Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
O is the centre of this circle and point Q is a point of tangency. Determine
the value of c. If necessary, give your answer to the nearest tenth. 
|
|
|
2.
|
O is the centre of this circle and point A is a point of tangency. Determine
the value of m. If necessary, give your answer to the nearest tenth. 
|
|
|
3.
|
O is the centre of this circle and point Q is a point of tangency. Determine
the value of t. If necessary, give your answer to the nearest tenth. 
|
|
|
4.
|
O is the centre of the circle. Determine the value of b°.
|
|
|
5.
|
O is the centre of the circle. Determine the value of x to the nearest
tenth, if necessary. 
|
|
|
6.
|
O is the centre of this circle. Determine the value of
m°. 
|
|
|
7.
|
O is the centre of this circle. Determine the value of
g°. 
|
|
|
8.
|
Adam boards the last car of the train because he’s noticed in the past
that the last car always has available seats.
Is his decision based on theoretical probability,
experimental probability, or subjective judgment?
a. | Subjective judgment | b. | Experimental probability | c. | Theoretical
probability | d. | A combination of theoretical probability and subjective
judgment |
|
|
|
9.
|
In late November Anita surveyed every student in her class to find out their
favourite Christmas carols. Which of the following might be a problem? i) Timing
ii)
Use of Language
iii) Cultural
sensitivity
iv) Cost
|
|
|
10.
|
Marissa asked everyone in her class what chocolate bar they liked best.
Before her next test, she gave her teacher the chocolate bar he’d said he liked best.
What was a problem with Marissa’s survey? i) Use of
Language
ii) Cost
iii)
Ethics
iv) Timing
|
|
|
11.
|
A city council wants to know if residents think there is a need for more library
facilities. What is the population they are interested in surveying? i) Students who use the
libraries
ii) City residents
iii)
People who use the libraries
iv) People who work at the
libraries
|
|
|
12.
|
Drew wanted to know the proportion of grade 9 students in his school who travel
to school using public transportation. Which population is he interested in surveying? i) All students in his
school
ii) All grade 9 students in his
school
iii) All students who use public transportation to get to
school
iv) All grade 9 students who use public transportation to get
to school
|
|
|
13.
|
Which of the following data collection methods would provide the most accurate
information about grade 9 students’ lunch choices at a school? i) Survey a sample of students who eat lunch
in the cafeteria
ii) Survey all the students who eat lunch in the
cafeteria
iii) Survey a sample of all students in grade 9 in the
school
iv) Survey all grade 9 students in the school
|
|
|
14.
|
A fashion designer offered to teach a class on clothing design for students in
grades 11 and 12. Which data collection method would provide the most accurate information about
how likely students would be to take the class? i) Survey a sample of grade 11 and 12
students
ii) Survey a sample of grade 11 and 12
girls
iii) Survey all grade 12
students
iv) Survey all grade 11 and 12 girls
|
|
|
15.
|
A town council wants to know the public’s opinion about increasing taxes
to pay for more housing for the homeless. They hire people to conduct door-to-door interviews in
randomly selected areas of town. Which sampling method did the town council use?
a. | Self-selected sampling | c. | Systematic sampling | b. | Simple random sampling | d. | Cluster
sampling |
|
Short Answer
|
|
|
16.
|
O is the centre of this circle. Point T is a point of tangency. What is the
value of e°? 
|
|
|
17.
|
Point O is the centre of this circle. Without solving for s, sketch and
label the lengths of any extra line segments you need to draw to determine the value of
s. 
|
|
|
18.
|
Label the major arc CD and the minor arc CD of this circle. 
|
|
|
19.
|
Point O is the centre of this circle. Determine the values of y°
and z°. 
|
|
|
20.
|
Seven out of the last ten times that Antonia took the bus home, she had to
stand.
She calculated her chances of having to stand all the way home on the bus today are 70%.
State an assumption Antonia could be making.
|
|
|
21.
|
Andrew read that far more people are injured in car accidents than in minivan
incidents, so he plans to purchase a minivan rather than a car.
What assumption is Andrew
making?
|
|
|
22.
|
A report states that 45% of accidents involving cyclists were caused by
cyclists. Explain how a student could use this data: a) to enroll in a cycling safety
program
b) not to enroll in a cycling safety program
|
|
|
23.
|
Juanita wanted to know the difference in the average heights of 15-year-old
males and females in her town. What population should she survey?
|
|
|
24.
|
A food company wants to know what people aged 15 to 25 eat for breakfast.
They interview a random sample of high school, college, and university students.
What is a
potential problem with this sampling method?
|
|
|
25.
|
A vice-principal would like to organize a field trip for all grade 9 students.
To gauge interest in the trip, he plans to have 30 randomly selected grade 9 students fill out a
questionnaire. Will the selected sample represent the population?
|
Problem
|
|
|
26.
|
A circle has diameter 32 cm. How far from the centre of the circle, to the
nearest centimetre, is a chord 20 cm long?
|
|
|
27.
|
Determine the values of x° and y°. What can you say
about line segment AD? 
|
|
|
28.
|
Sheila is planning a shooting drill for a soccer team. She wants the soccer
players to practice shooting on a net with a shooting angle of 20°. She has sketched this
diagram. Complete Sheila’s sketch to show the curve or line along which she should have the
players stand so their shooting angle is 20°. 
|
|
|
29.
|
A city receives two proposals relating to cycling: Proposal 1: Increase the number of bicycle lanes and cycling pathways in the
city
Proposal 2: Cyclists should register their bikes and pay an annual fee
How do you
think each of the following groups will respond to these proposals? a) People who cycle to work on a regular
basis
b) People who only mountain bike on the trails outside of
town
c) Pedestrians
d)
Motorists
|
|
|
30.
|
In each case, do you think the conclusion is valid? Justify your
answers. a) The owner of a gift store
receives a shipment of 100 figurines. Each of the first five figurines he inspects are broken. He
calls the supplier to complain that all of the figurines are
damaged.
b) Rachel surveyed 15 students to find out if they were
vegetarians. All of the students said they were not vegetarians. Rachel concluded that no one in the
school was a vegetarian.
|