Batch 2 - Class 45 - Mathematical Hockey

• How many cats can you accommodate on last homework problem if you are allowed to draw four circles any which way you'd like?

  Answer: 14

• 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. Anisha, Nandini and Diya are three wicked sisters. Anisha is 97 years old, Nandini is 105, and Diya is 115. Muskaan the witch is their cousin. Muskaan and one of the sisters were born 10 years apart, Muskaan and another sister 8 years apart, and Muskaan and the remaining sister 2 years apart. How old is Muskaan?
• Answer: 107 years
2. Tishyaa, Liza and Smiti wore costumes of a witch, a devil and an angel. Smiti was neither the witch nor the devil. Tishyaa was not the witch. Who was who?
• Answer: Devil, Witch and Angel
3. Avy's collapsing fishing rod has 5 sections. The first section is 50 cm long; all the others are 40 cm long. When fully extended, each pair of sections has a 5cm overlap. What is the fully extended length of the rod?
• Answer: 190 cm
4. Four identical diamonds cost as much as 2 of those diamonds plus Rs 60000. What is the price of a single diamond?
• Answer: Rs 30000
5. Abhiram, Hriday, Kushaan, Adit and Aryan went trick-or-treating. Abhiram got more pieces of candy than Hriday, and Kushaan collected less than Adit. Abhiram got less than Kushaan, and Adit collected more than Aryan. Who collected the most?
• Answer: Adit
6. Three babies and two 2-kg shopping bags weigh the same as four babies and one 1-kg candy bag. How much does a baby weigh?
• Answer: 3 kg
7. Dudeney 333 - On a normal chessboard, a queen placed at its correct starting position can make 5 normal move. What is the largest distance it can travel in terms of number of squares?
• Answer: 31
1. Bonus Point: What is the largest path it can travel in terms of actual distance covered, assuming it moves from center of one square to center of another?

• Answer: Its the 29 square path!

8. Anisha, Nandini, Diya and Muskaan are flying on their brooms in a straight line. Diya is flying next to Anisha, but not next to Muskaan. Nandini is not next to Muskaan. Who is flying next to Nandini?
• Answer: Diya
9. Insert +,-,x,/ and parenthesis in following equation to get it right. You can combine multiple 2's into multidigit numbers like 222.   2 2 2 2 2 2 = 100
• Answer: (222-22)/2=100
10. Hriday, Kushaan and Adit are residents of Knights and Liars island. Hriday and Adit say that all three of them are liars. Kushaan claims that exactly two of them are liars. Who is a liar and who is a knight?
• Answer: Kushaan is the only knight
11. How many times faster is the minute hand of a clock than the hour hand of the clock?
• Answer: 12 times
12. Father pelican leaves the nest and heads for the lake. At the same time, Mother Pelican leaves the lake and heads for the nest. Since Mother Pelican has a beak-full of fish, she flies only half as fast as the father. Pelicans meet mid-air 4 minutes after takeoff. How long will it take Mother Pelican to get home from lake?
• Answer: 12 minutes
13. Tishyaa, a young and smart wizard is on the quest to for the Stone to Happiness. She sees two doors marked 20 and 21 in front. They lead to rooms with the same spell - when the wizard enters the room, 20 or 21 (respectively) random numbers will appear in front of her. She has to strike one number out. If the sum of leftover numbers is even, the Stone of Happiness will be revealed, else Tishyaa will perish! Which door should Tishyaa choose?
• Answer: 21

• Dudeney - 162: Can you cut this chain out of a piece of thick cardboard without any join whatever? Every link is solid; without its having been split and afterwards joined at any place.
• 

  Answer: The reader will probably feel rewarded for any care and patience that he may bestow on cutting out the cardboard chain. We will suppose that he has a piece of cardboard measuring 8 in. by 2½ in., though the dimensions are of no importance. Yet if you want a long chain you must, of course, take a long strip of cardboard. First rule pencil lines B B and C C, half an inch from the edges, and also the short perpendicular lines half an inch apart. Rule lines on the other side in just the same way, and in order that they shall coincide it is well to prick through the card with a needle the points where the short lines end. Now take your penknife and split the card from A A down to B B, and from D D up to C C. Then cut right through the card along all the short perpendicular lines, and half through the card along the short portions of B B and C C that are not dotted. Next turn the card over and cut half through along the short lines on B B and C C at the places that are immediately beneath the dotted lines on the upper side. With a little careful separation of the parts with the penknife, the cardboard may now be divided into two interlacing ladder-like portions, as shown in Fig. 2; and if you cut away all the shaded parts you will get the chain, cut solidly out of the cardboard, without any join. It is an interesting variant of the puzzle to cut out two keys on a ring—in the same manner without join.