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Worksheets

This is Milestones!

Total questions: 147

Worksheet time: 7hrs 16mins

Name
Class
Date
1.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
2.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
3.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
4.
What is the area of a circle?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
5.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
6.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
7.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
8.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
9.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r2

d)

C = π·d

10.
Name the shape
a)
Circle
b)
Sphere
c)
Cone
d)
Cylinder
11.
Name the shape
a)
Cylinder
b)
Cube
c)
Rectangular Pryamid
d)
Sphere
12.
What shape will the angled cross-section of a rectangular pyramid be?
a)
Triangle
b)
Rectangle
c)
Trapezoid
d)
Square
13.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
14.
What shape will the horizontal cross-section of a cone be?
a)
Dome
b)
Circle
c)
Pyramid
d)
Triangle
15.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
16.
Describe the cross section.
a)
rectangle
b)
square
c)
oval
d)
circle
17.
Describe the cross section.
a)
trapezoid
b)
triangle
c)
rectangle
d)
square
18.
Describe the cross section.
a)
rectangle
b)
trapezoid
c)
oval
d)
parallelogram
19.
Describe the cross section.
a)
rectangle
b)
square
c)
parallelogram
d)
circle
20.
Describe the cross section.
a)
triangle
b)
rectangle
c)
oval
d)
trapezoid
21.
Is it possible for a cross section of a cylinder to have a triangular shape?
a)
yes
b)
no
c)
sometimes
22.
What cross-section is formed by slicing through a cube perpendicular to any face?
a)
rectangle
b)
square
c)
parallelogram
d)
triangle
23.
What cross-section is formed by slicing through a cube parallel to any face?
a)
rectangle
b)
parallelogram
c)
square
d)
triangle
24.

In a triangle, what is the sum of the interior angles?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

25.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
26.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
27.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
28.

If angle A is 45 degrees, angle B is 45 degrees, and line AB is 5 cm, how many triangles can you create?

a)

Only 1 unique triangle

b)

Multiple triangles

c)

No triangles

29.

Given three angle measures, how many triangles can you create?

a)

One unique triangle

b)

Multiple triangles

c)

No triangles

30.

In a triangle, if angle A is 45 degrees, angle C is 45 degrees, and line AB is 5 cm, how many triangles can you create?

a)

one unique triangle

b)

multiple triangles

c)

no triangles

31.

How many triangles can be created with the side lengths of 3 cm, 4cm, and 5 cm?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

32.

How many triangles can be created when you know two angles and 1 included side?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

33.

How many triangles exist with the following angle measures?

100°, 100°, 50°

a)

No triangle exists with the given angle measures.

b)

More than one triangle exists with the given angle measures.

c)

Exactly one unique triangle exists with the given angle measures.

34.

How many triangles can be created when you know two sides and 1 included angle?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

35.

How many triangles can be created when you know all three angles?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

36.

How many triangles can be created when you know two angles and one non-included side?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

37.

How many triangles can be created when you know two sides and one non-included angle?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

38.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
39.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
40.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
41.
Which polygon has only 3 sides?
a)
square
b)
parallelogram
c)
triangle
d)
rectangle
42.
Area is always in ____ units.
a)
square
b)
cubic
c)
quadratic
d)
linear
43.
How do you find the AREA of a TRIANGLE?
a)
Length x Width
b)
Base x Height divided by 2
c)
1/3 (Length x width)
d)
Base x Height
44.

What is the formula for the area of a triangle? (choose 3 answers)

a)
b)

Area = (base x Height) /2

c)

Area = (base x Height)

d)

Area = (base x height) divided by 2

45.
What is the area of the triangle shown?
a)
44.4 mm²
b)
8.5 mm²
c)
8.88 mm²
d)
17.76 mm²
46.
Find the area of the triangle pictured.  
a)
22.5 cm2
b)
45 cm2
c)
15.75 cm2
d)
31.5 cm2
47.
Find the area:
a)
40 yd
b)
40 yd2
c)
80 yd2
d)
18 yd2
48.
When multiplying or dividing a NEGATIVE and NEGATIVE number your answer will be...
a)
Positive
b)
Negative
c)
Depends on the largest number
d)
None of the above
49.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
d)
None of the above
50.

Sharon wants to make cookies for her class bake sale. She found a recipe that calls for 2/3 cups of flour for each batch of cookies. How many batches can she make using 12 cups of flour?

a)

12

b)

18

c)

6

d)

4

51.
The price of Quiktrip stock dropped a total of $372.33 over a 7 day period.  The stock dropped the same amount each day.  What amount did they lose each day? (hint : amount should be negative)
a)
-$53.19
b)
-$5.32
c)
$53.19
d)
-$365.33
52.
On Tuesday in Washington D.C. the temperature at 8am was  -8 degrees.  At 1pm, it was 27 degrees.  By how many degrees did the temperature change from morning to evening?
a)
21
b)
-35
c)
35
d)
19
53.

What is the sum?
45+15\frac{4}{5}+\frac{1}{5}  

a)

510\frac{5}{10}

b)

12\frac{1}{2}

c)

1

d)

45\frac{4}{5}

54.

What is the product?

4/5 × -1/5

a)

- 5/10

b)

4/10

c)

- 4/25

d)

5/25

55.
What is the quotient?
3/4 ÷ 3/8
a)
1/2
b)
1/4
c)
0
d)
2
56.

What is the difference?

9/14 - 3/7

a)

3/14

b)

- 6/7

c)

- 3/14

d)

6/14

57.

Ella played a math game and had five cards shown. Her score was the sum of the numbers on these five cards. What was Ella's score?

a)

3

b)

23

c)

-5

d)

10

58.

Julie walks 10 dogs a week and gets paid $4.25 for each dog. How much money does she make in one week?

a)

$42.50

b)

$442.50

c)

$425.00

d)

$3.50

59.
Mr. Smith has an account balance of -$275.78.  He deposits $539.20 into his account.  What is Mr. Smith's account balance now?
a)
$813.98
b)
$263.42
c)
$539.78
d)
$345.98
60.
If a plant grows 1/4 cm every day for 21 days, what is the total amount of growth?
a)
82 cm
b)
25 cm
c)
17 1/4 cm
d)
5 1/4 cm
61.

A jug of orange juice contains 40.75 fluid ounces. It is shared equally among 5 people. How many ounces of orange juice does each person receive?

a)

81.45 fl. oz.

b)

203.75 fl. oz.

c)

20.75 fl. oz.

d)

8.15 fl. oz.

62.

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?

a)

–90

b)

–78

c)

–66

d)

–12

63.
Solve 
  -5t + 9 = 24
a)
t = -3
b)
t = 3
c)
t = 6
d)
t = 12
64.
Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?
a)
4 boxes
b)
5 boxes
c)
6 boxes
d)
7 boxes
65.
Solve  12 - 6y = 24
a)
2
b)
-2
c)
3
d)
-3
66.
3x + 2(4x - 4) = 3
a)
x = 22
b)
x = -22
c)
x = 1
d)
x = -1
67.
3x + 10(1 – 7x)
a)
13x – 7
b)
–67x + 10
c)
–4x + 10
d)
–73x + 10
68.
–2n + 5(–3 + 3n)
a)
–15 + n
b)
17n – 15
c)
13n – 15
d)
–17n + 3
69.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
70.
Evaluate the expression.    Let     c = 3     d = 2
3c + 7d
a)
27
b)
21
c)
29
d)
23
71.
What is the first step to solve this equation:
11 - 3x = 44
a)
Subtract 11 from both sides
b)
Divide  - 3 on both sides
c)
Add 3 to both sides
d)
Add 11 to both sides
72.
½ = -⅛j
a)
4
b)
8
c)
-4
73.
Which expression represents the area?
a)
6x + 3
b)
8x + 12
c)
8x2 + 12
d)
8x + 3
74.
-6(8x-7)=522
a)
x=-10
b)
x=109
c)
x=10
d)
x=4
75.
Which expression represents the perimeter of the triangle?
a)
4x + 4y + 5
b)
6xy + 7
c)
6x + 2y + 5
d)
10xy + x + 2y
76.
Which expression represents the area of the rectangle?
a)
12x - 2
b)
12x - 1
c)
8x - 2
d)
36x2 - 2
77.
Evaluate the expression:
15f - 60  if f = 5
a)
15
b)
95
c)
30
d)
-45
78.
The table below shows the number of miles Tony ran and the calories he burned per mile.  Which number completes the table?
a)
160
b)
180
c)
200
d)
240
79.
Demetrius is taking a 150-mile trip by car. If he drives for 2 hours with an average speed of 55 miles per hour, how many miles will he still need to drive to complete his trip?
a)
40
b)
95
c)
110
d)
300
80.
Coach Becker needs to buy new basketballs for gym class. This table shows the total cost of different numbers of basketballs. What is the cost per basketball?
a)
$5
b)
$9
c)
$13
d)
$27
81.
Write an equation for this situation.
a)
k=19.25x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
82.
The table below shows the number of miles Tony ran and the calories he burned per mile.  Which number completes the table?
a)
160
b)
180
c)
200
d)
240
83.
Demetrius is taking a 150-mile trip by car. If he drives for 2 hours with an average speed of 55 miles per hour, how many miles will he still need to drive to complete his trip?
a)
40
b)
95
c)
110
d)
300
84.
Coach Becker needs to buy new basketballs for gym class. This table shows the total cost of different numbers of basketballs. What is the cost per basketball?
a)
$5
b)
$9
c)
$13
d)
$27
85.
A boy painted 2/3 of a barn using 1/5 of a can of paint.  How many barns can he paint using one can of paint?
a)
3 and 1/3 barns
b)
2/15 barns
c)
3 barns
d)
15/2 barns
86.
A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 Weeks
b)
24-ounce bottle
c)
10.6 Weeks
d)
10.6-ounce bottle
87.
Madeline ran 21.7 miles in 7 hours. What is the unit rate? 
a)
21.7 miles per hour
b)
3.1 miles per hour
c)
.32 miles per hour
d)
21.7
7
88.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
89.

Is this table proportional?

a)

not proportional

b)

k = 10

c)

k = 0.05

d)

k = 20

90.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

1/14

91.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 1/2x

b)

x = 1/2y

c)

y = 2x

d)

k = x

92.

Select ALL equations that are proportional.

a)

y = 3x

b)

y = 25x

c)

y = 7x

d)

y = 2x - 1

e)

y = 4000x

93.
What is the constant of proportionality? 
a)
20
b)
4
c)
1/5
d)
5
94.
What is the constant of proportionality? 
a)
1/3
b)
3
c)
5
d)
10
95.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
d)
y=x
96.
Write an equation for this situation.
a)
k=19.25x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
97.

Does this equation represent a proportional relationship?

y = 2 + 7x

a)

Yes, because it has a constant of proportionality

b)

Yes, because it will be a straight line

c)

No, because it will not be a straight line

d)

No, because it will not go through the origin

98.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
99.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
100.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
101.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

1/14

102.

Select ALL equations that are proportional.

a)

y = 3x

b)

y = 25x

c)

y = 7x

d)

y = 2x - 1

e)

y = 4000x

103.
What is the constant of proportionality? 
a)
1/3
b)
3
c)
5
d)
10
104.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
105.
What is the area of a circle with the diameter of 10cm ?
a)
66cm
b)
78.5cm
c)
66.5cm
d)
10m
106.
What is the area of this circle?
a)
62.59 cm2
b)
113.1 cm2
c)
19.81 cm2
d)
28.26 cm2
107.
What is the area of this circle?
d = 8cm
a)
16π
b)
8π
c)
4π
d)
36π
108.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
109.
The diameter of the face-off circle on an ice-hockey rink is 30 feet. Find its area.
a)
675.6 ft2
b)
29.67 ft2
c)
545.8 ft2
d)
706.5 ft2
110.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
111.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
112.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.94 ft
d)
131.95 ft
113.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
114.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)
Radius
115.

A researcher asked five of his doctor friends if they thought the new Brand X medicine that he developed was effective. Four responded "yes." The researcher used the results to write a TV advertisement claiming that "4 out of 5 doctors prefer Brand X medicine." Is this a valid inference? Explain.

a)

No, because the doctors asked are not a representative sample of the population of doctors.

b)

No, because 4 doctors said yes out of 9 who were asked.

c)

Yes, because the doctors asked are a representative sample of the population of doctors.

d)

Yes, because 4 doctors said yes out of the 5 who were asked.

116.

A researcher asked five of his doctor friends if they thought the new Brand X medicine that he developed was effective. Four responded "yes." The researcher used the results to write a TV advertisement claiming that "4 out of 5 doctors prefer Brand X medicine." Is this a valid inference? Explain.

a)

No, because the doctors asked are not a representative sample of the population of doctors.

b)

No, because 4 doctors said yes out of 9 who were asked.

c)

Yes, because the doctors asked are a representative sample of the population of doctors.

d)

Yes, because 4 doctors said yes out of the 5 who were asked.

117.

Shantel and Syrus are researching what types of novels people prefer. They decide to survey people at the mall. Shantel uses systematic sampling and asks every seventh person at the entrance. She finds that 21% prefer romance novels. Syrus uses convenience sampling and asks every person in only one store. He finds that 48% prefer romance novels. Whose inference do you agree with?

a)

Shantel

b)

Syrus

118.

Maria collects data from a random sample of 7th graders in her school and finds that 16 out of 20 7th graders participate in after-school activities. How many students should Maria expect to participate in after-school activities if 240 total 7th graders attend Maria's school? Write the numerical answer only.

(a)  

119.

A movie theater randomly samples the types of admission tickets sold on Friday in the afternoon and the evening. If 400 tickets are sold on a Friday afternoon, use your inference and proportional reasoning skills to determine how many of those 400 tickets would be adult tickets. Type your numerical answer only.

(a)  

120.

Trinity asked a random sample of 50 students at her school if they brought lunch from home today. If 30 answered “yes,” about what percent of students at Trinity’s school brought lunch from home today?

a)

15%

b)

30%

c)

50%

d)

60%

121.

A representative sample of 80 customers in a clothing store was surveyed about how they paid for their purchases. The table shows the responses. Based on the results, which of the following are valid inferences. Select all that apply.

a)

Tomorrow, 8 out of the first 80 customers will for sure pay with a gift card.

b)

In a group of 40 customers, it is expected that about 10 will pay with cash.

c)

About 0.3, or 30%, of all the store's customers will pay with a credit card.

d)

A sample of 100 customers would provide less reliable data.

122.

Yadira wanted to estimate the mean number of words per page in a 180-page book she is reading. Which if these sampling methods gives the best estimate of the mean word count per page in the book?

a)

Count the words on one randomly chosen page.

b)

Calculate the mean word count for a sample consisting of the pages with pictures.

c)

Calculate the mean word count for a sample of 20 pages selected by choosing every 9th page.

d)

Calculate the mean word count for a sample consisting of the 10 pages that appear to have the most words.

123.

Using your inference skills and proportional reasoning, predict the number of purple jellybeans in a bag of 200 total jellybeans if a random sample of 25 resulted in 4 purple jellybeans. I predict there will be (a)   purple jellybeans.

124.

Johanna was running for class president. She wanted to know if she had a good chance of winning the election, so she decided to have her classmates help her with surveys. Michael surveyed a random sample of 10 students from the school. 7 of them said they would vote for Johanna. If there are 230 students in the school, and all of them vote, what is Michael’s best estimate of the number of students who would vote for Johanna? (a)   students

125.

Which size random sample is likely to provide the most trustworthy results?

a)

5

b)

10

c)

30

d)

There is no difference.

126.
What is an outcome?
a)
The result of an experiment
b)
The chance or likelihood of an event
c)
A fraction, decimal, or a percent
d)
An activity that gives various results
127.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

128.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

129.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

130.
Find the probability of rolling a 7 on a single die.
a)
1/6
b)
7/6
c)
0
d)
7/7
131.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
132.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
133.
A set of all possible outcomes is known as - 
a)
a list
b)
a complement
c)
a sample space
d)
an event
134.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
135.
You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?
a)
1/36
b)
1/18
c)
1/9
d)
1/6
136.

Find the relative frequency of spinning Letter Q.

a)

15/15

b)

3/10

c)

3/50

d)

7/10

137.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
138.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
139.
What is surface area?
a)
The measure of the amount of space inside of a solid figure
b)
The sum of all the areas of all the shapes that cover the object
140.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
141.
What 3D solid does this net create?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Pyramid
d)
Square Prism
142.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

c)

104 cm²

d)

74 cm²

143.

Find the surface area of the triangular prism.

a)

228 cm2

b)

170 cm2

c)

304 cm2

d)

328 cm

144.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
145.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
146.

Find the lateral surface area of the prism.

Don't forget to divide the diameter by 2 to get the radius.

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

147.
What is the total surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2

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