Wednesday, May 11, 2016
(in North America and South America)
Thursday, May 12, 2016
(outside of North American and South America)
©2015 University of Waterloo
Time: 1 hour
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
The graph shows the number of text messages received by Tanner in a given week.
On what day did Tanner receive the most text messages?
Which of the following is a multiple of 7?
Which of these fractions is larger than
A cube has exactly one face painted as shown.
The other five faces of the cube are not painted. If the cube is rolled, which of the following could be the same cube?
The measures of two angles of a triangle are
A box of fruit contains 20 apples, 10 oranges, and no other fruit. When a fruit is randomly chosen from the box, what is the probability that the fruit is an orange?
Alex pays $2.25 to take the bus. Sam pays $3.00 to take the bus. If they each take the bus 20 times, how much less would Alex pay than Sam in total?
Carrie is travelling at a constant speed of 85 km/h. If Carrie is halfway through a 510 km trip, how much longer will the trip take?
Points
The diagram shown contains octagons and squares only.
The ratio of the number of octagons to the number of squares is
In the sum shown,
The value of
A larger cube has volume 64 cm
Ahmed chooses two different items for a snack. His choices are an apple, an orange, a banana, and a granola bar. How many different pairs of snacks could he choose?
Sophia did push-ups every day for 7 days. Each day after the first day, she did 5 more push-ups than the day before. In total she did 175 push-ups. How many push-ups did Sophia do on the last day?
Each of
Triangle
The mean (average) of a set of six numbers is 10. When the number 25 is removed from the set, the mean of the remaining numbers is
Suzy’s 5 m long ribbon has shaded and unshaded sections of equal length, as shown. Points
If Suzy wants a ribbon that is
In the diagram, four different integers from 1 to 9 inclusive are placed in the four boxes in the top row.
The integers in the left two boxes are multiplied and the integers in the right two boxes are added and these results are then divided, as shown. The final result is placed in the bottom box. Which of the following integers cannot appear in the bottom box?
A 10 by 10 grid is created using 100 points, as shown.
Point
The eight vertices of a cube are randomly labelled with the integers from 1 to 8 inclusive. Judith looks at the labels of the four vertices of one of the faces of the cube. She lists these four labels in increasing order. After doing this for all six faces, she gets the following six lists:
Angie has a jar that contains 2 red marbles, 2 blue marbles, and no other marbles. She randomly draws 2 marbles from the jar. If the marbles are the same colour, she discards one and puts the other back into the jar. If the marbles are different colours, she discards the red marble and puts the blue marble back into the jar. She repeats this process a total of three times. What is the probability that the remaining marble is red?
How many of the five numbers
In the triangle shown, the first diagonal line,
The second diagonal line,