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Enrichment Review

Total questions: 43

Worksheet time: 1hrs 28mins

Name
Class
Date
1.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
2.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
3.
If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?
a)
sine
b)
cosine
c)
tangent
d)
You can only use trig functions on right triangles.
4.
a)
A
b)
B
c)
C
d)
D
5.
a)
20
b)
5.9
c)
33
d)
42
6.
a)
18.9
b)
19.5
c)
47
d)
27.5
7.
Find the missing angle to the nearest whole number
a)
14
b)
44
c)
21
d)
16
8.
Find the missing angle to the nearest degree
a)
35
b)
55
c)
39
d)
44
9.
Which trigonometric ratio you should use to find the height(h)?
a)
sin 60 = h/1000
b)
cos 60 = h / 1000
c)
cos 60 = 1000/h
d)
tan 60 = h / 1000
10.
In the equation
(x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
11.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
12.
What is the center of the circle with this equation is (x+2)²+(y-4)²=41?
a)
(2,-5)
b)
(-2,4)
c)
(2,-4)
13.
What is the radius of the circle with this equation of  (x-5)²+(y+7)²=8?
a)
4
b)
8
c)
4√2
d)
2√2
14.
What is 11π/6 radians in degrees? 
a)
30
b)
330
c)
360
d)
 300
15.
What is 150 degrees in radians?
a)
5π/6
b)
7π/6
c)
5π/4
d)
π/6
16.
What is 60 degrees in radians? 
a)
2π/3
b)
π/3
c)
4π/3
d)
π/6
17.
What is 2π/3 radians in degrees? 
a)
150
b)
120
c)
180
d)
 30
18.
What is the surface area of the cylinder to the nearest square inch
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
19.
A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.
a)
5221.5 cm3
b)
1255.5 cm3
c)
2229.5 cm3
d)
2119.5 cm3
20.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
21.
Remove the volume of the triangle what volume is left in the cube?
a)
17.25 Units cubed
b)
216 Units cubed
c)
103.5 Units cubed
d)
112.5 Units cubed
22.
Find the Surface Area.
a)
15.6m2
b)
96m2
c)
52.3m2
d)
890m2
23.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
24.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
25.
Find the midpoint of the segment with the endpoints:(-7, -13) and (-11, -5)
a)
(-9, -9)
b)
(-3, -4)
c)
(-3, 4)
d)
(-4, -3)
26.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
27.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
28.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
29.
Evaluate:
log416
a)
2
b)
4
c)
1/2
d)
-2
30.
Change to Logarithmic Form:
122 = 144
a)
log 2 144 = 12
b)
log 12 144 = 2
c)
log 12 2 = 144
d)
log 2 12 = 144
31.
Change to Exponential Form:
log3 81 = 4
a)
813 = 4
b)
814 = 3
c)
34 = 81
d)
43 =81
32.
Solve for x.
3x = 27
a)
2
b)
4
c)
3
d)
5
33.
(5-i)(5-i)
a)
15-8i
b)
36
c)
24+10i
d)
24-10i
34.
(-3-i)(6-i)
a)
-21-7i
b)
-19-3i
c)
-15-5i
d)
-17-9i
35.
(i)(3i)
a)
-3i
b)
-3
c)
3
d)
2i
36.
(-4i)(3i)(4i)
a)
24
b)
-48i
c)
48i
d)
60
37.
a)
A
b)
B
c)
C
d)
D
38.
Find the angle sum of the interior angles of the polygon.
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
39.
What is the sum of the exterior for a nonagon?
a)
180
b)
1260
c)
360
d)
9
40.
What is the number of sides of a regular polygon that has an interior measure of 120? 
a)
5
b)
6
c)
7
d)
8
41.
An exterior angle measure of a regular polygon is 22.5o.  How many sides does the polygon have?
a)
18
b)
16
c)
20
d)
14
42.
Find the number of diagonals of a decagon.
a)
70
b)
40
c)
35
d)
80
43.
Which polygon has 14 diagonals?
a)
Hexagon
b)
Octagon
c)
Nonagon
d)
Heptagon