Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### Advanced mathematics

### For younger learners

# Litov's Mean Value Theorem

## You may also like

### Bat Wings

### Kate's Date

### Balancing the Books

Or search by topic

Age 11 to 14

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

What happens if you reverse the two original numbers?

Try starting with $2, 8$ instead of $8, 2$.

What happens if you keep one of the starting numbers constant and only change the other?

It might be faster to use a spreadsheet or to write a short program to help you identify the limiting value (the value you get if you continue this process indefinitely).

Keep a record of your results.

Share your results.

Test out your ideas.

Try starting with $2, 8$ instead of $8, 2$.

What happens if you keep one of the starting numbers constant and only change the other?

It might be faster to use a spreadsheet or to write a short program to help you identify the limiting value (the value you get if you continue this process indefinitely).

Keep a record of your results.

Share your results.

Test out your ideas.

Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?

When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?

How many visitors does a tourist attraction need next week in order to break even?