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Worksheets

Chapter 7 & 8 - Advanced Math

Total questions: 126

Worksheet time: 6hrs 18mins

Name
Class
Date
1.

What is the probability of rolling a 5 on a standard 6-sided number cube?

a)

1/5

b)

5/6

c)

1/6

d)

5

2.

What is the probability of picking a red marble from a bag that contains 3 red marbles and 3 green marbles?

a)

1/3

b)

1/2

c)

1

d)

3

3.

You pick a shirt from a bag containing 1 red, 1 green, 1 blue, and 1 yellow shirt. What is the probability of NOT picking blue?

a)

1/4

b)

2/4

c)

3/4

d)

0

4.

What is the probability that you will have dinner in Australia tonight?

a)

0

b)

1/4

c)

1/2

d)

1

5.

You have a bag of 3 yellow marbles and 2 red marbles. Are the probabilities uniform?

a)

Yes because they are equal

b)

No because they are equal

c)

Yes because they are NOT equal

d)

No because they are NOT equal

6.

You flip a coin. What is the probability of getting heads?

a)

0

b)

25%

c)

50%

d)

100%

7.

You spin a spinner with 4 equal sections labeled a, b, c, and d. Describe the likelihood of landing on any section.

a)

The chance of landing on each section is equal

b)

There is no chance of landing on any section

c)

There is a greater chance of landing on a vowel.

8.

Out of 80 coin flips, how many tails would you expect?

a)

1

b)

25

c)

40

d)

80

9.

Which probability is false?

a)

Flipping a coin and getting heads = 1/2

b)

Picking a letter in the alphabet randomly = 1/26

c)

Picking a diamond in a deck of cards = 1/3

10.

If you flipped heads 3oo times out of 1000 flips, is this more or less than you expected?

a)

More because it's greater than 1/2

b)

Less because it's less than 1/2

c)

More because it's less than 1/2

d)

Less because it's greater than 1/2

11.

Theoretical Probability is ____

a)

data from our experiment

b)

our prediction

12.

Experimental Probability is ______

a)

data from our experiment

b)

our prediction

13.

What is the theoretical probability of rolling 5 on a fair 6-sided cube?

a)

16\frac{1}{6}

b)

56\frac{5}{6}

c)

12\frac{1}{2}

d)

0

14.

Ifa cube is rolled 30 times and lands on 3-six times, what is the experimental probability it will land on 3 the next time it is rolled?

a)

0

b)

12\frac{1}{2}

c)

16\frac{1}{6}

d)

15\frac{1}{5}

15.

A spInner has the letters A, B, C, D, E, F, G, H. What is the theoretical probability of landing on an F?

a)

14\frac{1}{4}

b)

18\frac{1}{8}

c)

16\frac{1}{6}

d)

12\frac{1}{2}

16.

A basket has 3 red balls, 2 blue balls, and 5 green balls. If a ball is picked at random, what is the probability that the next ball will be red or blue?

a)

310\frac{3}{10}

b)

12\frac{1}{2}

c)

15\frac{1}{5}

d)

16\frac{1}{6}

17.

McKayla flipped a coin 150 times. How many times could McKayla expect the coin to land on tails?

a)

25

b)

50

c)

75

d)

100

18.

What is the theoretical probability of the spinner landing on yellow?

a)

1/4

b)

1/2

c)

1/3

d)

2/3

19.
Find the theoretical probability of NOT landing on yellow if you spin the spinner.
a)
1/8
b)
7/8
c)
1
d)
7
20.
Find the experimental probability:
Roll dice:  1, 3, 3, 4, 4
P(1) = 
a)
3/5
b)
1/6
c)
2/5
d)
1/5
21.

A cell phone company expects that every 2 out of 25 cell phones will have some form of defect. At this rate, how many cell phones out of 500 will be expected to have a defect?

a)

35

b)

40

c)

4

d)

12

22.

Jon made 15 out of 35 free throws.

What is his experimental probability as a fraction?


**SIMPLIFY THE FRACTION!**

a)

3/7

b)

15/35

c)

1/2

d)

5/7

23.

Every 3 out of 12 vehicles on a highway is a truck. How many trucks are expected to be on a highway with 3,600 vehicles?

a)

300

b)

600

c)

900

d)

1,200

24.

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)

1/6

c)

5/7

d)

25/26

25.
Scarlett selects a card at random from a deck that contains 18 red, 12 yellow, and 20 blue cards. What is the probability that she does not select a red card?
a)
13/25
b)
16/25
c)
18/25
d)
24/25
26.

A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.

a)

4/121

b)

8/121

c)

3/121

d)

6/121

27.

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

28.

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

a)

1/2

b)

1/4

c)

1/6

d)

1/8

29.

What is the probability of rolling a 3 and spinning a red?

a)

1/6

b)

1/4

c)

1/10

d)

1/24

30.

The sample space tree diagram for a team of three students is shown.  What is the probability that the team would consist of at least 2 girls?

a)

½

b)

c)

¾

d)

31.

What is the probability of drawing a blue color and a number 4?

a)

2/5

b)

1/6

c)

3/15

d)

1/15

32.

a)

1/4

b)

1/8

c)

1/2

d)

1/6

33.
a)
1/8
b)
1/2
c)
1/24
d)
1/16
34.
a)
1/48
b)
1/6
c)
1/8
d)
1/24
35.

The spinner is spun two times. Determine the probability of getting a red green combo.

a)

1/9

b)

1/10

c)

2/9

d)

1/12

36.

What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?

a)

5/6

b)

1/36

c)

1/3

d)

1/6

37.

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

38.

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)

1/2

b)

1/12

c)

1/6

d)

2/8

39.

Diamond is playing a game. In the game she has to spin a spinner that is divided into 4 equal sections of green, red, blue, and yellow. What is the probability that on her first spin she will land on green and then red on her second spin?

a)

1/8

b)

1/16

c)

1/4

d)

1/2

40.

If one card is drawn from the deck, find P(Queen or Eight)  

a)

.1538

b)

.1546

c)

.1529

d)

.1567

41.

Forty seven percent of first year college students enrolled in 2005 had an average grade of A in high school compared to 20% of first year college students in 1970. Choose 6 first year college students in 2005. Find the probability that all had an average grade of A in high school.

a)

.010779

b)

.010764

c)

.010758

d)

.010784

42.

Forty seven percent of first year college students enrolled in 2005 had an average grade of A in high school compared to 20% of first year college students in 1970. Choose 6 first year college students in 2005. Find the probability that none had an average grade of A in high school.

a)

.02214

b)

.02215

c)

.02216

d)

.02217

43.

If one card is drawn from the deck, find P(Queen or ♥)

a)

.30789

b)

.30736

c)

.30755

d)

.30769

44.

If two cards are drawn from the deck in succession with replacement, P(J and J)   

a)

.0078

b)

.0059

c)

.0045

d)

.0086

45.

If two cards are drawn from the deck in succession with replacement, P(♣ and ♣)

a)

.0617

b)

.0637

c)

.0625

d)

.0646

46.
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
47.
A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
48.
A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?
a)
30
b)
17
c)
90
d)
270
49.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
50.
How many total outfit options are represented?
a)
12
b)
22
c)
3
51.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

52.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)
b)
c)
d)
53.

Use the fundamental counting principle to find the total number of outcomes (or outfits) if you have a suitcase with 5 different shirts, 3 types of jackets, 2 different pants, and 3 types of shoes.

a)

13, because 5 + 3 + 2 + 3 = 13

b)

120, because 5 x 4 x 3 x 2 =120

c)

90, because 5 x 3 x 2 x 3 = 90

d)

52, because (5 + 3 + 2 + 3) x 4 = 52

54.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
55.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
56.
Find the total number of outcomes when choosing between plain, BBQ, sour cream & onion, or salt & vinegar potato chips, rippled or regular, in a small or large bag.
a)
16
b)
24
c)
10
d)
8
57.
Which method of finding the total outcomes of an event allows you to see all possible outcomes?
a)
fundamental counting principle
b)
experimental probability
c)
theoretical probability
d)
tree diagram
58.
Tree Diagram
a)
A written list of all possible outcomes
b)
A description of all possible outcomes
c)
A drawing with branches of all possible outcomes
59.

Probability is defined as...

a)

the set of all possible outcomes.

b)

the likelihood that an event will happen.

c)

the fundamental counting principle.

60.

When rolling 1 die once, spinning a spinner once, and flipping a coin once, how many combinations are possible?

a)

13

b)

60

c)

32

d)

16

61.

If the spinner above is spun and the coin is flipped, create a tree diagram to represent the probability of getting a blue AND a heads. Which answer represents the probability?

a)

1/6

b)

4/12

c)

1/4

d)

1/8

62.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
63.
Which shows the sample space for flipping two coins? 
H = heads, T = tails
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
HH, TT, TT, HH
64.
During lunch, you have a choice of 1 burger, 1 side and 1 drink. Which multiplication sentence shows the total number of possible combinations?
a)
4 x 2
b)
4 + 2 + 4
c)
4 + 2
d)
4 x 2 x 4
65.

What is the sample space for this spinner?

a)

1

b)

8

c)

1, 2, 3, 4, 5, 6, 7, 8

d)

50/50

66.

What is the sample space for this spinner?

a)

1, 1, 1, 1, 2, 3, 4, 4

b)

1, 2, 3, 4, 5, 6, 7, 8

c)

1, 2, 3, 4

d)

8

67.
The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?
a)
7 because 2 + 3 + 2
b)
12 because 2 x 3 x 2
68.
If you roll two dice, how many possible outcomes?
a)
360
b)
1
c)
36
d)
12
69.
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
70.
A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
71.
At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
72.
What is the range of the data?
a)
4
b)
8
c)
6
d)
2
73.

How many students have a shoe size bigger than 8?

a)

2

b)

3

c)

4

d)

9

74.

What is the mode for this data set? Remember the mode is the most common or most frequent data.

a)

55

b)

60

c)

70

d)

75

75.

How many data items are on this Dot Plot?

a)

4

b)

5

c)

15

d)

10

76.

Find the center (median) value of this dot plot.

(a)  

77.

How many students read no books (zero) last summer?

a)

6

b)

1

c)

4

d)

3

78.

How many people have 4 or more pets?

a)

8

b)

3

c)

6

d)

4

79.

The MEAN of all of the data points above is...

a)

2 pets

b)

3.2 pets

c)

4.3 pets

d)

2.8 pets

80.
How many students were greater than or equal to 60 inches tall?
a)
21
b)
11
c)
17
d)
6
81.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
82.
How many cities have temperatures between 70 degrees and 99 degrees?
a)
44
b)
34
c)
26
d)
62
83.
What is an interval?
a)
A single number
b)
A range of numbers
c)
A percentage
d)
A total amount
84.
21. How many students are represented by the histogram?  
a)
Cannot be determined
b)
9
c)
31
d)
35
85.
How many students scored between a 86 and a 90?
a)
1
b)
3
c)
6
d)
10
86.
How many students are between 48 and 51 inches tall?
a)
14
b)
8
c)
2
d)
0
87.
How many students are between 60 and 63 inches tall?
a)
3
b)
0
c)
12
d)
7
88.
How many people watched more than 25 hours of TV last week?
a)
0
b)
10
c)
38
d)
42
89.
Which interval has 4 students?
a)
56-59
b)
60-63
c)
60-67
d)
48-51
90.
How many men had finishing times between 60 and 64 minutes?
a)
9
b)
0
c)
7
d)
5
91.

How many students sent between 10 and 19 text?

a)

25

b)

22

c)

15

d)

45

92.

How many students sent more than 29 text messages?

a)

45

b)

25

c)

95

d)

199

93.

Which interval contained the fewest scores?

a)

0-9

b)

50-59

c)

both 0-9 and 50-59

d)

10-19

94.

How many vehicles get less than 17 miles per gallon?

a)

20

b)

15

c)

14

d)

25

95.

How many vehicles get no more than 32 miles per gallon?

a)

50

b)

48

c)

42

d)

36

96.

Which graph represents histogram?

a)
b)
c)
d)
97.
Elliot says almost everyone arrived at the party after 10:00 P.M., but Nancy thinks most people came earlier. When did a majority of the people arrive? 
a)
7:00-7:59 P.M.
b)
8:00–8:59 P.M.
c)
9:00–9:59 P.M.
d)
10:00–10:59 P.M. 
98.
This is a histogram
a)
true
b)
false
99.
What type of graph is this?
a)
Bar Graph
b)
Histogram
c)
Line Plot
100.

What is the Mode of this data?

a)

96

b)

97

c)

68

d)

802

101.

How many data items are on the plot?

a)

16

b)

21

c)

22

d)

100

102.

What is the Mode of this data?

a)

74

b)

56888

c)

68

d)

45

103.

While doing a project for P. E. class, Ling researched the number of athletes competing in an international sporting event.


How many countries have exactly 32 athletes?

a)

4

b)

3

c)

6

d)

1

104.

The employee at the department store counted the number of ties on each tie rack.

How many racks have between 30 and 40 ties?

a)

4

b)

2

c)

7

d)

5

105.

A Technical Assistance Manager monitored his customers' wait times.


What is the shortest wait time?

a)

30 minutes

b)

48 minutes

c)

31 minutes

d)

71 minutes

106.

A machine dispensed red gumdrops into bags of various sizes.


How many bags had at least 15 red gumdrops?

a)

33

b)

23

c)

25

d)

27

107.

A veterinarian weighed all the dogs that visited his office last month.


How many dogs weighed exactly 22 pounds?

a)

2

b)

0

c)

1

d)

3

108.
What is the range of the data shown in the stem and leaf plot?
a)
40
b)
56
c)
136
d)
96
109.
In how many games did the team score more than 20 points?
a)
8
b)
7
c)
10
d)
9
110.

What is the median of this data?

a)

53

b)

55.5

c)

54

d)

57

111.

What is the mean football score?

a)

35 points

b)

17 points

c)

270 points

d)

18 points

112.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
113.
What is the median?
a)
62
b)
58
c)
66
d)
60
114.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
115.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
116.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
117.

What is the interquartile range (IQR)?

a)

20

b)

25

c)

30

d)

50

118.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
119.
Which of the following best describes the process of finding the interquartile range for a set of data?
a)
Add the biggest and smallest numbers.
b)
Place the numbers in order from least to greatest and find the middle.
c)
Find the difference between the maximum and the minimum.
d)
Subtract Q1 from Q3.
120.

What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

121.

What percentage of the data is between 40 and 90?

a)

25 %

b)

50%

c)

75%

d)

100%

122.

What percent of the data is between 30 and 35 on the number line?

a)

25%

b)

50%

c)

75%

d)

100%

123.

If 60 values were used for the data, about how many data values are greater than the 1st quartile?

a)

15

b)

30

c)

45

d)

60

124.

The mode of the data is found at which number?

a)

0

b)

10

c)

3 & 5

d)

6 & 7

125.
What is the MEDIAN of this data
a)
95
b)
90
c)
100
d)
40
126.
What is the RANGE of this data
a)
40
b)
95
c)
90
d)
100