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 geometric sequence has first term 5, and each term after that is 3 times the term before it. Work out the first term of the sequence that is greater than 1000.
- 2.Write down the expression that means the same as m² × m × 3.
- 3.Work out the value of 5a + 2 when a = 3
- 4.A straight line passes through the points (2, 7) and (5, 16). Work out the value of y when x = 0.
- 5.Simplify 2a + 3b − a + 2b − b
- 6.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 7.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.
- 8.Kai writes the expression 8 − 3x + 5x² and says it has three terms. Ryan says it only has two terms because a number on its own is not a term. Work out the correct number of terms in the expression.
- 9.Work out the value of 3a − 2b when a = 5 and b = 4
- 10.Solve the inequality 5 − x ≤ 2.
- 11.A rule turns each input into an output. An input of 0 gives an output of −1, an input of 1 gives an output of 1, and an input of 2 gives an output of 3. Work out the rule, writing the input as x and the output as y.
- 12.Which expression means the same as a × a × a?
- 13.A graph has equation y = 3x + 2. Which word or phrase best describes its shape?y = 3x + 2
- 14.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 15.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.
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