Math Arena Video Competition

8 Jul

 

1. Two boys, Andy and Ben start running at the same point P round a circular track at the same time but in opposite directions.  After both of them meet the first time, Andy took another 49 seconds to run back to P while Ben took another 1 minute 40 seconds to reach P. Given that both of them ran at uniform speeds, find the time taken for Ben to run around the circular track once.


 

2. The figure below shows six identical circles and a larger circle with diameter 10 cm.  Taking π = 3.14, find the area of the shaded region.

circlesforcompetition


 

3. Candy and Daisy were given some money each. If Candy and Daisy spent $16 and $12 each day respectively, Candy would still have $650 when Daisy had spent all her money. If Candy and Daisy spent $15 and $20 each day respectively, Candy would still have $825 when Daisy had spent all her money. How much money was given to Candy at the beginning?


 

For video submission, choose one of the above for the video solution…. of course you can do all 3 (one video — one solution.)

Apart from solving it correctly, we are looking for a clearly communicated solution so that a viewer can understand the solution and learn from it.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: