Tuesday, February 25, 2020
(in North America and South America)
Wednesday, February 26, 2020
(outside of North American and South America)
©2020 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
When
The points
rectangle, as shown.
The coordinates of
Which of the following numbers is less than
In the diagram, point
What is the value of
Matilda counted the birds that visited her bird feeder yesterday. She summarized the data in the bar graph shown.
The percentage of birds that were goldfinches is
The average of the two positive integers
Roman wins a contest with a prize of $200. He gives 30% of the prize to Jackie. He then splits 15% of what remains equally between Dale and Natalia. How much money does Roman give Dale?
Shaded and unshaded squares are arranged in rows so that:
the first row consists of one unshaded square,
each row begins with an unshaded square,
the squares in each row alternate between unshaded and shaded, and
each row after the first has two more squares than the previous row.
The first 4 rows are shown.
The number of shaded squares in the 2020th row is
In the diagram, pentagon
The area of the pentagon
The sum of the first 9 positive integers is 45; in other words,
The volume of a rectangular prism is 21. Its length, width and height are all different positive integers. The sum of its length, width and height is
If
Juliana chooses three different numbers from the set
A bag contains only green, yellow and red marbles. The ratio of green marbles to yellow marbles to red marbles in the bag is
In the diagram, the circle has centre
If the area of the circle is 72
Carley made treat bags. Each bag contained exactly 1 chocolate, 1 mint, and 1 caramel. The chocolates came in boxes of 50. The mints came in boxes of 40. The caramels came in boxes of 25. Carley made no incomplete treat bags and there were no unused chocolates, mints or caramels. What is the minimum total number of boxes that Carley could have bought?
Nate is driving to see his grandmother. If he drives at a constant speed of 40 km/h, he will arrive 1 hour late. If he drives at a constant speed of 60 km/h, he will arrive 1 hour early. At what constant speed should he drive to arrive just in time?
A multiple choice test has 10 questions on it. Each question answered correctly is worth 5 points, each unanswered question is worth 1 point, and each question answered incorrectly is worth 0 points. How many of the integers between 30 and 50, inclusive, are not possible total scores?
For how many pairs
How many points
In the diagram, points
If
Ricardo wants to arrange three 1s, three 2s, two 3s, and one 4 to form nine-digit positive integers with the properties that
when reading from left to right, there is at least one 1 before the first 2, at least one 2 before the first 3, and at least one 3 before the 4, and
no digit 2 can be next to another 2.
(For example, the integer
A cube with vertices
Which of the following is closest to the length of
How many positive integers
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