Grade 6 Mathematics
Reference Materials
0
LENGTH
Customary
Metric
1 mile (mi) = 1,760 yards (yd)
1 kilometer (km) = 1,000 meters (m)
1 yard (yd) = 3 feet (ft)
1 meter (m) = 100 centimeters (cm)
1 foot (ft) = 12 inches (in.)
1 centimeter (cm) = 10 millimeters (mm)
VOLUME AND CAPACITY
Customary
1 gallon (gal) = 4 quarts (qt)
Metric
1 liter (L) = 1,000 milliliters (mL)
1 quart (qt) = 2 pints (pt)
1 pint (pt) = 2 cups (c)
1 cup (c) = 8 fluid ounces (fl oz)
0
WEIGHT AND MASS
Customary
co
Metric
1 ton (T) = 2,000 pounds (lb)
1 kilogram (kg) = 1,000 grams (g)
1 pound (Ib) = 16 ounces (oz)
1 gram (g) = 1,000 milligrams (mg)
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392
Grade 6 Mathematics
Reference Materials
AREA
CD
v
Triangle
1 bh
A=—
2
Rectangle or parallelogram
A = bh
Trapezoid
1
A=—
2(b1 + b 2 ) h
VOLUME
Rectangular prism
V = Bh
c
E
ti
C
391
1.•
49
Find the quotient.
51 Tracy recorded the low temperatures at her house for 5 days in January.
—144 ÷ —8
A
Monday
18
B
144
C
—18
D
—144
8.1°C
2
Tuesday
Wednesday
Thursday
2.4°C
—1.9°C
3°C
Friday
—
7
10
°C
Which list shows the days in order from warmest to coldest?
A
50
Signs along a hiking trail are posted every mile. Which shows how far it is
between signs?
F
220 yards
G
440 yards
H
660 yards
52
Monday, Wednesday, Friday, Tuesday, Thursday
B
Monday, Thursday, Tuesday, Wednesday, Friday
C
Thursday, Tuesday, Friday, Wednesday, Monday
D
Thursday, Monday, Tuesday, Wednesday, Friday
56% of the sixth graders at Wilson Middle School ride the bus. What fraction of
the sixth graders ride the bus?
14
F 25
G
J 880 yards
H
3
5
23
50
GO ON
360 Practice Test 1
Practice Test 1 361
45 Ian surveyed some people to find how many movies they have seen this year. His
results are shown in this histogram.
47 The graph shows the relationship between the number of bouquets of flowers a florist
makes and the number of flowers he uses.
Movies Watched This Year
• 12
-CI 10
0
100
...,..,
,s
•
Number of Flowers
o_
O 5
f
4
•
n 2
z o
0-5 6-10 11-15 16-20 21-25
Number of Movies
How many people saw 15 or fewer movies?
A
19
B
17
c
9
D
7
80
60
40
20
0
1
2
3
4
Number of Bouquets
5
b
What equation can the florist use to describe the relationship?
A
b = 20f
C
b + f = 20
B
f = 20b
D
b + 20 = f
48 This histogram shows the weights of Naomi's goats.
46 The garden club has raised 85% of the $600 it needs to buy wood to build raised
flower beds. What fraction of the $600 has it raised?
16
14
16 12
0
CO 10
Goat Weights
0
G
17
120
N6
z
H
2
20-29 30-39 40-49 50-59 60-69
Weight (pounds)
17
- 20
Based on the histogram, which statement is true?
F Four times as many goats weigh less than 60 pounds as weigh 60 pounds or more.
G
Twice as many goats weigh 40 pounds or more as weigh less than 40 pounds.
Fl More than half of the goats weigh 50 pounds or more.
GO ON
The mean of the goats' weights is 45 pounds.
------------------------------------------------------------------------------------------ 7:1
358 Practice Test
Practice Test 1 359
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G.,
41 Which expression is equivalent to (5 — 2)3 x 135?
43 If two expressions form an equation, the scale is in balance.
A 3'
B
5 x 36
C 56
D
3 x 56
What does the scale show about 2x + 3 and 5?
A 2x + 3 is greater than 5.
B
2x + 3 is less than 5.
C
2x + 3 Is equal to 5.
D
The two expressions form an equation.
42 Anna walked 5 blocks from school to Manuel's house. Then she walked home. She
walked less than 10 blocks in all.
If d is the distance from Manuel's house to Anna's house, which inequality is true?
F
10 — d < 5
G
10 + d < 5
H
5 + d < 10
J
d + 5 > 10
44 Raul finished a 100-meter race in 16.28 seconds. Dean beat Raul in the race.
Which equation could represent the relationship between distance in meters, d,
and time In seconds, t for Dean during the race?
F
d = 5.6t
G
d = 5.2t
H
d = 6.2t
J d = 6.0t
GO ON
GO ON
356 Practice Test 1
Practice Test 1 357
37 Susan walks 10 feet in 4 steps. At this rate, how many steps will it take her to walk
1 mile?
39 What is the solution to the inequality —3p
Record your answer and fill in the bubbles. Be sure to use the correct place value.
0A00@ 00
Og000 00
000800
opv
0000
A
p w 8
B
p<- -8
C
p
D
p? -8
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8
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0000 00
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40 Safe Storage has two sizes of storage units available:
Small: 5.5 feet wide, 10.8 feet long, 8 feet tall
Large: 11 feet wide, 10.8 feet long, 8 feet tall
How many cubic feet greater is the large unit than the small unit?
Record your answer and fill in the bubbles. Be sure to use the correct place value.
00000 00
00000 00
0000 00
38 What is the product —6 x (-5)?
F
—30
G
—1
H
1
3
30
cAceo ap
0000 00
0000
8000
0000
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GO ON
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354 Practice Test 1
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GO ON
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Practice Test 1 355
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33
Greg says that of his property Is woods. How many of his 15.5 acres are
NOT woods?
A
34
35
3-1- acres
Clara earned $112 in 8 hours. How much will she earn if she works for 2 hours at
the same rate?
A
$14
B
$24
B 510 acres
C
$28
C
65 acres
D
$32
D
3
910 acres
36 Max 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?
Mr. Ross wants to get a loan to buy a house. Why is a good credit report
important to him?
F The real estate company will use it to decide whether or not to show him houses.
•
The home owners will use it to decide if he can take care of the house properly.
H
The bank will use it to decide whether or not to lend him money to buy the house.
F w = 2c + 14
EE
'it
The county will use it to decide how much property tax to charge him.
G
14 + w = 2C
H
w = 14 — 2C
3 14c + 2 = w
GO ON
GO ON
352 Practice Test 1
Practice Test 1 353
11
29 Mateo makes bird food using a mix of 3 cups of seed to 2 cups of nuts. Navarro's mix
is 5 cups of seed to 3 cups of nuts. Ramona's mix is 2 cups of seed to 1 cup of nuts.
Who uses the greatest ratio of nuts to seeds?
1 Troy sketched this drawing of his driveway.
12w
A Mateo
B
Navarro
8m
C Ramona
D
All use the same ratio.
7m
Which equation can he use to find the area of the driveway?
30 Elaina 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 (p) of
balloons to buy?
(12 + 7)
2
X8
A
A= (7 x 7) +
B
A = (7 x 7) + (12 x 8)
C
A = 12 X
D
A=
(8 + 7)
2
(8 x 7)
+ (12 7)
2
F 6p z. 52
G
52 > 6p
H
52p > 6
3
p
52 - 6
32 There are 55 trucks and c cars in a parking lot. The equation 55 + c = 78 can be
used to find c. What is the value of c?
F
c = 13
G
c = 23
H
c = 123
3 c = 133
GO ON
350 Practice Test 1
GO ON
Practice Test 1 351
25
This strip represents 100%.
27
Ruby timed her drive to work each day for 2 weeks. Her times, in minutes, were:
18, 22, 19, 20, 17, 21, 21, 26, 20, 21. What is the median number of minutes it
takes Ruby to get to work?
Record your answer and fill in the bubbles. Be sure to use the correct place value.
What is the best estimate of the percent of the strip that is shaded?
II
26
A
10%
B
66i°/o
C
75%
D
90%
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Which box plot shows the least variability in the data?
F
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F
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0 5 10 15 20 25 30 35 40
28
4 I--
4x $2.39 + 4 x $6
<1-i1111+II>
0 5 10 15 20 25 30 35 40
What expression is equivalent to Tom's expression?
H
<
I
0
I
5
I
10
I
15
I
20
I
25
I
30
Tom 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.
I
35
I >
40
F
4($2.39 + $6)
G
16($2.39 + $6)
H
8($2.39 + $6)
3 8 + $2.39 + $6
3
<
I
0
I
5
I
10
I
15
I
I
20 .25
I
30
35
40
Ia
a
GO ON
348 Practice Test 1
Practice Test 1 349
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21 The inside of a drawer is a right rectangular prism 134 inches wide, 18 inches long,
23 Carla 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 Carla leave as a tip?
and 44 inches high. What is the volume of the drawer?
A
972 cubic inches
B
993* cubic inches
C
1,0934 cubic inches
A $51.50
B
i
$23.21
C $13.90
D
$12.51
D ' 1,1724 cubic inches
24 This is Jennifer's checking account register.
.torn.. OepositAp-Autornatic Payment/kVA-Cash VA.dmval.DCOOltfard.Fr.run.Transter.SC-Service Ch•r9e7D-T.DeducatIble
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22 These are descriptions of 3x + 6 = 2y + 2.
'..,
Buddy: 3x + 6 = 2y + 2 shows like terms.
Lacy:
-1
V
Emma: 3x + 6 = 2y + 2 is an equation.
3x + 6 = 2y + 2 shows two equal expressions.
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Who described 3x + 6 = 2y + 2 correctly?
F
✓S'''
Emma
G
Buddy
H
Lacy
3
Emma and Lacy
Ii
i,
le..‘i e-ica,
1
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15
V
The bank says that her balance is $190.80. What mistake did Jennifer make?
F She subtracted wrong.
i li
G
She added wrong.
H
She should have subtracted the service fee.
3 She should have added the debit card transaction.
GO ON
GO ON
346
Practice Test 1
Practice Test 1 347
17 What are the coordinates of point P?
19 Use the number line below.
< I
1 • 1
—20 —15 —10 —5
I
0
5 10 15 20
Which integer is less than —8?
A —2
.P
B
15
C
0
D
—12
A (2, —1.5)
B
(1.5, —1.5)
C ( —1.5, —1.5)
D
(1.5, —1)
20
Lester likes animals. He wants to be either a pet groomer or a veterinarian. To be
a pet groomer, he needs to finish high school and then he will learn on the job.
Pet groomers earn a median income of $19,970 a year.
To be a veterinarian, he will go to college for 8 years after high school. Tuition will cost
about $19,600 each year. Veterinarians earn a median income of $84,460 a year. If
Lester graduates from high school when he is 18 and retires when he is 65, what is
the difference in lifetime earnings for the two jobs?
18 Chelsea uses 3 pounds of apples to make 4 cups of applesauce. How many
pounds of apples does she need to make 6 pints of applesauce?
F
8 pounds
G
9 pounds
H
12 pounds
J
16 pounds
F
$2,198,550
G
$2,215,940
H
$2,355,350
$3,812,820
GO ON
344
GO ON
Practice Test 1
Practice Test 1
345
13 Alex counted the number of oranges in some 10-pound bags of oranges. There were:
21, 18, 25, 22, 16, 19, 23, 22, 21, 22, 20, 19, 21, 18, 22. Which dot plot shows
the data?
•
•
A
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15
I
16
•
•
I
18
I
19
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•
•
•
•
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21
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22
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23
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24
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26
15 Michelle used to be late with her credit card payments. How long will her late
payments stay on her credit report?
A
4 years
B
7 years
C
9 years
D
10 years
•
I
24
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25
I )
26
•
C
•
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15
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17
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26
16 What is the quotient
•
r.
D
•
•
•
15
16
17
18
•
•
•
•
•
19
20
21
•
•
•
22
1
5
F —
•
23
24
25
5
74?
26
G
3
10
▪
▪
10
3
14 Fifteen out of the 25 people at the park were children. What fraction of the people
at the pool were adults?
F
2
3
G
3
5
H—
5
1
3
GO ON
342 Practice Test 1
Practice Test 1
343
9
There are two instructors for every swimming class. The table shows how many people
were in the pool for the past 4 classes.
11 Jay made this table to show the colors of the cars in the school parking lot.
School Parking Lot Car Colors
.',,...7sii2d4iifOeiflipCiO!
TokaT, 11rn.
of Peoplem
12
14
17
19
14
16
15
17
theY-f*ja
Color'
Which equation can be used to find the total number of people, p, in the pool if there
are s students in the pool?
13
Black
10
Silver
12
Blue
8
Red
5
Other
2
A
p = 2s
Based on this table, what is the mode?
B
P— = s
2
A White
C
s +2=p
C
Blue
D
There is no mode.
B
s+p= 2
Number of Cars
White
Black
10 Which set of numbers is ordered from least to greatest?
F
—3,
G
7 23
—3, —3-, 7, 3.36
H
7
23
— 3 1 —3, 3.36 , 7
12 Franco breathed in and out 42 times in 3 minutes. At this rate, how many breaths
did he take in 20 minutes?
3.36, V
F 126
G
H
180
280
840
3
—4,
—3,
273, 3.36
GO ON
------------------------------------------------------------------------------------------340
Practice Test 1
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Practice Test 1
341
5
In the last election 7,220 people voted. 55% of them voted for Ms. Peters for mayor.
How many people voted for Ms. Peters?
Record your answer and fill in the bubbles. Be sure to use the correct place value.
7 What is another way to write the expression 3x3x3x2x2x 2?
A 27 + 23
B
9+6+4
C 3 (3 x 2)
110!°!
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0000 00
0000 00
pooa 00
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D
33 x 23
00
8 The two trapezoids are congruent.
6 The temperature dropped 2 degrees each hour for 6 hours. Which integer shows
the change in temperature over the 6 hobrs?
F
What is the formula for the area of one trapezoid?
—8
G
—12
H
+12
J
+8
F
A = 2(b, + 132 ) x h
G
A =(b+ b 2)h
H
A—
(b, + b,)
2xh
3 A = x (132 + b 2 )
GO ON
GO ON
338 Practice Test 1
Practice Test 1 339
1 A window is 1-1
L
-0 meters long and meter wide. Which statement about the area of the
window is true?
A
3
The area is greater than lilt) square meters.
B
The area is less than 110square meters.
C
The area is equal to 11
1
7,) square meters.
D
The area is equal to 3-r square meter.
4
2
In Virgil'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
Lucinda wrote this inequality to solve a problem.
What equation can be used to find the radius, r, of this circle?
8x s 60
Which problem is she solving?
F
r x 2 = 22.6
G
r ÷ 2 = 22.6
H
22.6
3 IT X
r = ,er
F
How long can each of 8 people speak so that all of the speeches take less than
60 minutes?
G
How many 8-minute speeches are needed so a program lasts at least 60 minutes?
H
How many minutes can each of 8 people speak so that speeches are finished in
60 minutes or less?
3 How many minutes must each of 8 people speak so a program is more than
60 minutes long?
r = 22.6
GO ON
336 Practice Test 1
Practice Test 1 337
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Practice Test 1
Name:
DIRECTIONS
Read each question carefully. For a multiple-choice question,
determine the best answer to the question from the four answer
choices provided. For a griddable question, determine the best
answer to the question. Then fill in the answer.
335