# Love Maths?

## Did you know?

- 111,111,111 multiplied by 111,111,111 gives 12,345,678,987,654,321
- 2520 is the smallest number that can be exactly divided by all the number 1 to 10

## Sodoku helps with your maths?

Article on benefits of Sodoku for strengthening core logic skills needed to solve Maths problems… Give your struggling student a small challenge in the holidays!

Finish this simple Soduku – rules: the consecutive numbers 1 to 4(a set) must fill the remaining empty boxes BUT there can only be 1 set (in any order) per row(s), column(s) or box(es)

## Sites to visit if you want to practice over the holidays:

##### Primary and up to yr 11:

http://www.schoolatoz.nsw.edu.au/homework-and-study/mathematics/help-sheets

##### For Year 12:

http://www.boredofstudies.org/view.php?course=1

http://www.harderhscmaths.com/ (videos to watch of harder maths being completed)

## Do boys like maths more than girls?

Article about Maths and gender?

__Probability Pandemonium__

__Probability Pandemonium__

__Crazy Kids:__

Imagine that you know a family has 2 children (that aren’t twins). Later, you discover that one of the children is a girl, what then is the probability that the other one is a girl?

Hint: it’s not 1/2!

Answer see below…

__Devious Doors:__

There was a games show which included a section in which you could win a car by correctly selecting which door it was behind. It went like this:

- The host would ask you to pick and stand in front of 1 out of 3 closed doors, 1 of which had a car behind it, the other 2 with nothing
- The host would then reveal a door that you
*hadn’t*chosen that had nothing behind it, leaving two unopened doors, one of which you were still standing in front of. - The host would then ask, would you like to stick with the door you’re currently with, or would you like to switch to the other remaining unopened door?

If you wish to maximise your probability of winning the car, what should you do?

Answer see below…

__Solution Crazy Kids:__

You have to consider the possible combinations of the children’s genders and how the information came to you.

When you knew that they had 2 children there were 4 possibilities:

Older: Boy Boy Girl Girl

Younger: Boy Girl Boy Girl

When you discover that one is a girl it eliminates the possibility that they’re both boys, it also leaves only 1 of the remaining 3 that has the second child as a girl.

Therefore the **answer is 1/3**!

__Solution Devious Doors: __

**You should switch!**

When you first chose your door there was a 2/3 chance that it contained nothing. Despite the host eliminating one of the nothing outcomes it is still more likely that you are currently standing in front of a nothing outcome because of when you made your selection.

Therefore since it’s more likely that you have nothing and the other nothing option is gone you have a 2/3 chance of winning if you switch to the remaining door! Deal or No Deal works on the same concept to a much larger scale.