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?