Generate and Analyze Number Patterns - 4th Grade Math
Card 1 of 20
Identify the missing number: $5, 9, 13, \square, 21$ (rule: add the same number each time).
Identify the missing number: $5, 9, 13, \square, 21$ (rule: add the same number each time).
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$17$. The pattern adds $4$ each time: $5+4=9$, $9+4=13$, $13+4=17$.
$17$. The pattern adds $4$ each time: $5+4=9$, $9+4=13$, $13+4=17$.
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What are the first $5$ terms starting at $3$ with rule “multiply by $2$”?
What are the first $5$ terms starting at $3$ with rule “multiply by $2$”?
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$3, 6, 12, 24, 48$. Start at $3$ and repeatedly multiply by $2$ to get each next term.
$3, 6, 12, 24, 48$. Start at $3$ and repeatedly multiply by $2$ to get each next term.
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Identify the missing number: $2, 6, 18, \square, 162$ (rule: multiply by the same number each time).
Identify the missing number: $2, 6, 18, \square, 162$ (rule: multiply by the same number each time).
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$54$. The pattern multiplies by $3$: $2×3=6$, $6×3=18$, $18×3=54$.
$54$. The pattern multiplies by $3$: $2×3=6$, $6×3=18$, $18×3=54$.
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What is the rule for the pattern $4, 8, 12, 16, 20$?
What is the rule for the pattern $4, 8, 12, 16, 20$?
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Start at $4$; add $4$ each time. Each term increases by $4$: $4, 8, 12, 16, 20$.
Start at $4$; add $4$ each time. Each term increases by $4$: $4, 8, 12, 16, 20$.
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Which option is the next term after $7$ for “Start $1$, add $3$ each time”?
Which option is the next term after $7$ for “Start $1$, add $3$ each time”?
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$10$. Following the pattern: $1, 4, 7, 10$ (adding $3$ each time).
$10$. Following the pattern: $1, 4, 7, 10$ (adding $3$ each time).
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Identify the parity pattern: start at $1$ and add $3$ each time; do terms alternate odd and even?
Identify the parity pattern: start at $1$ and add $3$ each time; do terms alternate odd and even?
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Yes; the terms alternate odd and even. Odd + odd = even, even + odd = odd, creating alternation.
Yes; the terms alternate odd and even. Odd + odd = even, even + odd = odd, creating alternation.
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What are the first $5$ terms starting at $81$ with rule “divide by $3$”?
What are the first $5$ terms starting at $81$ with rule “divide by $3$”?
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$81, 27, 9, 3, 1$. Start at $81$ and repeatedly divide by $3$ to get each next term.
$81, 27, 9, 3, 1$. Start at $81$ and repeatedly divide by $3$ to get each next term.
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Identify the rule that changes $5, 9, 13, 17$ into the next term each time.
Identify the rule that changes $5, 9, 13, 17$ into the next term each time.
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Add $4$ each time. Each term increases by $4$ from the previous term.
Add $4$ each time. Each term increases by $4$ from the previous term.
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What is the rule for the shape pattern: $1$ square, then $2$ squares, then $3$ squares in a row?
What is the rule for the shape pattern: $1$ square, then $2$ squares, then $3$ squares in a row?
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Add $1$ square each step. Each step increases the number of squares by $1$.
Add $1$ square each step. Each step increases the number of squares by $1$.
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What is the number of squares in step $5$ if a shape pattern starts with $2$ squares and adds $3$ squares each step?
What is the number of squares in step $5$ if a shape pattern starts with $2$ squares and adds $3$ squares each step?
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$14$ squares. Start with $2$, add $3$ four times: $2 + 3(4) = 14$.
$14$ squares. Start with $2$, add $3$ four times: $2 + 3(4) = 14$.
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What are the first $4$ terms starting at $20$ with rule “subtract $4$”?
What are the first $4$ terms starting at $20$ with rule “subtract $4$”?
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$20, 16, 12, 8$. Start at $20$ and repeatedly subtract $4$ to get each next term.
$20, 16, 12, 8$. Start at $20$ and repeatedly subtract $4$ to get each next term.
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What are the first $5$ terms starting at $1$ with rule “add $3$”?
What are the first $5$ terms starting at $1$ with rule “add $3$”?
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$1, 4, 7, 10, 13$. Start at $1$ and repeatedly add $3$ to get each next term.
$1, 4, 7, 10, 13$. Start at $1$ and repeatedly add $3$ to get each next term.
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What is the next number in the pattern starting at $2$ with rule “add $5$” after $2, 7, 12$?
What is the next number in the pattern starting at $2$ with rule “add $5$” after $2, 7, 12$?
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$17$. Continue the pattern by adding $5$ to the last term: $12 + 5 = 17$.
$17$. Continue the pattern by adding $5$ to the last term: $12 + 5 = 17$.
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Identify the rule that changes $2, 6, 18, 54$ into the next term each time.
Identify the rule that changes $2, 6, 18, 54$ into the next term each time.
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Multiply by $3$ each time. Each term is $3$ times the previous term.
Multiply by $3$ each time. Each term is $3$ times the previous term.
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Identify the rule that changes $100, 50, 25, 12.5$ into the next term each time.
Identify the rule that changes $100, 50, 25, 12.5$ into the next term each time.
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Divide by $2$ each time. Each term is half of the previous term.
Divide by $2$ each time. Each term is half of the previous term.
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What is the missing term in $4, 7, _, 13$ if the rule is “add $3$”?
What is the missing term in $4, 7, _, 13$ if the rule is “add $3$”?
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$10$. Apply the rule: $7 + 3 = 10$.
$10$. Apply the rule: $7 + 3 = 10$.
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What is the missing term in $81, 27, _, 3$ if the rule is “divide by $3$”?
What is the missing term in $81, 27, _, 3$ if the rule is “divide by $3$”?
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$9$. Apply the rule: $27 ÷ 3 = 9$.
$9$. Apply the rule: $27 ÷ 3 = 9$.
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What is the odd/even pattern feature for starting at $7$ with rule “add $4$”?
What is the odd/even pattern feature for starting at $7$ with rule “add $4$”?
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All terms are odd. Odd start plus even rule keeps all terms odd.
All terms are odd. Odd start plus even rule keeps all terms odd.
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Identify the feature not in the rule: start $5$, rule “multiply by $10$”; $5, 50, 500$ all end with what digit?
Identify the feature not in the rule: start $5$, rule “multiply by $10$”; $5, 50, 500$ all end with what digit?
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They all end with $0$ (after the first term). Multiplying by $10$ adds a zero to the end of each term.
They all end with $0$ (after the first term). Multiplying by $10$ adds a zero to the end of each term.
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What is the next term after $12$ if the rule is “add $3$” and the start was $1$?
What is the next term after $12$ if the rule is “add $3$” and the start was $1$?
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$15$. Continue the pattern: $12 + 3 = 15$.
$15$. Continue the pattern: $12 + 3 = 15$.
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