Name______Period______
Quarter 3 Brain Teasers Bonus
1. Burlington is part French and part English. If 70% of the population speaks English and 60% of the population speaks French; what is the minimum percentage of French speaking persons that also speak English?
2. To paint two white lines dividing a road into three lanes costs $100.00. What will it cost to paint lines dividing a road into six lanes?
3. An elevator is on the ground floor. There are 4 people in the elevator including me. When the elevator reaches the 1st floor, 1 person gets out and 3 people get in. The elevator goes up to the 2nd floor, 2 people get out 6 people get in. It then goes up to the next floor up, no-one gets out but 12 people get in. Halfway up to the next floor up, the cable snaps, it crashes to the ground floor. Everyone dies in the elevator. How did I survive?
4. The day before yesterday, Kris was 7 years old. Next year, she will turn 10. How is this possible?
5. In a school, three rings of a bell indicate recess time. Most of the students try to get from their classroom to the school yardbeforethe third ring of the bell. There is a ten second interval between each ring. If two secondsare used to store their books...How much time is available to reach the school yard before the third bell?
6. A doctor in Paris has a brother in Toronto who is a lawyer. The lawyer does not have a brother who is a doctor in Paris. How is thispossible?
7. Three explorers and three cannibals want to cross a river. Three explorers know how to row a boat.
Only one cannibal knows how to row a boat. The boat can only hold two people at one time. If there are more cannibals on either side of the river at any one time, the cannibals will eat the explorers. How do they all manage to cross the river safely?
8. "My husband's age," remarked a lady the other day, "is represented by the figures of my own age reversed.He is my senior, and the difference between our ages is one-eleventh of their sum."How old are they?
9. "I say, Rackbrane, what is the time?" an acquaintance asked our friend the professor the other day.
The answer was certainly curious. "If you add one quarter of the time from noon till now to half the time from now till noon to-morrow, you will get the time exactly." What was the time of day when the professor spoke?
10. Samual J. Huston, a cattle-dealer of Texas, had five droves of animals, consisting of oxen, pigs, and sheep, with the same number of animals in each drove.One morning he sold all that he had to eight dealers.Each dealer bought the same number of animals, paying seventeen dollars for each ox, four dollars for each pig, and two dollars for each sheep; and Hiram received in all three hundred and one dollars.What is the greatest number of animals he could have had?And how many would there be of each kind?
11. Three boys were given a bag of nuts as a Christmas present, and it was agreed that they should be divided in proportion to their ages, which together amounted to 17½ years.Now the bag contained 770 nuts, and as often as Herbert took four Robert took three, and as often as Herbert took six Christopher took seven.The puzzle is to find out how many nuts each had, and what were the boys' respective ages.
12. Marmaduke: "Do you know, dear, that in seven years' time our combined ages will be sixty-three years?" Mary: "Is that really so? And yet it is a fact that when you were my present age you were twice as old as I was then. I worked it out last night." Now, what are the ages of Mary and Marmaduke?
13. A knight wanted to visit a princess. He had to arrive at exactly 17h00. If he travelled at 15 km per hour, he would arrive one hour too early. If he travelled at 10 km per hour, he would arrive one hour too late. At what time did he leave?What distance did he travel? At what speed did he travel?
14. A farmer puts six pigs into four pens. None of the pens are empty. None of the pens contain an uneven number of pigs. How did he manage this? (Draw a diagram to illustrate)
15. A figure resembling a spiral is shown with 35 matches. Move 4 matches to form 3 squares.