Math Mania 2022
- What is the first time after 9 o'clock when the angle between the hands of a clock
is 50 degrees?
- A square and a regular hexagon are joined along an edge as shown in the figure. A
third regular polygon can be placed at vertex A so that it shares a side with each
of the other polygons. How many sides does the third polygon have?
- What is the next most likely term in the following sequence: 1, 4, 13, 40, 121, 364,
...?
- If a fair coin is tossed 6 times, what is the probability that the number of heads
and tails is equal? Give your answer as a reduced fraction.
- Alice and Bob can paint a room in 3 hours. Alice and Carol can paint the same room
in 4 hours. Bob and Carol can paint the room in 6 hours. How long would it take to
paint the room if Alice, Bob, and Carol all worked together?
-
- The time is 9:40.
- The polygon has 12 sides.
- The next most likely term is 1093.
- The probability is 5/16.
- It would take them 2 2/3 hours or 2 hours and 40 minutes to paint the room.
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