Practice and Problem Solving Compute with Percents—Skills … · 2020-03-18 · Practice and...
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141 ©Curriculum Associates, LLC Copying is not permitted. Fluency Practice Practice and Problem Solving Fluency Practice ©Curriculum Associates, LLC Copying is permitted for classroom use. 352 Fluency Practice Form A Find the percent. Compute with Percents—Skills Practice 1 30% of 250 5 2 90% of 130 5 3 15% of 80 5 4 10% of 70 5 5 110% of 630 5 6 125% of 84 5 7 20% of 75 5 8 15% of 40 5 9 25% of 60 5 10 70% of 120 5 11 80% of 80 5 12 50% of 82 5 13 29% of 300 5 14 11% of 100 5 15 75% of 32 5 16 50% of 196 5 17 100% of 90 5 18 10% of 720 5 19 80% of 25 5 20 60% of 70 5 21 8% of 200 5 22 150% of 80 5 23 35% of 40 5 24 40% of 120 5 Name: 352 75 7 15 84 87 98 20 120 117 693 6 64 11 90 42 14 12 105 15 41 24 72 16 48 ©Curriculum Associates, LLC Copying is permitted for classroom use. 353 Fluency Practice Form B Name: Compute with Percents—Skills Practice Find the percent. 1 20% of 15 5 2 140% of 55 5 3 60% of 105 5 4 90% of 170 5 5 50% of 96 5 6 25% of 116 5 7 75% of 24 5 8 100% of 80 5 9 10% of 390 5 10 25% of 480 5 11 19% of 400 5 12 40% of 35 5 13 30% of 520 5 14 70% of 40 5 15 80% of 140 5 16 50% of 122 5 17 11% of 600 5 18 90% of 260 5 19 48% of 200 5 20 75% of 148 5 21 60% of 5 5 22 110% of 80 5 23 40% of 120 5 24 25% of 40 5 353 3 153 18 120 156 61 96 88 77 48 80 76 28 66 111 48 63 29 39 14 112 234 3 10
Transcript of Practice and Problem Solving Compute with Percents—Skills … · 2020-03-18 · Practice and...
141©
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Fluency Practice
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©Curriculum Associates, LLC Copying is permitted for classroom use.352 Fluency Practice
Form AFind the percent.
Compute with Percents—Skills Practice
1 30% of 250 5 2 90% of 130 5 3 15% of 80 5
4 10% of 70 5 5 110% of 630 5 6 125% of 84 5
7 20% of 75 5 8 15% of 40 5 9 25% of 60 5
10 70% of 120 5 11 80% of 80 5 12 50% of 82 5
13 29% of 300 5 14 11% of 100 5 15 75% of 32 5
16 50% of 196 5 17 100% of 90 5 18 10% of 720 5
19 80% of 25 5 20 60% of 70 5 21 8% of 200 5
22 150% of 80 5 23 35% of 40 5 24 40% of 120 5
Name:
352
75
7
15
84
87
98
20
120
117
693
6
64
11
90
42
14
12
105
15
41
24
72
16
48
©Curriculum Associates, LLC Copying is permitted for classroom use. 353Fluency Practice
Form B
Name: Compute with Percents—Skills Practice
Find the percent.
1 20% of 15 5 2 140% of 55 5 3 60% of 105 5
4 90% of 170 5 5 50% of 96 5 6 25% of 116 5
7 75% of 24 5 8 100% of 80 5 9 10% of 390 5
10 25% of 480 5 11 19% of 400 5 12 40% of 35 5
13 30% of 520 5 14 70% of 40 5 15 80% of 140 5
16 50% of 122 5 17 11% of 600 5 18 90% of 260 5
19 48% of 200 5 20 75% of 148 5 21 60% of 5 5
22 110% of 80 5 23 40% of 120 5 24 25% of 40 5
353
3
153
18
120
156
61
96
88
77
48
80
76
28
66
111
48
63
29
39
14
112
234
3
10
142©
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©Curriculum Associates, LLC Copying is permitted for classroom use. 355Fluency Practice
Form B
Name: Compute with Percents—Skills Practice
Use the part and the percent to find the whole.
1 18 5 90% of 2 70 5 70% of 3 54 5 50% of
4 14 5 20% of 5 66 5 11% of 6 64 5 80% of
7 16 5 25% of 8 16 5 10% of 9 49 5 100% of
10 10 5 40% of 11 60 5 75% of 12 198 5 99% of
13 70 5 70% of 14 15 5 60% of 15 2 5 20% of
16 38 5 19% of 17 11 5 25% of 18 8 5 50% of
19 6 5 30% of 20 60 5 15% of 21 24 5 10% of
22 40 5 25% of 23 30 5 10% of 24 15 5 20% of
355
20
70
64
25
100
200
20
160 300 75
100
600
160
80
25
44
400
108
80
49
200
10
16
240
©Curriculum Associates, LLC Copying is permitted for classroom use.354 Fluency Practice
Name:
Form AUse the part and the percent to find the whole.
Compute with Percents—Skills Practice
1 6 5 10% of 2 62 5 50% of 3 15 5 25% of
4 12 5 48% of 5 3 5 30% of 6 8 5 40% of
7 49 5 70% of 8 52 5 26% of 9 50 5 20% of
10 9 5 75% of 11 32 5 80% of 12 11 5 100% of
13 150 5 50% of 14 81 5 90% of 15 186 5 62% of
16 12 5 20% of 17 24 5 75% of 18 40 5 40% of
19 35 5 70% of 20 27 5 10% of 21 98 5 49% of
22 80 5 40% of 23 15 5 15% of 24 30 5 75% of
354
60
25
70
12
300
60
50
200
124
10
200
40
90
32
270
100
60
20
250
11
300
100
200
40
143©
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©Curriculum Associates, LLC Copying is permitted for classroom use. 357Fluency Practice
Name: Compute with Percents— Repeated Reasoning
Find place value patterns.
Describe a pattern you see in one of the sets of problems above
Set A
Set B
1 25% of 4 5 2 25% of 40 5 3 25% of 400 5
4 50% of 4 5 5 50% of 40 5 6 50% of 400 5
7 75% of 4 5 8 75% of 40 5 9 75% of 400 5
1 100% of 300 5 2 10% of 300 5 3 1% of 300 5
4 200% of 300 5 5 20% of 300 5 6 2% of 300 5
7 400% of 300 5 8 40% of 300 5 9 4% of 300 5
357
Answers will vary. Students may see in Set A that taking a percent of a number 10 times
greater than another gives a result 10 times greater.
1
300
2
600
3
1,200
10
30
20
60
30
120
100
3
200
6
300
12
©Curriculum Associates, LLC Copying is permitted for classroom use.356 Fluency Practice
Name:
Compute with Percents— Repeated Reasoning
Find patterns in percents.
Describe a pattern you see in one of the sets of problems above
Set A
Set B
1 60% of 20 5 2 60% of 30 5 3 60% of 40 5
4 50% of 20 5 5 50% of 30 5 6 50% of 40 5
7 40% of 20 5 8 40% of 30 5 9 40% of 40 5
10 30% of 20 5 11 30% of 30 5 12 30% of 40 5
1 8% of 25 5 2 16% of 25 5 3 24% of 25 5
4 8% of 50 5 5 16% of 50 5 6 24% of 50 5
7 8% of 75 5 8 16% of 75 5 9 24% of 75 5
356
Answers will vary. Students may see in Set B that as a percent of a number doubles or
triples, the result also doubles or triples.
12
2
10
4
8
6
6
18
4
15
8
12
12
9
24
6
20
12
16
18
12
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©Curriculum Associates, LLC Copying is permitted for classroom use. 359Fluency Practice
Name: Divide Fractions—Skills Practice
Find the quotient.
1 2 ·· 3 4 3 ·· 6 5 2 1 ·· 2 4 1 ·· 6 5 3 2 ·· 2 4 5 ·· 6 5
4 1 ·· 4 4 1 ·· 6 5 5 2 ·· 4 4 3 ·· 6 5 6 7 ·· 4 4 3 ·· 2 5
7 8 ·· 5 4 4 ·· 10 5 8 2 ·· 3 4 5 ·· 6 5 9 5 ·· 8 4 3 ·· 4 5
10 5 ·· 4 4 10 ·· 12 5 11 4 ·· 6 4 3 ·· 6 5 12 5 ·· 4 4 1 ·· 8 5
13 1 ·· 8 4 5 ·· 4 5 14 3 ·· 2 4 6 ·· 5 5 15 9 ·· 4 4 3 ·· 2 5
16 3 ·· 10 4 6 ·· 5 5 17 6 ·· 4 4 2 ·· 8 5 18 4 ·· 8 4 5 ·· 5 5
Form A
359
4 ·· 3 or 1 1 ·· 3
3 ·· 2 or 1 1 ·· 2
4
3 ·· 2 or 1 1 ·· 2
1 ··· 10
1 ·· 4
3
1
4 ·· 5
4 ·· 3 or 1 1 ·· 3
5 ·· 4 or 1 1 ·· 4
6
6 ·· 5 or 1 1 ·· 5
7 ·· 6 or 1 1 ·· 6
5 ·· 6
10
3 ·· 2 or 1 1 ·· 2
1 ·· 2
©Curriculum Associates, LLC Copying is permitted for classroom use.358 Fluency Practice
Name: Compute with Percents—Repeated Reasoning
Find patterns using the distributive property.
Describe a pattern you see in one of the sets of problems above
Set A
Set B
1 30% of 10 5 2 20% of 10 5 3 50% of 10 5
4 30% of 20 5 5 20% of 20 5 6 50% of 20 5
7 30% of 30 5 8 20% of 30 5 9 50% of 30 5
1 2% of 50 5 2 4% of 50 5 3 6% of 50 5
4 20% of 50 5 5 40% of 50 5 6 60% of 50 5
7 200% of 50 5 8 400% of 50 5 9 600% of 50 5
10 220% of 50 5 11 440% of 50 5 12 660% of 50 5
13 222% of 50 5 14 444% of 50 5 15 666% of 50 5
358
Answers will vary. Students may see in Set A that 50% of a number is the same as 20% of
the number plus 30% of that number.
3
1
6
10
9
100
110
111
2
2
4
20
6
200
220
222
5
3
10
30
15
300
330
333
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©Curriculum Associates, LLC Copying is permitted for classroom use. 361Fluency Practice
Name: Divide Fractions—Repeated Reasoning
Find patterns in fraction division.
Describe a pattern you see in one of the sets of problems above
Set A
1 1 ·· 2 4 1 ·· 2 5 2 3 ·· 2 4 1 ·· 2 5
3 1 ·· 2 4 1 ·· 4 5 4 3 ·· 2 4 1 ·· 4 5
5 1 ·· 2 4 1 ·· 8 5 6 3 ·· 2 4 1 ·· 8 5
7 1 ·· 2 4 1 ·· 16 5 8 3 ·· 2 4 1 ·· 16 5
Set B
1 1 ·· 2 4 1 ·· 4 5 2 3 ·· 2 4 1 ·· 4 5
3 1 ·· 2 4 2 ·· 4 5 4 3 ·· 2 4 2 ·· 4 5
5 1 ·· 2 4 3 ·· 4 5 6 3 ·· 2 4 3 ·· 4 5
7 1 ·· 2 4 4 ·· 4 5 8 3 ·· 2 4 4 ·· 4 5
361
Answers will vary. Students may see in either set that if the dividend is three times as
much, the quotient is also three times as much.
1 3
2
4
8
4 ·· 2 or 2 12 ·· 2 or 6
12 ·· 4 or 3
12 ·· 6 or 2
4 ·· 4 or 1
4 ·· 6 or 2 ·· 3
4 ·· 8 or 1 ·· 2
6
12
24
12 ·· 8 or 3 ·· 2
©Curriculum Associates, LLC Copying is permitted for classroom use.360 Fluency Practice
Name:
Form BFind the quotient.
Divide Fractions—Skills Practice
1 7 ·· 4 4 1 ·· 2 5 2 2 ·· 3 4 2 ·· 3 5 3 5 ·· 6 4 4 ·· 12 5
4 8 ·· 10 4 2 ·· 5 5 5 7 ·· 8 4 6 ·· 8 5 6 5 ·· 6 4 2 ·· 3 5
7 1 ·· 10 4 1 ·· 5 5 8 3 ·· 5 4 2 ·· 3 5 9 5 ·· 3 4 4 ·· 4 5
10 4 ·· 3 4 8 ·· 6 5 11 6 ·· 12 4 1 ·· 3 5 12 3 ·· 8 4 9 ·· 4 5
13 3 ·· 10 4 2 ·· 5 5 14 6 ·· 6 4 4 ·· 3 5 15 10 ·· 4 4 5 ·· 6 5
16 2 ·· 6 4 2 ·· 5 5 17 6 ·· 5 4 3 ·· 10 5 18 1 ·· 5 4 1 ·· 3 5
360
7 ·· 2 or 3 1 ·· 2
2
1 ·· 2
1
3 ·· 4
5 ·· 6
1
7 ·· 6 or 1 1 ·· 6
9 ··· 10
3 ·· 2 or 1 1 ·· 2
3 ·· 4
4
5 ·· 2 or 2 1 ·· 2
5 ·· 4 or 1 1 ·· 4
5 ·· 3 or 1 2 ·· 3
1 ·· 6
3
3 ·· 5
146
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©Curriculum Associates, LLC Copying is permitted for classroom use. 363Fluency Practice
Form B
Name: Divide Whole Numbers—Skills Practice
Find the quotient.
1 45 q ······ 4,410 2 25 q ······ 475 3 21 q ······ 189
4 81 q ······ 972 5 20 q ······ 960 6 54 q ······ 702
7 60 q ······ 8,520 8 33 q ······ 8,580 9 70 q ······ 3,570
10 64 q ······ 47,616 11 14 q ······ 14,168 12 15 q ······ 18,945
13 66 q ······ 89,958 14 75 q ······ 62,025 15 76 q ······ 8,208
363
98 19 9
12 48 13
142 260 51
744 1,012 1,263
1,363 827 108
©Curriculum Associates, LLC Copying is permitted for classroom use.362 Fluency Practice
Name:
Form AFind the quotient.
Divide Whole Numbers—Skills Practice
1 61 q ······ 793 2 25 q ······ 675 3 46 q ······ 506
4 30 q ······ 510 5 41 q ······ 328 6 80 q ······ 5,680
7 35 q ······ 2,170 8 22 q ······ 7,040 9 72 q ······ 7,488
10 63 q ······ 53,865 11 75 q ······ 72,525 12 40 q ······ 9,240
13 44 q ······ 54,164 14 15 q ······ 15,810 15 12 q ······ 17,472
362
13 27 11
17 8 71
62 320 104
855 967 231
1,231 1,054 1,456
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©Curriculum Associates, LLC Copying is permitted for classroom use. 365Fluency Practice
Form A
Name: Add Decimals—Skills Practice
Add.
1 22 098 1 14 103 5 2 6 07 1 12 149 5
3 3 1 1 4 904 5 4 8 062 1 7 189 5
5 11 802 1 32 4 5 6 13 765 1 6 23 5
7 76 147 1 5 07 5 8 63 98 1 0 031 5
9 0 093 1 0 02 5 10 5 2 1 0 871 5
11 41 82 1 7 593 5 12 2 76 1 27 959 5
13 8 91 1 0 092 5 14 33 99 1 24 002 5
15 1 099 1 0 038 5 16 2 08 1 0 671 5
17 9 7 1 0 345 5 18 1 999 1 52 651 5
19 17 76 1 8 1 45 309 5 20 68 821 1 15 34 1 1 009 5
365
36.201
8.004
44.202
81.217
0.113
49.413
9.002
1.137
10.045
18.219
15.251
19.995
64.011
6.071
30.719
57.992
2.751
54.65
71.069 85.17
©Curriculum Associates, LLC Copying is permitted for classroom use.364 Fluency Practice
Name: Divide Whole Numbers—Repeated Reasoning
Find place value patterns.
Describe a pattern you see in one of the sets of problems above
Set A
Set B
1 10 q ······ 16,000 2 100 q ······ 16,000 3 1,000 q ······ 16,000
4 5 q ······ 16,000 5 50 q ······ 16,000 6 500 q ······ 16,000
1 120 4 10 5 2 1,200 4 10 5 3 12,000 4 10 5
4 120 4 20 5 5 1,200 4 20 5 6 12,000 4 20 5
7 120 4 30 5 8 1,200 4 30 5 9 12,000 4 30 5
10 120 4 40 5 11 1,200 4 40 5 12 12,000 4 40 5
364
Answers will vary. Students may see in Set A that a dividend divided by a divisor that is
ten times another divisor results in a quotient that is one tenth the other quotient.
12
6
4
3
120
60
40
30 300
1,200
600
400
1,600 160 16
3,200 320 32
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Fluency Practice
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©Curriculum Associates, LLC Copying is permitted for classroom use. 367Fluency Practice
Name: Add Decimals—Repeated Reasoning
Use patterns and mental math to add.
Describe a pattern you see in one of the sets of problems above
Set A
Set B
1 1 999 1 0 001 5 2 1 999 1 0 002 5 3 1 999 1 0 003 5
4 1 998 1 0 002 5 5 1 998 1 0 003 5 6 1 998 1 0 004 5
7 1 997 1 0 003 5 8 1 997 1 0 004 5 9 1 997 1 0 005 5
1 2 007 1 0 003 5 2 2 008 1 0 003 5 3 2 009 1 0 003 5
4 2 008 1 0 002 5 5 2 009 1 0 002 5 6 2 010 1 0 002 5
7 2 009 1 0 001 5 8 2 010 1 0 001 5 9 2 011 1 0 001 5
367
Answers will vary. Students may see in Set A that the sum remains the same as the first
addend decreases by 0.001 and the second addend increases by 0.001.
2.000
2.010
2.000
2.010
2.000
2.010
2.001
2.011
2.001
2.011
2.001
2.011
2.002
2.012
2.002
2.012
2.002
2.012
©Curriculum Associates, LLC Copying is permitted for classroom use.366 Fluency Practice
Name:
Form BAdd.
Add Decimals—Skills Practice
1 23 189 1 15 014 5 2 7 08 1 11 238 5
3 2 7 1 3 603 5 4 9 073 1 4 479 5
5 13 732 1 36 5 5 6 12 803 1 5 18 5
7 67 258 1 9 05 5 8 54 87 1 0 082 5
9 0 058 1 0 08 5 10 4 4 1 0 936 5
11 52 64 1 4 865 5 12 3 58 1 28 846 5
13 7 92 1 0 084 5 14 44 88 1 35 113 5
15 1 077 1 0 034 5 16 3 06 1 0 863 5
17 9 4 1 0 762 5 18 3 998 1 65 462 5
19 14 45 1 7 1 48 602 5 20 67 462 1 16 82 1 2 008 5
366
38.203
6.303
50.232
76.308
0.138
57.505
8.004
1.111
10.162
18.318
13.552
17.983
54.952
5.336
32.426
79.993
3.923
69.46
70.052 86.29
149©
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©Curriculum Associates, LLC Copying is permitted for classroom use. 369Fluency Practice
Form B
Name: Subtract Decimals—Skills Practice
Subtract.
1 0 08 2 0 067 5 2 94 281 2 40 05 5 3 42 5 2 0 083 5
4 14 082 2 0 243 5 5 0 9 2 0 426 5 6 76 892 2 34 9 5
7 35 87 2 3 435 5 8 28 831 2 19 5 9 10 006 2 0 009 5
10 8 496 2 0 356 5 11 7 792 2 3 66 5 12 32 8 2 0 074 5
13 63 2 2 453 5 14 14 36 2 2 538 5 15 1 092 2 0 4 5
16 0 084 2 0 06 5 17 52 1 2 4 463 5 18 52 156 2 5 163 5
19 3 78 2 0 078 5 20 96 286 2 7 8 5 21 23 94 2 15 358 5
369
0.013
13.839
32.435
8.14
0.024
3.702
54.231
0.474
9.831
4.132
47.637
88.486
42.417
41.992
9.997
32.726
46.993
8.582
60.547 11.822 0.692
©Curriculum Associates, LLC Copying is permitted for classroom use.368 Fluency Practice
Name:
Form ASubtract.
Subtract Decimals—Skills Practice
1 0 09 2 0 072 5 2 82 456 2 50 03 5 3 53 5 2 0 094 5
4 12 091 2 0 132 5 5 0 8 2 0 341 5 6 54 784 2 23 8 5
7 25 76 2 4 213 5 8 27 261 2 18 5 9 10 002 2 0 004 5
10 6 365 2 0 245 5 11 4 598 2 2 46 5 12 36 7 2 0 062 5
13 68 2 6 218 5 14 18 25 2 6 342 5 15 1 087 2 0 3 5
16 0 076 2 0 02 5 17 48 1 2 9 354 5 18 56 285 2 7 293 5
19 2 89 2 0 089 5 20 82 138 2 6 4 5 21 21 98 2 13 761 5
368
0.018
11.959
21.547
6.12
61.782
32.426
0.459
9.261
2.138
11.908
53.406
30.984
9.998
36.638
0.787
0.056 38.746 48.992
2.801 75.738 8.219
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©Curriculum Associates, LLC Copying is permitted for classroom use. 371Fluency Practice
Form A
Name: Multiply Decimals—Skills Practice
Multiply.
1 2 13 0 76
2 52 43 4 5
3 4 523 8 9
4 5 83 7 4
5 0 973 0 23
6 63 523 4 7
7 2 73 0 25
8 8 353 0 46
9 0 8133 4 6
10 0 833 5 8
11 12 33 6 5
12 0 783 42 5
13 912 53 0 85
14 3 63 8 14
15 0 643 31 8
16 5 63 21 42
371
1.596 235.8 40.228 42.92
0.2231 298.544 0.675 3.841
3.7398 4.814 79.95 33.15
775.625 29.304 20.352 119.952
©Curriculum Associates, LLC Copying is permitted for classroom use.370 Fluency Practice
Name: Subtract Decimals—Repeated Reasoning
Use patterns and mental math to subtract.
Describe a pattern you see in one of the sets of problems above
Set A
Set B
1 8 2 0 1 5 2 8 2 0 2 5 3 8 2 0 3 5
4 18 2 0 1 5 5 18 2 0 2 5 6 18 2 0 3 5
7 108 2 0 1 5 8 108 2 0 2 5 9 108 2 0 3 5
1 20 2 0 01 5 2 20 2 0 02 5 3 20 2 0 03 5
4 20 2 1 01 5 5 20 2 1 02 5 6 20 2 1 03 5
7 20 2 2 01 5 8 20 2 2 02 5 9 20 2 2 03 5
370
Answers will vary. Students may see in Set A that when subtracting from the same
number, as the number that is subtracted increases by 0.1, the difference decreases
by 0.1.
7.9
19.99
17.9
18.99
107.9
17.99
7.8
19.98
17.8
18.98
107.8
17.98
7.7
19.97
17.7
18.97
107.7
17.97
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©Curriculum Associates, LLC Copying is permitted for classroom use.372 Fluency Practice
Name:
Form BMultiply.
Multiply Decimals—Skills Practice
1 4 13 0 87
2 65 53 3 2
3 0 653 3 9
4 0 9243 6 2
5 34 783 0 12
6 7 653 0 28
7 0 693 0 34
8 36 253 7 3
9 0 653 24 6
10 73 83 42 9
11 21 43 5 6
12 6 283 3 65
13 2 53 7 39
14 691 53 0 75
15 0 433 61 5
16 7 83 34 16
372
3.567
15.99
4.1736
18.475
209.6
3,166.02
2.142
518.625
2.535
0.2346
119.84
26.445 266.448
5.7288
264.625
22.922
©Curriculum Associates, LLC Copying is permitted for classroom use. 373Fluency Practice
Name: Multiply Decimals—Repeated Reasoning
Find patterns in multiplying decimals.
Describe a pattern you see in one of the sets of problems above
Set A
Set B
1 0 1 3 0 3 5 2 0 1 3 0 6 5
3 0 2 3 0 3 5 4 0 2 3 0 6 5
5 0 4 3 0 3 5 6 0 4 3 0 6 5
7 0 8 3 0 3 5 8 0 8 3 0 6 5
9 1 6 3 0 3 5 10 1 6 3 0 6 5
11 3 2 3 0 3 5 12 3 2 3 0 6 5
1 34 53 5
2 34 53 0 5
3 34 53 0 05
4 34 53 0 005
5 3 453 5
6 3 453 0 5
7 3 453 0 05
8 3 453 0 005
9 0 3453 5
10 0 3453 0 5
11 0 3453 0 05
12 0 3453 0 005
373
Answers will vary. Students may see in Set B that when the decimal moves one place to
the left in one of the factors, the decimal in the product also moves one place to the left.
0.03
0.06
0.12
0.24
0.48
0.96
0.06
0.12
0.24
0.48
0.96
1.92
172.5
17.25
1.725
17.25
1.725
0.1725
1.725
0.1725
0.01725
0.1725
0.01725
0.001725
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©Curriculum Associates, LLC Copying is permitted for classroom use. 375Fluency Practice
Form B
Name: Divide Decimals—Skills Practice
Divide.
1 0 04 q ······ 2 24 2 0 18 q ······ 7 56 3 0 9 q ······ 3 69 4 5 6 q ······ 5 152
5 114 5 q ······ 3 206 6 2 8 q ······ 16 52 7 2 56 q ······ 8 192 8 217 5 q ······ 18 27
9 812 5 q ······ 6 5 10 1 276 q ······ 82 94 11 6 95 q ······ 375 3 12 3 689 q ······ 99 603
13 3 225 q ······ 566 31 14 56 25 q ······ 7 2 15 0 734 q ······ 60 922 16 0 8 q ······ 0 856
375
56 42 4.1 0.92
0.084
27
1.07
0.028 5.9 3.2
0.008 65 54
175.6 0.128 83
©Curriculum Associates, LLC Copying is permitted for classroom use.374 Fluency Practice
Name:
Form ADivide.
Divide Decimals—Skills Practice
1 0 08 q ······ 3 84 2 0 16 q ······ 6 08 3 5 9 q ······ 2 183 4 112 5 q ······ 7 2
5 614 5 q ······ 3 687 6 2 68 q ······ 9 648 7 5 9 q ······ 10 62 8 2 6 q ······ 137 8
9 1 486 q ······ 66 87 10 2 357 q ······ 68 353 11 2 85 q ······ 267 9 12 0 368 q ······ 33 856
13 1 125 q ······ 240 3 14 0 3 q ······ 8 37 15 0 008 q ······ 2 3 16 0 36 q ······ 0 621
374
48 38 0.37 0.064
53
92
1.725
0.006 3.6 1.8
45 29 94
213.6 27.9 287.5
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©Curriculum Associates, LLC Copying is permitted for classroom use.376 Fluency Practice
Name: Divide Decimals—Repeated Reasoning
Compare dividends and quotients to find patterns.
Describe a pattern you see in one of the sets of problems above
Set A
Set B
1 0 5 q ······ 2 2 0 5 q ······ 4 3 0 5 q ······ 8
4 0 5 q ······ 20 5 0 5 q ······ 40 6 0 5 q ······ 80
7 0 5 q ······ 200 8 0 5 q ······ 400 9 0 5 q ······ 800
1 1 4 0 2 5 2 2 4 0 2 5 3 3 4 0 2 5
4 10 4 0 2 5 5 20 4 0 2 5 6 30 4 0 2 5
7 100 4 0 2 5 8 200 4 0 2 5 9 300 4 0 2 5
376
Answers will vary. Students may see in Set A that when the divisor is 0.5, the quotient is
double the dividend.
5
40
50
400
500
10
100
1,000
16
15
160
150
1,500
4 8
80
800 1,600
©Curriculum Associates, LLC Copying is permitted for classroom use. 377Fluency Practice
Form A
Name: Greatest Common Factors—Skills Practice
Find the greatest common factor.
1 24 and 20: 2 36 and 42: 3 16 and 32:
4 12 and 8: 5 80 and 70: 6 50 and 14:
7 100 and 75: 8 15 and 18: 9 14 and 21:
10 40 and 60: 11 25 and 45: 12 33 and 77:
13 36 and 81: 14 64 and 40: 15 35 and 28:
16 17 and 34: 17 15 and 28: 18 3 and 69:
19 18 and 28: 20 27 and 63: 21 20 and 45:
22 54 and 24: 23 18 and 45: 24 72 and 64:
377
4
4
25
20
9
17
2
6 9 8
6
10
3
5
8
1
9
16
2
7
11
7
3
5
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©Curriculum Associates, LLC Copying is permitted for classroom use. 379Fluency Practice
Form A
Name: Least Common Multiples—Skills Practice
Find the least common multiple.
1 4 and 7: 2 5 and 6: 3 3 and 8:
4 4 and 6: 5 6 and 9: 6 10 and 6:
7 2 and 8: 8 3 and 4: 9 5 and 7:
10 8 and 9: 11 12 and 8: 12 8 and 10:
13 9 and 7: 14 2 and 11: 15 6 and 12:
16 11 and 9: 17 9 and 4: 18 3 and 6:
19 5 and 9: 20 11 and 8: 21 10 and 5:
22 13 and 39: 23 4 and 16: 24 7 and 6:
379
28
12
8
72
63
99
45
39 16 42
30
18
12
24
22
36
88
24
30
35
40
12
6
10
©Curriculum Associates, LLC Copying is permitted for classroom use.378 Fluency Practice
Name:
Form BFind the greatest common factor.
Greatest Common Factors—Skills Practice
1 21 and 28: 2 50 and 75: 3 15 and 30:
4 6 and 9: 5 60 and 80: 6 16 and 40:
7 30 and 48: 8 12 and 18: 9 16 and 24:
10 40 and 90: 11 44 and 24: 12 26 and 16:
13 12 and 25: 14 7 and 42: 15 35 and 55:
16 44 and 99: 17 27 and 72: 18 13 and 39:
19 45 and 81: 20 40 and 25: 21 20 and 42:
22 120 and 70: 23 22 and 77: 24 72 and 63:
378
7
3
6
10
1
11
9
10 11 9
25
20
6
4
7
9
5
15
8
8
2
5
13
2
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©Curriculum Associates, LLC Copying is permitted for classroom use.380 Fluency Practice
Name:
Form BFind the least common multiple.
Least Common Multiples—Skills Practice
1 4 and 5: 2 2 and 6: 3 3 and 11:
4 7 and 6: 5 12 and 9: 6 10 and 12:
7 8 and 12: 8 5 and 8: 9 3 and 5:
10 4 and 9: 11 10 and 3: 12 6 and 4:
13 7 and 8: 14 2 and 9: 15 4 and 11:
16 8 and 4: 17 3 and 7: 18 9 and 3:
19 4 and 10: 20 5 and 11: 21 12 and 2:
22 7 and 28: 23 8 and 6: 24 21 and 3:
380
20
42
24
36
56
8
20
28
6
36
40
30
18
21
55
24
33
60
15
12
44
9
12
21
©Curriculum Associates, LLC Copying is permitted for classroom use. 381Fluency Practice
Form A
Name: Exponents—Skills Practice
Evaluate the expression.
1 52 5 2 32 1 72 5 3 42 3 33 5
4 23(43 1 62) 5 5 73 5 6 44(18 1 22) 5
7 43 1 54 5 8 92 2 72
······ 24 5 9 83 5
10 35 1 27 5 11 92 5 12 26 2 33 5
13 102 1 32 ······· 113 5 14 34 5 15 6
2 2 25 ······ 22 5
16 53 2 23 5 17 82 3 62 5 18 33 1 62
······ 32 5
19 25 5 20 103 ······ 22 1 62 5 21 63 5
381
25
800
689
371
109
117
32
58
343
2
81
81
2,304
25
432
1,280
512
37
1
7
216
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©Curriculum Associates, LLC Copying is permitted for classroom use. 383Fluency Practice
Name: Exponents—Repeated Reasoning
Look for patterns in expressions with exponents.
Describe a pattern you see in one of the sets of problems above
Set A
Set B
1 102 3 101 5 2 102 3 102 5 3 102 3 103 5
4 103 3 101 5 5 103 3 102 5 6 103 3 103 5
7 104 3 101 5 8 104 3 102 5 9 104 3 103 5
1 107 ··· 10 5 2 107
··· 102 5 3 107 ··· 103 5
4 108 ··· 10 5 5 108
··· 102 5 6 108 ··· 103 5
7 109 ··· 10 5 8 109
··· 102 5 9 109 ··· 103 5
383
Answers will vary. Students may see in Set A that when multiplying tens raised to a power,
the sum of the exponents is the number of zeros in the product.
1,000
1,000,000
10,000
10,000,000
100,000
100,000,000
10,000
100,000
100,000
1,000,000
1,000,000
10,000,000
100,000
10,000
1,000,000
100,000
10,000,000
1,000,000
©Curriculum Associates, LLC Copying is permitted for classroom use.382 Fluency Practice
Name:
Form BEvaluate the expression.
Exponents—Skills Practice
1 62 5 2 42 1 82 5 3 52 × 33 5
4 32(92 1 24) 5 5 93 5 6 23(73 1 19) 5
7 53 1 35 5 8 62 2 32
······ 33 5 9 43 5
10 25 1 73 5 11 82 5 12 34 2 24 5
13 92 1 103
······· 112 5 14 74 5 15 102 2 82 ······· 32 5
16 44 2 52 5 17 72 3 92 5 18 62 1 82
······ 52 5
19 26 5 20 104 ······ 82 1 42 5 21 45 5
382
36
873
368
375
1,081
231
64
80
729
1
64
2,401
3,969
125
675
2,752
64
65
4
4
1,024
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Fluency Practice
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©Curriculum Associates, LLC Copying is permitted for classroom use.384 Fluency Practice
Name:
Form AEvaluate the expression.
Order of Operations—Skills Practice
1 7 1 6 3 2 5 2 0 25 3 16 1 4 5
3 26 2 3 3 4 5 4 18 1 14 3 0 5 5
5 18 4 2 1 7 5 6 8 1 6 3 32 5
7 18 2 82 4 4 5 8 12 2 8 3 0 25 5
9 9 1 25 4 52 5 10 62 4 9 1 3 5
11 48 4 0 5 1 2 5 12 42 1 0 2 3 30 5
13 36 4 3 3 4 5 14 131 2 4 3 23 5
15 56 2 0 3 3 40 5 16 32 2 8 1 11 5
17 96 4 24 1 32 5 18 35 2 0 5 3 56 5
19 102 4 5 3 4 5 20 33 1 18 4 3 5
384
19
14
16
2
10
98
48
44 35
8
25
62
10
7
48
99
38 7
80 33
©Curriculum Associates, LLC Copying is permitted for classroom use. 385Fluency Practice
Form B
Name: Order of Operations—Skills Practice
Evaluate the expression.
1 8 1 7 3 2 5 2 0 4 3 20 1 5 5
3 34 2 4 3 8 5 4 26 1 12 3 0 5 5
5 24 4 2 1 6 5 6 6 1 5 3 42 5
7 18 2 62 4 3 5 8 16 2 12 3 0 25 5
9 4 1 9 4 32 5 10 82 4 2 1 6 5
11 26 4 0 5 1 6 5 12 54 1 0 2 3 60 5
13 54 4 6 3 3 5 14 191 2 2 3 34 5
15 48 2 0 3 3 30 5 16 46 2 7 1 14 5
17 72 4 23 1 1 5 18 41 2 0 5 3 46 5
19 62 4 9 3 2 5 20 43 1 32 4 8 5
385
22
2
18
6
5
58
27
39 53
13
32
86
13
38
66
29
10 18
8 68
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Practice and Prob
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©Curriculum Associates, LLC Copying is permitted for classroom use.386 Fluency Practice
Name:
Form AEvaluate the expression.
Evaluate Expressions with Variables—Skills Practice
1 s = 7; 6s2 = 2 x = 3; 4x3 1 2 =
3 n = 1 ·· 8 ; 2 ·· n 5 4 x = 1 ·· 6 ; 18x 1 4 5
5 x = 7; 4x 1 8 ······ 2 5 6 p 5 0 5; 42 2 42p 5
7 x 5 0 25; 48x 2 3 5 8 a 5 3; a3 5
9 y 5 84; y ·· 4 2 15 5 10 c 5 35; 9c ·· 5 1 32 5
11 n 5 0 5; 8 ·· n 1 8 5 12 x 5 3; 169 2 2x4 5
13 a 5 3; 12a2 5 14 w 5 1 ·· 5 ; 38 2 15w 5
15 x 5 9; 8x 1 3 5 16 m 5 2; 16 ··· 2m 5
17 x 5 7; x2 2 52 5 18 p 5 25; p ··· 100 (120) 5
386
294
16
18
9
6
24
108
75 4
110
7
21
27
95
7
35
3024
©Curriculum Associates, LLC Copying is permitted for classroom use. 387Fluency Practice
Form B
Name: Evaluate Expressions with Variables—Skills Practice
Evaluate the expression.
1 s 5 8; 6s2 5 2 x 5 2; 7x3 1 4 5
3 n 5 1 ·· 6 ; 4 ·· n 5 4 x 5 1 ·· 3 ; 12x 1 7 5
5 x 5 8; 6x 1 9 ······ 3 5 6 p 5 0 2; 20 2 20p 5
7 x 5 2; 78 2 4x3 5 8 a 5 2; a3 5
9 y 5 96; y ·· 6 2 12 5 10 c 5 45; 9c ·· 5 1 32 5
11 n 5 0 5; 12 ·· n 1 15 5 12 x 5 2; 24x 4 6 5
13 a 5 6; 5a2 5 14 w 5 1 ·· 2 ; 46 2 4w 5
15 x 5 7; 9x 1 4 5 16 m 5 3; 30 ·· 5m 5
17 x 5 9; x2 2 72 5 18 p 5 50; p ··· 100 (460) 5
387
384
24
19
46
4
39
180
67 2
60
11
16
8
113
8
44
32 230
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©Curriculum Associates, LLC Copying is permitted for classroom use.388 Fluency Practice
Name:
Form AUse the distributive property to write an equivalent expression.
Equivalent Expressions—Skills Practice
1 5x 1 20 5 2 3(x 1 6) 5
3 8(4n 1 3) 5 4 7x 2 35 5
5 12x 2 6 5 6 20p 1 16 5
7 9(2x 1 9) 5 8 5(6 1 13a) 5
9 36 1 9y 5 10 6(c 1 8) 5
11 7(n 2 3) 5 12 2(12 1 10x) 5
13 21 1 15a 5 14 4(5 2 4w) 5
15 32 2 12x 5 16 10(2m 2 7) 5
17 8 1 36x 5 18 11(6 1 4p) 5
19 25(4n 1 8) 5 20 20w 1 30 5
388
5(x 1 4)
32n 1 24
6(2x 2 1)
18x 1 81
9(4 1 y)
7n 2 21
3(7 1 5a)
4(8 2 3x) 20m 2 70
3x 1 18
7(x 2 5)
4(5p 1 4)
30 1 65a
6c 1 48
24 1 20x
20 2 16w
4(2 1 9x) 66 1 44p
100n 1 200 10(2w 1 3)
©Curriculum Associates, LLC Copying is permitted for classroom use. 389Fluency Practice
Form B
Name: Equivalent Expressions—Skills Practice
Use the distributive property to write an equivalent expression.
1 6x 1 18 5 2 4(x + 7) 5
3 9(3n + 5) 5 4 4x 2 32 5
5 15x 2 5 5 6 30p + 18 5
7 8(3x + 7) 5 8 7(9 + 12a) 5
9 42 + 6y 5 10 3(c + 4) 5
11 5(n 2 8) 5 12 6(5 + 9x) 5
13 24 + 18a 5 14 11(8 2 6w) 5
15 42 2 36x 5 16 25(10m + 3) 5
17 6 + 14x 5 18 10(3p 2 4) 5
19 2(7n + 6) 5 20 40w + 70 5
389
6(x 1 3)
27n 1 45
5(3x 2 1)
24x 1 56
6(7 1 y)
5n 2 40
6(4 1 3a)
6(7 2 6x) 250m 1 75
4x 1 28
4(x 2 8)
6(5p 1 3)
63 1 84a
3c 1 12
30 1 54x
88 2 66w
2(3 1 7x) 30p 2 40
14n 1 12 10(4w 1 7)
160©
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©Curriculum Associates, LLC Copying is permitted for classroom use. 391Fluency Practice
Form B
Name: Solving Equations—Skills Practice
Solve the equation.
1 x 1 26 5 39; x 5 2 4 5 5y; y 5
3 7 ·· 3 1 x 5 3; x 5 4 8w 5 48; w 5
5 7 ·· 4 5 1 1 m; m 5 6 0 5x 5 18; x 5
7 5 ·· 2 5 3x; x 5 8 225 1 p 5 260; p 5
9 3 ·· 4 x 5 24; x 5 10 x 1 41 5 63; x 5
11 c 1 2 ·· 3 5 4; c 5 12 0 4 1 x 5 4; x 5
13 7 5 6y; y 5 14 x 1 0 5 5 3 7; x 5
15 48 1 n 5 79; n 5 16 43 5 11 1 x; x 5
17 0 8 1 w 5 5; w 5 18 4y 5 248; y 5
391
13
2 ·· 3
3 ·· 4
5 ·· 6
32
3 1 ·· 3 or 10 ··· 3
7 ·· 6 or 1 1 ·· 6
31 32
4 ·· 5
6
36
35
22
3.6
3.2
4.2 62
©Curriculum Associates, LLC Copying is permitted for classroom use.390 Fluency Practice
Name:
Form ASolve the equation.
Solving Equations—Skills Practice
1 x 1 24 5 36; x 5 2 5 5 6y; y 5
3 5 ·· 3 1 x 5 2; x 5 4 7w 5 28; w 5
5 9 ·· 5 5 1 1 m; m 5 6 0 5x 5 14; x 5
7 7 ·· 2 5 4x; x 5 8 215 1 p 5 230; p 5
9 5 ·· 6 x 5 20; x 5 10 x 1 32 5 45; x 5
11 c 1 2 ·· 5 5 2; c 5 12 0 2 1 x 5 3; x 5
13 9 5 4y; y 5 14 x 1 0 8 5 4 3; x 5
15 56 1 n 5 97; n 5 16 39 5 17 1 x; x 5
17 0 6 1 w 5 4; w 5 18 9y 5 189; y 5
390
12
1 ·· 3
4 ·· 5
7 ·· 8
24
1 3 ·· 5 or 8 ·· 5
9 ·· 4 or 2 1 ·· 4
41 22
5 ·· 6
4
28
15
13
2.8
3.5
3.4 21
