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Milestones Review Probability, Inferences, Geometry

Total questions: 105

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
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
2.

A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the probability of choosing a number with a 5 in it and a month starting with the letter “M”?

a)

7/50

b)

8/125

c)

1/50

d)

4/75

3.

The two spinners above are spun. What is the probability of getting a multiple of 3 (for example: 3, 6, 9 etc), then the letter Z?

a)

3/20

b)

3/16

c)

1/8

d)

11/40

4.

Jacob's piggy bank has 18 quarters, 20 dimes, 24 nickels, and 43 pennies. He chooses a coin, puts it back in the bank, then chooses another. What is the probability that he chose a dime then a nickel?

a)

9/52

b)

32/735

c)

44/105

d)

11/26

5.
If I flip a coin 10 times, how many times should I get heads?
a)
1
b)
10
c)
3
d)
5
6.
Based on the chart, what is the experimental probability of pulling a green marble?
a)
1/8
b)
8/25
c)
8/100
d)
7/8
7.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
8.
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
9.
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
10.
a)
1/2
b)
1/8
c)
1/3
d)
1/12
11.
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 green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
12.

A bag of marbles has red, blue, yellow and green marbles. The P(red) is 50%, P(yellow) is 0.12, and the P(blue) is 1/5. What is the P(green)?

a)

82%

b)

18%

c)

12%

d)

64%

13.

A bag of marbles has red, blue, yellow and green marbles. The P(red) is 50%, P(yellow) is 0.12, and the P(blue) is 1/5. What is the probability of choosing a purple marble?

a)

certain

b)

likely

c)

impossible

d)

unlikely

14.

You have a 8 shirts, 5 pants, and 6 pairs of shoes. How many different outfit combinations can you create?

a)

40

b)

48

c)

230

d)

240

15.

A bag of marbles has many different colors. P(red) is 1/8. How would you describe the likelihood?

a)

impossible

b)

unlikely

c)

equally likely

d)

certain

16.

What is the likelihood if the probability is 1/3

a)

impossible

b)

unlikely

c)

likely

d)

certain

e)

equally likely

17.

What is the likelihood if the probability is 0.78

a)

impossible

b)

equally likely

c)

likely

d)

certain

e)

unlikely

18.

What is the likelihood if the probability is 1

a)

impossible

b)

likely

c)

equally likely

d)

certain

e)

unlikely

19.

What is the likelihood if the probability is 0%

a)

impossible

b)

unlikely

c)

equally likely

d)

likely

e)

certain

20.
 Lynn picked a jelly bean out of a bag without looking. The bag contained 6 pink, 10 purple, 4 red, 3 green and 1 orange. What is the probability that she chose a pink or green jelly bean?
a)
3/8
b)
1/2
c)
1/4
d)
1/8
21.
If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8, how many different ice-cream sundaes can you make?
a)
58
b)
96
c)
20
d)
192
22.

What is the theoretical probability of the spinner landing on a 5?

a)
b)
c)
d)
23.

A coin is tossed 18 times. It lands on heads 12 times. What is the experimental probability of the coin landing on tails? reduce the fraction!

a)
b)
c)
24.

Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?

a)

1

b)

2

c)

3

d)

4

e)

5

25.

The arrow is spun 15 times and landed 4 times on the section labeled Q. Which statement is true?

a)
b)
c)
d)
26.

What is the probability of spinning red?

a)
b)
c)
d)
27.

Shannon has a bag of jelly beans. She removed one jelly bean, recording the color, and then replaced it. She repeated the process 44 times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?

a)

11/44

b)

9/22

c)

1/4

d)

1/3

28.
P(Not K)
a)
7/10
b)
0
c)
9/10
d)
1
29.
What do we call Theoretical Probability?
a)
What Actually Happens
b)
What Should Happen
30.
What do we call Experimental Probability?
a)
What Actually Happens
b)
What Should Happen
31.
 Josh is rolling dice in a probability experiment. If Josh wants the experimental probability to be as close as possible to the theoretical probability, which plan should he use?
a)
Roll 4 times
b)
Roll 40 times
c)
Roll 75 times
d)
Roll 140 times
32.
Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 600 times. Which result is most likely?
a)
Cassie will roll a 1 about 100 times
b)
Cassie will roll a 1 exactly 100 times
c)
Cassie will roll an even number about 400 times
d)
Cassie will roll an even number exactly 400 times
33.

In a bag of marbles there are 42 red, 74 blue, 66 green and 118 yellow marbles. These 300 marbles are mixed up. What is the probability of getting the most unlikely marble choice?

a)

10%

b)

12%

c)

16%

d)

14%

34.

If you choose from the following M & M colors, what is the probability that you choose blue? **Remember to simplify**

5 green

6 yellow

8 blue

7 brown

a)

8/18

b)

4/13

c)

8/25

d)

1/3

35.

Dylan made 15 out of 35 free throws.

What's his experimental probability as a simplified fraction?

a)

3/7

b)

15/35

c)

1/2

d)

5/7

36.

What is the experimental probability of rolling a 6?

a)

715\frac{7}{15}

b)

12\frac{1}{2}

c)

815\frac{8}{15}

d)

1330\frac{13}{30}

37.

What is the experimental probability of the coin landing on heads?

a)

1324\frac{13}{24}

b)

12\frac{1}{2}

c)

1124\frac{11}{24}

d)

712\frac{7}{12}

38.

What is the Theoretical Probability of NOT landing on red?

a)
25%
b)
50%
c)
65%
d)
66.7%
39.

The spinner has 4 sections of equal size labeled T, V, W, and X. The arrow of this spinner was spun 10 times and landed 6 times on the section labeled T.

Which statement best describes the experimental probability and theoretical probability of the arrow landing on the section labeled T?

a)

The experimental probability is 1/4, and the theoretical probability is 3/5.

b)

The experimental probability is 3/5, and the theoretical probability is 1/4.

c)

The experimental probability is 3/5, and the theoretical probability is 3/5.

d)

The experimental probability is 1/4, and the theoretical probability is 1/4.

40.

Joe is spinning a spinner with four equal sections labeled red, blue, green and yellow. If he wants the experimental probability of spinning green to be similar to the theoretical probability of spinning green, what must happen?

a)

He should spin the spinner a large number of trials

b)

He should make more outcomes.

c)

He only needs to spin the spinner a small number of trials

d)

He should take away some of the outcomes

41.

There are 20 marbles in the jar.

What is the probability of choosing a marble that is NOT green from the jar?


CHECK ALL THAT APPLY

a)

10/20

b)

5%

c)

10%

d)

0.5

42.

Melissa rolled a number cube that has sides labeled 1 to 6. What is the probability that she rolled a 2 or a 3?

a)

1/6

b)

1/3

c)

1/2

d)

3/4

43.
These 12 shapes are put into a bag.  If you reach into the bag 60 times, replacing the shape after each time, predict how many times you would pull out a circle.
a)
15 times
b)
20 times
c)
25 times
d)
30 times
44.

If I spin 35 times, how many times would I land on yellow? *Hint: Set up a proportion.

(a)  

45.

Predict how many times someone would land on a number less than or equal to 5 if they rolled a die 90 times

(a)  

46.
How many total outfit options are represented?
a)
12
b)
22
c)
3
47.
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 shows the complete set of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
48.

A native flowering plant has several varieties. The color of the flower can be red, yellow, or white. The stems can be long or short and the leaves can be thorny, smooth, or velvety. How many variations can there be?

a)

8

b)

18

c)

21

d)

27

49.
100 second graders were asked to do a book report about one of these four zoo animals.  The number of students who chose each animal is shown in the table.  If 250 second graders had to choose of of the four animals, predict how many would choose to write about a giraffe.
a)
60 students
b)
50 students
c)
40 students
d)
30 students
50.
a)
23
b)
25
c)
35
d)
50
51.
a)
10820
b)
10920
c)
11820
d)
11920
52.
a)
20
b)
34
c)
84
d)
350
53.

Ms. Carson wants to know what the students at NMS's favorite ice-cream flavor is. She asks her students what their favorite flavor is. What is the population?

a)

Students at NMS

b)

Mrs. Carson's students

c)

All staff members at NMS

d)

All 7th grade students

54.

Ms. Carson wants to know what the students at NMS's favorite ice-cream flavor is. She asks her students what their favorite flavor is. What is the sample?

a)

Students at NMS

b)

Mrs. Carson's students

c)

Staff members at NMS

d)

7th grade students

55.

1.  Carlos wants to know the favorite sport of people at his school so he asks his baseball team. What type of sample would this be?

a)
Biased
b)
Unbiased
56.

You want to know your town’s favorite fast-food restaurant. You randomly ask 30 people their preference as they leave a McDonald’s restaurant.

a)

biased

b)

unbiased

57.
4. A company makes DVDs and randomly selects 25 from 1500 to test them to see if they work.
a)
Biased
b)
Unbiased
58.
Which data set shows a greater spread?
a)
Chess Club
b)
Checkers Club
c)
They have the same spread.
d)
You cannot tell from the box plots. 
59.
Which car club has the higher median?
a)
Cruisers
b)
Car Hops
60.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
61.

Which car has the widest range of jumping distance?

a)

Car A

b)

Car B

c)

Both the same

62.

Which has a greater interquartile range?

a)

Airplane A

b)

Airplane B

c)

Both the same

63.
a)

The range of the data for Fun Fit is less than the range of the data for Greg’s Gym.

b)

The median for Greg’s Gym is less than the median for Fun Fit.

c)

The minimum attendance for Fun Fit is less than the minimum attendance for Greg’s Gym.

d)

The interquartile range for Greg’s Gym is greater than the interquartile range for Fun Fit.

64.
a)

The minimum temperature for Reybold is lower than the minimum temperature for Picktown.

b)

The median for Reybold and Picktown are equal.

c)

The first quartile for Reybold is greater than the first quartile for Picktown.

d)

Picktown has a greater interquartile range than Reybold.

65.

The box plots shown are...

a)

symmetric

b)

not symmetric

66.

Use the box-and-whisker plots to determine if this statement is true. The interquartile range (IQR) of the men’s ages is greater than the interquartile range of the women’s ages.

a)

True

b)

False

67.

The box-and-whisker plots show the points scored in each Super Bowl by the AFC and NFC. About how many points higher is the third quartile for the NFC than the third quartile for the AFC?

a)

5 points

b)

7 points

c)

10 points

d)

15 points

68.

The double dot plots show the average wait times in minutes for two popular rides at an amusement park. Compare the measures of center and variation, which ride typically has a longer wait time?

a)

No inference can be made from the graph.

b)

Topsy Turvy

c)

The wait times are the same for both rides.

d)

Rocket Blast

69.

Find the median from the list of numbers:

60, 58, 52, 48, 67

a)

58

b)

59

c)

60

d)

118

70.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
71.
What is the mode in this set of numbers:
7, 14, 20, 3, 7, 14, 2, 14, 7
a)
7
b)
20
c)
7 & 14
d)
none of the above
72.
What is the range?
8, 10, 60, 3, 5, 13, 12, 40, 8
a)
55
b)
8
c)
57
d)
17.7
73.
Dr. Dre is a dentist. He needs to report on the average number of cavities that his patients have.
1,0,1,5,6,3,4
a)
3.33
b)
2.85
c)
3
d)
3.5
74.
What is the median of this data set?
20 , 1 , 7 , 19 , 11 , 19
a)
11
b)
15
c)
19
d)
20
75.

Find the median of the data.


20, 30, 45, 90, 60, 45, 5, 10, 30, 45, 15, 25

a)

35

b)

30

c)

no median

d)

45

76.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
77.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
78.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
79.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
80.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
81.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
82.
The angles are adjacent supplementary angles. Find the value of x.
a)
42 
b)
180 
c)
126 
d)
60
83.
Solve for x
a)
20
b)
25
c)
120
d)
180
84.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
85.
Find the measure of the missing angle.
a)
145
b)
55
c)
35
d)
45
86.

Find x

a)

40 degrees

b)

21 degrees

c)

42 degrees

d)

39 degrees

87.

Find the measure of angle A.

a)

75o

b)

60o

c)

30o

d)

38o

88.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
89.
Does a triangle with these side lengths exist?
20, 10, 9
a)
Yes
b)
No
90.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
91.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
92.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

10

93.

find the diameter of the circle

a)

14 m

b)

7 m

c)

14

d)

3.5 m

94.

What is the area of this circle?

a)

15393.8 mi2

b)

1248.12 mi2

c)

5930.12 mi2

d)

3848.45 mi2

95.
Find the circumference of the circle
a)
87.82
b)
153.86
c)
43.96
d)
307.72
96.

What is the area of this circle?

a)

1385.44 ft2

b)

2142.12 ft2

c)

5541.77 ft2

d)

1289.12 ft2

97.
Find the area.
a)
126 ft2
b)
39 ft2
c)
156 ft2
d)
80 ft2
98.
Find the area of the composite figure
a)
40
b)
9
c)
49
d)
61
99.
 What is the area of the figure?
a)
48 ft2
b)
216 ft2
c)
65 ft2
d)
128 ft2
100.
Find the volume of the figure?
a)
4003 cm3
b)
336 cm3
c)
36 cm3
d)
412 cm3
101.
Find the volume of the figure?
a)
1100 in3
b)
1600 in3
c)
1200 in3
d)
1500 in3
102.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
103.

Find the volume of the triangular prism.

a)

84 m3

b)

1848 m3

c)

3696 m3

d)

1232 m3

104.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

160 cm3

c)

42 cm3

d)

40 cm³

105.

What is the Volume of a Cube with side lengths of 7 meters?

a)

49 cubic meters

b)

343 cubic meters

c)

28 cubic meters

d)

42 cubic meters

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