Here are the rules and missing numbers for each pattern on the worksheet.
Example #1
*
Rule: Add 6 to the previous number.
* (Check: $16 + 6 = 22$, $22 + 6 = 28$, etc.)
*
Next number: $40 + 6 = \mathbf{46}$
Example #2
*
Rule: Multiply the previous number by 2 (or double it).
* (Check: $5 \times 2 = 10$, $10 \times 2 = 20$, etc.)
*
Next number: $80 \times 2 = \mathbf{160}$
Example #3
*
Rule: Subtract 11 from the previous number.
* (Check: $167 - 11 = 156$, $156 - 11 = 145$, etc.)
*
Next number: $123 - 11 = \mathbf{112}$
Example #4
*
Rule: Subtract 2 from the previous number.
* (Check: $83 - 2 = 81$ is not right... wait, $83 - 4 = 79$. Let's check the next step. $79 - ? = 71$. That is a difference of 8. This isn't a simple subtraction. Let me re-read the numbers carefully.
* Ah, looking at Example #4: 83, 79, ___, 71.
* $83 - 79 = 4$.
* If we subtract 4 again: $79 - 4 = 75$.
* Check if the next step works: $75 - 4 = 71$. Yes, it matches the given number 71.
* So the rule is:
Subtract 4.
*
Missing numbers:
* First blank: $79 - 4 = \mathbf{75}$
* Second blank: $71 - 4 = \mathbf{67}$
* Third blank: $67 - 4 = \mathbf{63}$
Example #5
*
Rule: Add 10 to the previous number.
* (Check: $27 + 10 = 37$, but the list says 47? No, $27 + 20 = 47$. Let's check the next one. $47 + 20 = 67$. $67 + 20 = 87$.
* So the rule is:
Add 20.
*
Missing numbers:
* First blank: $87 + 20 = \mathbf{107}$
* Second blank: $107 + 20 = \mathbf{127}$
* Third blank: $127 + 20 = \mathbf{147}$
Example #6
*
Rule: Divide the previous number by 2 (or cut it in half).
* (Check: $800 \div 2 = 400$. The list has a blank there. Then $400 \div 2 = 200$. Then $200 \div 2 = 100$. This fits perfectly.)
* So the rule is:
Divide by 2.
*
Missing numbers:
* First blank (between 800 and 200): $800 \div 2 = \mathbf{400}$
* Second blank (after 100): $100 \div 2 = \mathbf{50}$
* Third blank: $50 \div 2 = \mathbf{25}$
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Final Answer:
Example #1: Rule: Add 6; Next term:
46
Example #2: Rule: Multiply by 2; Next term:
160
Example #3: Rule: Subtract 11; Next term:
112
Example #4: Rule: Subtract 4; Missing terms:
75, 67, 63
Example #5: Rule: Add 20; Missing terms:
107, 127, 147
Example #6: Rule: Divide by 2; Missing terms:
400, 50, 25
Parent Tip: Review the logic above to help your child master the concept of pattern math worksheet grade 4.
