Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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For the arithmetic series (107) + (130) + (153) +  + (981), the values of
 , d, and n are A |  , d = 23, n = 39 | C |  =
–107, d = 23, n = 38 | B |  = 107, d = –23, n
= 39 | D |  =
–107, d = –23, n = 38 |
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2.
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On the first day of the month, Michael places 5¢ in a jar. The next day, he
places 7¢ in the jar. The third day, he places 9¢ in the jar, and so on for 24 days. What
amount will be in the jar at the end of this period of time?
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3.
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The eighth term in the sequence 3 515 625, 703 125, 140 625, 28 125, …
is
A | 9 | C | 45 | B |  | D | 5 |
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4.
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How many terms are in the sequence 2, 8, 32, 128, 512, …, 2 097
152?
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5.
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Determine the sum of the infinite geometric series 11 +  +  +
 +...
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6.
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The sum of an infinite geometric series is  and its common ratio is
 . What is the first term of the series?
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7.
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What is the exact cosine of ÐA?  A |  | C | 18 | B | 1 | D |  |
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8.
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The coordinates of a point P on the terminal arm of an angle are shown. What are
the exact trigonometric ratios for  ,  , and  ? 
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9.
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If  , c = 10.3 cm, and b = 10.5 cm, and DABC is acute, what is the measure of  , to the nearest tenth
of a degree? 
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10.
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Which function is not quadratic?
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11.
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Which graph represents the quadratic function with the following
characteristics:
x-intercepts at 8 and 10
maximum of 1
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12.
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The table shows the path of an extraterrestrial missile, where x is the
horizontal distance, in metres, from the launch pad and h is the height, in metres, of the
missile above the launch pad. Horizontal distance, x | Height,
h | 0 | 4.0 | 1 | 8.6 | 2 | 12.4 | 3 | 15.4 | 6 | 19.6 | 9 | 16.6 | 13 | 1.4 | | |
What quadratic equation can be used to model
the data set?
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13.
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What are the x-intercepts of the quadratic function graphed
here?  A | 2 and –4 | C | 11.2 | B | –2 and 4 | D | 12.6 |
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14.
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What are the x-intercepts of the quadratic function graphed here?  A | 4.6 | C | –2.2 | B | there are
none | D | 9.0 |
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15.
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A rectangle has dimensions  and  , where x is in
centimetres. If the area of the rectangle is 72 cm 2, what is the value of x, to the
nearest tenth of a centimetre? 
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16.
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Which is the vertex form of  ? Round coefficients to the nearest
hundredth if necessary.
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17.
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Express  in simplest form.
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18.
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Determine the value of the function  when  .
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19.
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Solve  .
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20.
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When fully simplified, ignoring non-permissible values,  is equal to
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21.
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Simplify the rational expression  .
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22.
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Express the product  in simplest form.
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23.
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Express the quotient  in simplest form.
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24.
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In a biathlon race, Murray must cycle 60 km and then run 20 km. Using  as
his cycling speed and  as his running speed, what is the correct simplified
expression for the total time needed to complete the race?
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25.
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Courtney and Kurtis are planning to travel 60 km in a car by travelling at
x kilometres per hour for the first half of the distance, and then increasing their speed by 5
km/h to finish the distance. Which is the correct simplified expression for the total time of the
trip?
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26.
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Use the Rule of 72 to estimate the
investment’s doubling time and then determine the actual doubling time.
Principal (P)
($)
| Compound Interest Rate per Annum
(%) |
Compounding
Frequency
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Term
| 24 000 | 5 | semi-annually | 20 years | | | | |
A | 14.4 years; 13.95 years | B | 14.4 years; 14.04 years | C | 14.4 years; 13.86
years | D | 14.4 years; 14.21
years |
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27.
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Use the Rule of 72 to estimate the
investment’s doubling time and then determine the actual doubling time.
Principal (P)
($)
| Compound Interest Rate per Annum
(%) |
Compounding
Frequency
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Term
| 3200 | 6.3 | daily | 9 years | | | | |
A | 11.43 years; 11.09 years | B | 11.43 years; 10.96 years | C | 11.43 years; 11.35
years | D | 11.43 years; 11.00
years |
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28.
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Determine the present value of a 10-year GIC with
an interest rate of 5.6%, compounded monthly, if the future value is $10 000.
A | $5769.74 | B | $5719.54 | C | $5662.89 | D | $5744.47 |
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29.
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This portfolio was started 6 years ago. What is the
portfolio’s current rate of return?
• Monthly deposits of $180 into an account earning
3.25%, compounded monthly
• A 6-year $1600 investment averaging 6.2%, compounded annually
A | 13.90% | B | 13.50% | C | 14.25% | D | 14.12% |
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30.
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The graph of  is
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A banquet room can seat up to 600 guests. Each rectangular table seats 11
guests and each circular table seats 6 guests.
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31.
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If r represents the number of rectangular tables and c represents
the number of circular tables, which graph represents the possible combinations of rectangular and
circular tables?
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32.
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Which number line represents the solution set to the inequality  ?
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33.
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Which graph represents the solution to the inequality  ?
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800 people will attend a concert if tickets cost $20 each. Attendance will
decrease by 30 people for each $1 increase in the price. The concert promoters need to make a minimum
of $12 800.
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34.
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What is the range of ticket prices the concert promoters can charge and still
make at least the minimum amount of money desired?
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35.
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Which graph represents the solution to the inequality  ?
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Short Answer
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Determine the sum of each arithmetic series.
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1.
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2.
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Diana is designing a triangular race course for a sailing regatta. The course is
triangular and has a 35° angle between two sides of 7 km and 6 km. What is the length of the
third side of the race course, to the nearest kilometre?
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3.
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State the x-intercept(s) of the function y =
49x2 + 42x + 9.
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4.
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Water spraying from a large fountain follows a path modelled by the function
 for h > 0, where h is the height of the water above the fountain jet and
d is the horizontal distance of the water from the fountain jet, both in metres. How far does
the water travel horizontally before splashing back into the fountain?
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5.
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Without using a calculator, arrange the following in order from least to
greatest. a)  b) 
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Determine if the function f(x) is the simplified form of g(x). If it is,
state the non-permissible values. If it is not, determine the
corrected simplified form, including the non-permissible values.
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6.
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7.
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8.
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When Minerva was born, her grandparents set up two
investments of $2000 for her. One earns 6.9%, compounded quarterly; the other earns 6.9%, compounded
daily. Minerva is now 17. Determine the current value of each investment.
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9.
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Graph the inequality  . 
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10.
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Graph the quadratic inequality  . 
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