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Milestone Review

Total questions: 120

Worksheet time: 10hrs 35mins

Name
Class
Date
1.

Elijah is baking cookies and notices that a bag of sugar weighs 9/36 pounds. Which decimal measurement is equivalent to the weight given?

a)

1/4

b)

25%

c)

0.25

d)

0.5

2.

Kai has 12 apples, and he gives 3 of them to Nora. What percentage of his apples did Kai give to Nora?

a)

25

b)

2.5

c)

25%

d)

2.5%

3.

Oliver has a pizza cut into 5 equal slices. He eats 2 slices. What fraction of the pizza has Oliver eaten, represented as a decimal?

a)

25%

b)

30%

c)

40%

d)

250%

4.

During a science experiment, Jackson noticed that 1/3 of the water in his beaker evaporated. How should Jackson record this observation in his report as a decimal?

a)

0.333333...

b)

0.3

c)

0.13

d)

1.3

5.

Oliver noticed that a particular stock in his investment portfolio has decreased by which number to represent a 0.08 decrease in its value?

a)

0.0008%

b)

0.08%

c)

80%

d)

8%

6.

In a standard deck of 52 playing cards, what is the probability that a randomly chosen card is a red 7?

a)

1/24

b)

1/25

c)

1/26

d)

1/30

7.

In a classroom, how many students have four books in their desks?

a)

2

b)

3

c)

4

d)

5

8.

Michael is packing spherical candies into a box. If the box is a cube with a side length of 7 cm, what is the maximum volume of candies Michael can fit into the box?

a)

4003 cm3

b)

336 cm3

c)

36 cm3

d)

412 cm3

9.

Arjun has 4 slices of a pizza that was cut into 8 pieces. Is this more or less than if Maya had 4 slices of a pizza cut into 10 pieces?

a)

>

b)

<

c)

=

10.
308 people were surveyed about how they got to school. How many ride their bike?
a)
112 people
b)
847 people
c)
130 people
d)
110 people
11.

600 people were surveyed at a local gym. How many people rode the stationary bikes that day?

a)

150 people

b)

120 people

c)

90 people

d)

None of these

12.

In a survey conducted at the local school, what percent of students chose gummy bears as their favorite candy? 

a)

25%

b)

15%

c)

30%

d)

None of these

13.

In a grocery store, Harper noticed the price tag on an apple is a number without any variable attached. This number is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

14.

In a math class, Grace is learning about expressions. She notices that an expression can be broken down into parts separated by a + or a -. What does she call each of these parts?

a)

coefficient

b)

constant

c)

variable

d)

term

15.

Aiden is calculating the total cost of materials for his science project. If the cost is represented by the expression: 94a + 2, where 'a' is the cost of a single item, what is the coefficient of 'a'?

a)

2

b)

4

c)

94

d)

94a

16.

Charlotte is calculating the total cost of her shopping cart. If the base price is $8, she adds 5 items each costing $x, and uses a coupon that saves her $y, what is the coefficient of x in the expression for her total cost?
8 + 5x - y

a)

8

b)

1

c)

5

d)

-5

17.

Evelyn is painting a circular table top with a radius of 3 cm. Find the area she needs to cover with paint.

a)

100 cm2

b)

225 cm2

c)

9 cm2

d)

28.26 cm2

18.

Ava is drawing a circle for her art project. If the diameter of the circle is 18, what is the radius of this circle?

a)

18

b)

10

c)

9

d)

8

19.

Imagine William spins a fair six-sided die 3 times. Find the probability of these 3 events: P(rolling a prime number, rolling an odd number, rolling a 3)

a)

1/216

b)

1/72

c)

1/36

d)

1/12

20.
A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?
a)
1/9
b)
2/9
c)
5/21
d)
10/21
21.

Michael, Samuel, and Daniel have a bag of marbles. What is the probability Michael will pick either a black or white marble from the bag?

a)

3/5

b)

9/100

c)

1/10

d)

2/5

22.
Which event is not a dependent event?
a)
Picking 2 students to each be line leader and door holder from a group of 20 students
b)
Picking 2 marbles from a bag without replacing the first marble
c)
Picking 2 crayons from a box at the same time (simultaneously) 
d)
Picking an earring, replacing it, then picking a 2nd earring
23.

In the scenario where Nora plants 14 trees for every acre of land she reforests, what is the constant of proportionality?

a)

trees

b)

acre

c)

14

24.

Abigail made a smoothie that contains 624 calories in total. If the smoothie is divided into 3 equal servings, how many calories does each serving contain?

a)

1,872 calories per serving

b)

208 calories per serving

c)

624 calories per serving

d)

621 calories per serving

25.

Nora is planning a garden and wants to determine the relationship between the number of seeds planted (x) and the number of plants that grow (y). Write the equation based on the data she collected.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

26.

Priya is planning to work part-time during her summer break. She found a job that pays hourly. If she works for x hours, which equation represents her earnings, y, in dollars?

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

27.

Jackson is planning to save money for a new skateboard. If he saves $22 every week, write an equation that represents the total amount, y, he saves after x weeks.

a)

y=10.99x

b)

y=22.98x

c)

y=22x

d)

y=21.98x

28.

Aiden is planning to buy a new video game that costs $18. How much would 50 games cost?

a)

y=18x

b)

y=18.50x

c)

y=22.50x

d)

y=22x

29.

It took Mason's family 6 hours to hike 26 km. What was the average speed of Mason's family?

a)

4.3 km

b)

4.375 km

c)

17.3 km

d)

20 1/4

30.

Arjun is planning to build a rectangular garden in his backyard. The garden measures 43 inches by 10 inches. Find the area of the garden.

a)

430 in2

b)

215 in2

c)

41.5 in2

d)

1.5 in2

31.

Daniel had -15 apples and Mason took away 3 more. How many apples does Daniel have now?

a)

12

b)

-12

c)

-18

d)

18

32.

Rohan had -9 dollars in his bank account and then spent another 5 dollars. How much money does he have now?

a)

-14

b)

14

c)

-4

33.

Benjamin had -7 apples and Olivia took 2 more away. How many apples does Benjamin have now?

a)

-9

b)

9

c)

5

d)

-5

34.

Evelyn has 3 bags, each containing -4 apples. How many apples does she have in total?

a)

-12

b)

7 

c)

-7

d)

12

35.

Noah had $20 and he decided to divide his money equally among 5 of his friends. How much money did each friend get?

a)

-4

b)

4

c)

-100

d)

100

36.

David had 36 apples and decided to distribute them equally among his 6 friends. Unfortunately, due to a misunderstanding, he had to take back all the apples from each friend, effectively reversing the distribution. How many apples does each friend owe David?

a)

6

b)

7

c)

-6

d)

-8

37.

Jackson had -8 apples. He found a basket with 15 apples but had to share them equally with Kai and Daniel, losing 3 apples in the process. How many apples does Jackson have after sharing?

a)

-5

b)

1

c)

-11

d)

11

38.

Noah has 2 apples, Aria gives him 7 more, but Scarlett takes 1 away. If they decide to share the remaining apples equally among 4 friends, how many apples does each friend get?
(2 + 7 - 1) ÷ 22

a)

16

b)

2

c)

72.25

d)

8.75

39.

Daniel was checking his bank account balance. He started with $5, then he realized he had a pending transaction that squared his monthly subscription of $6 and divided it by 4, and finally, he remembered he had spent $3 on coffee. What was his final balance?
5 - 62 ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

40.

Nora has 5 apples. She buys a pack of 6 apples2 for $4 each and then gives away 3 apples. How many apples does she have left if we simplify the math?

a)

1

b)

-10.75

c)

-31

d)

-7

41.

Anika is planning to buy a rectangular table mat. What is the area of the table mat if it is to fit her dining table?

a)

15 sq cm

b)

15 cm

c)

2 

d)

16 cm

42.

Nora is wrapping a gift box for Jackson's birthday. How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 

a)

108 cm2

b)

324 cm2

c)

180 cm2

d)

432 cm2

43.

Mason has a debt of $25. If he pays back $5 each day, how many days will it take for him to clear his debt?

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

44.

David had 19 apples. After a mysterious loss, he ended up with -50 apples. How many apples did he lose?

a)

He lost -950 apples

b)

He lost -69 apples

c)

He lost -31 apples

d)

He lost -50/19 apples

45.

David had $8 less than $-5 in his bank account. How much money did David have?

a)

13

b)

-13

c)

3

d)

-3

46.

Olivia has 10 apples, Charlotte gives her 10 more. How many apples does Olivia have now?

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

47.

Grace is baking cookies and needs to solve the equation below to find out how many cookies she can bake with the ingredients available:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

48.

Lily has 144 apples, and she wants to distribute them equally among 12 friends. How many apples does each friend get?

a)

z=20

b)

z=11

c)

z=12

49.

Harper has 4 times as many marbles as Isla. If Harper gives away 48 marbles, how many marbles does Isla have?

a)

Isla has -52 marbles

b)

Isla has 12 marbles

c)

Isla has -44 marbles

d)

Isla has -13 marbles

50.

Arjun has 765 apples. He gave some to Priya and now has 254 apples left. What is the inverse operation needed to solve for the number of apples Arjun gave to Priya? 765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

51.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

52.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
53.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
54.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
55.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
56.
Find the Area of this triangle
a)
19.8 km2
b)
37.8 km2
c)
18.9 km2
d)
35 km2
57.
Find the missing numerator:
2/3 = ?/9
a)
1/9
b)
4/9
c)
6/9
d)
7/9
58.
Which of the following is an equivalent fraction to 5/6?
a)
9/12
b)
10/12
c)
8/12
d)
14/18
59.
a)
1
b)
3
c)
9
d)
8
60.
a)
6/9
b)
6/6
c)
9/9
d)
2/3
61.

Are the fractions equivalent?

a)

Yes

b)

No

62.
Complete the equivalent fraction.
a)
6
b)
9
c)
15
d)
23
63.
Put 15/45 in simplest form.
a)
3/9
b)
1/3
c)
30/90
d)
Already in simplest form
64.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
65.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
66.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
67.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
68.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
69.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
70.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
71.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
72.
Find the surface area of the rectangular prism.
a)
29 cm2
b)
912 cm2
c)
348 cm2
d)
438 cm2
73.
What number is missing?
a)
12
b)
3
c)
11
d)
13
74.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
75.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
76.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
77.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
78.
In the equation 4y +-9 =-36
y = -4
a)
True
b)
 francine
c)
False
79.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient 
c)
Find the value of the variable
80.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
81.
Express an integer: a debt of $50
a)
50
b)
-50
82.
What is the opposite of 10? 
a)
10
b)
-10
c)
0
d)
20
83.
What is the distance from -7 to 5 on a number line? 
a)
12
b)
-12
c)
2
d)
-4
84.
Which list is only prime numbers? 
a)
2, 3, 5, 7, 9
b)
1, 2, 3, 5, 7
c)
2, 11, 13, 17, 27
d)
2, 5, 19, 29, 31
85.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
86.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
87.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
88.
Farmer Bob needs to build a fence for his chickens.  The area he wants to build a fence around is 40 feet long and 20 feet wide.  How many feet of fence does he need to buy?
a)
800 feet
b)
120 feet
c)
60 feet
89.
What is the perimeter of this rectangle?
a)
21 units
b)
12 units
c)
3 units
d)
None of the above.
90.
Find the perimeter
a)
25cm
b)
35cm
c)
50cm
d)
100cm
91.
I spent 4  5/12 hours reading in the last week. I spent 1  3/4 hours watching TV. How much longer did I read?
a)
2  2/3 hours
b)
3  2/3 hours
c)
2  1/3 hours
d)
3  1/3 hours
92.
a)
1/12
b)
1
c)
2/35
d)
23/25
93.
3 3/4 + 6 2/3
a)
10  5/12
b)
17/12
c)
9  5/12
d)
9  5/7
94.
Solve: Make sure to simplify
 5/12 x 8/15
a)
40/180
b)
8/36
c)
2/9
d)
4/18
95.
One recipe uses 4 5/8 ounces of lemon juice. Another recipe uses 1  3/4 ounces of lemon juice. How much lemon juice do you need to make both recipes?
a)
6  3/8 ounces
b)
5  3/8 ounces
c)
6 ounces
d)
6 1/2 ounces
96.
You skate 1  1/4 miles from your house to the park. The park path has a loop that is 2  3/10 miles long. You skate once around the loop and then skate home. What is the total distance you skated?
a)
4  4/5 miles
b)
3  11/20 miles
c)
4  2/3 miles
d)
3  9/10 miles
97.
I have an 20 pound bag of dog food. If it is 2/3 full right now, how much dog food is in the bag?
a)
13  1/3 pounds
b)
30 pounds
c)
19  1/3 pounds
d)
12  2/3 pounds
98.
Find the area
a)
8 ft2
b)
8 ft3
c)
4 ft2
d)
4 ft3
99.
18 is 40% of what number?
a)
45
b)
18
c)
7.2
d)
40
100.
7 is what percent of 56?
a)
12.5%
b)
7%
c)
56%
d)
800%
101.
What is 15% of 60?
a)
9
b)
10
c)
8
d)
15
102.
20 is 80% of what number?
a)
25
b)
24
c)
26
d)
20
103.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
104.
Determine whether the event is impossible, unlikely, as likely as not, likely, or certain.  You flip a fair coin and the coin will land heads up.
a)
impossible
b)
unlikely
c)
as likely as not
d)
likely
105.
The set of all outcomes not included in the event is the _________ 
a)
complement
b)
P(event)
c)
as likely as not
d)
probabilty
106.
Probability can be written as a 
a)
fraction
b)
decimal
c)
percent
d)
all of the above
107.
Making a prediction requires you 
a)
set up an experiment
b)
use a proportion
c)
find the complement 
108.
Flipping a tails. What is the theoretical p(tails)
a)
2/5 or 40%
b)
1/2 or 50%
c)
1/4 or 25%
d)
1
109.
Which chart should be used to compare trends like comparing sales of 3 different departments over a period of time?
a)
Column Chart
b)
Stacked Bar Chart
c)
Line Chart
110.
Which chart should be used for comparing the contribution of individual items to the whole?
a)
Column Chart
b)
Pie
c)
Line Chart
111.
Which chart will BEST represent the percentage of expenses for office supplies, salaries, and travel for a company's total budget? 
a)
Line 
b)
Pie
c)
Stacked bar
d)
XY scatter
112.
Which chart will BEST represent the decline of sales for a music company over the past five years? 
a)
Column 
b)
Line
c)
Pie
d)
XY scatter
113.
You are assigned 32 math questions for homework. You complete 87.5% of these before dinner. How many questions do you have left to to do after dinner?
a)
7
b)
4
c)
28
d)
20
114.
A school raised 125% of its fundraising goal. The school raised $6750. What was their goal?
a)
$5400
b)
$4675
c)
$5525
d)
$4800
115.
A quarterback completed 68% of his passes in a game. He threw 25 passes. How many passes did the quarterback complete?
a)
18
b)
17
c)
15
d)
20
116.
You text message inbox is 88% full. You have 44 texts. How many text messages can you phone hold?
a)
60
b)
55
c)
62
d)
50
117.
What is 20% of 45?
a)
9
b)
44.44
c)
225
d)
12
118.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
119.
The number before a variable is the _____.
a)
term
b)
constant
c)
coefficient
d)
variable
120.
What percent of people chose vanilla as their favorite ice cream? 
a)
25%
b)
324%
c)
3.24%
d)
90%

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