > 11, which statement correctly compares their solutions?
- 8.The volume of a cuboid is given by the formula V = lwh. Work out V, in cm³, when l = 2, w = 3 and h = 6.
- 9.The formula connecting speed, distance and time is v = s ÷ t. Work out v, in km/h, when s = 180 and t = 4.
- 10.Work out the value of 3a − 2b when a = 5 and b = 4
- 11.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.
- 12.The first five square numbers are 1, 4, 9, 16, 25. Write down the next square number in the sequence.
- 13.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.
- 14.A ramp rises 3 m over a horizontal distance of 12 m. Work out the gradient of the ramp.
- 15.Write down 0.2x with its coefficient written as a fraction in its simplest form.
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