Tuesday, February 28, 2017
(in North America and South America)
Wednesday, March 1, 2017
(outside of North American and South America)
©2017 University of Waterloo
Time: 60 minutes
Calculating devices are allowed, provided that they do not have any of the following features: (i) internet access, (ii) the ability to communicate with other devices, (iii) information previously stored by students (such as formulas, programs, notes, etc.), (iv) a computer algebra system, (v) dynamic geometry software.
The value of
In the diagram, how many
In the diagram, the ratio of the number of shaded triangles to the number of unshaded triangles is
Which of the following is closest in value to 7?
Kamal turned his computer on at 2 p.m. on Friday. He left his computer on for exactly 30 consecutive hours. At what time did he turn his computer off?
At six different times on Canada Day in 2016, the number of people at the Pascal Zoo were counted. The following graph shows these results.
During which of the following periods did the number of people at the zoo have the largest increase?
If
Three integers from the list
Wally makes a whole pizza and shares it with three friends. Jovin takes
Which of the following expressions is equal to an odd integer for every integer
Jeff and Ursula each run 30 km. Ursula runs at a constant speed of 10 km/h. Jeff also runs at a constant speed. If Jeff’s time to complete the 30 km is 1 hour less than Ursula’s time to complete the 30 km, at what speed does Jeff run?
A small square is drawn inside a larger square as shown.
The area of the shaded region and the area of the unshaded region are each
Janet picked a number, added 7 to the number, multiplied the sum by 2, and then subtracted 4. If the final result was 28, what number did Janet pick?
Tobias downloads
In the diagram, the side lengths of four squares are shown. The area of the fifth square is
What is the value of
A circular spinner is divided into six regions, as shown. Four regions each have a central angle of
The arrow is spun once. What is the probability that the arrow stops on a shaded region?
Igor is shorter than Jie. Faye is taller than Goa. Jie is taller than Faye. Han is shorter than Goa. Who is the tallest?
Given two different numbers on a number line, the number to the right is greater than the number to the left. The positions of
Which of the following is a possible value of
In the diagram,
The measure of
A solid cube is made of white plastic and has dimensions
Each of the numbers
Jen calculates the average of the numbers in the first three circles, the average of the numbers in the middle three circles, and the average of the numbers in the last three circles. These three averages are equal. What number is placed in the shaded circle?
In the diagram,
If
An Anderson number is a positive integer
A town has 2017 houses. Of these 2017 houses, 1820 have a dog, 1651 have a cat, and 1182 have a turtle. If
Sam thinks of a 5-digit number. Sam’s friend Sally tries to guess his number. Sam writes the number of matching digits beside each of Sally’s guesses. A digit is considered “matching” when it is the correct digit in the correct position.
Guess | Number of Matching Digits |
---|---|
51545 | 2 |
21531 | 1 |
71794 | 0 |
59135 | 1 |
58342 | 2 |
37348 | 2 |
71744 | 1 |
What is the sum of all of the possibilities for Sam’s number?
Thank you for writing the Pascal Contest!
Encourage your teacher to register you for the Fryer Contest which will be written in April.
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