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Worksheets

CH 3 Review

Total questions: 55

Worksheet time: 2hrs 41mins

Name
Class
Date
1.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
2.
What is the length of the side opposite ∠X?
a)
16
b)
30
c)
34
3.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
4.
What is the length of the side adjacent to ∠A?
a)
30
b)
40
c)
50
5.
What is the length of the side opposite ∠Z?
a)
16
b)
30
c)
34
6.
What is the length of the side opposite ∠A?
a)
30
b)
40
c)
50
7.
What is the length of the side adjacent to ∠C?
a)
30
b)
40
c)
50
8.
What is the length of the side opposite ∠Y?
a)
7
b)
24
c)
25
9.
What is the length of the side adjacent to ∠X?
a)
7
b)
24
c)
25
10.

What is the hypotenuse of this triangle?

a)

a

b)

b

c)

c

11.

The opposite side is

a)

across from the reference angle.

b)

next to the reference angle.

c)

across from the right angle.

12.

An adjacent side and the hypotenuse are referring to the same side?

a)

True

b)

False

13.

The adjacent side is

a)

across from the reference angle.

b)

attached to the reference angle.

c)

across from the right angle.

14.

The hypotenuse is

a)

across from the reference angle.

b)

attached to the reference angle.

c)

always across from the right angle.

15.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
16.
a)
32/40
b)
40/24
c)
32/24
d)
24/32
17.
a)
35/21
b)
21/28
c)
35/28
d)
28/21
18.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
19.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
20.
Find x
a)
20
b)
5.9
c)
33
d)
42
21.
Find x. 
a)
46.1
b)
4.90
c)
16.4
d)
26.9
22.
A bag has 3 red, 5 blue, and 2 yellow pieces of candy. What is the probability of  drawing a blue piece of candy?
a)
1/2
b)
1/10
c)
3/10
d)
1/3
23.

You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get a yellow gummy bear and then a red gummy bear? REDUCE your answer if needed.

a)

The probability is 3/11

b)

The probability is 1/11

c)

The probability is 3/132

d)

The probability is 3/12

24.
An ice cream parlor has 6 different flavors. They have 4 toppings and 2 types of cones. How many possible ice cream combinations are there?
a)
6
b)
48
c)
12
d)
24
25.
A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red or black)
a)
8/15
b)
15/225
c)
5/15
d)
3/15
26.
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?
a)
2/5
b)
1/21
c)
4/25
d)
1/7
27.
There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?
a)
1/3
b)
2/9
c)
1/6
d)
1/4
28.
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?
a)
9/182
b)
5/182
c)
2/91
d)
10/91
29.
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?
a)
9/182
b)
5/182
c)
2/91
d)
10/91
30.

Theoretically, what is the probability of rolling a SUM of two with a pair of dice?

a)

1/6

b)

2/12

c)

1/36

d)

1/18

31.
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
32.

You roll a six sided die. What is the probability of rolling an even number three times in a row? P (even and even and even)?

a)

3/100

b)

1/2

c)

1/6

d)

1/8

33.
What is the probability of drawing a Jack from a deck of cards, putting it aside, and then drawing another Jack?
a)
1/221
b)
1/68
c)
Other
34.
What is the probability of rolling a 3 on a 6-sided number cube and then NOT rolling a 3 on a 6-sided number cube?
a)
5/36
b)
1/6
c)
Other
35.
a)
1/4
b)
1/8
c)
1/2
d)
1/6
36.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
37.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which is the complete set of possibilities of combinations?
a)
TW, CW, PW
b)
TW, TM, TW, CW, PW
c)
TW, TM, CW, CM, PW, PM
38.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
39.
What is the experimental probability of landing on orange or red?
a)
2/5
b)
3/8
c)
3
d)
10 times
40.
You flip a coin 20 times and record the results. Is this experimental or theoretical probability?
a)
Experimental
b)
Theoretical
41.
You create a table of all the possible die rolls from two dice. Is this experimental or theoretical probability?
a)
Experimental
b)
Theoretical
42.

In a 52 card deck of cards. What is P(black card)?

a)

1/4

b)

13/52

c)

4/52

d)

1/13

e)

1/2

43.

In a 52 card deck of cards. What is P(black or king)?

a)

30/52

b)

28/52

c)

15/52

d)

11/52

44.

In a 52 card deck of cards. What is P(black or king)? Is this question a union or intersection?

a)

Union

b)

Intersection

45.

In a 52 card deck of cards. What is P(black and king)?

a)

30/52

b)

4/52

c)

26/52

d)

1/26

46.

In a 52 card deck of cards. What is P(black and king)? Is this question a union or intersection?

a)

Union

b)

Intersection

47.

In a 52 card deck of cards. What is P(face card or heart or ace)?

a)

29/52

b)

26/52

c)

25/52

d)

11/52

48.

In a 52 card deck of cards. What is P(face card or heart or ace)? Is this question a union or intersection?

a)

Union

b)

Intersection

49.

In a 52 card deck of cards. What is P(2 and red)? Is this question a union or intersection?

a)

Union

b)

Intersection

50.

Harvey always chooses purple. What is the P(Harvey gets to move)?

a)

1/4

b)

1/3

c)

1/12

d)

7/12

51.

Is the probability that Harvey moves his marker calculated from a union or an intersection of events?

a)

union

b)

intersection

52.

In this game, which color is the best choice?

a)

Yellow

b)

Green

c)

Purple

d)

Blue

53.

If both spinners are spun, what is the probability of not moving because the two colors are not the same?

a)

2/3

b)

1/6

c)

1/12

d)

1/8

54.

What is the expected value of this spinner?

a)

$0.50

b)

- $0.50

c)

$5

d)

- $5

55.

If you pay $5 to play this game, is it fair?

a)

YES, it is fair. The expected value is equal to the cost of the game.

b)

NO, it is not fair. The expected value is NOT equal to the cost of the game.