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Worksheets6th grade math review
Total questions: 140
Worksheet time: 5hrs 29mins
Name
Class
Date
1.
317.65 ÷ 5 =
a)
62.53
b)
63.53
c)
63.43
d)
6.353
2.
$100 - $47.25
a)
53.75
b)
52.65
c)
52.75
d)
52.76
3.
What is the GCF (Greatest Common Factor) of 18 and 30?
a)
6
b)
2
c)
4
d)
18
4.
What is 4³
a)
12
b)
64
c)
16
d)
36
5.
Which fraction is equivalent to 6/8?
a)
2/4
b)
12/20
c)
3/5
d)
3/4
6.
Write 6⅔ as an improper fraction.
a)
20/3
b)
21/3
c)
6.23
d)
20/6
7.
Write this decimal as a fraction in simplest form.
0.15
0.15
a)
3/50
b)
4/20
c)
3/20
d)
15/100
8.
Add these fractions and put in simplest form.
1/4 + 1/3 =
1/4 + 1/3 =
a)
1/12
b)
1/6
c)
7/12
d)
2/6
9.
Subtract these fractions and put in simplest form.
5/6 - 1/3 =
5/6 - 1/3 =
a)
3/6
b)
2/3
c)
1/3
d)
1/2
10.
Multiply these fractions and put into simplest form.
3/5 x 2/3
3/5 x 2/3
a)
6/15
b)
5/8
c)
2/5
d)
2/10
11.
Divide these fractions.
9/16 ÷ 3/4
9/16 ÷ 3/4
a)
2/4
b)
3/4
c)
5/4
d)
3/5
12.
What is the area of a square with a side length of 5 cm?
a)
25 cm²
b)
20 cm²
c)
100 cm²
d)
10 cm²
13.
What is the area of a triangle with a base of 5 cm and a height of 10 cm?
a)
50 cm²
b)
75 cm²
c)
100 cm²
d)
25 cm²
14.
Multiply:
.32 x .18
.32 x .18
a)
.576
b)
0.00576
c)
0.0576
d)
5.76
15.
What is the absolute value of 5?
a)
5
b)
-5
c)
0
d)
10
16.
What are the multiples of 9?
a)
9, 12, 15, 18, 21
b)
9, 18, 27, 36, 45, 54
c)
3, 6, 9, 12, 15, 18
d)
9, 19, 29, 39, 49, 59
17.
Is 2 a prime or composite number?
a)
Prime
b)
Composite
18.
Is 29 prime or composite?
a)
Prime
b)
Composite
19.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5, 25
c)
1, 25
d)
1, 5
20.
What is the least common multiple (LCM) of 5 and 20?
a)
4
b)
5
c)
20
d)
100
21.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
22.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
23.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
24.
What does perimeter mean?
a)
the amount of space inside a shape
b)
the distance around the shape
c)
the amount of space inside a shape divided by two
d)
half the distance around a shape
25.
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
26.
What is the perimeter of this rectangle?
a)
21 units
b)
12 units
c)
3 units
d)
None of the above.
27.
Solve the equation:
x + 7 = 12
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = -5
d)
x = 84
28.
Mary's recipe uses 3 cups of flour to make crusts for 2 pies. How many cups of flour will Mary need to make 9
pies?
a)
8 1/2 cups
b)
13 1/2 cups
c)
15 cups
d)
18 cups
29.
A family of 2 adults and 3 children went to a movie. The tickets cost $8 for adults and $5 for children. Which
expression represents the total cost of the tickets?
a)
(2 . 8) + (5 . 3)
b)
2 + 3 + 8 + 5
c)
(5 . 8) + (2 . 3)
d)
(3 . 8) + (4 . 5)
30.
Which algebraic expression represents 8 less than a number, m?
a)
m - 8
b)
8 - m
c)
8 ≤ m
d)
m ≥ 8
31.
Brenda is 8 years old. She is c years older than Bronson. Which expression represents Bronson's age?
a)
8 - c
b)
8 + c
c)
c - 8
d)
8 x c
32.
What is the value of
66 ÷ 11 + 7 . (2 + 14) ?
66 ÷ 11 + 7 . (2 + 14) ?
a)
29
b)
34
c)
118
d)
208
33.
What is the value of
2x + 8
when x = 3?
2x + 8
when x = 3?
a)
13
b)
14
c)
22
d)
31
34.
What shape is this?
a)
Triangle
b)
Square
c)
Trapezoid
d)
Rectangle
35.
65.32÷2.3
a)
0.28
b)
28.4
c)
0.284
d)
2.84
36.
What is the LCM of 7 and 8?
a)
7
b)
8
c)
42
d)
56
37.
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
38.
What is equivalent to 5 squared?
a)
25
b)
10
c)
55
d)
30
39.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
40.
What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.
a)
40 + c = 39.98
b)
30.98 + c = 40
c)
c - 40 = 39.98
d)
c - 39.98 = 40
41.
5 x (7 -2) + (8+1)
a)
70
b)
77
c)
42
d)
34
42.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
43.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
44.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
45.
Which inequality is represented by this graph?
a)
-9 > c
b)
-9 < c
c)
-9 ≥ c
d)
-9 ≤ c
46.
Mrs Dee wants to fence an area that is 8 feet by 10 feet that will keep her baby Ginger safe. How much fence will she need?
a)
36 feet
b)
80 sq ft
c)
80 ft
d)
40 feet
47.
Sara wants to buy wood to make a frame for her picture. Her picture is a 12" by 10" rectangle. What is the total length of the wood strips she will need for her project?
a)
120 sq inches
b)
44 sq inches
c)
44 inches
d)
60 inches
48.
Find the area.
a)
126 ft2
b)
39 ft2
c)
156 ft2
d)
80 ft2
49.
How would you find the AREA of a RECTANGLE?
a)
1/2 (Length x width)
b)
Base x Height
c)
Length x Length
d)
Width x Width
50.
How do you find the AREA of a TRIANGLE?
a)
Length x Width
b)
1/2 (Length x width)
c)
1/3 (Length x width)
d)
Base x Height
51.
a)
32
b)
28
c)
34
d)
24
52.
Simplify 2(3x + 5)
a)
6x + 10
b)
23x + 5
c)
6x + 5
d)
11x
53.
a = 3, b = 5, c = 1
(2(b + c))
÷ a
(2(b + c))
÷ a
a)
6
b)
4
4
4
c)
10
d)
18
54.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
55.
Convert 3/5 into a decimal
a)
0.666
b)
0.6
c)
1.667
d)
3.5
56.
Which quadrant is Point A located in
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
57.
What is the opposite of -8?
a)
-8
b)
0
c)
8
d)
1/8
58.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
59.
What is the absolute value of | -7 |?
a)
-7
b)
7
c)
-7 and 7
60.
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
61.
Find the missing term in the equivalent ratio
35 : 25=___: 5
35 : 25=___: 5
a)
5
b)
7
c)
6
d)
8
62.
Express the percent as a decimal
37%
37%
a)
.2
b)
3.7
c)
.37
d)
37
63.
Express the decimal as a percent
.07
.07
a)
.7%
b)
7%
c)
70%
64.
what is 55% of 600?
a)
330
b)
33
c)
3.3
65.
A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location?
a)
-300
b)
-1300
c)
-3300
d)
300
66.
Suppose that a stove and a freezer together weigh at least 370 pounds. The weight of the stove is 170 pounds. Which inequality correctly describes these conditions for the weight of the freezer, f.
a)
f >= 200
b)
f > 200
c)
f =< 200
d)
F < 200
67.
What is the distance between (-3,5) and (-3, -8)
Hint: draw a graph to help you out!
Hint: draw a graph to help you out!
a)
3 units
b)
6 units
c)
8 units
d)
13 units
68.
Joe will go to the swimming pool on 20 different days this month.
A one-day pass to the pool is $2.25.
A monthly pass to the pool is $30.00
How much money will Joe save by buying a monthly pass?
A one-day pass to the pool is $2.25.
A monthly pass to the pool is $30.00
How much money will Joe save by buying a monthly pass?
a)
$20
b)
$18
c)
$15
d)
$12
69.
Kerry walks 3 miles each day. How far will she walk in 7 days?
a)
10 miles
b)
14 miles
c)
21 miles
d)
24 miles
70.
What percent of the circle is shaded?
a)
25%
b)
50%
c)
75%
d)
100%
71.
Hannah babysits to earn money.
She charges $6.50 to babysit for the first hour.
She chargers $5.75 for each additional hour.
Let n equal the number of hours AFTER the first hour.
Which expression represents how much Hannah charges?
She charges $6.50 to babysit for the first hour.
She chargers $5.75 for each additional hour.
Let n equal the number of hours AFTER the first hour.
Which expression represents how much Hannah charges?
a)
12.25n
b)
6.50 + 5.75n
c)
6.50n + 5.75
d)
6.50n + 5.75n
72.
What is the value of (1/7)3
a)
3/7
b)
1/7
c)
3/343
d)
1/343
73.
A recipe requires 1/4 lb of onions to make 3 servings of soup. Mark has 1 and 1/2 lb of onions. How many servings can he make?
a)
16
b)
17
c)
18
d)
19
74.
Diana can use the equation y = 7x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked.
How many hours did Diana work if she was paid $45.50?
How many hours did Diana work if she was paid $45.50?
a)
5.5 hours
b)
6 hours
c)
6.5 hours
d)
7 hours
75.
Chicago has a temperature of −10 degrees Fahrenheit (°F). It is colder in Minneapolis than in Chicago. Select all the values that could represent the temperature of Minneapolis
a)
12°F
b)
−12°F
c)
−8°F
d)
18°F
76.
The points (4, –6) and (9, –6) represent the location of two towns on a coordinate grid, where one unit is equal to one mile. What is the distance, in miles, between the two towns?
a)
5 units
b)
13 units
c)
6 units
d)
4 units
77.
What are the prime factors of 30? (6.EE.1)
a)
3, 10
b)
5, 6
c)
2, 3, 5
d)
2, 15
78.
Write the .25 as a fraction in its simplest form. (6.RP.3)
a)
25/100
b)
1/4
c)
5/20
d)
1/5
79.
Which inequality is true? (6.NS.7a)
a)
-2 > -5
b)
-5 > -2
c)
-2 < -5
d)
-5 = -2
80.
On Saturday, at Adam's Bakery, every 8th customer will get a free coffee and every 12 customer will get a free bagel. Which customer will be the first to get both? (6.NS.4)
a)
8th
b)
12th
c)
24th
d)
48th
81.
A window is 1 1/10 meters long ad 3/4 meter wide. Which statement about the area of the window is true?
a)
The area is greater than 1 1/10 square meters.
b)
The area is less than 1 1/10 square meters.
c)
The area is equal to 1 1/10 square meters.
d)
The area is equal to 3/4 square meter.
82.
In Jacob's class, there are 4 girls for every 5 boys. There are 27 students in the class. How many are girls?
a)
12
b)
15
c)
16
d)
20
83.
Makenna wrote this inequality to solve a problem: 8x ≾ 60
Which problem is she solving?
Which problem is she solving?
a)
How long can each of 8 people speak so that all of the speeches take less than 60 minutes ?
b)
How many 8-minute speeches are needed so a program lasts at least 60 minutes ?
c)
How many minutes can each of 8 people speak so that speeches are finished in 60 minutes or less ?
d)
How many minutes must each of 8 people speak so a program is more than 60 minutes long?
84.
Which set of numbers is ordered from least to greatest?
a)
- 3, - 7/3, 3.36, 23/7
b)
-3, - 7/3, 23/7, 3.36
c)
-7/3, -3, 3.36, 23/7
d)
- 7/3, -3, 23/7, 3.36
85.
Austin breathed in and out 42 times in 3 minutes. At this rate, how many breaths did he take in 20 minutes?
a)
126
b)
180
c)
280
d)
840
86.
Fifteen out of the 25 people at the park were children. What fraction of the people at the park were adults?
a)
2/3
b)
3/5
c)
2/5
d)
1/3
87.
Wendi takes her family to dinner. She wants to leave an 18% tip for her server. If the dinner bill was $69.50, how much should Wendi leave as a tip?
a)
$51.50
b)
$23.21
c)
$13.90
d)
$12.51
88.
Austin bought 4 pounds of apples for $2.39 per pound and 4 sandwiches for $6 each. He wrote this expression for the amount he spent.
4 x $2.39 + 4 x $6
What expression is equivalent to Austin's expression?
4 x $2.39 + 4 x $6
What expression is equivalent to Austin's expression?
a)
4 ($2.39 + $6)
b)
16 ( $2.39 + $6)
c)
8 ( $2.39 + $6)
d)
8 + $2.39 + $6
89.
Casen makes bird food using a mix of 3 cups of seed to 2 cups of nuts. Nick's mix is 5 cups of seeds to 3 cups of nuts. Joe's mix is 2 cups of seed to 1 cup of nuts. Who uses the greatest ration of nuts to seeds?
a)
Casen
b)
Nick
c)
Joe
d)
All use the same ratio.
90.
Callie needs at least 52 balloons for her party. The balloons come in packages of 6. Which inequality can she solve to find the number of packages of balloon to buy?
a)
6p ≥ 52
b)
52 > 6p
c)
52p > 6
d)
p ≤ 52 ÷ 6
91.
Cameron is packing some comic books in a box to mail. Each comic book weighs c ounces, and the box weighs 14 ounces. Which equation represents the total weight, w, of the box packed with two comic books?
a)
w = 2c + 14
b)
14 + w = 2c
c)
w = 14 - 2c
d)
14c + 2 = w
92.
The volleyball club has raised 85% of the $600 it needs to buy new uniforms. What fraction of the $600 has it raised?
a)
5 / 8
b)
17 / 120
c)
1 / 6
d)
17 / 20
93.
56% of the sixth graders at WOMS ride the bus. What fraction of the sixth graders ride the bus?
a)
14 / 25
b)
5 / 6
c)
3 / 5
d)
23 / 50
94.
Dilcia wants to know how drinking milk affects how tall a Monica grows. Which is the independent variable?
a)
Monica's growth
b)
drinking milk
95.
Carey and Justin are raising money to purchase books for their school's library. The more money they raise, the more books they will be able to purchase for the library.
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase
Which of the variables is dependent?
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase
Which of the variables is dependent?
a)
m
b)
b
96.
Name the DEPENDENT variable from the table below.
a)
minutes
b)
bubbles
97.
Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.
m = the amount of money Sarah will raise
d = the distance Sarah walks
Which of the variables is dependent?
m = the amount of money Sarah will raise
d = the distance Sarah walks
Which of the variables is dependent?
a)
m
b)
d
98.
Find the Surface Area.
a)
15.6m2
b)
96m2
c)
52.3m2
d)
890m2
99.
What do we call this object below?
a)
Net
b)
Triangle
c)
Geometry
d)
y = mx + b
100.
Mario was packing juice boxes into his lunchbox. His lunchbox can hold 144 in3. If the juice boxes measure 3 in x 2 in x 3 in, how many boxes can he fit in his lunchbox?
a)
8
b)
8
c)
18
d)
288
101.
what is the volume?
a)
72
b)
27
c)
1.5
d)
272
102.
The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. Find the surface area.
a)
300 inches
b)
200 inches
c)
275 inches
103.
The volume of this rectangular prism is 88 feet cubed. What is the missing height length?
a)
66 feet
b)
4 feet
c)
7 feet
d)
12 feet
104.
You are putting in a pool at your house in the shape of a rectangular prism. The length is 40 ft, the width is 20 ft and the 3-D height is 12 ft. How much water will be in the pool?
a)
8640 cubic feet
b)
8400 cubic feet
c)
8000 cubic feet
d)
9600 cubic feet
105.
You want to wrap the box in the image. How much wrapping paper would you need?
a)
415 squared cm
b)
489 squared cm
c)
302 squared cm
d)
612 squared cm
106.
A living room is 20 feet long, 50 feet wide, and 12 feet high. How much paint do you need to cover the walls?
a)
1680 feet 2
b)
2680 feet 2
c)
3680 feet 2
d)
4680 feet 2
107.
Hannah bakes a rectangular cake that is 9 inches wide, 13 inches long and 2 inches high. She removes the cake from the pan to frost it. If she frosts only the sides with pink icing, how much pink icing does she need to cover the sides of the cake?
a)
322 in2
b)
234 in2
c)
88 in2
108.
Madi wants to know how many square feet of carpeting she will need to buy to cover her family room floor. Which geometric measure does Madi need to find?
a)
the volume of the room
b)
the surface area of the room
c)
the perimeter of the floor
d)
the area of the floor
109.
A box measures 4 units by 2½ units by 1½ units. What is the greatest number of cubes with a side length of ½ unit that can be packed inside the box?
a)
16
b)
`30
c)
64
d)
120
110.
Ben is painting a cabinet shaped like a rectangular prism. He is going to paint all of the exterior sides except the top and bottom. The cabinet is 6 feet tall, 4 feet wide, and 2 feet deep. What is the surface area of the portion of the cabinet that Ben is going to paint?
a)
36 square feet
b)
48 square feet
c)
72 square feet
d)
88 square feet
111.
Find the surface area of the shape.
a)
1750 square feet
b)
1800 square feet
c)
2000 square feet
d)
2225 square feet
112.
Juan is opening a car repair business. Juan wants to paint the garage walls, ceiling, and floor the same gray color, but he needs to know how much paint to buy. If 1 gallon of paint covers 315 square feet, how much paint should Juan buy?
a)
2500 gal
b)
23 gal
c)
8 gal
d)
7 gal
113.
What does doubling the width, length, OR height of a prism have on its volume?
a)
doubles the volume
b)
triples the volume
c)
halves the volume
d)
doesn't change anything
114.
What is the RANGE of this data
a)
40
b)
95
c)
90
d)
100
115.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
116.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
117.
What percent of students have heights between 60 inches and 66 inches?
a)
75%
b)
50%
c)
100%
d)
25%
118.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
119.
How many teachers spent 3 or more hours grading?
a)
4
b)
2
c)
7
d)
8
120.
What is the range of the data shown in the stem and leaf plot?
a)
40
b)
56
c)
136
d)
96
121.
How many scores are listed in this Stem and Leaf Plot?
a)
3
b)
6
c)
9
d)
18
122.
What is the MEDIAN of this data
a)
95
b)
90
c)
100
d)
40
123.
What is the MODE of this data?
a)
100
b)
20
c)
80, 85, and 90
d)
none
124.
What is the MEAN for this data?
a)
80
b)
1040
c)
13
d)
81
125.
What percent does each of the 4 sections contain on a box and whisker plot?
a)
25%
b)
50%
c)
75%
d)
100%
126.
What is the term for the median of the lower half of the data?
a)
Lower Quartile
b)
Upper Quartile
c)
Median
d)
Maximum
127.
What percentage of the data is between 90 and 140?
a)
25 %
b)
50%
c)
75%
d)
100%
128.
Is a histogram the same as a bar graph?
a)
Yes, because they both use intervals.
b)
No, because a histogram displays numerical data while a bar graph displays categorical data.
c)
Yes, because they both use bars to display data.
d)
No, because a histogram displays categorical data while a bar graph displays numerical data.
129.
How many students have more than 1,000 songs on their MP3 player?
a)
5
b)
16
c)
10
d)
4
130.
What is the middle of the data?
a)
200
b)
100
c)
90
d)
140
131.
What do you do if there are two numbers in "the middle" when you are finding the median?
a)
Pick your favorite number
b)
Add the two numbers in the middle & then divide by two.
c)
They are both the median
d)
None of the above
132.
a)
b)
c)
d)
133.
a)
b)
c)
d)
134.
True of false, 75% of the data values are greater than 18?
a)
True
b)
False, 75% of the values are greater than 16
c)
False, 50 % of the values are greater than 18
d)
False, 25% of the values are greater than 18
135.
According to the plot shown, between what two numbers does half of the data lie?
a)
10 and 12
b)
8 and 12
c)
8 and 14
d)
2 and 20
136.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
137.
Which is NOT true?
a)
The spreads of the low temperatures for Reybold and Picktown are not the same
b)
Neither box plot is symmetrical
c)
The median low temeratures for Reybold and Picktown are different
d)
The lower extreme for Picktown is approximately 5 degrees lower than the lower extreme for Reybold
138.
Which box and whisker plot shows more "spread out" data?
a)
Top plot
b)
Bottom plot
139.
24. How many of the students had an ACT composite score of at least 20?
a)
12
b)
15
c)
20
d)
Cannot be determined
140.
21. How many students are represented by the histogram?
a)
Cannot be determined
b)
9
c)
31
d)
35
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