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WorksheetsProbability and Trig
Total questions: 46
Worksheet time: 3hrs 43mins
Name
Class
Date
1.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
2.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?
a)
2/7
b)
5/49
c)
5/7
d)
10/49
3.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
a)
1/4
b)
4/13
c)
8/25
d)
1/3
4.
Ryan has 4 rap songs, 11 pop songs, 8 country songs, and 2 rock songs. What is the probability of Ryan picking a rock song or a pop song?
a)
2/25
b)
13/25
c)
11/25
d)
22/25
5.
Suppose there are 200 students in the cafeteria during lunch. How many students would you expect to choose pizza as their favorite cafeteria food?
a)
90
b)
104
c)
18
d)
72
6.
If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6?
a)
50
b)
100
c)
150
d)
75
7.
If you spin the spinner 90 times, how many times should the number 3 be selected?
a)
9
b)
15
c)
16
d)
30
8.
Bailey tossed a coin 10 times. The results were 7 heads and 3 tails.
What is the experimental probability of tossing tails?
a)
1/3
b)
3/10
c)
3/7
d)
1/2
9.
Use the spinner to find the probability.
P(not D) =
a)
5
b)
5/6
c)
0.63
d)
1/6
10.
A veterinarian has the animals listed in the table below staying at the hospital. Find the probabilities of what animal the veterinarian will care for next:
P(cat or reptile) =
a)
11/24
b)
5/11
c)
1/2
d)
10/22
11.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll?
a)
2/3
b)
5/36
c)
1/9
d)
1/36
12.
Sam is fishing in a new catch and release pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?
a)
1/40
b)
1/8
c)
3/124
d)
5/16
13.
Cesar's piggy bank has 8 quarters, 2 dimes, 4 nickels, and 6 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel?
a)
1/50
b)
2/95
c)
1/10
d)
4/19
14.
A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?
a)
9/49
b)
4/125
c)
1/10
d)
1/30
15.
A cookie jar has 3 dozen chocolate chip, 1 dozen peanut butter, and 2 dozen oatmeal raisin cookies. If Megan chooses a cookie, does not replace it, then chooses another, what is the probability that she chooses a peanut butter then a chocolate chip cookie?
a)
2/3
b)
1/10
c)
6/71
d)
11/72
16.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
17.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
18.
Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple.
a)
3/5
b)
3/4
c)
3/20
d)
2/5
19.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?
a)
1/12
b)
1/4
c)
1/8
d)
1/2
20.
A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange?
a)
9/16
b)
3/4
c)
9/144
d)
5/16
21.
Find the value of tan X.
a)
3/4
b)
4/3
c)
5/3
d)
3/5
22.
Find the value of cos C.
a)
29/20
b)
21/20
c)
20/29
d)
20/21
23.
Find the value of sin A.
a)
3/4
b)
5/4
c)
5/3
d)
4/5
24.
Which ratio would be used to solve for x?
a)
cosine
b)
tangent
c)
sine
d)
adjacent
25.
Which ratio would you use to solve for x?
a)
sine
b)
cosine
c)
hypotenuse
d)
tangent
26.
Which equation would you use to solve for x?
a)
sin 62 = 10/x
b)
tan 62 = 10/x
c)
tan 62 = x/10
d)
cos 10 = x/62
27.
Which equation would you use to solve for x?
a)
sin 58 = x/19
b)
cos 58 = x/19
c)
sin 58 = 19/x
d)
cos 58 = 19/x
28.
What side is x?
a)
opposite
b)
hypotenuse
c)
adjacent
d)
cosine
29.
What side is x?
a)
adjacent
b)
opposite
c)
sine
d)
hypotenuse
30.
Which represents the value of x?
a)
19*cos 55
b)
19/sin 55
c)
19*sin 55
d)
19/cos 55
31.
What is the correct equation?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
32.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
33.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
34.
Solve for the missing distance.
a)
18.9
b)
19.5
c)
47.3
d)
27.5
35.
Find the value of tan A.
a)
17/8
b)
17/15
c)
8/17
d)
8/15
36.
Find the value of cos X.
a)
3/5
b)
3/4
c)
4/5
d)
4/3
37.
Find the value of sin Z.
a)
17/8
b)
8/15
c)
17/15
d)
15/17
38.
Find the value of cos X.
a)
3/4
b)
4/5
c)
5/4
d)
4/3
39.
Which trig ratio would you use to solve for x?
a)
tangent
b)
cosine
c)
radians
d)
sine
40.
What would be the next step to solve for x?
a)
Multiply both sides by cos 75
b)
Divide both sides by cos 75
c)
Divide both sides by 75
d)
Multiply both sides by 11
41.
Which of the following represents the value of x?
a)
10/sin 47
b)
10*tan 47
c)
10*sin 47
d)
10/tan 47
42.
Find the mistake
a)
tan 68 should be cos 68
b)
there is no mistake
c)
they should have divided
d)
x/14 should be 14/x
43.
Which trig ratio would you use to solve for x?
a)
sine
b)
tangent
c)
cosine
d)
hypotenuse
44.
What side does x represent?
a)
hypotenuse
b)
right angle
c)
adjacent
d)
opposite
45.
What is the measure of the angle adjacent to x?
a)
46
b)
44
c)
90
d)
24
46.
Which equation would be used to solve for x?
a)
tan 44 = x/15
b)
cos 44 = x/15
c)
cos 44 = 15/x
d)
tan 44 = 15/x
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