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Worksheets

2023 Milestones Review

Total questions: 115

Worksheet time: 4hrs 12mins

Name
Class
Date
1.
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
a)
75 Pieces
b)
27-ounces
c)
27 pieces
d)
75-ounces
2.

What does point A represent on this graph?

a)

When there are 12 web visits, there are 4 downloads.

b)

When there are 12 downloads, there are 4 web visits.

c)

As the number of web visits increases by 12, the number of downloads decreases by 4.

d)

As the number of web visits decreases by 12, the number of downloads increases by 4.

3.

A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter : 3 meters. How wide is the model?

a)

6 meters

b)

6 centimeters

c)

54 meters

d)

54 centimeters

4.

Michelle makes bracelets at a rate that is proportional to the number of hours she has worked. Which table could represent how many total bracelets, y, Michelle can make after working x hours?

a)
b)
c)
d)
5.

The points on the coordinate grid represent the costs for the different numbers of peaches. Select THREE statements that are true about the graph.

a)

There is a proportional relationship between the number of peaches and the cost because a line can be drawn passing through the origin and connecting all the points shown.

b)

There is a proportional relationship between the number of peaches and the cost because the x-value is always greater than the y-value.

c)

The point (1, 0.75) can be used to represent the unit rate of 0.75 dollars per peach.

d)

The point (1, 0.75) can be used to determine the total cost by subtracting 0.25 from the number of peaches.

e)

The point (4, 3) represents 4 peaches at a cost of $3.

6.

A package of Little Bites dog cookies costs $9.20. Which equation can be used to find the total cost, c, of p packages of dog cookies?

a)

𝑐 = 𝑝 + 9.20

b)

𝑐 = 𝑝 − 9.20

c)

𝑐 = 𝑝 /9.20

d)

𝑐 = 9.20𝑝

7.

The price of 3 apples at the Quick Market is $1.44. The price of 5 of the same apples at Walmart is $2.50. Which place is the better buy?

a)

Quick Market

b)

Walmart

8.

The cost of 28 pounds of horse feed is $63.28. What is the cost per pound of horse feed?

a)

$2.25

b)

$2.02

c)

$2.26

d)

$2.30

9.

What is the direct variation equation for the data in the table?

a)

A

b)

B

c)

C

d)

D

10.

Tyler sold a total of $115,000 of exercise equipment last month. If his commission is 6.5% of sales, how much commission did he earn?

a)

$2,342

b)

$7,475

c)

$12,719

d)

$115, 065

11.

Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?

a)

$24.95

b)

$399.20

c)

$2,495

d)

$294.86

12.

What is the constant of variation for the set of data in the table?

a)

A

b)

B

c)

C

d)

D

13.
At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?
a)
to randomly ask 8th grade students who went on a field trip last year
b)
to randomly choose some 7th grade students to select a location
c)
to ask all 7th grade teachers and administrators for a location
d)
to ask the student council to choose a location
14.
Which scenario would produce the least biased results?
a)
asking athletes at a gym what their favorite television show is
b)
asking shoppers at a store where their favorite place to shop is
c)
asking fans at a baseball game who their favorite baseball team is
d)
asking students in a college library what their favorite college sports team is
15.
A state fair had 1,019,887 people in attendance. The fair committee performed a survey. The question was, “What do fairgoers enjoy most about the fair?” Of those who responded, 83% reported eating traditional foods. Which group of people represents the sample group?
a)
Fair goers who like traditional foods
b)
The fair committee
c)
Fair goers who responded to the survey
d)
All fair goers
16.
Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?
a)
thirty students who are often tardy
b)
thirty students who are rarely tardy
c)
thirty of her friends
d)
thirty randomly selected students from her school
17.
A radio station in Raleigh, NC wants to know the most popular song of the week. The DJ surveys random listeners who call in throughout the week. What is the population of the DJ’s survey?
a)
all the people in Raleigh, NC
b)
listeners of this radio station
c)
the listeners who call the station
d)
the most popular song of the week
18.

Mrs. Delgado asks the first ten students at Clinton Elementary about what they think the new school's mascot should be. Identify the population and sample.

a)

Population: First ten students

Sample: All students at Clinton Elementary

b)

Population: All students at Clinton Elementary

Sample: First ten students

19.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
20.
Describe the cross section.
a)
rectangle
b)
square
c)
oval
d)
circle
21.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
22.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
23.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
24.
Find the area of the composite figure
a)
40
b)
9
c)
49
d)
61
25.
A climber starts descending from 533 feet above sea level and keeps going until she reaches 10 feet below sea level.  How many feet did she descend?
a)
523 feet
b)
543 feet
c)
0 feet
d)
500 feet
26.
Write the percent as a fraction in simplest form. 
65%
a)
.65
b)
65/100
c)
7/50
d)
13/20
27.
Which of the following is equivalent to 8(5f - 7) + 3f ?
a)
43f - 7
b)
-13f
c)
43f - 56
d)
40f -7 + 3f
28.

The record high temperature recorded one year was 93 degrees F while the record low temperature that year was -21 degrees F. How much warmer was the high temperature than the low temperature?

a)

114 degrees

b)

-72 degrees

c)

72 degrees

d)

-114 degrees

29.

Find 5(-12)

a)

60

b)

-60

c)

-45

d)

-17

30.

Which expression is equivalent to: 12(6x + 12)\frac{1}{2}\left(6x\ +\ \frac{1}{2}\right)  

a)

12x + 1

b)

6x + 14 6x\ +\ \frac{1}{4\ }  

c)

3x + 14 3x\ +\ \frac{1}{4\ }  

d)

3x + 12 3x\ +\ \frac{1}{2\ }  

31.

What is the constant of proportionality shown in the table?

a)

3

b)

12

c)

4

d)

8

32.

What is the solution 2x + 10 = 20

a)

5

b)

15

c)

0

d)

20

33.

Which proportion can be used to find the length of DE in centimeters?

a)
b)
c)
d)
34.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
35.

Yoshi's father gave him 200 Pokemon cards. Each week, Yoshi purchases 25 Pokemon cards to add to his collection.

Which inequality can be used to find w, the number of weeks after starting his collection when Yoshi will have more than 750 Pokemon cards in his collection?

a)

200w + 25 < 750

b)

25w + 200 < 750

c)

200w + 25 > 750

d)

25w + 200 > 750

36.
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
Identify the m<DAC.
a)
1330
b)
900
c)
330
d)
430
39.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary, 15
b)
Supplementary, 16
c)
Complementary, 18
d)
Supplementary, 19
40.
What is the circumference?
a)
48
b)
96
c)
24
d)
18
41.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
42.

Find the missing angle.

a)

43

b)

47

c)

57

d)

67

43.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
44.
What shape is the base? What is the area of the base (B)?
a)
Rectangle; 60in2
b)
Triangle; 12 in2
c)
Rectangle; 32 in2
d)
Triangle; 6 in2
45.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
46.
A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.
a)
10250 cm3
b)
11250 cm3
c)
11250 ft3
d)
10250 ft3
47.
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
48.
a)
A
b)
B
c)
C
d)
D
49.
a)
A
b)
B
c)
C
d)
D
50.
a)

A

b)

B

c)

C

d)

D

51.
a)
A and B
b)
B, C, D
c)
B and E
d)
A, C, D, E
52.
Bella skates 2/3 miles every day. How many miles does she skate each week?
a)
14/3 miles
b)
16/3 miles
c)
1/3 miles
d)
15 miles
53.
Jackie earns $8.95 per hour.  This week she worked 7.5 hours.  How much did she earn this week?
a)
$67.125
b)
$67.12
c)
$67.13
d)
$68.00
54.
Find the product.  Then, simplify.
a)
2/24
b)
3/24
c)
1/12
d)
3/16
55.
One pound of strawberries cost $4.26. Anna buys 5 pounds of strawberries. How much will the strawberries cost?
a)
$2,130
b)
$21.30
c)
$21.03
d)
None of the above
56.
At the neighborhood block party, Cora served 1/2 of a gallon of hot chocolate and 1/10 of a gallon of apple cider. How much hot chocolate and apple cider did Cora serve?
a)
3/5
b)
2/5
c)
2/11
d)
1/6
57.

What is the probability of spinning an EVEN number? 

a)

16 23\frac{2}{3}  %

b)

33 13\frac{1}{3}  %

c)

50%

d)

75%

58.
If you roll a die one time, find P(rolling a 2).
a)
1/6
b)
2/6
c)
1/3
d)
1/2
59.
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
60.

What is the probability of selecting the black ball, not replacing it, and then selecting a white ball?

a)

115\frac{1}{15}

b)

415\frac{4}{15}

c)

12\frac{1}{2}

d)

311\frac{3}{11}

61.

A class has 15 girls and 10 boys. The teacher randomly picks 2 students (one, then another) to go to the office. What are the odds that 2 boys will be chosen?

a)

320\frac{3}{20}

b)

425\frac{4}{25}

c)

625\frac{6}{25}

d)

925\frac{9}{25}

62.

Simplify the inequality 3x + 12 < -6

a)

x > 2

b)

x > 6

c)

x < -6

d)

x < 10

63.

Which inequality is represented by this statement: 5 more than 3 times a number is less than 25

a)

8x > 25

b)

3x + 5 < 25

c)

5x + 3 > 25

d)

4x - 12 < 25

64.
James used a $25 giftcard and bought a bunch of toys that cost $2 each for his little brothers. He still has over $10 left on the gift card
a)
25 - 2t < 10
b)
25 - 2t > 10
c)
25 + 2t > 10
d)
25 g - 2 > 10
65.
Carrie gets 5 points for each answer and has already earned 10 points of extra credit She needs at least 77 points to pass.
a)
10a + 5 ≥ 77
b)
5a + 10 ≥ 77
c)
5a + 10 > 77
d)
5a + 10 ≤ 77
66.
-2x + 7 < 19
a)
x < 6
b)
x < -6
c)
x > 6
d)
x > -6
67.

The perimeter of a rectangle is equal to twice the sum of its length and its width.  One rectangle has a length of 13 inches and a perimeter of 42 inches.  Write an equation that can be used to find the width, w, of the rectangle. 

a)

2w - 13 = 42

b)

2(13 + w) = 42

c)

2 (13 - w) = 42

d)

2w + 13 = 42

68.

Last week, Michael went canoeing on a river.  The cost to rent a canoe was $20 plus $9.75 per hour.  For how many hours, h, did Michael rent the canoe if he spent $78.50 in all?

a)

h = 8 hours

b)

h = 10 hours

c)

h = 6 hours

d)

h = 5 hours

69.

Matthew had $4.10 in his pocket.  He bought 3 notebooks.  Now he has $0.35 in his pocket.  Which equation below can be used to find how much each notebook, n, costs?

a)

4.10 – 3n = 0.35

b)

3n – 0.35 = 4.10

c)

4.10 + 0.35 = 3n

d)

3n + 4.10 = 0.35

70.

Factor the following expression into simplest form: 3x – 27

a)

3 (x - 9)

b)

3 (x + 9)

c)

3x (9)

d)

x (3 - 9)

71.

Simplify the following expression: 12y - 4y

a)

8

b)

16y

c)

3y

d)

8y

72.

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

73.
What is the measure of the missing angle?
a)
140
b)
130
c)
50
d)
90
74.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
75.

Find x

a)

40 degrees

b)

21 degrees

c)

42 degrees

d)

39 degrees

76.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
77.

Mrs. Debenport surveyed 8 random band members and found that 3 members play more than one instrument. Use her results to predict how many of Meadow Glen's 152 band members play more than one instrument.

a)

3/8

b)

57

c)

95

d)

405

78.

What is the maximum daily wage?

(a)  

79.

What is the average (median) score on a math test?

a)

90%

b)

67%

c)

97%

d)

78%

80.

What is the interquartile range?

a)

10

b)

6

c)

5

d)

2

81.

What is the interquartile range of the SAT Math Scores?

(a)  

82.

What is the difference of the median temperatures?

a)

10 degrees

b)

5 degrees

c)

15 degrees

d)

20 degrees

83.

What is the interquartile range of 2nd Period?

a)

15

b)

10

c)

12

d)

5

84.

How many students sent between 10 and 19 text?

a)

25

b)

22

c)

15

d)

45

85.

Which interval contained the fewest scores?

a)

0-9

b)

50-59

c)

both 0-9 and 50-59

d)

10-19

86.

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

a)

50

b)

48

c)

42

d)

36

87.

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

88.

The Oxford Soup Company recorded the number of rotten tomatoes in each barrel it received.


How many barrels had less than 100 rotten tomatoes?

a)

13

b)

15

c)

16

d)

17

89.

What is the range?

a)

97.2

b)

4

c)

3.3

d)

3.2

90.

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?

a)

193

b)

127

c)

60

d)

66

91.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
92.

The angle measures of a triangle are shown in the diagram. What is the value of x ?

a)

25

b)

20

c)

10

d)

28

93.

Simplfy.
(2)(18)÷(−2+5)(−1)\left(2\right)\left(18\right)\div\left(-2+5\right)\left(-1\right)  

a)

-13

b)

-12

c)

12

d)

13

94.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
95.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$841
c)
$58.44
96.
Mrs. Lindenberger is buying some groceries.  They total to $35.50.  Sales tax is 4.5%.  When she goes to pay, how much will she pay?
a)
$1.60
b)
$37.10
c)
$40.00
d)
$2.50
97.
A pair of boots are $94.99.  They are 25% off. With this discount, what is the sale price?
a)
$71.24
b)
$118.74
c)
23.7475
d)
$23.75
98.
Angela spent $30.00 at a restaurant.  If she leaves a 15% tip, how much will her TOTAL BILL be? 
a)
30.00
b)
45.25
c)
$ 34.50
d)
35.65
99.
Name the constant of proportionality.
a)
8
b)
16
c)
6
d)
3
100.
What was Brian's unit rate?
a)
3/2 word per minute
b)
30 minutes per word
c)
60 minutes per word
d)
30 words per minute
101.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

102.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

103.

Write an equation that represents the relationship between the weight(x) and the cost(y).

a)

y = 1/2 x

b)

y = 1/4 x

c)

y = 2x

d)

y = 4x

104.

Which of the following statements is TRUE about the graph? Choose all that apply.

a)

The point (2, 8) shows that 8 pounds of cheese cost$2.00.

b)

The point (1.5, 6) shows the cost is $6.00 for 1.5pounds of cheese.

c)

The point (0.75, 3) shows that 0.75 pound of cheesecosts $3.00.

d)

The point (0.25, 1) shows the cost is $0.25 for 1pound of cheese.

e)

The point (0, 0) shows the cost is $0.00 for 0 pounds of cheese

105.
When we compare quantities, we compare them as _____ over ______. 
a)
x over y
b)
y over x
c)
rate over one
d)
peanut butter over jelly
106.
What is the constant of proportionality?
a)
7
b)
3.3
c)
3/10
d)
14
107.

Which tables and graphs show a proportional relationship?

a)

A,B,D

b)

A,C,F

c)

B,D,E

d)

B,C,F

108.

How many triangles can be made given the following:

60°,  60°, 60°60\degree,\ \ 60\degree,\ 60\degree  

a)

none

b)

one unique

c)

many

109.

How many triangles can be made given the following:

35°,  65°, 80°35\degree,\ \ 65\degree,\ 80\degree  

a)

none

b)

one unique

c)

many

110.

How many triangles can be made given the following:
 

3 ft, 4 ft, 5 ft

a)

none

b)

one unique

c)

many

111.

How many triangles can be made given the following:
 

3 ft, 3 ft, 6 ft

a)

none

b)

one unique

c)

many

112.

How many triangles can be made given the following:

27°,  42°, 59°27\degree,\ \ 42\degree,\ 59\degree  

a)

none

b)

one unique

c)

many

113.

How many triangles can be made given the following:
 

10 ft, 4 ft, 13 ft

a)

none

b)

one unique

c)

many

114.

How many triangles can be made given the following:

24°,  64°, 92°24\degree,\ \ 64\degree,\ 92\degree  

a)

none

b)

one unique

c)

many

115.

How many triangles can be made given the following:
 

1 ft, 1 ft, 2 ft

a)

none

b)

one unique

c)

many

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