POTW 27

Problem of the Week
Grade 6
Don’t Spill the Beans!
On a shelf in an old-fashioned candy store sits a jar of 120 jelly beans, some red,
some white, and some green.
a) If half of the jelly beans are red, and 20% are green, how many candies are
there of each colour?
b) Juming loves red jelly beans. She takes a scoopful of red jelly beans from the
jar. After these are removed, only 40% of the remaining jelly beans in the jar
are now red. What percentage of the remaining beans are green or white?
(Keep in mind that the remaining beans in the jar are the new 100%.)
c) How many red jelly beans did Juming scoop from the jar?
Problem of the Week
Grade 7
Up
Locations on the main floor of a house are described using a coordinate system
and coordinate geometry.
Vroom is a robotic vacuum that moves around the main floor of a house. The robot
travels from one point to the next point in one straight line. Vroom’s base is
located at (0,0). Vroom starts at its base and moves to the following points, in
order, before returning to its base: (1,1), (−1,3), (−3,3), (−3,1), (−2,−2).
What is the area of the figure that Vroom traced out?