Name: ________________________ Class: ___________________ Date: __________
ID: A
Chapter 9 Practice Test
____
1. Greta lives 0.7 kilometer from the state capitol. Which fraction is equivalent
to 0.7?
A. 0
7
B. 1
7
____
C.
7
10
D.
7
100
2. The U.S. Senate in Washington, D.C., has 100 elected members who
make laws for the United States. Last year, 30 senators ran for reelection.
Which decimal is equivalent to 30 ?
100
A.
B.
C.
D.
____
3.100
0.3
0.03
0.003
3. Which of the following is not equivalent to seven tenths?
7
10
B. 0.7
C. 0.70
D. 0.07
A.
12
Name: ________________________
____
ID: A
4. Matthew walks 4 mile to Zack’s house. Which fraction is equivalent to
10
4 ?
10
A.
4
100
B.
40
100
C.
44
100
D.
40
10
5. Regina has finished eight tenths of her science report. Write two fractions
and two decimals that are equivalent to eight tenths. Explain your work.
____
6. What is the sum of 4 and 55 ?
10
100
A.
15
100
B.
59
110
C.
59
100
D.
95
100
2
Name: ________________________
____
____
ID: A
7. What is the sum of 4 and 40 ?
10
100
A.
8
10
B.
44
100
C.
44
110
D.
8
100
8. Suzi ran for 4 mile. Then she walked for 16 mile. How far did she go in
10
100
all?
A.
20 mile
100
B.
56 mile
100
C.
20 miles
10
D.
56 miles
10
3
Name: ________________________
____
ID: A
9. An artist is covering a tabletop with square tiles. So far, she has put blue
tiles on 21 of the tabletop and silver tiles on 3 of it. How much of the
100
10
tabletop has been tiled?
A.
51
10
B.
24
10
C.
51
100
D.
24
100
10. Explain the steps you would do to find the sum of 3 and 62 .
10
100
____ 11. Trisha walked 9 of a mile to school. She shaded a model to show how far
10
she had walked.
Which decimal shows how far Trisha walked?
A.
B.
C.
D.
0.009 mile
0.09 mile
0.9 mile
9.0 miles
4
Name: ________________________
ID: A
____ 12. Denny ran 2 1 miles along a marathon route. What is this distance written
10
as a decimal?
A.
B.
C.
D.
21.0 miles
2.1 miles
2.01 miles
0.21 mile
____ 13. David hiked 3 7 miles along a trail in the state park. What is this distance
10
written as a decimal?
A.
B.
C.
D.
37.10 miles
3.710 miles
3.7 miles
3.07 miles
____ 14. The point shown on the number line represents the number of inches Bea’s
plant grew in one week. What decimal correctly names the point?
A.
B.
C.
D.
2.06
2.07
2.6
2.7
5
Name: ________________________
ID: A
15. You want to use a decimal to name the point shown on the number line.
Write the decimal and explain how you identified it.
____ 16. Manuel read 75 out of 100 pages in his book. He shaded a model to show
what part of the book he read.
Which decimal represents the part of the book Manuel read?
A.
B.
C.
D.
0.25
0.70
0.75
0.80
____ 17. A shark tooth has a mass of 1 6 kilograms. Which decimal is equivalent
100
to 1 6 ?
100
A.
B.
C.
D.
0.006
0.06
1.06
1.60
6
Name: ________________________
ID: A
____ 18. Kara made a model for some science data. Which decimal matches the
model?
A.
B.
C.
D.
0.33
1.33
1.43
10.33
____ 19. The weight of a diamond is measured in carats. Mrs. Wang has a diamond
that weighs 1 5 carats. Which decimal is equivalent to 1 5 ?
100
100
A.
B.
C.
D.
1.05
1.15
1.25
1.5
20. The model shows how much of Luke’s garden is planted. Write the decimal
for the shaded part of the model. Explain your thinking.
7
Name: ________________________
ID: A
____ 21. Cora paid 65 of a dollar to buy a postcard from Grand Canyon National
100
Park in Arizona. What is 65 written as a decimal in terms of dollars?
100
A.
B.
C.
D.
0.65
6.05
6.5
65
____ 22. Maria has these coins.
What is Maria’s total amount as a fraction in terms of a dollar?
A. 100
59
B. 134
100
C.
75
100
D.
59
100
8
Name: ________________________
ID: A
____ 23. Ryan sold a jigsaw puzzle at a yard sale for three dollars and five cents.
Which decimal names this money amount in terms of dollars?
A.
B.
C.
D.
3.50
3.05
0.55
0.05
____ 24. Rick has one dollar and twenty-seven cents to buy a notebook. Which
decimal names this money amount in terms of dollars?
A.
B.
C.
D.
0.27
1.027
1.27
12.7
25. Polly spent 77 of a dollar to buy some mints. Write 77 as a decimal in
100
100
terms of dollars and as a money amount. Explain how the two numbers are
alike and different.
____ 26. Randy is comparing statistics from a baseball tournament.
Which decimal is less than 0.4?
A.
B.
C.
D.
0.38
0.40
0.44
1.04
____ 27. Haroun is comparing decimals. Which statement is true?
A.
B.
C.
D.
0.5 > 0.53
0.35 = 0.53
0.35 < 0.3
0.35 > 0.3
9
Name: ________________________
ID: A
____ 28. Mark needs more than 0.42 pound of cheese for a recipe.
Which decimal is greater than 0.42?
A.
B.
C.
D.
0.24
0.39
0.41
0.5
____ 29. Suria is comparing decimals. Which statement is true?
A.
B.
C.
D.
0.77 = 0.70
0.77 > 0.8
0.77 < 0.8
0.8 < 0.07
30. Write all the decimals in tenths that are less than 2.42 but greater than
2.0. Explain how you decided which decimals to write.
____ 31. Chaz needs $4.77 for new batteries. He has $2.80. How much more
money does he need?
A.
B.
C.
D.
$1.97
$2.10
$2.17
$7.57
____ 32. Mrs. Golub wants to share $7.20 equally among her three grandchildren.
How much money should each grandchild get?
A.
B.
C.
D.
$1.40
$2.07
$2.40
$4.20
____ 33. Patty, Helene, and Mira share $0.96 that they found in an old wallet. How
much money does each girl get?
A.
B.
C.
D.
$0.48
$0.38
$0.36
$0.32
10
Name: ________________________
ID: A
____ 34. Three boys share $1.92 equally. How much money does each boy get?
A.
B.
C.
D.
$0.64
$0.69
$0.72
$5.76
35. Bernie and his two brothers share $8.16 equally. How much money does
each boy get? Explain the strategy you use to solve the problem.
____ 36. The tour of the art museum started at 9:35
minutes. What time did the tour end?
A.
B.
C.
D.
A.M.
It lasted for 1 hour 20
9:55 A.M.
10:35 A.M.
10:45 A.M.
10:55 A.M.
____ 37. The plumber began to fix the leaky sink at 1:45 P.M. He worked on it for 1
hour 45 minutes. What time did the plumber finish the job?
A.
B.
C.
D.
2:45 P.M.
3:00 P.M.
3:20 P.M.
3:30 P.M.
____ 38. An author signed copies of her newest book for 57 minutes until the
bookstore closed at 5:00 P.M. What time did the author begin signing
books?
A.
B.
C.
D.
4:03 P.M.
4:57 P.M.
5:03 P.M.
5:57 P.M.
11
Name: ________________________
ID: A
____ 39. Aya was at the library for 48 minutes until it closed at 6:30
did Aya arrive at the library?
A.
B.
C.
D.
P.M.
What time
5:32 P.M.
5:42 P.M.
5:52 P.M.
7:18 P.M.
40. David’s gymnastics class ended at 4:15 P.M. It lasted for 46 minutes.
Someone asked David what time the class started. Explain how David
could find the answer.
____ 41. Mr. Wallis says he is 6 feet 3 inches tall. How tall is he in inches?
A.
B.
C.
D.
75 inches
72 inches
69 inches
33 inches
____ 42. Erin ships a gift through the mail. The gift weighs 8 pounds 11 ounces. She
packs the gift in a shipping box with bubble wrap. The package weighs 12
pounds 4 ounces. How much does the shipping box and bubble wrap
weigh?
A.
B.
C.
D.
4 pounds 7 ounces
3 pounds 9 ounces
3 pounds 5 ounces
3 pounds 3 ounces
____ 43. Adrianna mixed 4 quarts 2 pints of lemonade with 1 pint of grape juice to
make party punch. How many pints of party punch does she have?
A.
B.
C.
D.
7 pints
9 pints
10 pints
11 pints
12
Name: ________________________
ID: A
____ 44. Mr. Leung told his students that his desk is 4 feet 6 inches long. What is
this length in inches?
A.
B.
C.
D.
24 inches
48 inches
54 inches
60 inches
45. Phyllis is trying to jump rope for 5 minutes without stopping. The longest
time she has jumped so far is 3 minutes 38 seconds. How far is Phyllis
from her goal? Explain how you solved the problem.
13
ID: A
Chapter 9 Practice Test
Answer Section
1. ANS: C
PTS: 1
DIF: average
REF: Lesson 70: Equivalent Fraction and Decimals
OBJ: Record tenths and hundredths as fractions and decimals.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: equivalent fraction | equivalent decimal
NOT: Number and Operations - Fractions
2. ANS: B
PTS: 1
DIF: average
REF: Lesson 70: Equivalent Fraction and Decimals
OBJ: Record tenths and hundredths as fractions and decimals.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: equivalent fraction | equivalent decimal
NOT: Number and Operations - Fractions
3. ANS: D
PTS: 1
DIF: average
REF: Lesson 70: Equivalent Fraction and Decimals
OBJ: Record tenths and hundredths as fractions and decimals.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: equivalent fraction | equivalent decimal
NOT: Number and Operations - Fractions
1
ID: A
4. ANS: B
PTS: 1
DIF: average
REF: Lesson 70: Equivalent Fraction and Decimals
OBJ: Record tenths and hundredths as fractions and decimals.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: equivalent fraction | equivalent decimal
NOT: Number and Operations - Fractions
5. ANS:
8 , 80 , 0.8, 0.80; Possible explanation: 8 tenths means 0.8 as a decimal
10 100
or 8 as a fraction. Both describe 8 out of 10 equal parts. A model shows
10
me that 8 = 80 . The equivalent decimal is 0.80.
10 100
PTS: 1
DIF: average
REF: Lesson 70: Equivalent Fraction and Decimals
OBJ: Record tenths and hundredths as fractions and decimals.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: equivalent fraction | equivalent decimal
NOT: Number and Operations - Fractions
6. ANS: D
PTS: 1
DIF: average
REF: Lesson 71: Add Fractional Parts of 10 and 100
OBJ: Add fractions when the denominators are 10 or 100.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
2
ID: A
7. ANS: A
PTS: 1
DIF: average
REF: Lesson 71: Add Fractional Parts of 10 and 100
OBJ: Add fractions when the denominators are 10 or 100.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
8. ANS: B
PTS: 1
DIF: average
REF: Lesson 71: Add Fractional Parts of 10 and 100
OBJ: Add fractions when the denominators are 10 or 100.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
9. ANS: C
PTS: 1
DIF: average
REF: Lesson 71: Add Fractional Parts of 10 and 100
OBJ: Add fractions when the denominators are 10 or 100.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
3
ID: A
10. ANS:
Possible explanation: the fractions have different denominators, so I need
to find a common denominator. I can use 100 as a common denominator. I
multiply the numerator and the denominator by 10 to find 3 = 30 . Then I
10 100
add the numerators to get the sum 92 .
100
PTS: 1
DIF: average
REF: Lesson 71: Add Fractional Parts of 10 and 100
OBJ: Add fractions when the denominators are 10 or 100.
NAT: CC.4.NF.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100. For example, express 3/10 as
30/100, and add 3/10 + 4/100 = 34/100.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
11. ANS: C
PTS: 1
DIF: average
REF: Lesson 72: Relate Tenths and Decimals
OBJ: Record tenths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: decimal | tenth
NOT: Number and Operations - Fractions
12. ANS: B
PTS: 1
DIF: average
REF: Lesson 72: Relate Tenths and Decimals
OBJ: Record tenths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: decimal | tenth
NOT: Number and Operations - Fractions
4
ID: A
13. ANS: C
PTS: 1
DIF: average
REF: Lesson 72: Relate Tenths and Decimals
OBJ: Record tenths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: decimal | tenth
NOT: Number and Operations - Fractions
14. ANS: D
PTS: 1
DIF: average
REF: Lesson 72: Relate Tenths and Decimals
OBJ: Record tenths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: decimal | tenth
NOT: Number and Operations - Fractions
15. ANS:
5.6; Possible explanation: the point is between 5 and 6 on the number line
marked in tenths. The point is one tenth past 5 5 , so it represents 5 6 ,
10
10
which is equivalent to 5.6.
PTS: 1
DIF: average
REF: Lesson 72: Relate Tenths and Decimals
OBJ: Record tenths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: decimal | tenth
NOT: Number and Operations - Fractions
5
ID: A
16. ANS: C
PTS: 1
DIF: average
REF: Lesson 73: Relate Hundredths and Decimals
OBJ: Record hundredths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: hundredth
NOT: Number and Operations - Fractions
17. ANS: C
PTS: 1
DIF: average
REF: Lesson 73: Relate Hundredths and Decimals
OBJ: Record hundredths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: hundredth
NOT: Number and Operations - Fractions
18. ANS: B
PTS: 1
DIF: average
REF: Lesson 73: Relate Hundredths and Decimals
OBJ: Record hundredths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: hundredth
NOT: Number and Operations - Fractions
19. ANS: A
PTS: 1
DIF: average
REF: Lesson 73: Relate Hundredths and Decimals
OBJ: Record hundredths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: hundredth
NOT: Number and Operations - Fractions
6
ID: A
20. ANS:
0.81; Possible explanation: 81 shaded squares out of a total of 100 equal
squares can be written as the fraction 81 . 0.81 names the same amount
100
as 81 , so the decimal shown by the model is 0.81.
100
PTS: 1
DIF: average
REF: Lesson 73: Relate Hundredths and Decimals
OBJ: Record hundredths as fractions and as decimals.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
KEY: hundredth
NOT: Number and Operations - Fractions
21. ANS: A
PTS: 1
DIF: average
REF: Lesson 74: Relate Fractions, Decimals, and Money
OBJ: Translate among representations of fractions, decimals, and money.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
22. ANS: D
PTS: 1
DIF: average
REF: Lesson 74: Relate Fractions, Decimals, and Money
OBJ: Translate among representations of fractions, decimals, and money.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
23. ANS: B
PTS: 1
DIF: average
REF: Lesson 74: Relate Fractions, Decimals, and Money
OBJ: Translate among representations of fractions, decimals, and money.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
7
ID: A
24. ANS: C
PTS: 1
DIF: average
REF: Lesson 74: Relate Fractions, Decimals, and Money
OBJ: Translate among representations of fractions, decimals, and money.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
25. ANS:
0.77 and $0.77; Possible explanation: the money amount is 77 hundredths
of a dollar or 77 cents. The decimal also expresses hundredths in terms of
a dollar. Only money amounts have a dollar sign before the decimal
number.
PTS: 1
DIF: average
REF: Lesson 74: Relate Fractions, Decimals, and Money
OBJ: Translate among representations of fractions, decimals, and money.
NAT: CC.4.NF.6 Use decimal notation for fractions with denominators 10
or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62
meters; locate 0.62 on a number line diagram.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
26. ANS: A
PTS: 1
DIF: average
REF: Lesson 75: Compare Decimals
OBJ: Compare decimals to hundredths by reasoning about their size.
NAT: CC.4.NF.7 Compare two decimals to hundredths by reasoning about
their size. Recognize that comparisons are valid only when the two
decimals refer to the same whole. Record the results of comparisons with
the symbols >, =, or <, and justify the conclusions, e.g., by using a visual
model.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
8
ID: A
27. ANS: D
PTS: 1
DIF: average
REF: Lesson 75: Compare Decimals
OBJ: Compare decimals to hundredths by reasoning about their size.
NAT: CC.4.NF.7 Compare two decimals to hundredths by reasoning about
their size. Recognize that comparisons are valid only when the two
decimals refer to the same whole. Record the results of comparisons with
the symbols >, =, or <, and justify the conclusions, e.g., by using a visual
model.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
28. ANS: D
PTS: 1
DIF: average
REF: Lesson 75: Compare Decimals
OBJ: Compare decimals to hundredths by reasoning about their size.
NAT: CC.4.NF.7 Compare two decimals to hundredths by reasoning about
their size. Recognize that comparisons are valid only when the two
decimals refer to the same whole. Record the results of comparisons with
the symbols >, =, or <, and justify the conclusions, e.g., by using a visual
model.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
29. ANS: C
PTS: 1
DIF: average
REF: Lesson 75: Compare Decimals
OBJ: Compare decimals to hundredths by reasoning about their size.
NAT: CC.4.NF.7 Compare two decimals to hundredths by reasoning about
their size. Recognize that comparisons are valid only when the two
decimals refer to the same whole. Record the results of comparisons with
the symbols >, =, or <, and justify the conclusions, e.g., by using a visual
model.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
9
ID: A
30. ANS:
2.4, 2.3, 2.2 and 2.1; Possible explanation: I drew a number line that shows
tenths from 2.0 to 3.0 and marked where 2.42 would be located. Then I
saw that 2.1, 2.2, 2.3, and 2.4 are to the left of 2.42, but to the right of 2.0.
So I know there are no other decimal numbers in tenths that are less than
2.42 and greater than 2.0.
PTS: 1
DIF: average
REF: Lesson 75: Compare Decimals
OBJ: Compare decimals to hundredths by reasoning about their size.
NAT: CC.4.NF.7 Compare two decimals to hundredths by reasoning about
their size. Recognize that comparisons are valid only when the two
decimals refer to the same whole. Record the results of comparisons with
the symbols >, =, or <, and justify the conclusions, e.g., by using a visual
model.
TOP: Understand decimal notation for fractions, and compare decimal
fractions.
NOT: Number and Operations - Fractions
31. ANS: A
PTS: 1
DIF: average
REF: Lesson 84: Problem Solving • Money
OBJ: Solve problems by using the strategy act it out.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
32. ANS: C
PTS: 1
DIF: average
REF: Lesson 84: Problem Solving • Money
OBJ: Solve problems by using the strategy act it out.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
10
ID: A
33. ANS: D
PTS: 1
DIF: average
REF: Lesson 84: Problem Solving • Money
OBJ: Solve problems by using the strategy act it out.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
34. ANS: A
PTS: 1
DIF: average
REF: Lesson 84: Problem Solving • Money
OBJ: Solve problems by using the strategy act it out.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
11
ID: A
35. ANS:
$2.72; Possible explanation: I share 8 one-dollar bills; each boy gets $2,
and 2 dollar bills are left. $1 = 10 dimes, so $2 = 20 dimes. 20 dimes
shared among 3 boys gives each boy 6 dimes with 2 dimes left. I change
the 2 dimes and 16 cents into pennies, so I have 36 pennies, which shared
among 3 boys is 12 pennies each. So, each boy has 2 dollar bills + 6
dimes + 12 pennies or $2.00 + $0.60 + $0.12 = $2.72.
PTS: 1
DIF: average
REF: Lesson 84: Problem Solving • Money
OBJ: Solve problems by using the strategy act it out.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
36. ANS: D
PTS: 1
DIF: average
REF: Lesson 85: Problem Solving • Elapsed Time
OBJ: Use the strategy draw a diagram to solve elapsed time problems.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: elapsed time
NOT: Measurement and Data
12
ID: A
37. ANS: D
PTS: 1
DIF: average
REF: Lesson 85: Problem Solving • Elapsed Time
OBJ: Use the strategy draw a diagram to solve elapsed time problems.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: elapsed time
NOT: Measurement and Data
38. ANS: A
PTS: 1
DIF: average
REF: Lesson 85: Problem Solving • Elapsed Time
OBJ: Use the strategy draw a diagram to solve elapsed time problems.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: elapsed time
NOT: Measurement and Data
39. ANS: B
PTS: 1
DIF: average
REF: Lesson 85: Problem Solving • Elapsed Time
OBJ: Use the strategy draw a diagram to solve elapsed time problems.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: elapsed time
NOT: Measurement and Data
13
ID: A
40. ANS:
Possible explanation: he could count back 46 minutes starting from 4:15.
He could picture a clock face and imagine moving the minute hand back in
jumps of 5s for 45 minutes, which is 3:30. Then he could move back 1
more minute to 3:29 P.M.
PTS: 1
DIF: average
REF: Lesson 85: Problem Solving • Elapsed Time
OBJ: Use the strategy draw a diagram to solve elapsed time problems.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: elapsed time
NOT: Measurement and Data
41. ANS: A
PTS: 1
DIF: average
REF: Lesson 86: Mixed Measures
OBJ: Solve problems involving mixed measures.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
14
ID: A
42. ANS: B
PTS: 1
DIF: average
REF: Lesson 86: Mixed Measures
OBJ: Solve problems involving mixed measures.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
43. ANS: D
PTS: 1
DIF: average
REF: Lesson 86: Mixed Measures
OBJ: Solve problems involving mixed measures.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
44. ANS: C
PTS: 1
DIF: average
REF: Lesson 86: Mixed Measures
OBJ: Solve problems involving mixed measures.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
15
ID: A
45. ANS:
1 minute 22 seconds; possible explanation: to find the difference between 3
minutes 38 seconds and 5 minutes, I added 1 minute to 3 minutes 38
seconds to get to 4 minutes 38 seconds. Then I counted on 2 seconds to
40 seconds. I added 20 more seconds to get to 5 minutes. So I knew it was
1 minute 22 seconds altogether.
PTS: 1
DIF: average
REF: Lesson 86: Mixed Measures
OBJ: Solve problems involving mixed measures.
NAT: CC.4.MD.2 Use the four operations to solve word problems involving
distances, intervals of time, liquid volumes, masses of objects, and money,
including problems involving simple fractions or decimals, and problems
that require expressing measurements given in a larger unit in terms of a
smaller unit. Represent measurement quantities using diagrams such as
number line diagrams that feature a measurement scale.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
16