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.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?
- 2.Which expression is equivalent to 0.5(4x + 6) − x?
- 3.Write down the expression that means the same as m × m × m × n.
- 4.y = 3x − 2. Work out the value of y when x = 4.y = 3x − 2
- 5.Work out the equation of the straight line through the points (−3, 4) and (1, −8).
- 6.Write down 0.2x with its coefficient written as a fraction in its simplest form.
- 7.A sequence has nth term 3n + 4. Two terms are missing from the list of its first five terms: 7, 10, _, 16, _. Work out the missing 3rd and 5th terms added together.
- 8.Which expression is equivalent to 2(x + 6)?
- 9.Expand 2(x − 13)
- 10.A car park charges a £4 fixed fee plus £3 for each hour. Kofi has exactly £25 to spend on parking. Using the inequality 4 + 3h ≤ 25, work out the greatest number of whole hours, h, he can park for.
- 11.Solve the simultaneous equations 3x + 2y = 16 and x + y = 7. Work out the value of y.
- 12.Expand and simplify 2(a + 6) − 2(a − 7)
- 13.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 14.A car passes the 15 km marker on a road and passes the 195 km marker 3 hours later. Work out the gradient of the distance-time graph, that is the rate of change of distance with time.
- 15.The formula for the perimeter of a square is P = 4s, where s is the side length. Make s the subject of the formula.
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