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.Simplify 2b − 1 + 2b − 4 + 2b
- 2.Make p the subject of the formula n = p/3.
- 3.Which of these is an identity?
- 4.Simplify 5a/6 − a/3
- 5.Solve 3x − 5 = 4.
- 6.The formula for the profit, £P, made on an item is P = S − C, where S is the selling price and C is the cost price. Make S the subject of the formula.
- 7.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 8.Solve the simultaneous equations 3x + y = 14 and x + y = 6. Work out the value of x.
- 9.A straight line passes through the points (−1, 2) and (3, 14). Work out the equation of the line.
- 10.The solution to an inequality is n ≤ 5. Write down the largest integer value of n that satisfies this inequality.
- 11.A rope of length L metres is cut into 6 equal pieces, and 4 metres is then removed from one piece. Write an expression, in metres, for the length of that piece after the cut.
- 12.Which expression is equivalent to 3(2x − 5) + 4x?
- 13.The mean of four numbers is 12.5. Three of the numbers are 8, 15 and 19. Form an equation using n for the fourth number, and solve it to find n.
- 14.A currency conversion graph shows that £4 is equivalent to 5 US dollars. Use this to work out how many US dollars are equivalent to £24.
- 15.Work out the value of 2(x + 2) when x = −5
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