4th Grade Math
Rules & Patterns
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review &
By: Kathleen & Mande’
2 page
assessment
Name________________
Review
Rules &
Patterns
Complete the pattern.
1.
4, 8, 16, ___, 64, 128
2.
6, 11, 16, 21, ___, 31, ___
3.
4.
3, 6, 10, 20, ___, 48, 52, ___, 108
65, ___, 43, 32, ___
5.
______ ______ ______ ______
Extend the pattern. Identify the rule.
6. 3, 10, 17, 24, 31, ___, ___,...
Rule: _______________
Create a pattern.
8. Starting term: 6.
9.
Starting term: 3.
10. Starting term: 5.
7.
2, 6, 18, 54, ___, ___,...
Rule: __________________
Add 3.
Multiply by 4.
Multiply by 2. Add 1.
___, ___, ___, ___, ___,...
___, ___, ___, ___, ___,...
___, ___, ___, ___, ___,...
In & Out Tables
Determine the rule for each table. Then, complete each table.
11.
12. In 4
5
9
11
In 5
7 12 14 18
Out 12 15 21 27
Out 13 15
22
Rule: _________________
Rule: _________________
Patterns with Figures
13. Circle the 17th figure in the pattern.
15.
Look at the pattern below.
o
oo
oo
ooo
ooo
ooo
14. Circle the
11th
shape in the pattern.
How many circles will be in the fifth pattern? ______
Explain. ______________________________
___________________________________
2017 ©Kathleen
& Mande’
Assessment
Name________________
Rules &
Patterns
Extend each pattern to show the next two numbers or figures.
1.
___ ___
2. 24, 27, 30, 33, 36, ___, ___...
3.
___ ___
4. 6, 12, 9, 18, 15, ___, ___...
Create a pattern that follows the given rule.
5. Rule: Subtract 5. Multiply by 2.
Starting term: 14
14, ___, ___, ___, ___, ___, ___,...
6. Rule: Add 7.
Starting term: 25
25, ___, ___, ___, ___,...
7. Rule: Multiply by 3. Add 2.
Starting term: 3
3, ___, ___, ___, ___, ___, ___,...
8. Rule: Multiply by 2.
Starting term: 7
7, ___, ___, ___, ___,...
Complete the pattern. Identify the rule.
9.
2, ___, 8, 16, ___, 64, 128
The pattern is ____________.
10.
8, 13, 18, 23, ___, 33, ___
The pattern is ________.
Identify the rule for each table below. Then, fill in the missing boxes.
IN
IN
3
11.
8
11
17
26
12.
OUT
4
7
21
22
Rule: ________________
OUT
24
5
40
9
64
Rule: ______________
Look at the pattern below to answer questions 13-14.
13.
How many circles will be in the next
figure of the pattern? ______ circles
14.
Explain the rule for the pattern.
_________________________
_________________________
2017 ©Kathleen
& Mande’
Multiple Choice
___ 15. Which set of numbers follows the rule “multiply by 3, subtract 3”?
A. 4, 12, 9, 27, 24, 72...
B. 4, 7, 21, 18, 21, 63, 60...
C. 4, 12, 15, 45, 48, 144...
D. 4, 8, 11, 33, 30, 90, 87...
___ 16.
Look at the pattern below. Which number completes the pattern?
45, 39, 33, 27, 21,...
A. 14
B. 15
C. 16
D. 17
___ 17.
Which figure will be the 23rd figure in the pattern?
A.
B.
C.
D.
___ 18.
What is the rule for the following pattern? 5, 10, 13, 26, 29, 58,...
A. Add 5
B. Multiply by 2
C. Add 5. Add 3.
D. Multiply by 2. Add 3.
___ 19.
Which statement is true about the following pattern? 6, 9, 13, 18, 24, 31,...
A. The rule for the pattern is add 3.
B. The next number in the pattern will be odd.
C. The next number in the pattern will have three digits.
D. The next number in the pattern will have two even digits.
___ 20.
Kyle recorded the number of points he scored at each basketball game. If his
pattern continues, how many points will Kyle score in his next game?
2, 8, 3, 12, 7, 28...
A. 23
B. 24
C. 33
D. 34
___ 21.
Look at the pattern below. Which set of numbers complete the pattern?
13, 25, __, 49, 61, __,... A. 35, 71
B. 35, 73 C. 37, 73 D. 37, 75
___ 22.
Look at the following pattern. 4, 5, 10, 11, 22, 23, 46...
The next term in the pattern will be _____ because _________.
A. even because odd x even = even
B. odd because odd x odd = odd
C. even because even + odd = even
D. odd because even + odd = odd
23.
Regina is making a necklace using beads. She uses the following pattern.
She says the next bead in her pattern will be a heart. Is she correct? ____________
Explain why or why not. ___________________________________________
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Name Answer Key
Review
Rules &
Patterns
Complete the pattern.
1.
4, 8, 16, 32 , 64, 128
2.
6, 11, 16, 21, 26 , 31, 36 .
3.
4.
3, 6, 10, 20, 24 , 48, 52, 104 , 108
65, 54 , 43, 32, 21
5.
______ ______ ______ ______
Extend the pattern. Identify the rule.
6. 3, 10, 17, 24, 31, 38 , 45 ,...
Rule:
Add 7.
Create a pattern.
8. Starting term: 6.
9.
Starting term: 3.
10. Starting term: 5.
7.
2, 6, 18, 54, 162 , 486 ,...
Rule:
Add 3.
Multiply by 4.
Multiply by 2. Add 1.
Multiply by 3.
.
6 , 9 , 12 , 15 , 18 ,...
3 , 12 , 48 , 192 , 768 ,...
5 , 10 , 11 , 22 , 23 ,...
In & Out Tables
Determine the rule for each table. Then, complete each table.
11.
12. In 4
In 5
7 12 14 18
Out 12
Out 13 15 20 22 22
Rule:
Add 8.
Rule:
5
7
9
15 21 27
Multiply by 3.
Patterns with Figures
13. Circle the 17th figure in the pattern.
shape in the pattern.
15.
Look at the pattern below.
o
oo
oo
ooo
ooo
ooo
14. Circle the
11th
11
33
How many circles will be in the fifth pattern? 25 .
Explain. Each figure adds another row and another
column of circles. The 5th figure has 5 rows of 5
circles, so 5 x 5 = 25 circles.
2017 ©Kathleen
& Mande’
Name Answer Key
Name Answer Key
Assessment
___
Rules &
Patterns
Extend each pattern to show the next two numbers or figures.
1.
___ ___
2. 24, 27, 30, 33, 36, 39 , 42 ...
3.
___ ___
4. 6, 12, 9, 18, 15, 30 , 27 ...
Create a pattern that follows the given rule.
5. Rule: Subtract 5. Multiply by 2.
Starting term: 14
14, 9 , 18 , 13 , 26 , 21 , 42 ,...
6. Rule: Add 7.
Starting term: 25
25, 32 , 39 , 46 , 53 ,...
7. Rule: Multiply by 3. Add 2.
Starting term: 3
3, 9 , 11 , 33 , 35 , 105 , 107 ,...
8. Rule: Multiply by 2.
Starting term: 7
7, 14 , 28 , 56 , 112 ,...
Complete the pattern. Identify the rule.
9.
2, 4 , 8, 16, 32 , 64, 128
The pattern is multiply by 2 .
10.
8, 13, 18, 23, 28 , 33, 38 .
The pattern is add 5 .
Identify the rule for each table below. Then, fill in the missing boxes.
IN
IN
3
11.
8
11
17
25 26
12.
OUT
Rule:
4
7
13
21
22
subtract 4
OUT
Rule:
24
5
40
8
64
multiply by 8
9
72
.
Look at the pattern below to answer questions 13-14.
13.
How many circles will be in the next
figure of the pattern? 13 circles
14.
Explain the rule for the pattern.
The pattern adds 3 circles each time:
2 circles to the top, 1 circle to the right
2017 ©Kathleen
& Mande’
Multiple Choice
A 15. Which set of numbers follows the rule “multiply by 3, subtract 3”?
A. 4, 12, 9, 27, 24, 72...
B. 4, 7, 21, 18, 21, 63, 60...
C. 4, 12, 15, 45, 48, 144...
D. 4, 8, 11, 33, 30, 90, 87...
B
16.
Look at the pattern below. Which number completes the pattern?
45, 39, 33, 27, 21,...
A. 14
B. 15
C. 16
D. 17
C
17.
Which figure will be the 23rd figure in the pattern?
A.
B.
C.
D.
D 18.
What is the rule for the following pattern? 5, 10, 13, 26, 29, 58,...
A. Add 5
B. Multiply by 2
C. Add 5. Add 3.
D. Multiply by 2. Add 3.
B
Which statement is true about the following pattern? 6, 9, 13, 18, 24, 31,...
A. The rule for the pattern is add 3.
B. The next number in the pattern will be odd.
C. The next number in the pattern will have three digits.
D. The next number in the pattern will have two even digits.
19.
A 20.
Kyle recorded the number of points he scored at each basketball game. If his
pattern continues, how many points will Kyle score in his next game?
2, 8, 3, 12, 7, 28...
A. 23
B. 24
C. 33
D. 34
C
Look at the pattern below. Which set of numbers complete the pattern?
13, 25, __, 49, 61, __,... A. 35, 71
B. 35, 73 C. 37, 73 D. 37, 75
21.
D 22.
23.
Look at the following pattern. 4, 5, 10, 11, 22, 23, 46...
The next term in the pattern will be _____ because _________.
A. even because odd x even = even
B. odd because odd x odd = odd
C. even because even + odd = even
D. odd because even + odd = odd
Regina is making a necklace using beads. She uses the following pattern.
She says the next bead in her pattern will be a heart. Is she correct? Yes .
Explain why or why not. The pattern is 1 heart, diamond, 2 hearts, diamond, 3 hearts,
diamond, 4 hearts, diamond... Each time the hearts appear, one more is added.