16 Apr 2013

Combinations of Small Tiles: Upper Primary Mathematics Competition Question

You are given two tiles, one has dimensions 1x2 units and the other is 1x5 units.

You have as many of each tile as you need. You are asked to tile different areas using only these two tiles.

For example, you can make an area of 10 using just two 5s. You can make an area of 14 using two 5s and two 2s or with seven 2s.

Two questions

a) Which whole numbers cannot be made using just these two tiles?

b) In how many different ways can you make the number 30?

Feel free to comment, ask questions and even check your answer in the comments box below powered by Disqus.

If you enjoy using this website then please consider making a donation - every little helps :-)

You can receive these questions directly to your email box or read them in an RSS reader. Subscribe using the links on the right.

Don’t forget to follow Gifted Mathematics on Google+Facebook or Twitter. You may add your own interesting questions on our Google+ Community and Facebook..

You can also subscribe to our Bookmarks on StumbleUpon and Pinterest. Many resources never make it onto the pages of Gifted Mathematics but are stored in these bookmarking websites to share with you.

No comments:

Post a Comment

Related Posts Plugin for WordPress, Blogger...