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Tools - Math 'Plausible Estimation' Estimates for a Million Tasks, Set #1



Estimates for a Million, Set #1 (solutions)
Estimating for Amazing Facts: Set #2 (solutions) || Set #3 (solutions)
Estimates for the USA, Set #4 (solutions)

Malcolm Swan
Mathematics Education
University of Nottingham
Malcolm.Swan@nottingham.ac.uk

Jim Ridgway
School of Education
University of Durham
Jim.Ridgway@durham.ac.uk


The aim of this assessment is to provide the opportunity for you to:
  • develop a chain of reasoning that will enable you to estimate quantities to an appropriate degree of accuracy
  • choose suitable units for your estimate
  • communicate the assumptions upon which your estimate is based.



  1. Breathing
    How many days would it take you to breathe a million times?

    Assumptions






    Reasoning













  2. Paper Clips
    Suppose a chain is made from a million paper clips. How far will it stretch?
    Choose suitable units for your answer.

    A picture of 4 paper clips strung together

    Assumptions






    Reasoning













  3. The brick wall
    Suppose you use a million household bricks to build a wall four feet high. How long would the wall be? Picture of a man laying bricks to build a wall


    Assumptions






    Reasoning













  4. The dripping faucet
    A faucet drips a million times. How many buckets will it fill? Picture of a dripping faucet


    Assumptions






    Reasoning













  5. Writing a million
    How long would it take you to write out all the numbers, from one to a million?

    Remember that some numbers have more digits than others!

    Picture of a pencil twisted into a question mark


    Assumptions






    Reasoning













Estimates for a Million, Set #1 (solutions)
Estimating for Amazing Facts: Set #2 (solutions) || Set #3 (solutions)
Estimates for the USA, Set #4 (solutions)


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