Multiple Choice
Identify the choice that best
completes the statement or answers the question.
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1.
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Sokka invested $500 for 3 years. At the investment’s maturity, its value
was $578. What was the annual simple interest rate?
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2.
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How many compounding periods are there for $850 invested for 10 years at 4.75%
compounded quarterly?
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3.
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A $700 investment earns $37.63 in interest in 30 months. If the investment has
interest compounded quarterly, determine the interest rate.
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4.
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Determine the regular semi-annual payment required to have $10 000 at the end of
10 years if the investment earns 4.25% interest, compounded semi-annually.
A. | $392.07 | B. | $406.47 | C. | $373.05 | D. | $386.91 |
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5.
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This portfolio was started 5 years ago. What is the portfolio’s current
rate of return?
• Semi-annual deposits of $4000 into an account averaging 5.85%, compounded
semi-annually
• A 5-year $19 000 bond earning 6.55%, compounded monthly
A. | 22.38% | B. | 22.10% | C. | 21.90% | D. | 22.54% |
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6.
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Kareem is purchasing a new television that costs $2250. He has two different
options to finance the purchase and he wants to pay off the debt in a year by making regular monthly
payments.
Option A: Finance the purchase through the store at an interest rate of 12.1%,
compounded daily, with a $125 rebate.
Option B: Finance the purchase with a line of credit at an
interest rate of 10.2%, compounded daily.
What is the cheapest possible monthly
payment?
A. | $188.96 | B. | $198.06 | C. | $187.06 | D. | $177.08 |
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7.
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Vennie has purchased a statue from an artist in Italy. The statue costs $19 750
and the cost to safely ship the statue is $975. He wants the pay off the debt in 4 years with regular
monthly payments. He has two options to finance the purchase.
• Finance the cost through the
artist at an interest rate of 20%, compounded monthly, with the incentive that the artist will pay
the shipping cost.
• Finance the cost through the bank at an interest rate of 15.7%,
compounded monthly.
What is the total cost of the cheaper option?
A. | $20 725.00 | B. | $28 040.30 | C. | $28
847.98 | D. | $26 721.15 |
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8.
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Vennie has purchased a statue from an artist in Italy. The statue costs $19 750
and the cost to safely ship the statue is $975. He wants the pay off the debt in 4 years with regular
monthly payments. He has two options to finance the purchase.
• Finance the cost through the
artist at an interest rate of 20%, compounded monthly, with the incentive that the artist will pay
the shipping cost.
• Finance the cost through the bank at an interest rate of 15.7%,
compounded monthly.
What is the least amount of interest he can pay?
A. | $8290.30 | B. | $7315.30 | C. | $6971.15 | D. | $9097.98 |
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9.
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A company replaces its trucks after the trucks have been used for 8 years. The
company uses a depreciation rate of 35%. If after 3 years of use a truck is worth $27 000, what will
it be worth when the company replaces it?
A. | $860.34 | B. | $7414.88 | C. | $3132.78 | D. | $141.81 |
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10.
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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 statement describes
O¢?
A. | the set of even numbers of U | B. | the set of odd numbers of
U | C. | the set of odd, prime numbers of U | D. | the set of even,
prime numbers of U |
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11.
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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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12.
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Consider the following Venn diagram of foods we eat raw or cooked:  Determine n( H Ç
C).
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13.
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Consider the following two sets:
• C = {–10, –8,
–6, –4, –2, 0, 2, 4, 6, 8, 10}
• B = {–9, –6, –3,
0, 3, 6, 9, 12}
Determine n(C Ç
B).
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14.
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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 È C) \ A).
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15.
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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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16.
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The numbers 1 to 20 are written on slips of paper and put in a hat. How many
possible ways can you draw a either an odd number or a two-digit number from the hat?
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17.
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Evaluate. 
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18.
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Solve for n, where n Î I. 
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19.
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Solve for n.
n – 2P2 =
30
A. | n = 5 | B. | n = 6 | C. | n =
7 | D. | n = 8 |
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20.
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Eight quarters are flipped simultaneously. How many ways can three coins land
heads and five coins land tails?
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21.
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Solve for n.
nC1 = 30
A. | n = 6 | B. | n = 10 | C. | n =
30 | D. | n = 60 |
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22.
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Solve for r.
10Cr = 45
A. | r = 2 | B. | r = 5 | C. | r =
8 | D. | A and C |
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23.
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Euchre is played with a deck of 24 cards that is similar to a standard deck of
52 playing cards, but with only the ace, 9, 10, jack, queen, and king for all four suits.
How
many different five-card hands are there with at least three clubs?
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24.
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Dora tosses four coins. Determine the probability that at least two coins will
land as heads.
A. | 37.52% | B. | 46.30% | C. | 68.75% | D. | 74.17% |
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25.
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Lorne rolls two regular six-sided dice. Determine the odds against him rolling
an odd sum or a 4.
A. | 7 : 11 | B. | 1 : 8 | C. | 17 :
19 | D. | 5 : 7 |
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26.
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Select the events that are independent.
A. | Choosing a number between 1 and 30 with the number being a multiple of 2 and also a
multiple of 4. | B. | Drawing a heart from a standard deck of 52 playing cards and then drawing another
heart, without replacing the first card. | C. | Rolling a 2 and having a sum greater than 4
with a pair of six-sided dice, numbered 1 to 6. | D. | Rolling a 1 and rolling a 6 with a pair of
six-sided dice, numbered 1 to 6. |
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27.
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Paul has four loonies, three toonies, and five quarters in his pocket. He needs
two quarters for a parking meter. He reaches into his pocket and pulls out two coins at random.
Determine the probability that both coins are quarters.
A. | 15.15% | B. | 19.64% | C. | 26.47% | D. | 32.13% |
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28.
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There are 35 cards, numbered 1 to 35, in a box. Two cards are drawn, one at a
time, with replacement. Determine the probability of drawing two multiples of 10.
A. | 0.02% | B. | 0.36% | C. | 0.73% | D. | 0.99% |
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29.
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Select the independent events.
A. | P(A) = 0.21, P(B) = 0.57, and P(A Ç B) = 0.122 | B. | P(A) = 0.8, P(B) =
0.52, and P(A Ç B) = 0.423 | C. | P(A) =
0.74, P(B) = 0.85, and P(A Ç B) =
0.629 | D. | P(A) = 0.46, P(B) = 0.9, and P(A Ç B) = 0.416 |
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30.
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Determine the degree of this polynomial function: 
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31.
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Determine the leading coefficient of this polynomial
function:
f(x) = 4x – 23 + x
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32.
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What kind of relationship might there be between the independent and dependent
variables in this scatter plot?  A. | linear | B. | quadratic | C. | cubic
| D. | none of the above |
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33.
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The path of a shot put thrown at a track and field meet is modelled by the
quadratic function
h(d) = –0.048(d2 – 20.7d
– 26.28)
where h is the height in metres and d is the horizontal distance in
metres.
How far has the shot put travelled when it finally hits the ground?
A. | 20.9 m | B. | 21.4 m | C. | 21.9
m | D. | 22.4 m |
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34.
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Determine the equation of the cubic regression function for the data. x | 2 | 4 | 7 | 10 | 12 | 13 | 17 | 19 | y | 135 | 120 | 105 | 102 | 99 | 88 | 78 | 47 | | | | | | | | | |
A. | y = 0.05x3 – 1.5x2 –
16x + 162.5 | B. | y = –0.05x3 +
1.5x2 – 16x + 162.5 | C. | y = 0.05x3 +
1.5x2 + 16x – 162.5 | D. | y = –0.05x3 +
1.5x2 + 16x – 162.5 |
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35.
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Determine the y-intercept of the exponential function f( x)
=  .
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36.
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Determine the y-intercept of the exponential function j(x)
= a(b)x, if a > 0, b > 0.
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37.
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Which option best describes the behaviour of the exponential function
g( x) =  ? A. | increasing because a > 1 | B. | decreasing because 0 < a <
1 | C. | increasing because b > 1 | D. | decreasing because 0 < b <
1 |
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38.
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A scatter plot is drawn using a data set. 
Extrapolate the
value of y when x = 10.
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39.
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Which function will have the fastest decrease in the y-values?
A. | y = – ln x | B. | y = –2 ln
x | C. | y = –ln x | D. | y = –1.5 ln
x |
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40.
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Which exponential equation correctly represents the logarithmic equation
y = log 50?
A. | 50y = 10 | B. | 10y = 50 | C. | y50 = 10 | D. | y10 =
50 |
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41.
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Choose the best estimate for 136° in radians.
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42.
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Choose the best estimate for 280° in radians.
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43.
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Choose the best estimate for 0.1 radians in degrees.
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44.
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How many turning points does the graph of y = sin x have from
0° to 360°?
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45.
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Which of the following is not an x-intercept of the graph of y =
cos x?
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46.
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Determine the period of the following graph. 
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47.
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Select the function with the greatest period.
A. | y = 2 sin 3(x + 90°) + 5 | B. | y = 3 sin
2(x – 90°) – 3 | C. | y =  sin (x + 90°)
– 1 | D. | y = sin 0.5(x – 90°) |
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48.
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Determine the midline of the following function.
y = 0.5 sin (x
– 2)
A. | y = –2 | B. | y = 0.5 | C. | y =
0 | D. | y = 2 |
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49.
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The following data set is sinusoidal. Determine the missing value from the
table. x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | y | 1.0 | 2.5 | 4.0 | 2.5 | 1.0 | 2.5 | | | | | | | | | |
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50.
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Determine the equation of the sinusoidal regression function for the
data. x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | y | 15.4 | 14.2 | 13.1 | 12.4 | 12.0 | 12.1 | 12.6 | 13.5 | | | | | | | | | |
A. | y = 4.35 sin (0.63x + 3.13) + 15.44 | B. | y = 4.35 sin
(0.36x – 3.13) + 15.44 | C. | y = 3.45 sin (0.63x + 3.13) +
15.44 | D. | y = 3.45 sin (0.36x – 3.13) +
15.44 |
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