Batch 2 - Class 50 - Mathematical Hockey

• Two teams; each player must take turns - can do random or assigned play as long as everyone gets turn
• 5 minutes per problem. Person to answer first wins if answer is right. Else the other person wins without having to answer
• If no one answers for 5 minutes, then 30 seconds for the next person scheduled on the team to answer
• Draw the hockey rink and goal posts and zones
• Display problems on TV screen

1. MC Diaries - Chap 11 Problem Set - 1: Several inhabitants of the knights and liars island are spending an evening at the beach. At various points during a conversation, each person says to all others, "You are all liars!". How many knights are there at the beach?
• Answer: 1
2. MC Diaries - Chap 12 Problem 1: A boy and girl are sitting next to each other. "I am a boy!" - says the dark haired child. "I am a girl!", says the red haired child. Find out the color of boy's and girl's hair if it is known that at least one child is not telling the truth. 
• Answer: Boy red hair; Girl dark haired
3. MC Diaries - Chap 12 Problem 2: Cut an equilateral triangle into three identical triangles
• Answer: Draw lines connecting vertices to center
4. MC Diaries - Chap 12 Problem 3: Four matchsticks are used to create a martini glass, which has a cherry inside it. Move one matchstick to move the cherry outside the Martini glass
• Answer: Move the bottom one under any other arm of the glass
5. MC Diaries - Chap 12 Problem 4: Four coins are placed in a row. It is known that at least one coin is real and at least one coin in counterfeit. A counterfeit coin is 1 gm lighter than a real one. All counterfeit coins are placed to the left of all real coins. Using  a balance scale with two pans, find all the counterfeit coins in one weighing
• Answer: Since there is at least one counterfeit and one real, the leftmost and rightmost must be counterfeit and real respectively. Weigh those two against the middle to find whether the middle ones have 0, 1, or 2 counterfeit
6. MC Diaries - Chap 12 Problem 5: Three brothers received following inheritance: 7 full chests of gold, 7 half chests of gold, and 7 empty chests. Can they divide this inheritance so that each brother gets same amount of gold and same number of chests? Transferring gold from one chest to another is not allowed 
• Answer: Yes. Two brothers get 3 full, 1 half and 3 empty chests. Last brother gets a full, five half and 1 empty chest
• Bonus Point: Is there another solution?

  Answer: Yes. 3F+1H+3E, and two get 2F+3H+2E
7. MC Diaries - Chap 12 Problem 7: There are white, gray and spotted rabbits on an island. Grey mothers reproduce a white and grey rabbit. Spotted mothers do the same. However, a white rabbit reproduces a grey, a white and a spotted bunny. The first and only rabbit to reach the island was a rabbit called Great Mother through whom all rabbits descended. Currently 40 grey, 40 white and 30 spotted rabbits live on the island. If no rabbit ever died or left the island, what color is Great Mother?
• Answer: Spotted  - otherwise given that every litter has a white and grey, starting with white or grey would leave an unequal number of the two
8. MC Diaries - Chap 12 Additional Problem 2 - How can you fetch exactly 6 liters of water from the well if all yo have are two buckets - 4-liter and 9-liter ones?
• Answer: Fill 9 liter and empty two 4 liter to get 1 liter - transfer to 4 liter. Fill 9 and transfer remaining 3 liter to fill the 4 liter bucket. 9 liter bucket now has 6 liters of water left.
9. MC Diaries - Chap 12 Additional Problem 3 - Place 15 integers in a circle so that sum of any two adjacent ones is odd
• Answer: Not possible
10. MC Diaries - Chap 12 Additional Problem 4 - Mom and toddlers, 36 in all, took part in a cycle race. Moms rode two-wheeled cycles and toddlers 4 wheeled ones. There were total of 110 wheels. How many toddlers took part in the cycle race?
• Answer: 19
11. MC Diaries - Chap 12 Additional Problem 9 - A necklace has 34 beads. It is known that any two beads located exactly two beads apart are of the same color. What is the maximum number of colors in the necklace?
• Answer: 1
12. UltimateBrainTrainer 129 - Look at the image for one minute, and then switch it off. Now ask kids in each team, turn by turn, to recall and draw one item in the right place. Right answer moves the puck by one. Wrong answer moves it back by one.
13. Logo Quiz - Get people from both teams come forward, and draw a number from 1 to 21 - they have to identify that logo
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14. UltimateBrainTrainer 132 - Whats unique about the following text?

• Answer: No word is repeated
• Kids also came up with another one - Helium is the only liquid metal, so there can't be study of liquid metals

• River crossing problem (JEALOUS HUSBANDS) carried forward from last time