Problem of the Week – Week 12

Problem of the Week

Puzzle 12

You must answer two of the following three questions to earn credit.

If June ate 1/4 of 2/3 of 1/2 of a pie, what fraction of the whole pie did she eat? Express your answer as a common fraction.

If the top surface of a particular slice of pie is a sector of a circle with a vertex angle measuring 20 degrees and the length of the arc is π units, what is the circumference of the top surface of the whole pie? Express your answer in terms of π.

What is the perimeter of the top surface of the remaining portion of the pie if only the slice described in question 2 is removed? Express your answer in terms of π.

Problem of the Week – Week 11

Problem of the Week

Puzzle 11

Five friends are going to the movies.  When they arrive, there are only six seats together left in the theater.  The manager will let all five friends in for free if one of them can tell him how many different seating arrangements are possible for five people with six empty seats.  How many arrangements are possible?

Problem of the Week – Week 10

Problem of the Week

Puzzle 10

A picture frame that usually sells for $50 is on sale for 5% off.  If a 5% sales tax were added to the sale price, what amount would you pay?

Problem of the Week – Week 9

Problem of the Week

Puzzle 9

My company made $25,000 on a project, which was 121% more than it made on the same project last year.  How much did my company make on this project last year?

Problem of the Week – Week 8

Problem of the Week

Puzzle 8

Suppose you have 16 blue socks and 22 black socks in a drawer. If you reach into the drawer without looking at the socks, what is the smallest number of socks you must take from the drawer to be assured of getting one pair of blue socks?

Problem of the Week – Week 7

Problem of the Week

Puzzle 7

What is the value of R?

            Q + M = C

            C + K = R

            R + Q = S

            M + K + S = 20

            Q = 4

Problem of the Week – Week 6

Problem of the Week

Puzzle 6

If a number is chosen at random from the numbers 1 to 20 inclusive, what is the probability that:
a) a prime number will be picked?

b) an even number will be picked?

c) a single digit number will be picked?

Problem of the Week – Week 5

Problem of the Week

Puzzle 5

Clues

1. It is a three digit whole number.
2. It is divisible by 4.
3. It is divisible by 5.
4. It is divisible by 11.
5. It is divisible by 3.

Rules of divisibility are available from Jackie upon request.

Problem of the Week – Week 4

Problem of the Week

Puzzle 4

Clues

1. It is a four digit whole number.
2. It is greater than 5800.
3. It is less than 6200.
4. The sum of its ones digit and its hundreds digit is nine.
5. The sum of its tens digit and its thousands digit is nine.
6. It is divisible by 4.

Problem of the Week – Week 3

Problem of the Week

Puzzle 3

Clues

1. It is a four digit whole number.
2. Each of its digits is even.
3. Each of its digits is different.
4. The sum of its ones digit and its hundreds digit is ten.
5. The sum of its tens digit and its thousands digit is ten.
6. It is greater than 7000.
7. It is divisible by 4.