2005 CEMC Gauss (Grade 7) Problems
Contents
Part A: Each correct answer is worth 5 points
Problem 1
The value of is
Problem 2
The value of is
Problem 3
Contestants on "Gauss Reality TV" are rated by an applause metre. In the diagram, the arrow for one of the contestants is pointing to a rating closest to:
Problem 4
Twelve million added to twelve thousand equals
Problem 5
The largest number in the set {} is
Problem 6
At a class party, each student randomly selects a wrapped prize from a bag. The prizes include books and calculators. There are prizes in the bag. Meghan is the first to choose a prize. If the probability of Meghan choosing a book for her prize is , how many books are in the bag?
Problem 7
Karen has just been chosen the new “Math Idol”. A total of votes were cast and Karen received of them. How many people voted for her?
Problem 8
In the diagram, what is the measure of in degrees?
Problem 9
A movie theatre has eleven rows of seats. The rows are numbered from to . Odd-numbered rows have seats and even-numbered rows have seats. How many seats are there in the theatre?
Problem 10
In relation to Smiths Falls, Ontario, the local time in St. John’s, Newfoundland, is minutes ahead, and the local time in Whitehorse, Yukon, is hours behind. When the local time in St. John’s is 5:36 p.m., the local time in Whitehorse is
1:06 p.m. 2:36 p.m. 4:06 p.m. 12:06 p.m. 10:06 p.m.
Part B: Each correct answer is worth 6 points
Problem 11
The temperature range on a given day is the difference between the daily high and the daily low temperatures. On the graph shown, which day has the greatest temperature range?
Problem 12
A bamboo plant grows at a rate of cm per day. On May 1st at noon it was tall. Approximately how tall, in metres, was it on May 8th at noon?
Problem 13
In the diagram, the length of is twice the length of . What is the area of the triangle ?
Problem 14
The numbers on opposite sides of a die total . What is the sum of the numbers on the unseen faces of the two dice shown?
Problem 15
In the diagram, the area of rectangle is . If , what is the area of quadrilateral ?