EXAM INFO ~ MCR3U1
Date of Exam:
Period 1 ~ Tuesday, January 26th, 2016
Time of Exam:
8:30–10:30am (2 hours)
Place of Exam:
room 133
Please Bring:
textbook, pencil, eraser, scientific calculator, ruler
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EXAM BREAKDOWN:
PART A – Knowledge and Understanding (36 marks)
PART B – Applications (36 marks)
PART C – Communication (24 marks)
PART D – Thinking (24 marks)
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A.
TEXTBOOK REVIEW
Equivalent Algebraic Expressions
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


p.95 #4
p.113 #4, 5
p.122 #6–8
p.129 #7, 9
p.132 #7, 8
Quadratic Functions







p.145–146 #1, 3, 5
p.153–154 #4, 8
p.160–161 #3, 7
p.167–168 #1–7
p.177 #1, 2
p.192 #4
p.198 #2, 4
Sinusoidal Functions




p.310 #5, 8
p.384 #5, 7a–e
p.398–399 #1, 5a
p.371 #4
Sequences and Series






B.
p.424–425 #8, 13
p.430 #6
p.441 (read & complete part A)
p.452 #2, 7
p.460 #6
p.466 #4acf, 10
REVIEW ALL TESTS AND QUIZZES.
Introduction to Functions




p.11 #7
p.47 #4
p.70–71 #1, 6, 8, 9, 11, 12
p.76 #4, 8
Trigonometric Ratios



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p.280–281 #4, 6–8
p.286–287 #3, 7
p.299–300 #1, 3, 8
p.318 #4
p.326 #3
p.332 #3
Exponential Functions


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

p.221–222 #1, 2, 4, 5
p.235–237 #1, 4, 9
p.239 #10, 12
p.252–253 #4, 5, 9
p.261–262 #3, 4, 9
ADDITIONAL EXAM REVIEW QUESTIONS
1.
Determine the maximum or minimum value and when it occurs:
a)
𝑓 (𝑥) = −3(𝑥 + 6)(𝑥 − 2)
b)
𝑔(𝑥) = 2𝑥 2 + 10𝑥 + 8
2.
Lemon Motors has been selling an average of 60 new cars per month at $800 over the
factory price. They are considering an increase in this markup. A marketing survey
indicates that for every $20 increase, they will sell one less car each month. Determine
what their new markup should be if they want to make $49280 profit per month.
3.
A playground, which measures 60m by 40m, is to be doubled in area by extending each
side by an equal amount. Determine the width of the extension.
4.
One side of a right triangle is 2cm shorter than the hypotenuse and 7 cm longer than the
third side. Determine the side lengths.
5.
Evaluate. Leave answer as an exact value where appropriate.
a)
e)
6.
cos 155
cot 150
b) sin 214
f) cos 225
c) tan 315
g) sin 300
d) cos 240
h) sec 330
Determine all values of , to the nearest degree, if 00    3600:
a) sin  =
1
√2
d) cot  = –
1
√3
b) sec  = – √2
c) tan  = √3
e) csc  = – √2
f) cos  =
√3
2
ANSWERS
1.a) max of 48 when x = –2
b) min of −
17
2
when x = −
5
2
2. $1120 (sell 44 cars) or $880 (sell 56 cars)
3. 10m
4. 8cm, 15cm, 17cm
5.a) – 0.9063
e) −√3
6.a)  = 450, 1350
d)  = 1200, 3000
b) – 0.5592
f) −
√2
2
c) –1
g) −
√3
2
b)  = 1350, 2250
e)  = 2250, 3150
1
d) − 2
h)
2√3
3
c)  = 600, 2400
f)  = 300, 3300