# Problems of the Week - May 23 to May 29

May 23, 2022 | Lake Boone

Rewards for Problems of the week:

5 stars for the correct answer at your level; 10 stars for the next level; 20 stars for 2+ levels up.

Lower Elementary:

Question: There are six continents on a Risk game board. If there are 12 troops in North America, 16 troops in South America, 18 troops in Europe, 22 troops in Asia, 24 troops in Africa, and 100 troops on the board in total, then how many troops are in Australia?

Upper Elementary:

Question: Each side of a Monopoly board has 11 spaces from one corner to the next. How many spaces are there around the whole board?

Middle School:

Question: In each set of Scrabble tiles, there are 42 vowels, 58 consonants, and 2 blanks. Nine of the tiles are A tiles. What fractional part of the tiles are not A tiles?

Algebra and Up:

Question: In the game Clue, there are 6 suspect cards, 6 tool cards, and 9 location cards. A combination of 1 suspect, 1 tool, and 1 location is selected at random at the beginning of the game and put in an envelope. What is the probability that the combination in the envelope is the Candlestick, the Library, and anyone but Colonel Mustard?

## Challenge problem to take home. 5 stars for the correct answer.

Is this shape divided into fourths? How do you know?

Hint: Prove that triangle A is equal, or not equal, to triangle B.