
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.

 Breathing
How many days would it take you to breathe a million times?
 Paper Clips
Suppose a chain is made from a million paper clips. How far will it stretch?
Choose suitable units for your answer.
 The brick wall
Suppose you use a million household bricks to build a wall four feet high. How long would the wall be?


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


 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!


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