Includes multiple choice, constructed response, and writing-in-math items
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Grade 4 Fractions
Supporting
Materials
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Assessment Sourcebook
NYC
Review Sample
YC
l.com/N
• Placement Test
• Quick Check Masters
• Topic Tests
• Benchmark Tests
• End-of-Year Test
• Basic-Facts Timed Tests
®
Common Core
NYC_G4_enV_CC_Assessment_CVR.indd 1
11/26/12 2:10 PM
Name
Placement Test
Mark the best answer.
1. Which number means the same as
80,000 5,000 600 20 5?
4. Which shows 296 rounded to the
nearest ten?
A 8,005,625
A 200
B 850,625
B 290
C 805,625
C 300
D 85,625
D 310
2. Look at the fraction model below.
5. What fraction is shown on the
number line?
Which choice gives the unit
fraction for each part of the whole
and the fraction of the whole that
is shaded?
3
A __
4
1,
B __
8
1,
C __
6
1,
D __
4
1
A __
4
1
B __
2
3
C __
4
1
D 1__
4
3
__
8
3
__
6
2
__
4
6. The cafeteria sold 128 ham
sandwiches, 36 cheese
sandwiches, and 45 salads. About
how many sandwiches were sold?
3. Which list shows the numbers in
order from least to greatest?
A 220
B 190
A 3,546; 3,654; 3,564
C 170
B 3,564; 3,654; 3,546
D 130
C 3,546; 3,564; 3,654
D 3,654; 3,564; 3,546
Topic 1 1 of 4
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Name
10. What is the area of this shape?
7. What is the perimeter of this
shape?
5 ft
5 in.
3 ft
4 in.
A 16 square feet
B 16 feet
A 18 inches
C 15 square feet
B 18 square inches
D 15 feet
C 20 inches
D 20 square inches
11. Which number sentence describes
the stamps below?
8. Last Saturday, Marge drove to the
mountains. She drove 238 miles in
the morning and 154 miles in the
afternoon. How many more miles
did she drive in the morning than
in the afternoon?
A 392 miles
B 328 miles
A 347
C 124 miles
B 448
D 84 miles
C 3 5 15
9. Which is the best estimate of the
mass of a small dog?
D 3 4 12
6?
12. Which fraction is equivalent to __
8
A 40 kilograms
4
A __
5
3
B __
4
2
C __
3
1
D __
2
B 4 kilograms
C 400 grams
D 40 grams
Topic 1 2 of 4
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Name
13. Miguel bought 2 bags of
oranges. There are 8 oranges
in each bag. Which number
sentence shows how many
oranges Miguel bought?
15. Look at the pictograph below. How
many more students chose dogs as
their favorite pets than cats?
Students’ Favorite Pets
Pets
Number of Votes
A 826
Cat
B 8 2 10
Dog
C 2 8 16
Fish
D 824
Hamster
KEY: Each
equals 3 students
A 4
B 6
14. Carla is putting some pictures in
an album. If she puts 6 pictures on
each page, how many pictures are
on 8 pages?
A 48 pictures
C 12
D 18
16. Which of the following is a right
angle?
B 40 pictures
C 15 pictures
A
D 8 pictures
B
C
D
Topic 1 3 of 4
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Name
17. Which shape has four right angles
and all sides equal in length?
A Rectangle
C Square
B Rhombus
D Trapezoid
21. How many wheels are on
4 wagons?
Wagons
Wheels
1
4
2
8
3
12
4
?
18. Which of the following number
sentences does NOT belong in
the same fact family?
A 4 8 12
C 32 4 8
B 4 8 32
D 32 8 4
19. Look at the number lines below.
0
_1
_2
_3
_4
_5
6
6
6
6
6
B 18
D 14
22. Which division sentence is shown
by the repeated subtraction?
A 27 9 4
Which is a correct statement?
8
6
5
3
B __ __
8
6
C 16
27 9 18
18 9 9
990
1
0 _18 _28 _38 _48 _58 _68 _78 1
5
3 __
A __
A 20
B 27 9 3
C 18 2 9
3 __
5
C __
6
8
3
3
D __ __
6
8
D 36 4 6
20. What is the area of the irregular
figure?
23. Which value for b will make the
equation true?
15 b 22
A b2
C b7
B b6
D b9
24. Tom arrived for a meeting at
8:55 A.M. He was 25 minutes late
for the start of the meeting. At
what time did the meeting start?
A 20 square units
B 14 square units
C 12 square units
D 10 square units
Topic 1 4 of 4
A 8:45 A.M.
C 8:25 A.M.
B 8:30 A.M.
D 8:20 A.M.
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Quick Check
Name
11-1
1. Sal has 13 stamps arranged in an
array. Which of the following shows
an array he could use?
A 13 3 2
2. Danna has 39 coins. She wants to
display them in an array. Which of
the following describes all of the
arrays she can make?
A 1 by 39
B 1 3 13
B 3 by 13, 13 by 3
C 2 3 7
C 1 by 39, 3 by 13
D 3 3 4
D 1 by 39, 39 by 1, 3 by 13, 13 by 3
3. A store has 45 cans of soup. The
store manager wants to display
the soup in an array. Which of the
following shows 3 ways the soup
could be displayed?
A 1 by 9, 9 by 5, 3 by 15
B 15 by 3, 9 by 1, 5 by 9
C 5 by 9, 3 by 15, 9 by 5
D 45 by 1, 15 by 1, 9 by 1
4. Writing to Explain Mr. Deets is making an array to display
16 pictures. For each pair of different factors, there are
two arrays he can make. How many different arrays can he
make? Is the number odd or even? Explain.
Q 11•1
MTH12_ANC4_TRM_Q11_01.indd 79
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30/07/11 12:05 AM
Quick Check
Name
1. Kyle has 17 toy trucks. How many
ways can the trucks be placed in
equal groups?
A 5 ways
B 4 ways
11-2
2. The number of candles Sabrina
has is a prime number. Which
expression shows the number of
ways she can group her candles
if c represents the number of
candles?
C 3 ways
A c 3 1, 1 3 c
D 2 ways
B c 3 1
C 1 3 c, 17 3 c
D 17 3 c, c 3 1
3. At a marina there are 51 boats.
How many ways can the boats
be placed in equal groups?
A 2 ways
B 4 ways
C 8 ways
D 16 ways
4. Writing to Explain Larry says that all numbers that have
a 2 in the ones place are composite numbers. Explain why
Larry would say that and if his rule is correct or incorrect.
Q 11•2
MTH12_ANC4_TRM_Q11_02.indd 79
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30/07/11 12:05 AM
Quick Check
Name
1. Latifa and John played a game
of multiples. Each player picks a
number card and says a multiple
of that number. Latifa picked a 9.
Which number is a multiple of 9?
A 17
11-3
2. A roller-coaster ride completes
a full loop every 3 minutes. Sven
listed multiples of 3 to find when
the ride would be back to its
starting point. Which are multiples
of 3?
B 29
A 3, 6, 9, 12, 15
C 37
B 3, 13, 23, 33, 43
D 45
C 3, 9, 15, 21, 25
D 1, 2, 3, 6, 9
3. In which pair of numbers is the
first number a multiple of the
second number?
4. Which number is NOT a multiple
of 6?
A 12
A 38, 4
B 18
B 27, 9
C 23
C 32, 6
D 42
D 24, 5
5. Writing to Explain What is the least multiple the numbers
6 and 8 have in common? Explain how you found your answer.
Q 11•3
MTH12_ANC4_TRM_Q11_03.indd 37
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30/07/11 12:05 AM
Quick Check
Name
1. Which fraction is equivalent to __
​ 86 ​?
A ​ __24 ​
11-4
2. Which picture shows a fraction
​ 61 ​?
equivalent to __
A
B __
​ 35 ​
C __
​ 34 ​
D __
​ 56 ​
B
C
D
3. Writing to Explain Use fraction strips to show __
​ 13 ​, __
​ 26 ​, and one
​ 26 ​name the same part of one whole?
whole. Do __
​ 13 ​and __
Q 11•4
MTH12_ANC4_TRM_Q11_04.indd 43
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30/07/11 12:04 AM
Quick Check
Name
In 1 and 2, use the number line below to find the best answer.
P
0
Q
R
1
1. Which two fractions name point P
on the number line?
2. Which two fractions name point R
on the number line?
​ 9  ​ 
A __
​ 3 ​or ___
​ 1  ​ 
A __
​ 5 ​or ___
B __
​ 1 ​or __
​ 3 ​
B ___
​ 10  ​or __
​ 5 ​
C __
​ 2 ​or ___
​ 4  ​ 
C __
​ 3 ​or __
​ 4 ​
D __
​ 1 ​or ___
​ 2  ​ 
D __
​ 2 ​or __
​ 1 ​
4
2
6
6
11-5
12
6
6
12
6
12
12
4
12
6
6
3
3. About _​ 34 ​ of the earth’s surface is water. Which of the following
fractions names the same point on the number line?
3
4
0
1
A __
​ 3 ​
8
B __
​ 4 ​
8
C __
​ 5 ​
8
D __
​ 6 ​
8
4. Writing to Explain A recipe calls for _​ 14 ​ cup of flour.
Carter does not have a quarter-cup measuring cup, though
he has a measuring cup that holds _​ 18  ​cup. Draw a number
line to show a fraction equivalent to _​ 14  ​. How can Carter
use this equivalent fraction to measure the flour he needs
for his recipe?
Q 11•5
MTH12_ANC4_TRM_Q11_05.indd 38
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30/07/11 12:04 AM
Quick Check
Name
11-6
1. Use the fraction strips shown.
Which choice shows
a correct comparison?
2. Use the fraction strips shown.
Which choice shows a
correct comparison?
1
 ​_14 ​ 
 ​_18 ​ 
_​ 1 ​ 
_​ 1  ​
4
_​ 1  ​
8
_​ 1 ​ 
8
_​ 1  ​
4
_​ 1 ​ 
8
_​ 1  ​
8
1
_​ 1 ​ 
8
_​ 1 ​ 
8
_​ 1 ​ 
_​ 1 ​ 
4
3
_​ 1 ​ 
_​ 1  ​
8
6
A ​ _38  ​, _​ 34 ​ 
_​ 1 ​ 
3
3
 ​_16  ​
 ​_16 ​ 
 ​_16  ​
 ​_16 ​ 
 ​_16 ​ 
A ​ _13  ​, _​ 16 ​ 
B _​ 34  ​, _​ 38 ​ 
B _​ 36  ​, _13 ​ 
C _​ 18 ​ . _​ 14 ​ 
C _​ 46 ​ . _​ 36 ​ 
D _​ 14 ​ . _​ 38 ​ 
D _​ 23 ​ , _​ 46 ​ 
3. Writing to Explain Which fraction is greater, _​ 45  ​or _​ 48 ​?
 
Use words and draw models to explain your answer.
Q 11•6
MTH12_ANC4_TRM_Q11_06.indd 67
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30/07/11 12:05 AM
Quick Check
Name
1. Which of the following shows
fractions in order from least
to greatest?
11-7
2. Which of the following shows
fractions in order from greatest
to least?
A _​ 12 , ​ _​ 34 ​,  _​ 78 ​ 
A _​ 14 ​,  _ ​24 ​,  _​ 34 ​ 
B _​ 45 , ​ _​ 13 ​,  _​ 28 ​ 
B _​ 38 ​,  _ ​14 ​,  _​ 34 ​ 
C _​ 34 ​,  _​ 68 ​,  _​ 18 ​ 
5
C _​ 34 ​,  _​ 23 ​,  __
​ 10
  ​ 
D _​ 36 ​,  _​ 26 ​,  _​ 16 ​ 
D _​ 16 ​,  _​ 13 ​,  _​ 12 ​ 
3. Writing to Explain Use equivalent fractions to order these
5
4 _
​ 12
  ​,  ​   ​.  Explain the steps
fractions from least to greatest: _​ 23 ​,  _​ 12 ​,  __
6
you took to find your answer.
Q 11•7
MTH12_ANC4_TRM_Q11_07.indd 73
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30/07/11 12:05 AM
Quick Check
Name
11-8
1. While testing 10 light bulbs, Harvey
finds that 6 of them do not light.
Which best describes the fraction
of light bulbs that are working?
A number of light bulbs that are
not working/total number of
light bulbs
2. Timmy weighs 85 pounds. This is
5 times as much as his bicycle.
Which of these models would you
use to explain how much Timmy’s
bicycle weighs?
85 lb
A
B
B number of light bulbs that are
working/number of light bulbs
not working
B
C number of light bulbs that are
not working/number of light
bulbs working
C
D number of light bulbs that are
working/total number of
light bulbs
D
B
B
B
B
weight of bicycle
85 85 85 85 85
85 lb
B
B
B
B
B
B
B
B
weight of bicycle
85 85 85 85 85 85 85 85
3. Writing to Explain Ted is building a brick patio with red and gray bricks. He
uses a pattern in which the number of red bricks increases by two as the
number of gray bricks increases by one. When Ted has 5 gray bricks, how
many red bricks will he need? Draw a diagram and explain.
Q 11•8
MTH12_ANC4_TRM_Q11_08.indd 79
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30/07/11 12:05 AM
Quick Check
Name
12-1
In 1 through 3, use fraction strips to add. Simplify if possible.
2. There are 10 players in a soccer
club. Three of the players are in
fifth grade. Five of the players are
in sixth grade. What fraction of
the players are in fifth and sixth
grade?
3
5
1
1. __
​ 12
   ​ + ​ __  ​  + ​ __   ​ 12
12
A __​ 56 ​
B __​ 34 ​
7
  ​ 
​ 12
C __
D __​ 12 ​
A __​ 14 ​
B __​ 12 ​
C __​ 23 ​
D __​ 45 ​
3. Writing to Explain The table shows the distances David
hiked on each day of a camping trip.
Day
Distance
Thursday
__
​ 1 ​mile
Friday
__
​ 2 ​mile
Saturday
__
​ 2 ​mile
Sunday
__
​ 3 ​mile
8
8
8
8
How far did David hike Thursday and Friday?
How far did David hike Saturday and Sunday?
How far did David hike during his camping trip?
Show your work.
Q 12•1
MTH12_ANC4_TRM_Q12_01.indd 68
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30/07/11 12:42 AM
Quick Check
Name
12-2
Add the fractions. Simplify, if possible.
3
   ​ of a yard of red ribbon
2. Rosa has ​ __
10
2
  ​  of a yard of blue ribbon.
and ​ __
10
How much red and blue ribbon
does she have?
1
3
2  ​  + ​ ___
  ​  + ___
​ 12
  ​ 
1. ​ ___
12
12
​ 3   ​
A ___
12
​ 1 ​
B __
2
__
​ 1 ​ of a yard
2
​ 35 ​ of a yard
B __
​ 45 ​ of a yard
C __
​ 9  ​  of a yard
D ___
10
​ 3 ​
C __
4
A
​ 5 ​
D __
6
3. Writing to Explain An ice cream shop has four different shake flavors:
3
  ​  of the shakes they
chocolate, vanilla, strawberry, and banana. One day, ​ __
10
4
1
2
__
__
  ​  were vanilla, ​     ​ were strawberry, and ​     ​ were banana.
sold were chocolate, ​ __
10
10
10
Chocolate
Vanilla
Strawberry
Banana
3
10
4
10
1
10
2
10
What fraction of the shakes sold were strawberry or chocolate? What fraction were chocolate, vanilla, or strawberry? Show
your work.
Q 12•2
MTH12_ANC4_TRM_Q12_02.indd 74
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30/07/11 12:38 AM
Quick Check
Name
12-3
In 1 through 3, use fraction strips to find each difference.
Simplify, if possible.
​ 5  ​ 
1. ___
​ 9   ​– ___
12
12
​ 35 ​
2. __
​ 45 ​– __
1 ​
A ​ __
4
​ 75 ​
A __
​ 7   ​
B ___
10
​ 1 ​
B __
3
​ 25 ​
C __
​ 5   ​
C ___
12
​ 15 ​
D __
​ 14  ​
D ___
12
3. Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.
Then she cuts 5 of the sections off to make into placemats. What fraction
of the fabric is left?
​ 2 ​
A __
8
​ 3 ​
B __
8
​ 4 ​
C __
8
​ 5 ​
D __
8
8   ​of a pound of raisins. He used __
3   ​of a
​ 10
4. Writing to Explain Michael had __
​ 10
pound of raisins to make trail mix. What fraction of a pound of raisins does
he have left? Draw fraction strips to show how you solved the problem.
Q 12•3
MTH12_ANC4_TRM_Q12_03.indd 80
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30/07/11 12:38 AM
Quick Check
Name
12-4
In 1 through 3, find each difference.
Simplify if possible.
1. ___
​ 7  ​ − ___
​ 3  ​ 
10
10
7   ​− ___
2. ​ ___
​ 5  ​ 
12
12
1  ​ 
A​ ___
12
A 1
4 ​
B​ __
5
1 ​
B​ __
6
1 ​
C​ __
2
1 ​
C​ __
2
2 ​
D​ __
5
12  ​
D​ ___
12
3. Of the fifth graders at Oak Elementary, _​ 68 ​ are in band. What fraction of the
fifth-grade students are NOT in band?
1 ​
A​ __
4
3
 ​
B​ __
8
1 ​
C​ __
2
5
 ​
D​ __
8
4. Writing to Explain Darin completed _​ 18 ​ of his homework before dinner
and _​ 58  ​of his homework after dinner. What fraction of his homework does
he have left to complete? Explain how you got your answer.
Q 12•4
MTH12_ANC4_TRM_Q12_04.indd 86
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30/07/11 12:38 AM
Quick Check
Name
12-5
1. Which equation is represented on
the number line?
3
6
0
4
6
2. Which equation is represented on
the number line?
1
0
​ 1 ​= __
​ 3 ​= __
​ 1 ​
A __
​ 4 ​– __
6
2
6 6
5
1
4
__
__
__
B ​   ​+ ​   ​= ​   ​
2
5
3
5
​ 15 ​= __
​ 15 ​
A __
​ 25 ​– __
B __
​ 25 ​– __
​ 15 ​= __
​ 35 ​
6
6
6
4
1
2
C __
​   ​– __
​   ​= __
​   ​
6 6
6
D __
​ 4 ​+ __
​ 1 ​= __
​ 6 ​= 1
6
6
6
C __
​ 25 ​+ __
​ 15 ​= ___
​ 3  ​ 
D __
​ 25 ​+
__
​ 15 ​=
10
__
​ 35 ​
3. Which number line illustrates the following problem?
To get to his grandmother’s house, Juan ran _​ 38 ​ of a mile. Then
he walked _​ 28 ​ of a mile. How far is it to his grandmother’s house?
A
B
C
D
0
1
0
1
0
1
0
1
6
4. Writing to Explain Alex hiked __
​ 12
  ​ of a trail; then he stopped
4
  ​ of the trail; then
​ 12
to have a snack. Then he hiked another __
he stopped to rest. What fraction of the trail had Alex hiked
when he stopped to rest? Draw a number line and explain
how you found your answer. Simplify your answer.
Q 12•5
MTH12_ANC4_TRM_Q12_05.indd 92
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30/07/11 12:38 AM
Quick Check
Name
1. Look at the model below. Which
mixed number and improper
fraction describe the shaded part
of the model?
12-6
2. Which choice below shows the
   ​written as a
improper fraction __
​ 11
3
mixed number?
A 4_13  ​
​ 15
  ​ 
A 3​ _34 ​;  __
4
B 3​ _23  ​
B 4​ _14 ​;  __
​ 15
  ​ 
4
C 2​ _12 ​ 
C 4​ _34 ​;  _​ 64 ​ 
D 2​ _13 ​ 
D 3​ _14 ​;  _​ 64 ​ 
3. Writing to Explain Write the mixed number 4​ _12 ​ as an
improper fraction. Draw a model and explain your thinking.
Q 12•6
MTH12_ANC4_TRM_Q12_06.indd 61
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30/07/11 12:38 AM
Quick Check
Name
12-7
For 1 through 3, use fraction strips to find each sum or difference.
5
7 ​+ 4​ __
 ​? 1. What is the sum of 6​ __
8
3
1 ​− 2​ __
2. What is the difference of 5​ __
 ​?
5
5
8
1 ​
A 10​ __
A
8
__
B 10​ 1 ​
2
__
C 11​ 12 ​
5
 ​
D 11​ __
8
3
 ​
2​ __
5
1 ​
B 2​ __
2
4 ​
C 1​ __
5
3
 ​
D 1​ __
5
3
1 ​cups of oats and 1​ __
3. Lou used 3​ __
 ​cups of raisins in a recipe.
8
8
How many more cups of oats did Lou use than raisins?
A
1 ​more cups
1​ __
4
__
B 1​ 34 ​more cups
1 ​more cups
C 4​ __
2
__
D 5​ 12 ​more cups
4. Writing to Explain Use the models of mixed numbers below
to answer a and b.
1
1
1
6
1
1
6
1
6
1
1
6
1
6
1
6
1
6
1
6
a Write a mixed number for each model.
b Explain how you can use the models to find how much
greater one mixed number is than the other.
Q 12•7
MTH12_ANC4_TRM_Q12_07.indd 27
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30/07/11 12:38 AM
Quick Check
Name
12-8
3
2 ​and 2​ __
 ​?
1. What is the sum of 4​ __
5
5
3
1 ​.
2. Find the sum of 3​ __
 ​+ 1​ __
8
2 ​
A 6​ __
5
4 ​
A 3​ __
8
B 7
B
1 ​
C 7​ __
5
1 ​
C 4​ __
2
4 ​
D 7​ __
5
8
3
 ​
4​ __
8
1 ​
D 5​ __
4
7 ​miles from his home to the train
3. Mr. Romano walks 1​ __
8
5
 ​miles to work. How many
station. Then he takes the train 9​ __
8
total miles does Mr. Romano travel to get to work?
1 ​
A 11​ __
2
3
 ​
B 11​ __
8
3
 ​
C 10​ __
4
1 ​
D 10​ __
8
4. Writing to Explain A recipe calls for bread flour and
whole-wheat flour. What is the total amount of flour used
in the recipe? Express your answer as a mixed number in
simplest form. Show your work.
Recipe
bread flour
whole-wheat flour
9
1 cups
12
8
1 cups
12
milk
1 cup
water
2 cups
sugar
1 3 cups
12
yeast
2 tablespoons
Q 12•8
MTH12_ANC4_TRM_Q12_08.indd 33
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30/07/11 12:38 AM
Quick Check
Name
12-9
1. What is the difference of
5
1 ​− 4​ __
2. Find the difference of 8​ __
 ​.
6
1 ​− 1​ __
4 ​?
6​ __
5
5
A
B
C
D
6
1 ​
A 3​ __
6
2 ​
B 3​ __
6
1 ​
C 4​ __
6
2 ​
D 4​ __
6
2 ​
4​ __
5
3
 ​
4​ __
5
2 ​
5​ __
5
3
 ​
5​ __
5
3. Some of the largest insects are beetles. The Titanus beetle
7
  ​ centimeters in length and the Giant Weta
can measure 16​ __
10
5
   ​centimeters in length. How much
beetle can measure 8​ __
10
longer is the Titanus than the Giant Weta?
1 ​centimeters
A 25​ __
5
1 ​centimeters
B 9​ __
5
2 ​centimeters
C 8​ __
3
1 ​centimeters
D 8​ __
5
4. Writing to Explain Jessie is building a doghouse. For one
9
  ​ feet long. She
side of the roof, she needs a board that is 7​ __
12
1
__
has a board that measures 9​ 12   ​feet. How much of the length
does she need to cut from the board? Show your work.
9
7 12 feet
Q 12•9
MTH12_ANC4_TRM_Q12_09.indd 39
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30/07/11 12:38 AM
Quick Check
Name
12-10
Answer the questions below.
1. What is another way to show _​ 14 ​ + _​ 34 ​?
 
A _​ 14  ​+ _​ 14 ​ + _​ 14 ​ 
B _​ 12  ​+ _​ 14 ​ 
C _​ 34 ​ + _​ 34 ​ 
D _​ 24 ​ + _​ 14 ​ + _​ 14 ​ 
3
5
7
__
__
2. What is another way to show __
​ 12
  ​ + ​    ​ + ​    ​?
 
12
12
3
4
4
4
__
__
__
  ​ + ​    ​ + ​    ​ + ​    ​ 
A __
​ 12
12
12
12
B __
​ 11
  ​
12
C 1 + _​ 34 ​ 
1
1
1
1
1
__
__
__
__
D __
​ 12
  ​ + ​    ​ + ​    ​ + ​    ​ + ​    ​ 
12
12
12
12
3. Writing to Explain Ethan used ​ _78 ​ cup of white rice and
_​ 6  ​cup of brown rice. How much rice did Ethan use in all?
8
Suppose Ethan has three other types of rice—long grain,
short grain, and jasmine rice. What is another way he can
combine these three types of rice to equal the total of the
white and brown rice? Draw fraction strips to show your answer.
Q 12•10
MTH12_ANC4_TRM_Q12_10.indd 13
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8/2/11 12:22 PM
Quick Check
Name
12-11
For 1 and 2, you may draw a picture and write an equation to help.
1. Betty mixed _​ 16 ​ pound of peanuts with __
​ 2 ​pound of raisins.
6
How much mix did Betty have in all?
1 ​pound
A​ __
1 ​pound
C​ __
4
__
B​ 1 ​pound
3
2
D 1 pound
2. Jill exercised for 1​_ 13 ​ hour. She did aerobics for _​ 23 ​  hour and
then lifted weights the rest of the time. How long did Jill lift
weights?
2 ​hour
A​ __
1 ​hour
C ​ __
3
__
B​ 45 ​hour
3
__
D ​ 15 ​hour
3. Justin used _​ 14 ​ pound of broccoli to make a stir-fry and _​ 24 ​ pound
of broccoli to make cheddar and broccoli soup. Which picture
can be used to find how much broccoli Justin used in all?
__
​ 2 ​
4
A
B
__
​ 1 ​
4
x
x
__
​ 1 ​
4
C
__
​ 2 ​
4
D
x
__
​ 2​ 
4
?
__
​ 1 ​
4
__
​ 2 ​
4
x
4. Writing to Explain Matt jogged ​ _48 ​ of a mile. Thomas jogged _​ 58 ​ of a mile. How
much farther did Thomas jog? Draw a picture and write an equation to solve.
Q 12•11
MTH12_ANC4_TRM_Q12_11.indd 61
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
8/2/11 12:23 PM
Quick Check
Name
13-1
1. W
hich multiplication equation describes the fraction on the
number line below?
A 6 = ​ __68 ​ × ​ __18 ​
B ​ __68 ​ = 6 × ​ __18 ​
C ​ __18 ​ = ​ __18 ​ × 6
D ​ __18 ​ + 6 = ​ __68 ​
0
1
8
2
8
3
8
4
8
5
8
6
8
7
8
1
2. Which multiplication equation describes the picture below?
A __​ 33 ​ = 3 × 1
B ​ __32 ​ = 3 × 1​ __12 ​
C ​ __31 ​ = 3 × ​ __12 ​
D ​ __32 ​ = 3 × ​ __12 ​
3. W
riting to Explain Mark is slicing tomatoes for 4 members in
his family. Each person will eat ​ __13 ​ tomato. What fraction shows
how many thirds of tomato he will slice?
M
odel the problem using fraction strips. Write your answer as a
multiplication equation with ​ __13 ​ as a factor. Draw your model and
explain how you found your answer.
Q 13•1
MTH12_ANC4_TRM_Q13_01.indd 19
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30/07/11 1:22 AM
Quick Check
Name
13-2
1. Which multiplication equation goes with the picture?
A 3 × ​ __18 ​ = ​ __38 ​
B 3 × ​ __28 ​ = ​ __68 ​ C 4 × ​ __28 ​ = ​ __68 ​
12
  ​
D 6 × ​ __28 ​ = ​ __
8
2. J
ustine feeds her dog ​ __34 ​ cup of dog food each day. Which
multiplication equation shows how much dog food she needs to
feed her dog for one week?
10
  ​ cups
A 7 × ​ __34 ​ cup = ​ __
4
3
4
3
4
3
4
3
4
3
4
3
4
3
4
14
  ​ cups
B 7 × ​ __43 ​ cup = ​ __
4
3
21
 ​ cup = ​ __
  ​ cups
C 7 × ​ __
4
4
28
  ​ cups
D 7 × ​ __34 ​ cup = ​ __
4
3. W
riting to Explain Gabe is making 5
capes. He uses ​ __23 ​ yard of fabric for each
cape he makes. What is the total amount
of fabric Gabe needs? Use the diagram
at the right. Show your answer as a
multiplication equation of a whole number
and a fraction. Explain.
Q 13•2
MTH12_ANC4_TRM_Q13_02.indd 19
2
3
2
3
2
3
2
3
2
3
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
30/07/11 1:22 AM
Quick Check
Name
13-3
1. X
ander has 10 pieces of twine that he is using for a project. If
each piece of twine is ​ __13 ​ yard long, what is the total length of
twine that Xander has?
A 3 yards
B 3​ __13 ​ yards
C 3​ __23 ​ yards
D 4 yards
2. J
uliette is making 15 salads. She puts ​ __25 ​ cups of carrots in each
salad. What is the total amount of carrots Juliette will use?
A 3 cups
B 3​ __25 ​ cups
C 6 cups
D 15​ __25 ​ cups
3. W
riting to Explain Oscar wants to make 4 chicken pot pies.
The recipe for 1 chicken pot pie calls for ​ __23 ​ of a pound of
potatoes. What is the total amount of potatoes that Oscar will
need? Explain.
Q 13•3
MTH12_ANC4_TRM_Q13_03.indd 19
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
30/07/11 1:23 AM
Quick Check
Name
13-4
1. Which fraction and decimal does the model represent?
7
A __
​ 10
  , ​ 0.7
7
B ___
​ 100
   ​,  0.07
C _​ 77 , ​ 1.0
D __
​ 70
  ​,  70.0
1
2. Which is _​ 15 ​ as a decimal?
A 0.10
B 0.20
C 0.40
D 0.50
3. Writing to Explain Draw a decimal model and write 0.78 as
a fraction in simplest form.
Q 13•4
MTH12_ANC4_TRM_Q13_04.indd 1
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30/07/11 1:23 AM
Quick Check
Name
13-5
1. Which fraction represents the
location of point Q?
Q
0
1
A ___
​ 3   ​
10
B ___
​ 4  ​ 
10
C __
​ 2 ​
5
__
D ​ 3 ​
5
2. Which decimal represents the
location of point Z?
Z
0
1
A 0.09
B 0.01
C 0.9
D 0.8
3. Writing to Explain Draw a number line. Draw and
5
  ​ and 0.7.
label points to show the locations of __
​ 10
Explain your answer.
Q 13•5
MTH12_ANC4_TRM_Q13_05.indd 39
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30/07/11 1:24 AM
Quick Check
Name
3  ​ as a decimal?
1. Which shows __
​ 12
A 0.025
13-6
2. Which shows a pair of equivalent
numbers?
16 ​;  0.8
A ​ __
20
B 0.25
25  ​;  0.4
B ​ ___
100
C 0.312
C ​ __68 ​; 0.68
D 0.35
9  ​ as a decimal?
3. Which shows ​ __
20
A 0.92
D ​ __35 ​; 0.75
4. Which shows a pair of equivalent
numbers?
A
B 0.55
​ __45 ​; 0.45
3   ​;  0.3
B ​ ___
100
C 0.45
15 ​;  0.8
C ​ __
20
D 0.092
3
D ​ ___
  ; ​ 0.06
50
5. Writing to Explain When writing __
​ 36 ​as a decimal, why do you
5  ​?
​ 10
 
first need to rename the fraction as ​ __21 ​and then as __
Q 13•6
MTH12_ANC4_TRM_Q13_06.indd 31
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30/07/11 1:24 AM
Quick Check
Name
13-7
1. A mail-order company shipped
a package that weighed 73.87
pounds. What is the place value of
the underlined digit in 73.87?
2. What is the standard form of
eighty-four and twenty-seven
hundredths?
A 0.8427
A hundredths
B 8.427
B tenths
C 84.27
C ones D 842.7
D tens
3. The average score for the high
school golf team was 76.9. What is
the word form of 76.9?
A seven hundred and sixty-nine
hundredths
4. What is the value of the point on
the number line below?
8
B seven and sixty-nine tenths
A 0.826
C seventy-six and nine tenths
B 8.26
D seventy-six and nine hundredths
C 8.62
9
D 86.2
5. Writing to Explain Rosa is thinking of a number between
9.04 and 9.15 that has a 6 in the hundredths place.
What is the number? Explain.
MTH12_ANC4_TRM_Q13_07.indd 19
Q 13•7
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
30/07/11 1:24 AM
Quick Check
Name
13-8
2. Which place value would you use
to compare the numbers 61.02
and 61.12?
1. Which of the following is the
greatest number?
A 9.92
B 9.82
A tens
C 9.83
B ones
D 9.81
C tenths
D hundredths
4. Which friend lives the least
distance from school?
3. The table shows how far from
school four friends live.
Friend
Ned
Jack
Paula
André
Distance from
School in Miles
A Ned
B Jack
4.62
4.24
4.21
4.66
C Paula
D André
Which friend lives the greatest
distance from school?
A Ned
B Jack
C Paula
D André
5. Writing to Explain In a science lab, Ping measured the
mass of three minerals:
8.18 grams, 8.28 grams, 8.2 grams
Explain how Ping should order the measures from greatest to
least.
Q 13•8
MTH12_ANC4_TRM_Q13_08.indd 27
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30/07/11 1:24 AM
Quick Check
Name
13-9
1. Laura earns $6.70 a week walking
dogs. How much is that in dollars
and dimes?
2. How many pennies more than two
dollars are there in $2.05?
A zero
A 6 dollars and no dimes
B two
B 6 dollars and 7 dimes
C five
C 6 dollars and 70 dimes
D ten
D 67 dollars and no dimes
3. Which is equal to 3 dollars,
7 dimes, and 2 pennies?
4. Which is equal to $8.45?
A 8 dollars, 4 dimes, 5 pennies
A $2.37
B 8 dollars, 45 dimes
B $3.72
C 84 dollars, 5 pennies
C $7.23
D 84 dollars, 5 dimes
D $72.30
5. Which of the following has the
greatest value?
A 1 dollar, 4 dimes, 8 pennies
B 1 dollar, 3 dimes, 11 pennies
C 1 dollar, 3 dimes, 8 pennies
D 1 dollar, 2 dimes, 27 pennies
6. Writing to Explain Barbara has 11 dimes. Evan has 1 dollar.
Who has more money? Explain.
Q 13•9
MTH12_ANC4_TRM_Q13_09.indd 1
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
30/07/11 1:25 AM
Quick Check
Name
13-10
1. Which decimal represents the
location of point A?
2. Which decimal represents the
location of point Z?
A
0
Z
0.5
0
1
A 0.1
A 0.9
B 0.2
B 0.8
C 0.3
C 0.6
D 0.4
D 0.3
3. The following points were labeled
on a number line: 0.30, 0.45, 0.60.
What is the relationship between
each point?
A Increase by 0.2
B Each point is twice the value of
the preceding one
C Each point is the same
distance apart
D Each point is __
​ 1 ​that of the
2
preceding point
4. Writing to Explain Draw a number line. Draw and label
points to show the locations of 0, 0.25, 0.5, 0.75, and 1.
Explain how the points relate to each other.
Q 13•10
MTH12_ANC4_TRM_Q13_10.indd 1
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
30/07/11 1:25 AM
Topic 11
Name
Test
Mark the best answer.
1. Which statement is true? (11-2)
A The only factors of 7 are 7
and 1.
4. Which lists all of the factors of 49?
(11-1)
A 1, 49
B The only factors of 8 are 8
and 1.
B 1, 7, 49
C The only factors of 9 are 9
and 1.
D 1, 49, 98
C 1, 24, 49
D The only factors of 14 are 14
and 1.
2. What are four multiples of 7? (11-3)
A 1, 2, 3, 7
B 7, 14, 21, 28
C 14, 21, 27, 35
D 7, 17, 70, 77
​ __58 ​
3. What are two fractions that
represent point M? (11-5)
__
​ 3 ​
8
A ,
B 3
M
0
1
A __
​ 2 ​and __
​ 1 ​
8
5. Luis and Bill raced from their
house to the big tree in the
backyard, but stopped when
their mother called them in. They
decided that whoever had gotten
farther would win the race. Luis
made it __
​ 58 ​of the way and Bill made
it ​ __38 ​of the way to the tree. Which
symbol makes the comparison
true? (11-6)
C 5
D .
4
B __
​ 4 ​and __
​ 1 ​
8
2
C ___
​ 2   ​and __
​ 1 ​
10
5
D __
​ 2 ​and ___
​ 4  ​ 
8
10
Topic 11 1 of 3
MTH12_ANC4_TRM_TT11_EM.indd 1
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7/31/11 1:28 AM
Name
6. Which statement would NOT be
used in an explanation of how the
4  ​ 5 __
​ 13 ​? (11-8)
drawing shows that __
​ 12
10. The table shows the different
types of juice Pete drank
yesterday.
Type of Juice
Cup
Orange
__
​ 2 ​
Apple
​ __56 ​
Berry
__
​ 1  ​ 
A 1 of the 3 rectangles are filled
with shaded circles.
B In the rectangles, 4 out of the
12 circles are shaded.
4  ​ and __
C Both __
​ 12
​ 13 ​describe the part
that is shaded.
D 3 out of the 3 rectangles
are shaded.
7. What number should go in the box
to make the fractions equivalent?
(11-4)
1
12
1
6
1
3
1
6
1
6
3
12
1
3
1
6
1
6
Write the fractions in order from
least to greatest. (11-7)
11. Which of the following numbers is
a multiple of 7? (11-3)
12, 15, 32, 35
6  ​ = ___
​  3   ​ 
​ __
10
8. Write all the factors of 15. (11-1)
12. What is the missing number that
makes the fractions equivalent?
(11-4)
​  9   ​ 
​  __43 ​= ___
9. Which of the following numbers is
prime? (11-2)
48 21 11 32
Topic 11 2 of 3
MTH12_ANC4_TRM_TT11_EM.indd 2
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7/31/11 1:28 AM
Name
13. Which point represents an
equivalent fraction for __
​ 35 ​? (11-5)
B
A
0
1
10
2
10
3
10
4
10
5
10
6
10
7
10
C
D
8
10
9
10
1
16. Molly says that __
​ 48 ​is always the
​ 48 ​
same as ​ __21 ​. Andrew says that __
and __
​ 12 ​are equivalent fractions,
but they could be different
amounts. Use the models below
to determine which student is
correct. Explain. (11-8)
14. Write the fractions listed below in
order from greatest to least. (11-7)
___
​ 5  ​,  __
​ 3 ​, __
​ 2 ​
12 4 3
15. Karen measured an orange
and a tangerine. The
orange weighed __
​ 34 ​ pound.
The tangerine weighed ​ __46 ​pound.
Which was heavier? Write an
inequality to show how their
weights compare. (11-6)
1
__
​ 1 ​
__
​ 1 ​
4
 ​__16 ​
__
​ 1 ​
4
__
​ 1 ​
6
__
​ 1 ​
6
4
__
​ 1 ​
6
Topic 11 3 of 3
MTH12_ANC4_TRM_TT11_EM.indd 3
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4/12/12 5:39 PM
Topic 12
Name
Test
1. O
ne way to show ​ _78 ​  is ​ _38 ​  + ​ _48 ​. 
Which of the following is another
way to show ​ _78  ​? (12-10)
​ 2 ​
​ 3 ​+ __
A __
8
8
3
5
4. W
hat is the sum of 1​ __
  ​  + 2​ __  ​?
 
12
12
(12-8)
3
   ​
A 1​ ___
12
5
   ​
B 1​ ___
12
​ 68 ​
​ 28 ​+ __
B __
2 ​
C 2​ __
3
​ 3 ​
​ 6 ​+ __
C __
8
8
2 ​
D 3​ __
3
​ 2 ​
​ 5 ​+ __
D __
8
8
2 ​ of the students in a
2. On Tuesday, ​ __
8
class wore jeans. What fraction of
the class did NOT wear jeans?
(12-3)
5. W
hich equation is represented on
the number line shown? (12-5)
3
5
0
4
5
1
​ 45 ​= ___
​ 7  ​ 
​ 35 ​+ __
A __
10
3
3
1   ​ + ​ ___
2  ​  + ​ ___
4  ​ 
​ 55 ​ – ​ __
 ​ = ​ ___
  ​  + ​ ___
B __
5
10
10
10
10
​ 35 ​+ __
​ 15 ​= ___
​ 4  ​ 
C __
9
   ​
​ 10
A ___
10
​ 35 ​+ __
​ 15 ​= __
​ 45​​ ​
D __
__
​ 3 ​
4
C ___
​ 6   ​
16
​ 1 ​
D __
4
B
3. M
ilos and Asha are doing their
3
homework. Milos has finished ​ __
 ​ of
6
1
__
his. Asha has finished ​   ​ of hers.
6
How much more homework has
Milos finished than Asha? (12-4)
A
3 __
2 ​ = ​ __
1 ​
 ​ – ​ 1 ​ = ​ __
 ​__
6
3
6 6
3
1
2
​   ​ – ​ __ ​ = ​ __ ​
B __
0
6 6
3
1
4 ​ = ​ __
2 ​​
​   ​ + ​ __ ​ = ​ __
C __
6
6
3
6
3
1
4
1 ​​​
​   ​ + ​ __ ​ = ​ ___  ​  = ​ __
D __
6
12
3
6
Topic 12 1 of 3
MTH12_ANC4_TRM_TT12_EM.indd 1
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30/07/11 12:40 AM
Name
2 ​ foot of purple ribbon
6. E
dna has ​ __
9
4 ​ foot of yellow ribbon. Which
and ​ __
9
of the following can be used to
find how much ribbon she has in
all? (12-2)
dd 2 + 4, and write the sum
A A
6
6
2 ​.
 ​ . Simplify ​ __ ​ to ​ __
over 9 to get ​ __
9
9
3
dd 2 + 4, and write the
B A
6
  ​  .
sum over 9 + 9 to get ​ ___
18
6
1
___
__
Simplify ​     ​ to ​   ​.
18
3
7 ​ cup of
9. A
soup recipe calls for ​ __
8
3
 ​ cup of cream.
chicken broth and ​ __
8
How much more chicken broth
is needed than cream? (12-4)
10. K
aterina is knitting a scarf. She
4
  ​  of the scarf on Monday
knit ​ __
10
2
   ​ of the scarf on Tuesday.
and ​ __
10
What fraction of the scarf has she knit? (12-1)
dd 2 + 4, and write the sum
C A
6
 ​ .
over 9 – 9 to get ​ __
0
dd 9 + 9, and write the
D A
18
  ​ .
sum over 2 + 4 to get ​ ___
6
18
___
Simplify ​    ​ to 3.
6
7. C
asey and Bret are doing their
book reports. Casey has written
2​ _58  ​ pages. Bret has written ​ _68  ​ of a
page less than Casey. How many
pages has Bret written? (12-9)
1
1  ​ ​ ___
1  ​ ​ ___
1  ​ ​ ___
1  ​ 
 ​___
10 10 10 10
1  ​ 
___
​ 1  ​ ​ ___
10 10
8. T
he Petersons went on a 300-mile
trip. They traveled for 3​ _56 ​  hours
on the first day and 2​ _26  ​ hours on
the second day. How many hours
did they travel during the first two
days? (12-8)
Topic 12 2 of 3
MTH12_ANC4_TRM_TT12_EM.indd 2
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8/2/11 12:29 PM
Name
11. J
ean and Amy were using
fraction strips to add. Jean
added _​ 15  ​ + _​ 35  ​ + _​ 45  ​and found
the sum 1​ _35  ​. Amy said Jean
must be wrong because she
added _​ 25  ​ + _​ 35  ​ + _​ 35  ​and she also
found the sum 1​ _35  ​. Is Amy correct
in her thinking? Explain. (12-10)
14. What is the sum of 2​ _56 ​ + 1​ _26 ​?
  (12-7)
1
1
1
6
1
6
1
6
1
6
1
1
6
12. W
hat mixed number does this
model show? (12-6)
1
6
1
6
vi watches a movie that is
15. A
2​_ 14 ​  hours long. Jenae watches
a movie that is 1​_ 34  ​hours long.
How much longer is Avi’s movie?
Simplify, if possible. (12-7)
16. D
ena is biking down a _​ 78 ​  -mile bike
trail. She stops to greet a friend
after biking _​ 38  ​of a mile. How much
farther does she need to travel?
Draw a picture and write an
equation to solve. (12-11)
13. R
icky needs 3​ _14 ​ cups of sugar to
make muffins. He already has
2​ _24  ​cups. How many more cups
of sugar does he need? (12-9)
Topic 12 3 of 3
MTH12_ANC4_TRM_TT12_EM.indd 3
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7/31/11 1:42 AM
Topic 13
Name
Test
Mark the best answer.
1. Three of the 5 students in
Wayne’s reading club are girls.
What decimal represents __​ 35 ​?
(13-6)
4. Which statement is true? (13-8)
A 0.15
0.06
B 0.20
0.12
A 0.12 , 0.06
C 0.60
B 0.06 . 0.12
D 0.75
C 0.06 5 0.12
2. What decimal is shown in the grid
below? (13-7)
D 0.06 , 0.12
5. What is 1.23 written as a fraction
or mixed number? (13-4)
A ___
​ 1   ​
23
B ____
​ 23  ​ 
100
87  ​ 
C 1 ​ ____
100
23  ​ 
D 1 ​ ____
100
A 7.41
B 1.74
C 1.53
D 1.47
3. Tracy measured the mass of four
samples in a science lab. Which
shows the masses in order from
the least to the greatest? (13-8)
6. Which number is best represented
by point R on the number line?
(13-5)
R
33.0
34.0
A 3.07, 3.28, 3.38, 3.1
A 33.2
B 3.38, 3.28, 3.10, 3.07
B 33.5
C 3.10, 3.07, 3.28, 3.38
C 33.6
D 3.07, 3.10, 3.28, 3.38
D 33.7
Topic 13 1 of 3
MTH12_ANC4_TRM_TT13_EM.indd 1
33.5
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30/07/11 1:29 AM
Name
7. What is the missing number?
(13-9)
$8.36 5 8 dollars 1
6 pennies
8.36 5 8 ones 1
6 hundredths
dimes 1
10. What fraction is best represented
by point C on the number line?
(13-5)
C
tenths 1
0
1
A 2
B 3
C 6
D 8
8. What is 0.41 written as a fraction?
(13-4)
11. Hal wants to make a 2​ _12 ​-  foot
banner from a 5-foot length of
cloth. If he has marked 2.0 on the
cloth, what does he have to do to
find 2​ _12  ​feet? (13-10)
12. Write a multiplication equation
with a whole number and a
fraction that describes the model
shown. (13-2)
9. Find the missing values for the
multiplication equation __
​ 9  ​ = × __
​ 10  ​. 
10
(13-1)
Topic 13 2 of 3
MTH12_ANC4_TRM_TT13_EM.indd 2
1
8
1
8
3
8
1
8
1
8
1
8
3
8
1
8
1
8
1
8
1
8
3
8
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8/2/11 1:29 PM
Name
13. Carlos is baking banana bread.
He uses _​ 38 ​ cup of brown sugar in
one loaf. He is making 6 loaves of
banana bread. How much brown
sugar will Carlos use? (13-3)
16. What is __​ 34 ​written as a decimal?
(13-4)
17. What fraction and decimal are
represented by the shaded area?
(13-6)
14. Franklin drew a number line from
0 to 1. To show _​ 25 ​,  how many parts
should he divide the distance from
0 to 1? (13-10)
15. Michael caught a fish that was
7 ​feet long. Which point on the
1 ​ __
8
number line best represents the
length of the fish? (13-5)
L
0
M N
1
2
P
18. How could you use the least
amount of $1 bills, dimes, and
pennies to pay for the soccer ball?
(13-9)
3
$6.49
Topic 13 3 of 3
MTH12_ANC4_TRM_TT13_EM.indd 3
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30/07/11 1:29 AM
Name
Topics 9–12
Benchmark Test
Mark the best answer.
1. Luisa has 417 beans. She has
7 jars in which to store the beans.
How can she use estimation to
find about how many beans to put
in each jar?
A Round the number of jars to 10
4. Maria bought 50 tulip bulbs. She
planted the bulbs in rows with
8 bulbs in each row. Which model
shows both the correct number
of rows and left over bulbs?
A
B Round the number of beans
to 410
C Round the number of beans
to 415
D Round the number of beans
to 420
2. A total of 150 students are in
the fourth grade at Mockingbird
School. There are 5 classes,
each with the same number of
students. What basic fact can you
use to help solve the problem?
B
C
D
5. Jose has 396 trading cards. If
he puts the cards into 8 albums,
estimate how many cards he will
have in each album.
A 15 × 5 = 75
B 15 ÷ 5 = 3
C 15 − 5 = 10
D 15 + 5 = 20
A About 30 cards
3. Ms. Mitchell uses 186 tubes of
paint to make supply packs for her
art class. She puts 8 tubes in each
pack. How many supply packs will
she make, and how many tubes of
paint will be left over?
A 20 packs, 6 left over
B 22 packs, 3 left over
C 23 packs, 1 left over
D 23 packs, 2 left over
Topics 9–12 1 of 4
B About 45 cards
C About 50 cards
D About 55 cards
6. Jason counted 284 marbles in
a bag. If each bag contains the
same number of marbles, how
many marbles would be in
6 bags?
A 1,684
C 1,884
B 1,704
D 1,948
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Name
7. Nikki has 96 sequins to sew on
a flag. She wants to sew them in
6 rows. How many sequins should
she sew in each row?
A 16 sequins
10. Which list shows the fractions
below in order from least to
greatest?
1
8
1
8
1
8
1
3
B 20 sequins
C 90 sequins
1
2
D 120 sequins
8. Miguel’s scout division raised
money for a camping trip. They
earned a total of $1,498 at 7 bake
sales. They earned the same
amount at each sale. How much
money did they make at the
first sale?
A $214
A __13 , __12 , __38
B __13 , __38 , __12
C __12 , __38 , __13
D __38 , __13 , __12
11. Which list shows all the factors
of 38?
B $208
A 1, 38
C $176
B 1, 2, 38
D $112
C 1, 2, 16, 38
9. Joey used 154 craft sticks to
make puppets. He used one
pair of craft sticks for each
puppet. How many puppets
did Joey make?
D 1, 2, 19, 38
12. Which 2 fractions are examples of
equivalent fractions?
A __28 , __14
A 77 puppets
3 __
B __
,1
16 4
B 154 puppets
5 __
C __
,1
12 3
C 308 puppets
7 __
D __
,3
16 4
D Not here
Topics 9–12 2 of 4
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Name
13. The 2 plates of pizza below show
what was left after the Chavez
family finished dinner.
16. Use the model below. What is the
sum of __38 and __28 ?
&
&
-
&
-
&
&
-
A __28
Which of the following compares
the portion of pizza left on each
plate?
B __38
A __38 > __14
D __78
B __38 < __14
C __3 = __1
8
4
D __3 > __5
4
8
14. What generalization can be made
about all multiples of 4?
C __58
17. Monday night Tyrell spent __26 hour
on his homework and Eva spent
5
__
hour on her homework. How
6
much more time did Eva spend
on homework than Tyrell?
A __36 hour
A They are all odd
B __26 hour
B They are all multiples of 2
C __16 hour
C They are all factors of 5
D 1__16 hours
D They are both even and odd
15. Where would the first digit of the
quotient be placed in the division
problem below?
____
&
-
3
7
18. What is the sum of __
+ __
?
12
12
11
A __
12
10
B __
12
9
C __
12
8)592
8
D __
12
A Above the 9
B Above the 5
C Above the 8
D Above the 2
Topics 9–12 3 of 4
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Name
19. The number line shows which of
the following equations?
(
-
)
-
A __18
B __38
(
-
%
22. What is the difference of 2__38 − 1__78 ?
C __12
4 &
D 1__12
A __44 − __34 = __14
23. Which of the following is another
7
way to show __
?
10
B __38 + __48 = __78
C __18 + __48 = __58
3
2
1
1
+ __
+ __
+ __
A __
10
10
10
10
D __78 − __48 = __38
20. Ken ate __53 containers of
yogurt. What is __53 expressed
as a mixed number?
B __35 + __45
1
7
C __
+ __
10
10
3
3
3
D __
+ __
+ __
10
10
10
24. Jan drew the number line below.
A
0
A 5__13
C 1__23
B 2__35
D 1__13
1
Which of the following is
equivalent to Point A?
21. Mike needs 1__48 cups of flour to
make a cake and 1__78 cups of flour
to make a piecrust. How much
flour does Mike need to bake the
cake and piecrust? Use the model
to find the sum.
3
A __
10
B __12
C __48
D __38
&
&
-
&
-
&
-
&
-
&
-
&
-
&
-
&
-
&
&
-
&
-
&
-
A 1_38_ cups
8
C 2__
cups
10
B 2 cups
D 3_38_ cups
Topics 9–12 4 of 4
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Name
Topics 13–16
Benchmark Test
Mark the best answer.
1. What is the best estimate of how
much an apple weighs?
5. Which figure below has two lines
of symmetry?
A About 1 ounce
B About 6 ounces
C About 1 pound
Octagon
Pentagon
Rectangle
Triangle
D About 5 tons
2. Larry measures an object’s
mass in grams. Which of the
following objects is he most likely
measuring?
A A frog
B A watermelon
C A surfboard
A Octagon
C Rectangle
B Pentagon
D Triangle
6. Diego made an example of an
equilateral triangle. Which triangle
could be Diego’s drawing?
D A horse
3. Lara’s bed is 5 feet long. How
many inches long is the bed?
A
A 1 yard
B 48 inches
B
C 60 inches
D 72 inches
4. In 2007, Oklahoma celebrated its
100th birthday. How many months
are in 100 years?
C
A 600 months
B 1,200 months
D
C 1,800 months
D 2,400 months
Topics 13–16 1 of 4
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Name
7. Which measure is equal to
3 liters?
10. What are all the names that could
be used for the shape below?
A 3 mL
B 30 mL
C 300 mL
D 3,000 mL
A Quadrilateral, parallelogram
8. Look at the clock below.
B Quadrilateral, trapezoid,
rectangle
12 1
11
C Quadrilateral, parallelogram,
rhombus
2
10
9
3
4
8
7 6
D Quadrilateral, parallelogram,
square
5
What kind of angle do the
hands form?
A Acute
B Right
11. Thomas drew a pair of
perpendicular lines. Which of the
following could be his drawing?
A
C Obtuse
D Straight
9. What is the measure of the angle
formed by the hands of the clock?
11 12 1
10
9
8
7 6 5
2
3
4
B
C
D
A 45°
B 90°
C 180°
D 360°
Topics 13–16 2 of 4
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Name
12. Look at the number line below.
0
1
What decimal and fraction are
shown by the point marked on the
number line?
15. What is the correct way to represent
2 dollars + 5 dimes + 8 pennies
using a dollar sign and decimal
point?
A $0.258
B $2.58
C $2.85
1
A 0.1, __
10
D $8.52
3
B 0.3, __
10
C 0.3, __13
16. Which of the following shows __38 as
a multiple of a unit fraction?
D 0.5, __12
13. Remy wanted to measure
the angle of the slide in the
playground. He used a piece of
folded paper that was 10°. He
measured that 3 of the folded
paper angles would fit in the angle
made by the slide. What was the
angle of the slide?
A 3×8
B __38 + __18
C __38 × __18
D 3 × __18
17. Joy jogs __12 mile 3 times a
week. How far does Joy jog in
one week?
A 75°
B 60°
A 3__12 miles
C 45°
B 1__12 miles
D 30°
C __23 mile
14. A packet of spices contains
0.52 ounces of garlic powder,
0.36 ounces of salt, 0.6 ounces of
red pepper flakes, and 0.25 ounces
of oregano. Which spice does the
packet have the most of?
D __16 mile
18. Find 7 × __13 .
1
A __
21
B __37
C 2__13
A Garlic powder
D 7__13
B Salt
C Red pepper flakes
D Oregano
Topics 13–16 3 of 4
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Name
19. The perimeter of the rectangle
shown below is 28 cm.
6 cm
22. Nancy made a line plot to keep
track of the number of homework
assignments she received each
week.
Homework Assignments Per Week
What is the area of the rectangle?
A 12 square centimeters
x
x
xx
5
x
x
x
x
x
x
xx
xx x xx
xxxxxxx
10
15
x
x x
xxx
20
B 14 square centimeters
C 36 square centimeters
How many assignments did Nancy
receive the most number of times?
D 48 square centimeters
20. The cooking instructions for a
pie say to bake it for 1 hour and
35 minutes. The pie has already
baked for 50 minutes. How many
more minutes does the pie need
to bake?
1 hour 35 min
50 minutes
x
A 8
C 15
B 11
D 20
23. Ron drew an angle that measured
160°. Then he drew a ray that
divided the angle in half. What is
the measure of each of the new
angles formed?
A 180°
B 160°
A 45 minutes
C 80°
B 35 minutes
D 60°
C 25 minutes
D 15 minutes
21. Eugene used a $15 gift card to
buy a digital music album. The
cost of the album was $12.89.
How much did Eugene have
remaining on his gift card?
24. Collin solved a math problem and
6
got an answer of __
. He wants to
10
write the fraction as a decimal.
Which decimal should he write?
A 6.0
B 0.66
C 6.10
A $3.89
C $2.11
B $3.09
D $2.09
Topics 13–16 4 of 4
D 0.6
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Name
Topics 1–16
End-of-Year Test
Mark the best answer.
1. During the 2008 Summer
Olympics in Beijing, Poland won
10 medals. France won 4 times as
many medals as Poland.
4
3?
3. What is the difference of __
⫺ __
How many medals did France win?
4. A skyscraper has 412 windows.
A window washer cleaned 285.
How can he find the number of
windows left to clean?
A
14
B
40
C
44
8
8
7
A __
8
7
B ___
16
12
C ___
16
1
D __
8
412 windows in all
D 400
285
2. Which shape below has only 1 line
of symmetry?
?
A Multiply 412 by 16.
B Multiply 285 by 412.
C Subtract 285 from 412.
D Add 412 to 285.
Square
5. Nadia burned 56 calories practicing
martial arts. She burned 8 calories
each minute.
Pentagon
56 calories
8
Rectangle
Triangle
? minutes
Calories
per minute
A Square
Which number sentence can be
used to find how many minutes
Nadia practiced martial arts?
B Pentagon
C Rectangle
D Triangle
A 56 ÷ 8 =
B 56 − 8 =
C 56 + 8 =
D 56 × 8 =
Topics 1–16 1 of 4
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Name
6. The American flag has 50 white
stars and 13 red and white stripes.
In a parade, 17 people are waving
small American flags as they
march by. How many stars are on
the flags in all?
9. Kevin measured that it was 45 feet
from the door of his classroom to
the principal’s office. What is that
distance in yards?
A 3 yards
B 15 yards
A 221
C 42 yards
B 650
D 135 yards
C 850
D 945
7. What decimal is shown in the
grid below?
10. Andy jumped 1.2 meters in a
track contest. Which point on the
number line below represents the
number 1.2?
R
S
1.0
T
U
2.0
A R
A 2.47
B S
B 1.74
C T
C 1.47
D U
D 1.04
8. Lawrence spent $310 on
5 equally-priced model trains.
Which number sentence
shows the amount he spent
for each train?
11. Kelly’s class collected 3,129 pennies
in 7 months. If they collected the
same number of pennies each
month, how many pennies did they
collect in one month?
A 304 R1
A $300 ⫼ 5 ⫽ $60
B 407
B $310 ⫼ 5 ⫽ $62
C 432 R5
C 5 ⫻ $310 ⫽ $1,860
D 447
D 5 ⫻ $300 ⫽ $1,500
Topics 1–16 2 of 4
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Name
12. Wanda painted __82 of a poster. Which
number should go in the box
to make another fraction that is
equivalent to __82?
2 = __
1
__
8
A
2
B
4
C
6
A 16.29
B 18.32
C 22.83
D 539.2
16. A helicopter landing pad
measures 11 meters wide and
15 meters long. What is the
perimeter of the pad?
D 16
13. The Singapore Flyer, in China, is
one of the world’s largest Ferris
wheels. There are 28 cars on the
Ferris wheel and each car can
hold 28 passengers. About how
many passengers can ride the
Ferris wheel at one time?
A
15. Which of the following has a 2 in
the hundredths place?
60
A 26 meters
B 52 meters
C 165 meters
D 2,475 meters
17. Norma measured the length and
width of the placemat shown.
B 400
C 625
12 inches
D 900
14. Which fraction is NOT equivalent
to the shaded area of the
rectangle?
9 inches
What is the area of the rectangular
placemat?
1
A __
A 21 square inches
2
3
B __
5
6
C ___
10
60
D ____
100
B 42 square inches
C 98 square inches
D 108 square inches
Topics 1–16 3 of 4
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Name
18. The food pantry sets a goal of
collecting 40 cans of food each
day in November. There are 30
days in November. If the food
pantry reaches its goal, how many
cans of food will be collected
during November?
21. Peter wrote the following numbers
in a row.
9, 16, 23, 30
If the pattern continues, what
three numbers will come next?
A 36, 42, 48
A
120
B 37, 44, 51
B
1,200
C 37, 42, 49
C
1,240
D 42, 54, 66
D 12,000
19. Jorge saw that the clock hands
formed an angle.
11 12 1
10
9
8
7 6 5
2
3
4
22. Kylie has 4 shelves. Each shelf
displays 7 trophies. Which number
sentence shows how many
trophies are displayed in the
case?
A 4 ⫻ 7 ⫽ 28
B 4 ⫻ 3 ⫽ 12
Which angle measure best
describes the angle formed by the
clock hands?
C 7⫺4⫽3
D 7 ⫹ 3 ⫽ 10
23. A family membership at a museum
costs $85 per year. What is the total
cost of 29 family memberships?
A About 45°
B About 90°
C About 180°
A $885
D About 360°
B $935
C $2,325
3
4?
20. What is 1__
⫺ __
5
5
D $2,465
1
A __
5
3
B __
5
4
C __
5
2
D 2__
5
Topics 1–16 4 of 4
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Basic-Facts
Timed Test
Name
1
Give each answer.
1.
56
18.
19
35.
65
2.
88
19.
59
36.
87
3.
61
20.
68
37.
15 8 4.
82
21.
27
38.
86
5.
43
22.
55
39.
81
6.
29
23.
26
40.
93
7.
79
24.
96
41.
21
8.
49
25.
46
42.
77
9.
66
26.
62
43.
11 6 10.
54
27.
11 9 44.
72
11.
28
28.
96
45.
54
12.
73
29.
74
46.
12 8 13.
83
30.
85
47.
14 9 14.
48
31.
64
48.
13 5 15.
99
32.
10 3 49.
11 4 16.
39
33.
88
50.
10 7 17.
77
34.
18 9 FTT 1 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
2
Give each answer.
1.
66
18.
97
35.
58
2.
10 2 19.
11 5 36.
12 3 3.
71
20.
71
37.
28
4.
73
21.
84
38.
61
5.
43
22.
18
39.
22
6.
81
23.
95
40.
74
7.
10 7 24.
14 7 41.
27
8.
13 6 25.
92
42.
11 3 9.
84
26.
72
43.
16
10.
85
27.
25
44.
33
11.
12 4 28.
86
45.
98
12.
73
29.
43
46.
11 6 13.
78
30.
89
47.
88
14.
99
31.
96
48.
16 9 15.
70
32.
44
49.
97
16.
10 6 33.
98
50.
14 5 17.
79
34.
33
FTT 2 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
3
Give each answer.
1.
94
18.
10 5 35.
18
2.
72
19.
76
36.
16 8 3.
66
20.
11 8 37.
68
4.
21
21.
94
38.
23
5.
53
22.
38
39.
31
6.
97
23.
11 5 40.
45
7.
54
24.
10 1 41.
10 3 8.
44
25.
62
42.
15 9 9.
88
26.
92
43.
17
10.
63
27.
86
44.
12 9 11.
76
28.
29
45.
33
12.
65
29.
55
46.
13 8 13.
84
30.
47
47.
17 9 14.
74
31.
92
48.
96
15.
13 7 32.
98
49.
67
16.
15 6 33.
11 6 50.
95
17.
89
34.
69
FTT 3 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
4
Give each answer.
1.
43
18.
54
35.
32
2.
73
19.
96
36.
69
3.
55
20.
27
37.
97
4.
21
21.
83
38.
26
5.
33
22.
72
39.
85
6.
86
23.
38
40.
65
7.
92
24.
67
41.
40
8.
34
25.
74
42.
98
9.
58
26.
53
43.
52
10.
93
27.
14
44.
77
11.
28
28.
76
45.
59
12.
36
29.
63
46.
24
13.
25
30.
78
47.
99
14.
07
31.
84
48.
48
15.
56
32.
62
49.
66
16.
29
33.
49
50.
79
17.
82
34.
57
FTT 4 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
5
Give each answer.
1.
34
18.
29
35.
38
2.
94
19.
74
36.
86
3.
76
20.
93
37.
72
4.
42
21.
88
38.
68
5.
84
22.
62
39.
57
6.
61
23.
33
40.
73
7.
39
24.
96
41.
66
8.
89
25.
13
42.
65
9.
69
26.
98
43.
44
10.
87
27.
55
44.
02
11.
46
28.
85
45.
54
12.
35
29.
26
46.
49
13.
23
30.
22
47.
83
14.
27
31.
47
48.
79
15.
75
32.
67
49.
04
16.
71
33.
36
50.
37
17.
10
34.
59
FTT 5 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
6
Give each answer.
1.
63
18.
55
35.
12 3 2.
47
19.
49
36.
55
3.
37
20.
93
37.
24 4 4.
66
21.
78
38.
63 7 5.
95
22.
75
39.
15 3 6.
94
23.
45
40.
24 3 7.
17
24.
11
41.
82
8.
72
25.
43
42.
27 9 9.
88
26.
15 5 43.
25 5 10.
61
27.
24 8 44.
01
11.
32
28.
18 2 45.
12 4 12.
89
29.
16 2 46.
45 5 13.
26
30.
14 2 47.
40 8 14.
86
31.
21 3 48.
30 5 15.
22
32.
48 6 49.
18 6 16.
35
33.
12 2 50.
20 4 17.
82
34.
61
FTT 6 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
7
Give each answer.
1.
16 2 18.
16 4 35.
18 6 2.
18 2 19.
45 9 36.
12 4 3.
12 2 20.
24 8 37.
18 9 4.
25 5 21.
63 9 38.
30 5 5.
24 3 22.
56 7 39.
93
6.
49 7 23.
24 6 40.
32 4 7.
28 4 24.
40 8 41.
45 5 8.
54 6 25.
30 6 42.
16 8 9.
10 2 26.
42 6 43.
28 7 10.
36 9 27.
15 3 44.
36 4 11.
27 3 28.
81 9 45.
77
12.
40 8 29.
15 5 46.
20 5 13.
35 5 30.
54 9 47.
10 5 14.
42
31.
63
48.
32 8 15.
61
32.
02
49.
42 7 16.
12 6 33.
48 8 50.
64 8 17.
72 8 34.
35 7 FTT 7 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
8
Give each answer.
1.
15 3 18.
08
35.
72 8 2.
24 6 19.
63
36.
41
3.
51
20.
63 7 37.
36 4 4.
16 4 21.
56 8 38.
63 9 5.
42
22.
12 4 39.
88
6.
35 5 23.
30 6 40.
48 8 7.
12 6 24.
64 8 41.
45 5 8.
18 9 25.
20 5 42.
72 9 9.
28 4 26.
21 3 43.
03
10.
12 3 27.
45 9 44.
14 7 11.
36 9 28.
24 8 45.
81 9 12.
25 5 29.
27 3 46.
56 7 13.
84
30.
40 5 47.
32 4 14.
30 5 31.
49 7 48.
18 3 15.
36 6 32.
54 6 49.
42 6 16.
35 7 33.
21 7 50.
40 8 17.
93
34.
66
FTT 8 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
9
Give each answer.
1.
56
18.
47
35.
93
2.
48
19.
69
36.
81
3.
91
20.
43
37.
55
4.
78
21.
45
38.
35 5 5.
39
22.
75
39.
24 6 6.
73
23.
51
40.
21 3 7.
99
24.
77
41.
27 9 8.
28
25.
64
42.
56 8 9.
95
26.
16 2 43.
30 6 10.
58
27.
82
44.
84
11.
19
28.
20 4 45.
10 2 12.
97
29.
44
46.
16 8 13.
35
30.
14 2 47.
12 3 14.
88
31.
10 5 48.
42 7 15.
76
32.
18 3 49.
45 9 16.
83
33.
14 7 50.
18 2 17.
22
34.
62
FTT 9 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
10
Give each answer.
1.
35
18.
42
35.
57
2.
91
19.
51
36.
14 9 3.
47
20.
13 4 37.
15 6 4.
52
21.
67
38.
12 7 5.
80
22.
38
39.
48
6.
83
23.
41
40.
37
7.
34
24.
15 8 41.
14 8 8.
56
25.
69
42.
63
9.
79
26.
51
43.
77
10.
12 5 27.
95
44.
16 7 11.
73
28.
87
45.
10 5 12.
44
29.
64
46.
59
13.
26
30.
10 2 47.
11 4 14.
10 9 31.
18 9 48.
13 9 15.
24
32.
39
49.
78
16.
58
33.
54
50.
17 8 17.
14 6 34.
11 2 FTT 10 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
11
Give each answer.
1.
83
18.
63
35.
18
2.
32
19.
42
36.
44
3.
87
20.
49
37.
58
4.
89
21.
11 7 38.
25
5.
15
22.
53
39.
62
6.
90
23.
75
40.
18 3 7.
13 6 24.
60
41.
99
8.
99
25.
11
42.
32 4 9.
94
26.
74
43.
16 4 10.
11 9 27.
53
44.
10 2 11.
14 7 28.
24
45.
20 5 12.
13 8 29.
68
46.
48 6 13.
52
30.
37
47.
63 9 14.
76
31.
79
48.
14 7 15.
82
32.
77
49.
64 8 16.
15 7 33.
48
50.
91
17.
37
34.
42
FTT 11 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
Basic-Facts
Timed Test
Name
12
Give each answer.
1.
46
18.
41
35.
67
2.
93
19.
83
36.
16
3.
14
20.
97
37.
24
4.
74
21.
99
38.
87
5.
00
22.
97
39.
63
6.
15 7 23.
41
40.
27 3 7.
11 7 24.
76
41.
32 8 8.
16 8 25.
31
42.
24 4 9.
16
26.
23
43.
12 2 10.
14 6 27.
64
44.
18 9 11.
99
28.
68
45.
48 6 12.
12 4 29.
46
46.
28 7 13.
75
30.
82
47.
36 4 14.
95
31.
12
48.
31
15.
31
32.
52
49.
54 9 16.
36
33.
99
50.
72 8 17.
11 7 34.
44
FTT 12 of 12
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 4