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Grade 11 · Equations & Inequalities
Word Problems with Quadratics (Grade 11)
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Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    The product of two consecutive positive integers is 132. Determine the integers.
    (2)
  2. 2
    A rectangle is 3 m longer than it is wide and has an area of 40 m². Determine its dimensions.
    (2)
  3. 3
    The sum of a number and its square is 56. Determine the number if it is positive.
    (2)
  4. 4
    A cyclist rides 60 km. Riding 5 km/h faster would take 1 hour less. Determine her speed.
    (2)
  5. 5
    Two consecutive even numbers have a product of 168. Determine them.
    (2)
  6. 6
    Why must you write down a line rejecting one of the two answers?
    (2)
  7. 7
    A rectangle's length is twice its width. Its area is 72 m². Determine the width.
    (2)
  8. 8
    What is the first line you should write in any word problem?
    (2)
TOTAL: 16 marks
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