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Finding the constant of proportionality for directly proportional relationships

The starter and exit quiz of the lesson “Finding the constant of proportionality for directly proportional relationships”, from the unit “Direct and inverse proportion” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. What letter is used to represent the constant of proportionality?
  2. Which of the following equations represent y being directly proportional to some form of x?
  3. Match each equation to its correct value of k.
  4. y is directly proportional to x. When x = 70, y = 245. Write an equation connecting x and y.
  5. y is directly proportional to x. When x = 8, y = 13.2. Write an equation connecting x and y and use this to find the value of y when x = 35.
  6. y is directly proportional to x. When x = 8, y = 13.2. Write an equation connecting x and y and use this to find the value of x when y = 66.
  7. Which of the following equations represent y being directly proportional to x or a power of x in some way?
  8. Match each equation to its correct value of k.
  9. Match the following:
  10. y is directly proportional to x^2. When x = 6, y = 108. Write an equation connecting x and y and use this to find the value of y when x = 11.
  11. y is directly proportional to {\sqrt[3]{x}}. When x = 64, y = 20. Write an equation connecting x and y and use this to find the value of y when x = 343.
  12. y is directly proportional to {\sqrt[3]{x}}. When x = 64, y = 20. Write an equation connecting x and y and use this to find the value of x when y = 25.

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Finding the constant of proportionality for directly proportional relationships · Examplary