Problem of the week #25: April 21 – April 25, 2008

Grade 6
How many numbers between 20 and 40 have exactly four factors?

Grade 7
I used my calculator to divide two whole numbers. The answer on the calculator is 3.125 but I don’t remember what numbers I divided. Do remember that they were both less than they were both less than 50. Can you find what numbers I divided?

Grade 8
I used my calculator to divide two whole number and got a solution of 3.571428….
I don’t remember the numbers but I know they were both less than 30. What numbers did I divide?

Grade 9

I used my calculator to divide two whole numbers and got a solution of 1.846153…..
Both numbers were less than fifty. Can you find two division statements that solve the problem?

Grade 10

I used my calculator to divide two whole numbers less under 100 and found the answer to be 0.73997270274. Can you find what the numbers were?

Problem of the Week #24: April 14th , 2008

Grade 6
Two grade 6 students started a special club. They agreed to each get a new member to join their club every month. Each new member would also find a new member by the end their first month and every month after that. If the club started on the first of September how many members will it have by the end of June?

Grade 7
Joe does a lot of travel by plane. Yesterday he departed St. John’s Newfoundland at 10:15 am (Newfoundland Time) and flew to Toronto. His flight landed in Toronto at 1:15 pm (Eastern Time). How long was the flying time between departure and landing?

Grade 8
A taxi trip in the city of Ottawa is a combination of a base charge plus a distance charge.
A1 Taxi charges a base rate of $3.00 plus $1.50 for every kilometer traveled. B-Sure Taxi charges a base rate of $5.00 plus $1.00 per kilometer. If the trip from the hotel to the airport is 20 km which company is the best deal and how much do you save?

Grade 9
The legs of a right triangle measure x + 3 and x - 2 respectively. What is the area of the square on the hypotenuse?
If the area of the hypotenuse square is 53, what is the value of x?

Grade 10
A single elimination tennis tournament has 1998 participants. In every round players winning the game advance to the next round, the losers go home. A player with no opponent automatically advances to the next round. How many games is needed to find the best player?

Problem of the Week # 23: April 7th 2008

Grade 6:
Jill went to the school store and bought the following items;
4 pencils for $0.23 each, 2 pens for $0.59 each, one notebook for $0.90 and a binder for $2.50. There was not tax on these items. Jill paid with a $10 bill. How much change did she get back?

Grade 7:

Find five Prime numbers that add to make 43 for a total. Arrange them in order from smallest to largest and give the Median of the five numbers.

Grad 8:
Determine the smallest positive integer that consists of different digits, all of which are even, that is also a multiple of 9?

Grade 9:
If the mean of twenty different positive integers is 20, what would be the greatest possible value of any one of these twenty numbers?

Grade 10:
A Mathematician noticed that the numbers 992 and 578 have a special property: the sum of the digits of each number is equal to 20. ( 9 + 9 + 2 = 20 and 5 + 7 + 8 = 20)
How many other three digit numbers have this property?