1. Name ________________________________________ Date ________________________
Mrs. Labuski / Mrs. Portsmore Period ______________ Final Review R2
Unit 4: Number Theory Approximate Pacing: 11 days
NYS CCLS Topic Textbook On Core Vocabulary
4.OA.4 Prime & Composite / Divisibility Rules 4-1 - divisible, prime, composite
4.OA.4 Factors & Prime Factorization 4-2 - factor, prime factorization
6.NS.4 Greatest Common Factor 4-3 1-6 greatest common factor
6.NS.4 Properties
~Commutative Property (addition &
multiplication)
~Associative Property (addition &
multiplication)
~Identity Property of Zero (addition)
~Identity Property of One (multiplication)
~Property of Zero (multiplication)
p. 669 &
1-5
- Commutative Property
Associative Property
Identity Property of Zero
Identity Property of One
Property of Zero
6.NS.4 Distributive Property p. 669 Distributive Property
6.NS.4 Distributive Property with GCF see eboard
6.EE.3
6.EE.4
Two Equivalent Expressions /
Distributive Property with Variables
- 3-5 like terms, equivalent
expression
Common task: Secret Number
Unit 5: Operations with Fractions Approximate Pacing: 11 days
NYS CCLS Topic Textbook On Core Vocabulary
4.NF.6 Converting Between Decimals &
Fractions
4-4 - terminating decimal, repeating
decimal, mixed number,
numerator, denominator,
3.NF.1 Equivalent Fractions 4-5 - simplest form, equivalent
fraction
4.NF.2 Comparing & Ordering Fractions 4-6 common denominator
like fractions, unlike fraction
4.NF.4a Converting Between Mixed Numbers
& Improper Fractions
4-7 - improper fraction, proper
fraction
6.NS.4 Least Common Multiple 5-5 1-7 multiple, least common multiple
5.NF.1 Adding & Subtracting Factions
~perimeter review
5-7 - least common denominator
5.NF.1 Adding & Subtracting Mixed
Numbers
5-8 -
5.NF.1 Subtracting Fractions with Renaming 5-9 -
Common task: Lighthouse p. 199 in textbook
Unit 6 : Multiplying & Dividing Fractions Approximate Pacing: 9 days
NYS CCLS Topic Textbook On Core Vocabulary
6.NS.1 Multiplying Fractions & Mixed
Numbers
4-9 / 5-1 / 5-2 -
6.NS.1 Dividing Fractions & Mixed Numbers 5-3 p. 7-9 reciprocal
6.NS.1 Problem Solving p. 225 & Textbooks p. 10
Common task: Fraction Boxes

2. 1. Find the sum of and . Write your answer in simplest form.
2. Find the sum of and . Write your answer in simplest form.
3. Steve has 5 cans of soda. If he gives 3 of them away, how many cans of soda does he have left? Write
your answer in simplest form.
4. Change 4 to an improper fraction in lowest terms.
5. Kim is baking a batch of cookies. She needs 2 cups of sugar. If she only has 1 cups, how much more
sugar does Kim need? Write your answer in simplest form.
6. Change 6 to an improper fraction in lowest terms.
7. Jorge is making a videotape of Jorge Jr.’s baseball games. The cassette holds 9 hours of footage. If he has
used 4 hours up, how much time does Jorge have left? Write your answer in simplest form.
8. Change 22 into a mixed number, in simplest form.
7
9. Change
29
5
into a mixed number, in simplest form.
10. The number 357 is
A. prime
B. composite
C. neither prime nor composite
D. both prime and composite
11. What is the greatest common factor of 12 and 56?
12. What is the greatest common factor of 16, 24 and 36?
13. List the first four multiples of 18 in ascending order.
14. The number 393 is
A. prime
B. composite
C. neither prime nor composite
D. both prime and composite

3. 15. Which of the following is divisible by 9?
A. 4320
B. 7350
C. 2341
D. 532
16. What is the Greatest Common Factor of 20 and 125?
A. 10
B. 5
C. 15
D. 20
17. Which fraction is less than ?
A. B. C. D.
18. Which fraction is greater than ?
A. B. C. D.
19. The Yankees have won 68 of 121 games. The Mets have won 57 of 118 games. Who has a better record?
A. the Yankees B. the Mets C. neither
20. Which fraction is equivalent to ?
A. B. C. D.
21. Which list orders the following set of fractions from least to greatest?
, , ,
A. B. C. D.
22. The table shows ice cream flavors that kids like to eat.
According to the table, which flavor do they like best?
A. chocolate
B. vanilla
C. strawberry
D. cotton candy

4. 23. Which list orders the following set of numbers from least to greatest?
, 1 , 0.892, 2.3, 1.2
A. 0.892, 1.2, 1 , , 2.3
B. 0.892, 1.2, 1 , 2.3,
C. 0.892, 1.2, 2.3, , 1
D. 1.2, 0.892, 1 , , 2.3
24. Reggie made nine out of twelve foul shots on basketball practice. Jesse made 3 out of five of his foul shots.
Which player made a greater fraction of his foul shots?
A. Reggie B. Jesse C. Neither; both players made the same percentage.
25. I am thinking of a number that is greater than . Which of the following could not be my number?
A. B. C. D.
26. Express 0.35 as a fraction in simplest form.
27. Express 13.02 as a mixed number in simplest form.
28. Steve walks 5 blocks everyday. Express this number as a decimal.
A. 5.29 B. 5.22 C. D.
29. Express twenty-five and sixty-two thousandths as a mixed number in simplest form.
30. Express sixteen and thirty-two hundredths as a mixed number in simplest form.
31.Change 17 into an improper fraction in lowest terms.
32. Which is equivalent to the fraction ?
A. B. C. D.
33. Multiply 2 × 3 . Express your answer in simplest form.
34. Multiply 4 × 3 . Express your answer in simplest form.
35. What is the product of 2 and 5 ? Express your answer in simplest form

5. 36. Robert drives 2 miles to work every day. If he works 5 days, how many miles will he drive? Express
your answer in simplest form.
37. Cindy wants to make 2 orders of tacos. Each order needs 3 ounces of cheese. How many ounces of
cheese will she need? Express your answer in simplest form.
38. Jim spends 3 days a month away from home. If he did this for 6 months. How many days would Jim
be away from home? Express your answer in simplest form.
39. If there are 30 days in June and Steve only worked of the days, how many days did Steve work? Express
your answer in simplest form.
40. Solve for t and express your answer in simplest form: t = .
41. If Felicia needs 2 cups of sugar to make one batch of cupcakes, how many cups of sugar does she need
to make 7 batches of cupcakes? Write your answer in simplest form.
42. Find the reciprocal of .
43. Find the reciprocal of .
44. Find ÷ 6, and write it in simplest form.
45. There were of a pound of grapes left after the picnic. Cody wanted to split them evenly among his three
friends. How many grapes will each friend get? Express your answer in simplest form.
46. Solve 4 ÷ .
A. 1
B. 1
C. 16 D. 18
47. Solve 3 ÷ .
A. 10 B. 11 C. 1 D. 1
48. Solve 2 ÷ . Express your answer in simplest form.

6. 49. Bill wants to make steps to his back porch. He has a board of wood that is 28 feet long. He wants each step
to be 4 feet long. How many steps can Bill make?
50. How many 2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?
51. Gino has a stick of pepperoni that is 26 inches long. He wants to cut -inch pieces to put on his large
pizza. How many pieces can Gino get from that stick?
A. 50 B. 51 C. 52 D. 53
52. Solve for v. v = 3 ÷ 2 . Express your answer in simplest form.
53. Find the reciprocal of . Express your answer in simplest form.
54. Sid has 6 cans of soda left. He wants to pour the contents evenly into each of 4 cups. How much soda
will be in each cup?
55. A box of pasta contains 16 ounces of pasta. If one serving is 1 ounces, how many servings are in one
box of pasta?
56. Jamal says that 2 + 3 is equal to 3 + 2. Jamal is correct because this is an example of which property of
numbers?
A. commutative property of addition
B. associative property of addition
C. distributive property
D. identity property of addition
57. "a + b = b + a" is an example of which property?
A. identity property of addition
B. associative property of addition
C. distributive property
D. commutative property of addition
58. Carla says that 4 × (5 × 6) is the same as (4 × 5) × 6. Carla is correct because this is an example of the
A. distributive property
B. identity property of multiplication
C. commutative property of multiplication
D. associative property of multiplicatio
59. Shenica is studying the properties of numbers. Her math teacher wrote this expression on the blackboard:
. Which property does this expression illustrate?
A. identity property of addition
B. identity property of multiplication
C. zero property of multiplication
D. distributive property

7. 60. Which property does this expression show: 2 × 0 = 0?
A. zero property of multiplication
B. distributive property
C. identity property of addition
D. identity property of multiplication
61. The expression × 1 = is an example of the
A. identity property of addition
B. identity property of multiplication
C. zero property of multiplication
D. distributive property
62. What is the greatest common factor of 27 and 36?
63. What is the greatest common factor of 36 and 72?
64. What is the least common multiple of 3 and 12?
65. What is the least common multiple of 9 and 15?
66. Seliah is practicing for the long jump for the upcoming track and field meet. Her first jump measured 9 1
/2
feet. Her second jump was 10 1
/4 feet. How much longer was the second jump?
A. 1 1
/2 feet B. 19 3
/4 feet C. 1 1
/4 feet D. 3
/4 feet
67. Samuel is 68 5
/8 inches tall. His younger brother, Spencer, is 6 3
/4 inches shorter. How tall is Spencer?
A. 62 1
/4 inches B. 61 7
/8 inches C. 62 5
/8 inches D. 60 3
/4 inches
68. Bella ran 4 7
/8 miles and Jacob ran 6 1
/4 miles this morning on the nature trail in the park. The park charges
an admission of $2.25 per person, and has already collect $54.00 this morning. How much farther did Jacob run
than Bella this morning?
A. 2 6
/8 miles B. 10 1
/4 miles C. 2 1
/4 miles D. 1 3
/8 miles
69. Bailey’s dog food comes two sizes: 32 1
/2 pounds for the large bag and 17 2
/5 for the smaller size. How
many pounds of dog food did Joan purchase if she bought two large bags and one small bag of Bailey’s dog
food?
A. 65 pounds B. 49 9
/10 pounds C. 49 3
/7 pounds D. 82 2
/5 pounds
70. Which is the prime factorization of 154?
A. 2 × 77 B. 1 × 3 × 51 C. 2 × 7 × 11 D. 22
× 5 × 7
71. The prime factorization of a number is 23
• 13. What is the number?
A. 299 B. 104 C. 78 D. 117
72. What is another way of expressing 24
?
A. 42 B. 2 × 4 C. 24 D. 2 × 2 × 2 × 2
73. Which is the prime factorization of 189?
A. 33
• 7 B. 3 • 63 C. 7 • 27 D. 23
• 7
74. What is another way of expressing 56
?
A. 5 × 5 × 5 × 5 × 5 B. 15,625 C. 56 D. 5 × 6
75. Which is the prime factorization of 68?
A. 2 × 34 B. 2 × 16 C. 22
× 17 D. 25

8. 76. The prime factorization of a number is 23
• 52
. What is the number?
A. 1,196 B. 60 C. 35 D. 200
77. What is another way of expressing 96?
A. 25
× 3 B. 23
× 3 C. 2 × 2 × 2 × 2 × 3 D. 9 × 6
78. Stacy wants to serve a fruit punch mixture at her holiday party. She experiments to see which type of fruit
punch mixture tastes the best. Stacy decided that the mixture with the strongest concentration of fruit punch
tastes the best. Which mixture did she decide upon?
A. Mix A: cups of fruit punch and cups of water
B. Mix B: cups of fruit punch and cups of water
C. Mix C: cups of fruit punch and cups of water
D. Mix D: cups of fruit punch and cups of water

9. Name ________________________________________ Date ________________________
Mrs. Labuski / Mrs. Portsmore Period ______________ Final Review R2
1. 13/24 40. 18 2/3
2. 1 7/15 41. 17 ½
3. 1½ 42. 3/2
4. 14/3 43. 5/4
5. 1 5/12 44. 1/9
6. 34/5 45. 1/4
7. 4 5/6 46. D
8. 3 1/7 47. A
9. 5 4/ 5 48. 3 1/5
10. B 49. 6
11. 4 50. 10
12. 4 51. D
13. 0, 18, 36, 54 52. 1 ¼
14. B 53. 4
15. A 54. 1 2/3
16. B 55. 12
17. C 56. A
18. D 57. D
19. A 58. D
20. A 59. A
21. B 60. A
22. D 61. B
23. A 62. 9
24. A 63. 36
25. D 64. 12
26. 7/20 65. 45
27. 13 1/50 66. D
28. C 67. B
29. 25 31/500 68. D
30. 16 8/25 69. D
31. 107/6 70. C
32. C 71. B
33. 9 1/6 72. D
34. 15 2/35 73. A
35. 11 5/8 74. B
36. 11 2/3 75. C
37. 8 1/3 76. D
38. 22 ¾ 77. A
39. 7 ½ 78. D