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Math 3 Honors Semester 1 Final Review

Total questions: 58

Worksheet time: 1hrs 25mins

Name
Class
Date
1.
Who's the good dog?
a)
Charlie
b)
Remi
c)
Jasper
d)
Roscoe
2.

What really grinds Mr. House's Gears?

a)

When people put clothes on dogs

b)

When Students Line Up At The Door

c)

When people have "Unappreciated Swag"

d)

When people use Self-Checkouts at the store

3.

Where is Homework Hangouts (Finals Edition)?

a)

The ILC

b)

The Commons

c)

Wherever the party is!

d)

The Cafeteria

4.

What did my true love get for me on the 7th day of Christmas?

a)

7 maids a milking.

b)

7 ladies a dancing

c)

7 lords a leaping

d)

7 swans a swimming

e)

7 geese a laying

5.
Divide and simplify.
a)
1 / 1
b)
6/5
c)
66 / 55
d)
11 / 121
6.
What fraction of the shape is NOT shaded?
a)
1/10
b)
7/10
c)
3/10
7.
Simplify
3√2 - 3√18
a)
 -4√8
b)
4√9-6√3
c)
5√12
d)
-6√2
8.
cos(300°)
a)
0
b)
1/2
c)
√3/2
d)
1
9.
Which quadrant is -5π/6 in?
a)
I
b)
II
c)
III
d)
IV
10.
What is the reference angle for 240 degrees?
a)
60 degrees
b)
30 degrees
c)
45 degrees
d)
210 degrees
11.
Find the reference angle for an angle measuring -310⁰
a)
50⁰
b)
-50⁰
c)
20⁰
d)
40⁰
12.

sec2(x) - tan2(x)

a)

tan(x)

b)

1

c)

-sin(x)

d)

-1

13.

1 + tan2(β)

a)

cos2(β)

b)

-cos2(β)

c)

-sec2(β)

d)

sec2(β)

14.
a)

tan x

b)

sin x

c)

cos x

d)

cos2x

15.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
16.
Please select the correct solution
a)
csc x
b)
sec x
c)
cot x
d)
tan x
17.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
18.

Find the missing side.

a)

15.9 in.

b)

22.8 in.

c)

19.2 in.

d)

521.1 in.

19.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
20.
What is 4π/3 radians in degrees?
 
a)
120
b)
240
c)
210
d)
270
21.
The number of wavelengths that pass a point each per second is:
a)
frequency
b)
period
c)
longitudinal 
d)
transverse wave 
22.
a)
y = sin x
b)
y = - sin x
c)
y = cos x
d)
y = - cos x
23.
a)
y = sin x
b)
y = - sin x
c)
y = cos x
d)
y = - cos x
24.
a)
y = sin x
b)
y = - sin x
c)
y = cos x
d)
y = - cos x
25.
a)
y = sin x
b)
y = - sin x
c)
y = cos x
d)
y = - cos x
26.
What is the period of
y=cos(3x - π) - 5?
a)
π/3
b)
π/6
c)
2π/3
d)
2π/6
27.
What is the range of
y= -3sin(x)-2?
a)
[-2,2]
b)
[-5,1]
c)
[-4,2]
d)
[-3,3]
28.

y = -4 cos (5x) + 2 has an amplitude of

a)

4

b)

5

c)

2

d)

-4

29.
What is the period?
a)
π/4
b)

2π/3

c)
3π/4
d)
π
30.

Both Pairs of opposite sides are parallel. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Isosceles Trapezoid

31.

All four sides are congruent (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Kite

32.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
33.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
34.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
35.
Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)
a)
y = 2/3x - 3
b)
y = 2/3x - 11/3
c)
y = 2/3x - 4
d)
y = 2/3x - 5/3
36.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
37.
What shape is the base? What is the area of the base (B)?
a)
Rectangle; 60in2
b)
Triangle; 12 in2
c)
Rectangle; 32 in2
d)
Triangle; 6 in2
38.
Find the volume of the cylinder.
a)
4239
b)
1696
c)
1130
d)
565
39.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
40.
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone. 
a)
50.24 ft3
b)
150.72 ft3
c)
not here
d)
192.65 ft3
41.
What is the RANGE of the function?
a)
(-∞, +∞)
b)
(-∞, 4]
c)
(-∞, 4)
d)
[0, 4]
42.
What is f(-1)?
a)
6
b)
-2
c)
sqrt(2)
d)
DNE
43.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
44.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x  if x < 4;   -x+1  if x ≥ 4
b)
f(x) = { x  if x ≤ 4;  -x+1  if x > 4
c)
f(x) = { -x+1  if x < 4;  x  if x ≥ 4
d)
f(x) = { -x+1  if x ≤ 4;  x if x > 4
45.
If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?
a)
f(x - 3)
b)
f(x + 3)
c)
f(x) + 3
d)
f(x) - 3
46.
The original graph is f(x). The new graph is vertically stretched by a factor of 2. What is the equation for the new graph?
a)
2f(x)
b)
f(2x)
47.
The original graph is f(x). The new graph has been reflected across the y-axis and moved 6 to the right. Which of the following represents the new graph?
a)
f(x - 6)
b)
-f(x + 6)
c)
f(-x - 6)
d)
f(-x + 6)
48.
Describe the transformation FROM dotted TO solid.
a)
f(x + 4)
b)
f(x - 4)
c)
f(x) + 4
d)
f(x) - 4
49.
What's the y-intercept of y = 3x2- 6x + 4
a)
(4,0)
b)
(-4,0)
c)
(0,-4)
d)
(0,4)
50.
Is this point a max or min?
a)
max
b)
min
51.

Convert π/3 radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

52.

For what angles are sine and cosine the same?

a)

0o

b)

45o and 1350

c)

45o and 2250

d)

45o and 3150

53.

Tangent is...

a)

a. Opposite/Adjacent

b)

b. sine/cosine

c)

c. neither a or b

d)

d. both a and b

54.
What are the coordinates of 60° on the unit circle?
a)
(0, 1)
b)
(1/2, √3/2)
c)
(√3/2, 1/2)
d)
(√2/2, 1/2)
55.
What is the area of the shaded region?
a)
50.27 units2
b)
3015.93 units2
c)
8.38 units2
d)
4.19 units2
56.
Find the area of the shaded space.
a)
113.10 units squared
b)
150.80 units squared
c)
157.82 units squared
d)
10.92 units squared
57.
Find the arc length of arc AB.
a)
12.57 units
b)
75.40 units
c)
24 units
d)
125.66 units
58.

What day(s) is the Final for this class?

a)

Tuesday

b)

Wednesday

c)

Thursday

d)

Friday

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