## Tools - Math 'Plausible Estimation' Estimating for Amazing Facts Tasks, Set #3

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. High stack
 Suppose you have a very large sheet of paper. You tear it in half and put one half on top of the other. You now have a stack of two sheets. You now tear the whole stack in half and place one half on top of the other to make a new stack. You repeat this process, tearing 50 times. (Yes I know its impossible - just imagine you could). How high would the stack be? 50 feet? 100 feet? A mile? or more...? Make a sensible estimate, based on careful reasoning.

 Assumptions Reasoning

2. The swimming pool and the glass.
 How long would it take you to empty an olympic size swimming pool with a glass?

 Assumptions Reasoning

3. The briefcase of cents
 Suppose you filled a briefcase with one cent coins. How much would the money be worth?

 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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