Problem Of The Week

Problem Of The Week: 

Problem Of The Week Edited by J. S. And animated by J. S.

Slide2: 

Little Billy was out trick-or-treating on Halloween. He had gotten a lot of candy and was peering into his bag, when out from behind a tree came a mean goblin (actually it was his older brother, Donald). The goblin reached into Billy’s bag and took half of his candy plus one piece. Within a few steps, Billy encountered a nasty ghoul (actually it was his next-door neighbor, Walter) who reached into Billy’s sack and took half of his remaining candy plus two pieces. Before he could turn and run, a scary ghost (actually it was Tracy, the girl who sat behind him in school) took half the candy that was left plus three pieces. Now Little Billy began to cry because he only had five pieces of candy left. How many pieces of candy did he have before Donald, Walter and Tracy raided his sack #6 Problem of the Week

Slide3: 

#7 Problem of the Week The design below grows each day as shown. If it continues to grow like this, how many tiles will there be in the design on the tenth day? On the fiftieth day? On the ninth day? Day 1 Day 2 Day 3 #7 Problem of the Week

Slide4: 

I snap my fingers now. In one second, I snap them again. I wait two seconds and snap them a third time. I wait four seconds before snapping them again. Then I wait eight seconds, then sixteen, and the pattern continues on. The interval between snaps doubles each time. How many times will I snap my fingers during the next year? #8 Problem of the Week

Slide5: 

Amy’s project in a metal shop class is to make a box (with no lid). Her shop teacher gave her a piece of metal that is 28 cm long and 20 cm wide. The assignment is to form the box by cutting squares out of each corner and bending the sides up as shown below. The shop teacher, Mr. Rust, will give extra credit to any student who forms the box that holds the most when the cut-out square is a whole number of centimeters on each side. Amy wants the extra points! How large a square should she cut from each corner to form the box with the greatest volume? #9 Problem of the Week 28 cm 20 cm ?? cm ?? cm

Slide6: 

Each week our school’s teams travel to other schools for competitions. Today the five members of the gymnastics team and seven weight lifters are on their way to our rival school for meets. The coaches would like the athletes on the two teams to get to know one another, so they will assign them to ride together in two vans. In how many ways can five gymnasts and seven weight lifters ride in two vans if no van contains more than eight passengers and there is at least one member of each team in each van? #10 Problem of the Week

Slide7: 

The design below grows each day, as shown. If it continues to grow like this, how many tiles will there be in the design on the tenth day? On the fiftieth day? On the nth day? #11 Problem of the Week

Slide8: 

Kenny and Tyler went apple picking. When their mother asked them how many apples they picked, they answered her with these clues: If the apples were counted by twos, threes or fives, there would be one apple left over each time. If the apples were counted by sevens, there would be nothing left over. What is the smallest number of apples they could have picked? #12 Problem of the Week

Slide9: 

At a committee meeting, ten people were seated around a circular table. At the conclusion of the meeting, each person shook hands with everyone else at the meeting except the people who sat either to the right or to the left. How many handshakes took place? #13 Problem of the Week