How Do My Numbers Look to You?

How Do My Numbers Look To You?

This collection of problems provides many different interesting scientific contexts in which to develop the key skills of estimation and approximation, and to decide what units might be appropriate.

Does This Sound about Right? 

Age 11 to 14 Challenge Level:
Examine these estimates. Do they sound about right?

More or Less? 

Age 14 to 16 Challenge Level:
Are these estimates of physical quantities accurate?

Bigger or Smaller? 

Age 14 to 16 Challenge Level:
When you change the units, do the numbers get bigger or smaller?

Constantly Changing 

Age 14 to 16 Challenge Level:
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

Approximately Certain 

Age 14 to 18 Challenge Level:
Estimate these curious quantities sufficiently accurately that you can rank them in order of size