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# Dining Ducks

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### Graphing Number Patterns

### How Big Are Classes 5, 6 and 7?

### You Never Get a Six

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Age 7 to 11

Challenge Level

Every healthy duck is greedy and every old duck is greedy.

On a particular farm, some ducks are greedy and some ducks are not.

Which of the following statements about the ducks on that farm must be true?

- There are both young ducks and old ducks.
- All the ducks that are not greedy are young.
- Some of the young ducks are sick.
- All the sick ducks are young.

*This problem has been adapted from the book "Sums for Smart Kids" by Laurie Buxton, published by BEAM Education. This book is out of print but can still be found on Amazon.*

Does a graph of the triangular numbers cross a graph of the six times table? If so, where? Will a graph of the square numbers cross the times table too?

Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.