Problem of the Week #27: Posted May 20, 2008

Grade 6
Six monkey statues are arranged in a row from left to right. Each monkey is a reflection of the one sitting beside it on its left. If the first monkey has its right paw raised, what paw does the last monkey have raised?

Grade 7
If my garden is a rectangle in shape and has an area of 40 square metres what is the least amount of fence I need to go around the garden?

Grade 8
A ladder is leaned against a vertical wall such that the slope of the ladder is 9/4.
The ladder reaches a point on the wall that is 13.7 metres from the ground. If the ground is level, what is the length of the ladder?

Grade 9
What is the shape of the graph of all the solutions to the equation

Grade 10
List all the Pythagorean triples by creating a formula to determine such.

Problem of the Week #26: May 5th, 2008 – May 9th , 2008

Grade 6
There are 12 eggs in a carton, and 8 cartons in a crate. Twenty crates of eggs were delivered to the SuperStore. How many eggs were in the shipment?

Grade 7
A cat had a litter of kittens. One quarter of the kittens are female. One third of the male kittens and one third of the female kittens are black. If there are four black kittens all together, how many kittens were in the litter?

Grade 8
A 60 passenger bus begins its run at the first stop by picking up half its capacity. At the next stop three people get off, but five people get on. At the next stop half the people get off but twelve more get on. At the next stop one quarter of the passengers get off the bus, but three people get on. What lowest term fraction expresses the load of the bus? ( number of passengers compared to capacity).

Grade 9
You are standing in line to see a movie. You notice that there are five more people ahead of you in the line than there are behind you. Four times as many people are in the line as the number who are behind you. How many people are ahead of you in the line?

Grade 10
Find two whole number factors of one billion that do not contain any zeros as a digit. In other words, what two whole numbers that contain no zeros can be multiplied to get a product of 1 000 000 000.