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Direct and inverse proportionIB MYP Maths Extended: Flashcards

What these 12 flashcards ask

  • What is the equation for direct proportion?
  • What is the equation for inverse proportion?
  • y\propto x and y=18 when x=4. Find k.
  • p is inversely proportional to q and p=6 when q=5. Find k.
  • What does the graph of direct proportion look like?
  • What does the graph of inverse proportion look like?
  • What does doubling x do to y in direct proportion?
  • What does doubling x do to y in inverse proportion?
  • What is the unitary method?
  • 5 cooks take 8 hours. How long do 8 cooks take?
  • Which is the right model: workers and time, or guests and rice?
  • Why can the inverse model fail for very many workers?

Exam questions on Direct and inverse proportion

  1. yy is directly proportional to xx, and y=18y=18 when x=4x=4.
    Find the value of xx when y=63y=63.2 marks
  2. pp is inversely proportional to qq, and p=6p=6 when q=5q=5.
    Find the value of qq when p=4p=4.2 marks
  3. A currency exchange in Doha gives USD 68.5068.50 for QAR 250250, at a fixed rate with no commission.
    Find how many USD are given for QAR 18001800.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).