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.Solve the inequality x − 10 < −3.
- 2.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.
- 3.The first four terms of a sequence are 4, 6, 8, 10. Work out an expression, in terms of n, for the nth term.
- 4.Solve 5x − 9 = 16
- 5.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.
- 6.Make x the subject of the formula y = 2x − 9.y = 2x − 9
- 7.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.
- 8.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 9.Expand and simplify 2(a + 6) − 2(a − 7)
- 10.In which quadrant does the point (−3, 0.5) lie?
- 11.Solve (3x + 2)/5 = (x + 4)/3
- 12.Solve (2x + 1)/3 = 5
- 13.Solve 6x − 5 = 3x + 13.
- 14.Amelia is buying books. Each book costs £5 and she has at most £30 to spend. Write down an inequality for x, the number of books she can buy.
- 15.Work out the value of 2x² when x = −3
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