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.
Non-calculator
Algebra worksheet — GCSE Foundation
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- 1.Which of these is an equation, rather than an expression, a formula or an identity?
- 2.A rectangle has length k cm and width 5 cm less than its length. Write down an expression for the width of the rectangle, in cm.
- 3.Meera writes the statement 3(x + 4) = 3x + 12. Which of these correctly describes what she has written, with a reason?
- 4.Noah says that y = 3 is the solution of the equation y + 10 = 12. Noah is wrong. Work out the correct value of y.
- 5.A packet contains s sweets. The sweets are shared equally between f friends. Write an expression for the number of sweets each friend receives.
- 6.A tank already contains some water and is then filled at a constant rate. After 2 minutes it contains 50 litres in total; after 7 minutes it contains 150 litres in total. Work out the rate at which water is added, in litres per minute.
- 7.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.
- 8.Grace says that 2(x + 1) and 2x + 2 always have the same value. Work out the value of both expressions when x = 3.
- 9.Write down the expression that means the same as 3 × y × y.
- 10.A straight line has equation y = 5x. Work out the value of y when x = 3.y = 5x
- 11.Simplify k + k + k + k + k.
- 12.Which of these is an expression?
- 13.A number machine adds 1 to its input. Isla says that an input of 5 gives an output of 6. Which statement is correct?
- 14.Solve the inequality 9 − 2x ≥ 1.
- 15.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
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