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WorksheetsMath 6 Milestone Review
Total questions: 140
Worksheet time: 5hrs 33mins
Name
Class
Date
1.
Madison's rabbit eats 1/3 of a pound of rabbit food a day. If Madison buys a 20-pound bag of rabbit food, how many days will she be able to feed her rabbit from the bag?
a)
3 days
b)
40 days
c)
60 days
d)
120 days
2.
Ethan practiced 3⅓ hours last week. If each practice lasts ⅚ of an hour, how many practices did he attend?
a)
4 practices
b)
5 practices
c)
6 practices
d)
7 practices
3.
Ms. Newman has a shelf that is 3¼ feet wide. If each of her trophies is ½ foot wide, how many trophies can she fit on her shelf?
a)
7 trophies
b)
6½ trophies
c)
6 trophies
d)
5½ trophies
4.
The student council sold 362 rolls of wrapping paper for a fundraiser. If they raised $4706, what was the cost of one role of wrapping paper?
a)
$9
b)
$11
c)
$13
d)
$15
5.
A rollercoaster can hold 40 people at a time. If 170 people want to ride, how many times will the rollercoaster need to run so that everybody gets a ride?
a)
3.25 times
b)
4 times
c)
4.25 times
d)
5 times
6.
A student bought 3 shirts at $12.25 each and 2 pairs of pants at $25.50 each. How much did he spend in all?
a)
$37.75
b)
$38.25
c)
$62.25
d)
$87.75
7.
14, 49, and 28 are all multiples of what number?
a)
2
b)
7
c)
4
d)
5
8.
WHAT IS THE GCF OF:
30 AND 42
30 AND 42
a)
6
b)
7
c)
8
d)
9
9.
GCF OF 25 AND 50
a)
25
b)
10
c)
15
d)
20
10.
What is the LCM of 4 and 12?
a)
4
b)
8
c)
12
d)
16
11.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
38
d)
72
12.
Which set of numbers show all the factors for 15?
a)
7, 8
b)
1, 15
c)
1, 3, 5, 15
d)
3, 5, 15
13.
What is the least common multiple (LCM) of 8 and 5?
a)
50
b)
40
c)
5
d)
8
14.
What is the Least Common Multiple (LCM) for the numbers
8 and 6?
8 and 6?
a)
16
b)
12
c)
24
d)
14
15.
Joe has listed the first 4 multiples of 7 as:
7 14 22 28
Which one is incorrect?
7 14 22 28
Which one is incorrect?
a)
7
b)
14
c)
22
d)
28
16.
Use the distributive property to write an equivalent expression:
4 ( 2 + 7 )
4 ( 2 + 7 )
a)
4 + 2 and 4 + 7
b)
4 (2) + 4 ( 7)
c)
42 + 47
d)
42 + 7
17.
Find the prime factorization for the number 84
a)
2•2•3•7
b)
1•2•2•3•7
c)
2•2•2•2•2•7
d)
2•3•3•7
18.
Evaluate the expression: 23
a)
27
b)
8
c)
2 times 2 times 2
d)
3 times 3
19.
What is the GCF of 4 and 12?
a)
3
b)
1
c)
6
d)
4
20.
Write each product using an exponent.
4 x 4 x 4 x 4 x 4
4 x 4 x 4 x 4 x 4
a)
45
b)
54
c)
46
d)
46
21.
Find all the factors for 21.
a)
1, 2, 3, 7, 21
b)
1, 3, 7, 21
c)
1, 7, 21
d)
1, 3, 21
22.
Rewrite this expression using the distributive property: 24 - 16
a)
4 ( 6 + 4)
b)
8 ( 3 - 16)
c)
8 ( 2 - 1)
d)
8 ( 3 - 2)
23.
The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?
a)
14 days
b)
24 days
c)
34 days
d)
44 days
24.
Suzie has 24 apples and 36 bags of peanuts. She wants to make snack packs that have the same number of apples and peanuts in each bag. What is the greatest number of snack bags she can make?
a)
10
b)
11
c)
12
d)
13
25.
Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?
a)
1
b)
2
c)
3
d)
4
26.
What is 2.009÷0.41
a)
0.482
b)
49
c)
4.9
d)
0.82369
27.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
28.
Simplify the ratio of
35 : 14
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
29.
88 students for 4 classes
How many students per class?
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
30.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
31.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
32.
Which one is a real life example of a RATIO?
a)
12 noodles
b)
4 meatballs : 1 cup of sauce
c)
1 jar of sauce
d)
15 desserts
33.
If we have the following recipes for juice, which one will taste the most cherry:
Sam: 1 part cherry, 4 parts sprite
Katie: 2 parts cherry, 4 parts sprite
Michael: 6 parts cherry, 8 parts sprite
Sam: 1 part cherry, 4 parts sprite
Katie: 2 parts cherry, 4 parts sprite
Michael: 6 parts cherry, 8 parts sprite
a)
Michael
b)
Katie
c)
Sam
34.
What is a Ratio?
a)
Is a comparison of two quantities
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one
d)
Two decimals that can be multiplied
35.
What is the ratio of flames to arms on the candle?
a)
3:2
b)
3:5
c)
11/10
36.
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
37.
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
38.
Simplify the ratio of
20 to 25
20 to 25
a)
1 to 5
b)
2 to 5
c)
3 to 5
d)
4 to 5
39.
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
40.
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
41.
There are 75 pieces of candy in a 15 oz bag.
How many pieces are there per ounce?
a)
5 pieces
b)
0.2 pieces
c)
50 pieces
d)
60 pieces
42.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
43.
Jack jumps 40 times per 4 minutes. How many times does he jump per 1 minute?
a)
5
b)
10
c)
40
d)
36
44.
What is 12% of 40?
a)
5
b)
4.8
c)
4
d)
12
45.
What is 19% of 50?
a)
9.5
b)
10
c)
15
d)
11
46.
75% of what number is 48?
a)
48
b)
100
c)
64
d)
75
47.
120% of what number is 72?
a)
120
b)
60
c)
75
d)
100
48.
What is 87% of 55?
a)
47.85
b)
46.52
c)
87.5
d)
55.8
49.
75% of what number is 27?
a)
30
b)
36
c)
25
d)
40
50.
Compare using < or > or =
20% of 30 ____ 30% of 40
20% of 30 ____ 30% of 40
a)
>
b)
<
c)
=
51.
How many minutes if 40% of 120 minutes?
a)
2
b)
60
c)
48
d)
35
52.
What is 15% of 12?
a)
2
b)
1.8
c)
3
d)
10
53.
Write a UNIT RATE for the situation.
25 chairs to 5 desks
25 chairs to 5 desks
a)
5 chairs per desk
b)
5 desks per chair
c)
25 chairs to 5 desks
d)
25 desks to 5 chairs
54.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
55.
Solve for B in the table.
a)
B= 40
b)
B= 10
c)
B= 9
d)
B= 45
56.
A ratio can be written in the three ways shown in the image.
a)
true
b)
false
c)
sometimes
57.
a)
55 yellow marbles
b)
45 yellow marbles
c)
35 yellow marbles
d)
65 yellow marbles
58.
Which expression matches:
The sum of 6 and 5 doubled
The sum of 6 and 5 doubled
a)
2 x 6 + 5
b)
2 x (6 + 5)
c)
6 + (5 x 2)
59.
What step would I do second?
(4 - 2) x 9 + 7 =
(4 - 2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
60.
(19 - 7) ÷ 4 + 11
a)
14
b)
0.8
c)
15
d)
13
61.
What does the (E) in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
62.
(3 + 4)2 - 32
a)
7
b)
112
c)
17
d)
-7
63.
True or false:
Addition ALWAYS comes before subtraction.
Addition ALWAYS comes before subtraction.
a)
True
b)
False
64.
2 + 7 ⋅ 5
a)
37
b)
45
c)
32
d)
23
65.
True or false:
4x5 and 4∗5 mean the same thing.
4x5 and 4∗5 mean the same thing.
a)
True
b)
False
66.
What would you solve first?
3 x 48 ÷ (15 - 3)
3 x 48 ÷ (15 - 3)
a)
3 x 48
b)
48 / 15
c)
15 - 3
d)
48-12
67.
How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
a)
47
b)
65,536
c)
48
d)
74
68.
(3+4) x (3+5)
a)
50
b)
54
c)
56
d)
48
69.
What does the (M) in PEMDAS mean?
a)
multiply
b)
move over
c)
math
d)
median
70.
88 x 314 ≈
a)
27,000
b)
2,700
c)
2,400
d)
24,000
71.
Which comparison is correct?
a)
50 x 4 < 51 fours
b)
17 tens > 18 tens
c)
25 x 4 x 2 = 25 x 10
72.
Evaluate the expression:
12r when r =4
12r when r =4
a)
124
b)
8
c)
48
d)
16
73.
Evaluate expression: 5a + b for a= 6 and b= 3
a)
33
b)
36
c)
30
d)
59
74.
Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries.
a)
$1.95+p
b)
$1.95-p
c)
$1.95/p
d)
$1.95p
75.
Find the algebraic expression to describe the pattern.
Eric's age Mary's age
4 8
8 16
3 6
x
Eric's age Mary's age
4 8
8 16
3 6
x
a)
x + 4
b)
2x
c)
x + 2
d)
x - 4
76.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
77.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
78.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
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.
79.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
80.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
81.
5. 6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
82.
x ÷ 2 = 12
a)
x = 24
b)
x = 6
c)
x = 20
d)
x = 10
83.
The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.
a)
25x=125,
x = 5 feet
x = 5 feet
b)
x+22=125,
x = 20 feet
x = 20 feet
c)
x-25=125
x=150 feet
x=150 feet
d)
25x=125
x=3,125 feet
x=3,125 feet
84.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
85.
Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
a)
j - 3 = 12
b)
s - 3 = 12
c)
s + 3 = 12
d)
j + 12 = 3
86.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
87.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
88.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
89.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
90.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
91.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
92.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
93.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
94.
How would you solve this inequality?
m - 9 ≤ 20
m - 9 ≤ 20
a)
By adding 20 to both sides
b)
By subtracting 9 to both sides
c)
By adding 9 to both sides
d)
By subtracting 20 to both sides
95.
A triangle has a base that measures 14 inches. The area of the triangle is 3.5 square inches. What is the height of the triangle?
a)
0.5 inches
b)
1.0 inches
c)
1.5 inches
d)
2.0 inches
96.
a)
18 cm2
b)
36cm2
c)
72cm2
d)
78cm2
97.
A rectangle with a length of 5 cm and a width of 2 cm is cut diagonally. What is the area of one of the triangles formed?
a)
10 cm2
b)
5 cm2
c)
3.5 cm2
d)
2.5 cm2
98.
a)
248 4/9 in.3
b)
224⅙ in.3
c)
56 1/9 in.3
d)
22⅙ in.3
99.
a)
1639¼ in.3
b)
3, 278½ in.3
c)
4,263 in.3
d)
4,320 in.3
100.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
101.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
102.
What is the name of this figure?
a)
Cube
b)
Rectangular Prism
c)
Square
d)
Rectangular Pyramid
103.
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
104.
What is the name of this shape?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Square Pyramid
d)
Square triangle
105.
Is the following question statistical or non statistical?
How many cars are in the parking lot?
How many cars are in the parking lot?
a)
Statsitical
b)
Non Statistical
106.
Is the following question statistical or non statistical?
What pets does our class have?
What pets does our class have?
a)
Statistical
b)
Non statistical
107.
Is the following question statistical or non statistical?
How many lanterns are hanging in our classroom
How many lanterns are hanging in our classroom
a)
Statistical
b)
Non Statistical
108.
Is the following question statistical or non statistical?
How many siblings do each student have?
a)
Statistical
b)
Non Statistical
109.
Is the following question statistical or non statistical?
How many students like the color blue?
a)
Statistical
b)
Non Statistical
110.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
111.
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
112.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
113.
The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
a)
6
b)
7
c)
8
d)
9
114.
Find the mean of these numbers:
5,11,2,12,4,2
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
115.
Find the median of these numbers:
4,2,7,4,3
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
116.
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
3, 5, 7, 9, 11, 8, 3
a)
median:7 mode:3 range:7
b)
median:6 mode:3 range:7
c)
median:7 mode:3 range:8
117.
What is Mean Absolute Deviation?
a)
The mean of the data
b)
The absolute value of the mean
c)
The variation of data values around the mode
d)
The rage distance between the data values and the mean
118.
What is the first step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
119.
What is the second step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
120.
What is the third step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
121.
Find the Mean Absolute Deviation: 10, 9, 3, 8, 10. The Mean is 8
a)
3
b)
5
c)
1
d)
2
122.
What is another word for average?
a)
Mean
b)
Median
c)
Mode
d)
Range
123.
Which mean absolute deviation would have a greater variability or spread? 4.2 or 8.5?
a)
4.2
b)
8.5
124.
Which mean absolute deviation would be more consistent? 4.2 or 8.5?
a)
4.2
b)
8.5
125.
True or false? :The larger the Mean Absolute Deviation the more consistent the data is.
a)
True
b)
False
126.
Which dot plot shows more consistency? a or b?
a)
a
b)
b
127.
True or false?:The absolute value of a number will always be positive.
a)
True
b)
False
128.
Numbers increase as you go left on the number line?
a)
True
b)
False
129.
Zero lies between b and c. What are the values of a, b, c, and d?
a)
-4, -1, 1, and 4
b)
-5, -2, 0, and 3
c)
-3, 0, 2, and 5
d)
-1, -2, -3, and -4
130.
Is the following statement true or false?
Integers include both positive and negative numbers.
Integers include both positive and negative numbers.
a)
true
b)
false
131.
Which situation could the integer -50 represent?
a)
An increase of $50 in a bank account
b)
The temperature on a warm spring day
c)
The distance driven on the way to the beach
d)
A decrease of 50 employees
132.
What is the opposite of -3?
a)
3
b)
0
c)
-1/3
d)
1/3
133.
Numbers to the left of zero are always ________
a)
Negative
b)
Positive
c)
opposites
d)
absolute
134.
Which has the same absolute value as -55?
a)
0
b)
-1
c)
1
d)
55
135.
Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Select the value that could represent the temperature of New York
a)
0
b)
30
c)
-30
d)
-19
136.
Compare /-5/ to the /-10/
a)
/-5/ > /-10/
b)
/-5/ = /-10/
c)
/-5/ < /-10/
137.
How many days are in August?
a)
28
b)
30
c)
31
d)
912
138.
Who are these ladies?
a)
The Golden Girls
b)
The Old Timers
c)
Betty White and Sisters
d)
Facts of Life Girls
139.
Based on normal life expectancy, how many months does a person spend sleeping during their lifetime?
a)
318
b)
225
c)
407
d)
376
140.
What sweet food made by bees using nectar from flowers?
a)
honey
b)
nectar
c)
juice
d)
pollen
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