Name: ______________________
Class: _________________
Date: _________
ID: A
Decimal Ops Unit Test Review Sheet
Short Answer
1. Put decimal points in the correct places to get the sum or difference. Explain your reasoning.
a. 76 + 341 = 4.17
b.
3207 + 19 = 33.97
c.
d.
374 – 385 = 33.55
4 – 11 = 3.89
2. Ms. Sze is grading math tests. A student’s work on a problem is given below:
0.23 × 2.07 = 0.04761
Is the student correct? Explain.
3. The weight of an object is affected by gravity. Something that weighs one pound on Earth will weigh
1.08 times that weight (or 1.08 pounds) on Saturn.
a. If a rock weighs 3 pounds on Earth, what will it weigh on Saturn?
b. If a rock weighs 3.24 pounds on Saturn, what will it weigh on Earth?
4. Ms. Ngyen has a total of 150 students in her classes. Of these students, 30% eat during the first lunch
period, 20% eat during the second lunch period, and the rest eat during the third lunch period. How many
of her students eat during each lunch period?
1
Name: ______________________
ID: A
5. The diagram below shows a rectangular plot of land cut into squares of 2.65 acres each.
a. What is the acreage of the shaded region? Explain your reasoning.
b. What is the acreage of the unshaded region? Explain your reasoning.
c. In this area, land sells for $2475 per acre.
i. What would the price of the shaded region be?
ii. What would the price of the unshaded region be?
d. In this area, owners pay property taxes of $13.50 per thousand dollars of property value. What is
the total annual property tax for the shaded and unshaded regions combined? Explain your
reasoning.
Use the number sentence to help you solve the following problems.
6. 936 ÷ 12 = 78
a. 936 ÷ 1.2
d. 0.936 ÷ 12
b. 93.6 ÷ 12
e . 936 ÷ 0.12
c. 9.36 ÷ 12
f. 936 ÷ 0.012
7. Find the product. Show your work.
a. 2.4 × 0.8
1
d. 12.2 ×
2
b. 5.21 × 1.1
c. 1.29 × 8
e . 74.6 × 1.5
f. 3.04 × 100
8. 3.5 is what percent of 14? Explain your reasoning.
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Four stores are having a sale on DVDs. Which store is offering the best deal?
A. Store 1: $3 off the regular price of $18.99
B. Store 2: 10% off the regular price of $18.99
C. Store 3: 15% off the regular price of $18.99
D. Store 5:
1
off the regular price of $18.99
4
2
Name: ______________________
____
2. A group of students went to the grocery store. The students spent $15.20 altogether. Each student spent
$1.90. How many students were in this group?
A. 6
____
C. 0.78 ÷ 0.039
D. 0.078 ÷ 0.039
B. $50
C. $75
D. $80
B. 0.82 ft
C. 0.78 ft
D. 1.78 ft
B. $4.20
C. $5.00
D. $4.40
C. 0.3 × 0.004
D. 0.003 × 0.04
7. Which product is the smallest?
A. 0.3 × 0.4
____
B. 7.80 ÷ 3.9
6. Charissa stopped at a deli to buy lunch. She bought a turkey sandwich for $2.40, a bag of pretzels for
$.70, and a lemonade for $1.10. How much did she pay for her lunch?
A. $4.00
____
D. 9
5. During gym class, Troy jumped 4.5 feet. Brendon jumped 3.72 feet. How much further did Troy jump
than Brendon?
A. 1.22 ft
____
C. 8
4. Gabrielle bought 5 CDs. The individual cost of each CD was: $14.50, $13.95, $14.99, $12.75, and
$16.95. The closest estimate to the total cost of the five CDs is:
A. $100
____
B. 7
3. Which division problem does not have the same quotient as 7.8 ÷ 3.9?
A. 78 ÷ 39
____
ID: A
B. 0.03 × 0.04
8. After which digit would the decimal be placed in the following product?
2.4 × 51.44 = 123456
A. after the 1
____
B. after the 2
C. after the 3
D. after the 4
9. How many decimal places are in the division of 3.75 ÷ 0.25?
A. 0
B. 1
C. 2
D. 4
____ 10. Which problem has the same quotient as 3.2 ÷ 14.5?
A. 32 ÷ 14.5
B. 320 ÷ 145
C. 32 ÷ 145
D. 14.5 ÷ 3.2
Use >, =, or < to complete the statement.
____ 11. 0.48 + 0.13 + 0.21
A. >
0.82
B. =
C. <
____ 12. Manny has $75.59 in his savings account. He takes out $12.15. How much money does he have left in
the account?
A. $63.45
B. $63.44
C. $85.72
D. $87.74
3
Name: ______________________
ID: A
Find the product.
____ 13. 0.4 × 0.59
A. 2.036
B. 0.056
C. 0.236
D. 2.36
____ 14. 0.4(0.003)
A. 0.0012
B. 0.016
C. 0.0016
D. 0.012
C. 8.2
D. 82
C. 238,670
D. 23.867
Use mental math to find the product.
____ 15. 1, 000 × 0.082
A. 820
B. 0.82
Use mental math to find the quotient.
____ 16. 2, 386.7 ÷ 100
A. 238.67
B. 2.3867
Find the quotient. Identify the quotient as a terminating or repeating decimal.
____ 17. 28 ÷ 36
A. 1.8; terminating
B. 0.8; terminating
4
% of $75,000.
5
A. $60,000.00
B. $9,375.00
C. 0.7 ; repeating
D. 1.7 ; repeating
____ 18. Find
C. $600.00
D. $937.50
____ 19. The sales tax rate is 6.9%.
a. Find the tax paid for a pair of boots with a list price of $128.
b. What is the total cost of the pair of boots?
A. $8.83; $128.88
B. $8.83; $136.83
C. $0.88; $136.83
D. $0.88; $128.88
____ 20. Find the measure of the central angle that you would need to draw to represent 86% in a circle graph.
Round to the nearest degree if necessary.
A. 31°
B. 292°
C. 310°
D. 328°
4
ID: A
Decimal Ops Unit Test Review Sheet
Answer Section
SHORT ANSWER
1. ANS:
a. 0.76 + 3.41 = 4.17
b. 32.07 + 1.9 = 33.97
c. 4 – 0.11 = 3.89
d. 37.4 – 3.85 = 33.55
PTS: 1
DIF: L2
REF: Decimal Ops | Check Up 2
OBJ: Investigation 2: Adding and Subtracting Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | CC 6.NS.6.c | NAEP M2b | NAEP N2b | NAEP
N3a | NAEP N3d | NAEP N3f
2. ANS:
No. Each factor is a decimal to the hundredths place meaning the solution will have only a
ten-thousandths place (100 × 100), not a hundred-thousandths place as shown. The solution should be
0.4761.
PTS: 1
DIF: L2
REF: Decimal Ops | Unit Test
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 3.1 KEY: multiply decimals
3. ANS:
a. 3 × 1.08 = 3.24 pounds
b. 3 pounds
PTS: 1
DIF: L2
REF: Decimal Ops | Unit Test
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 3.2 | Problem 3.3
KEY: multiply decimals
4. ANS:
In the first lunch period, there are 0.3 × 150 = 45 students. In the second lunch period, there are
0.2 × 150 = 30 students. This leaves 50% (or half) for the third lunch period, or 75 students.
PTS:
OBJ:
STA:
KEY:
1
DIF: L2
REF: Decimal Ops | Question Bank
Investigation 4: Using Percents
NAT: CC 6.RP.3.c | NAEP D1b | NAEP N3g | NAEP N4d
6NY 6.N.12 | 6NY 6.N.26
TOP: Problem 5.2 Solving Percent Problems
percent problem | multiply decimals
1
ID: A
5. ANS:
a. 23.85; Since one square is 2.65 acres, 2.65 × 9 = 23.85.
b. 29.15; Since one square equals 2.65 acres, 2.65 × 11 = 29.15.
c.
i.
$59,028.75
ii. $72,146.25
d. $1770.86; 2.65 × 20 × $2475 = $131, 175,
$13.50
× $131, 175 = $1770.86
1000
PTS: 1
DIF: L2
REF: Decimal Ops | Additional Practice Investigation 3
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 2.1 Relating Fraction and Decimal Multiplication
KEY: fraction multiplication | multiply decimals
6. ANS:
a. 780
b. 7.8
c. 0.78
d. 0.078
e . 7800
f. 78000
PTS: 1
DIF: L2
REF: Decimal Ops | Additional Practice Investigation 3
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.2 | CC 6.NS.3 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 3.3 Exploring Dividing Decimals
KEY: number sentence | divide decimals | fact families
7. ANS:
a. 1.92
b. 5.731
c. 10.32
d. 6.1
e. 111.9
f. 304
PTS: 1
DIF: L2
REF: Decimal Ops | Additional Practice Investigation 3
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 2.3 Finding Decimal Products
KEY: multiply decimals
8. ANS:
35
1 3.5
1
25%, since
= ,
=
or 25%
140
4 14
4
PTS:
OBJ:
STA:
KEY:
1
DIF: L2
Investigation 4: Using Percents
6NY 6.N.12 | 6NY 6.N.26
percent problems
REF: Decimal Ops | Additional Practice Investigation 4
NAT: CC 6.RP.3.c | NAEP D1b | NAEP N3g | NAEP N4d
TOP: Problem 5.2 Solving Percent Problems
2
ID: A
MULTIPLE CHOICE
1. ANS: D
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 4: Using Percents
NAT: CC 6.NS.6 | CC 6.RP.3.c | NAEP N3a | NAEP N3g | NAEP N4d
STA: 6NY 6.N.12 TOP: Problem 4.3 Using Discounts
KEY: find discounts | percent problem | multiply decimals
2. ANS: C
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.2 | CC 6.NS.3 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 3.3 Exploring Dividing Decimals
KEY: divide decimals
3. ANS: C
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.2 | CC 6.NS.3 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 3.3 Exploring Dividing Decimals
KEY: divide decimals
4. ANS: C
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 1: Decimal Operations and Estimation
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | CC 6.NS.6.c | NAEP M2b | NAEP N2b | NAEP
N3a STA:
6NY 6.N.27
TOP: Problem 1.1 Estimating With Decimals
KEY: estimate | add decimals
5. ANS: C
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 2: Adding and Subtracting Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | CC 6.NS.6.c | NAEP M2b | NAEP N2b | NAEP
N3a STA:
6NY 6.N.27
TOP: Problem 1.2 Adding and Subtracting Decimals
KEY: add decimals | subtract decimals
6. ANS: B
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 2: Adding and Subtracting Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | CC 6.NS.6.c | NAEP M2b | NAEP N2b | NAEP
N3a STA:
6NY 6.N.27
TOP: Problem 1.2 Adding and Subtracting Decimals
KEY: add decimals | subtract decimals
7. ANS: D
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 2.4 FactorñProduct Relationships
KEY: fact families | multiply decimals | powers of ten | compare decimals
8. ANS: C
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 2.3 Finding Decimal Products
KEY: multiply decimals | place value
9. ANS: A
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.2 | CC 6.NS.3 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 3.3 Exploring Dividing Decimals
KEY: divide decimals | place value
3
ID: A
10. ANS: C
PTS: 1
DIF: L2
REF: Decimal Ops | Multiple Choice
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.2 | CC 6.NS.3 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 3.2 Using Common Denominators to Divide Decimals
KEY: divisor | dividend | quotient | common denominators | divide decimals
11. ANS: B
PTS: 1
DIF: L2
REF: Decimal Ops | Skills Practice Investigation 1
OBJ: Investigation 1: Decimal Operations and Estimation
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | CC 6.NS.6.c | NAEP M2b | NAEP N2b | NAEP
N3a STA:
6NY 6.N.27
TOP: Problem 1.2 Adding and Subtracting Decimals
KEY: adding decimals | comparing decimals | decimals
12. ANS: B
PTS: 1
DIF: L1
REF: Decimal Ops | Skills Practice Investigation 2
OBJ: Investigation 2: Adding and Subtracting Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | CC 6.NS.6.c | NAEP M2b | NAEP N2b | NAEP
N3a STA:
6NY 6.N.27
TOP: Problem 1.2 Adding and Subtracting Decimals
KEY: word problem | problem solving | estimation | subtracting decimals | subtracting decimals from
decimals | decimals
13. ANS: C
PTS: 1
DIF: L1
REF: Decimal Ops | Skills Practice Investigation 3
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 2.3 Finding Decimal Products
KEY: multiplying decimals by decimals | multiplying decimals | decimals
14. ANS: A
PTS: 1
DIF: L1
REF: Decimal Ops | Skills Practice Investigation 3
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 2.3 Finding Decimal Products
KEY: multiplying decimals | multiplying decimals by decimals | decimals
15. ANS: D
PTS: 1
DIF: L1
REF: Decimal Ops | Skills Practice Investigation 3
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.3 | CC 6.NS.6 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 2.2 Missing Factors
KEY: multiplying by 10, 100, and 1000 | multiplying decimals | using mental math
16. ANS: D
PTS: 1
DIF: L1
REF: Decimal Ops | Skills Practice Investigation 3
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.2 | CC 6.NS.3 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 3.1 Relating Fraction and Decimal Division
KEY: dividing by 10, 100, and 1000 | decimals | using mental math
4
ID: A
17. ANS: C
PTS: 1
DIF: L1
REF: Decimal Ops | Skills Practice Investigation 3
OBJ: Investigation 3: Multiplying and Dividing Decimals
NAT: CC 6.EE.2.b | CC 6.EE.5 | CC 6.NS.2 | CC 6.NS.3 | NAEP M2b | NAEP N2b | NAEP N3a | NAEP
N3d | NAEP N3f
STA: 6NY 6.N.4 | 6NY 6.N.16 | 6NY 6.N.27 | 6NY 6.S.5
TOP: Problem 3.3 Exploring Dividing Decimals
KEY: repeating decimal | terminating decimal | dividing decimals by whole numbers | dividing decimals |
decimals
18. ANS: C
PTS: 1
DIF: L3
REF: Decimal Ops | Skills Practice Investigation 4
OBJ: Investigation 4: Using Percents
NAT: CC 6.RP.3.c | NAEP D1b | NAEP N3g | NAEP N4d
STA: 6NY 6.N.12 | 6NY 6.N.26
TOP: Problem 5.1 Finding Percent Discounts
KEY: percent | percents and fractions | finding the part | equal ratios
19. ANS: B
PTS: 1
DIF: L1
REF: Decimal Ops | Skills Practice Investigation 4
OBJ: Investigation 4: Using Percents
NAT: CC 6.RP.3.c | NAEP D1b | NAEP N3g | NAEP N4d
STA: 6NY 6.N.12 | 6NY 6.N.26
TOP: Problem 5.2 Solving Percent Problems
KEY: percent | equation | finding the part | sales tax | word problem | problem solving | multi-part
question
20. ANS: C
PTS: 1
DIF: L1
REF: Decimal Ops | Skills Practice Investigation 4
OBJ: Investigation 4: Using Percents
NAT: CC 6.RP.3.c | NAEP D1b | NAEP N3g | NAEP N4d
STA: 6NY 6.N.12 | 6NY 6.N.26
TOP: Problem 5.3 Making Circle Graphs
KEY: circle graph | percents | proportion | central angle
5