Multiple Choice
Identify the choice that best
completes the statement or answers the question.
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1.
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Given the following situation:
• the universal set U = {positive
integers less than 20}
• X = {4, 5, 6, 7, 8}
• P = {prime numbers of
U}
• O = {odd numbers of U}
Which is the complement of
P?
A. | the even numbers of U | B. | the universal set excluding the set of
X | C. | the positive integers greater than 20 | D. | the non-prime numbers of
U |
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2.
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Consider the following Venn diagram of foods we eat raw or cooked:  Determine n( H È
C).
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3.
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A summer camp offers canoeing, rock climbing, and archery. The following Venn
diagram shows the types of activities the campers like.  Use the diagram to
determine n(( R Ç A) \ C).
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4.
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Which sentence is written as a conditional statement?
A. | You can fool some of the people some of the time but you can’t fool
me. | B. | If you are a farmer, then you live in the country. | C. | If you can’t
beat them, join them. | D. | You get wet if you stand in the
rain. |
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5.
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Which statement is true?
A. | If the converse of a conditional statement is true, then the contrapositive of the
statement is also true, and vice versa. | B. | If the inverse of a conditional statement is
true, then the converse of the statement is also true, and vice versa. | C. | If a conditional
statement is true, then its inverse is true, and vice versa. | D. | If a conditional
statement is true, then its converse is true, and vice versa. |
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6.
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What is true about the conditional statement below?
“If tomorrow is
Monday, then today is Sunday.”
A. | The statement and contrapositive are true but the inverse and converse are
false. | B. | The inverse and contrapositive are true but the statement and converse are
false. | C. | The converse and inverse are true but statement and contrapositive are
false. | D. | The statement, converse, inverse, and contrapositive are all true.
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7.
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Which statement is the contrapositive of the conditional statement
below?
“If a bird has wings, then the bird can fly.”
A. | If a bird does not have wings, then the bird cannot fly. | B. | If the bird cannot
fly, then the bird does not have wings. | C. | If a bird can fly, then the bird has
wings. | D. | If a bird does not have wings, then the bird can fly. |
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8.
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A combination lock opens with the correct three-digit code. Each wheel rotates
through the digits 1 to 8. How many different three-digit codes are possible?
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9.
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How many different routes are there from A to B, if you only travel south or
east?
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10.
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Which of the following is equivalent to  ?
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11.
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How many ways can the 6 starting positions on a hockey team (1 goalie, 2
defense, 3 forwards) be filled from a team of 1 goalie, 4 defense, and 8 forwards?
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12.
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The weather forecaster says that there is a 50% probability of showers tomorrow.
Determine the odds against showers.
A. | 1 : 1 | B. | 5 : 10 | C. | 2 :
1 | D. | 1 : 2 |
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13.
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A credit card company randomly generates temporary three-digit pass codes for
cardholders. The pass code will consist of three different even digits. Determine the total number of
pass codes using three different even digits.
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14.
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Rino has six loonies, four toonies, and two quarters in his pocket. He needs two
loonies for a parking meter. He reaches into his pocket and pulls out two coins at random. Determine
the probability that both coins are loonies.
A. | 16.3% | B. | 18.4% | C. | 22.7% | D. | 25.9% |
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15.
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A three-colour spinner is spun, and a die is rolled. Determine the probability
that you spin blue and roll a 4.
A. | 1.24% | B. | 5.56% | C. | 7.17% | D. | 9.82% |
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Short Answer
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1.
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Write the inverse of the conditional statement below. Verify the inverse or
disprove it with a counterexample.
“If the height and radius of a cone and cylinder are the
same, then the cone is one third the volume of the cylinder.”
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2.
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Evaluate. 
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3.
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The numbers 10 to 18 are written on identical slips of paper and put in a hat.
How many ways can 7 numbers be drawn simultaneously?
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Problem
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1.
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Consuela lives in Edmonton and misses her mother’s Venezuelan
cooking. She will be happy with any restaurant serving Central American or South American
food. She also wants her dinner to cost less than $20. Write a set or search instructions
Consuela could use to find a restaurant she likes. Use searching tools to narrow down the number of
hits.
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2.
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There are 12 boys and 15 girls in an English classroom. A group of 5 students is
needed to read from a play. If there are 2 roles for boys, 2 roles for girls, and a narrator who
could be a boy or a girl, how many different groups of 5 students are possible? Show your
work.
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3.
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A hockey team is lining up in a row for a group photo. There team has 1 goalie,
4 defense, and 7 forwards. The photographer wants the defense on one side of the goalie and the
forwards on the other side. How many ways can the team stand in a row for this pose? Show your
work.
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