This Grade 4 worksheet challenges learners to decode two-step rules from input/output tables under CCSS 4.OA.5. Students examine multiple rows, test candidate Grade 4 rules like multiply by 3 plus 1, and apply or reverse rules to find missing values with careful, step-by-step number reasoning. Students use multi-step rules to solve missing-value puzzles, building Grade 4 logical and algebraic reasoning through challenging table problems.
Style:
Patterns and Input/Output Tables
Part A: Multiple Choice
Circle the best answer for each question.
1. If inputs 1, 2, 3 give outputs 5, 9, 13, what Grade 4 rule fits?
A) Multiply by 4 add 1
B) Multiply by 3 add 2
C) Add 4 each time
D) Multiply by 5 minus 1
2. Inputs 2, 3, 4 produce outputs 7, 10, 13. The Grade 4 rule is:
A) Multiply by 2 plus 3
B) Multiply by 3 plus 1
C) Add 5 each time
D) Multiply by 4 minus 3
3. If inputs 0, 1, 2 give outputs 3, 8, 13 in a Grade 4 table, what is the rule?
A) Multiply by 5 plus 3
B) Multiply by 4 plus 4
C) Add 5 each time
D) Multiply by 3 plus 5
4. For Grade 4 inputs 4, 5, 6 with outputs 9, 11, 13, the rule is:
A) Multiply by 2 plus 1
B) Multiply by 3 minus 3
C) Add 5 each time
D) Multiply by 2 minus 1
Part B: Fill in the Blank
Write the correct answer on each line.
1. If the Grade 4 rule is multiply by 4 plus 2 and the input is 6, the output is 26.
2. Inputs 1, 2, 3 give Grade 4 outputs 4, 7, 10, so the rule is multiply by 3 plus 1.
3. If the Grade 4 rule is multiply by 5 minus 3 and the output is 22, the input was 5.
4. Using the Grade 4 rule add 4 then multiply by 2, input 7 gives output 22.
5. If the Grade 4 rule is multiply by 6 plus 1 and the input is 3, the output is 19.
Patterns and Input/Output Tables
★ Part A: Multiple Choice
Circle the best answer for each question.
1. If inputs 1, 2, 3 give outputs 5, 9, 13, what Grade 4 rule fits?
A) Multiply by 4 add 1
B) Multiply by 3 add 2
C) Add 4 each time
D) Multiply by 5 minus 1
2. Inputs 2, 3, 4 produce outputs 7, 10, 13. The Grade 4 rule is:
A) Multiply by 2 plus 3
B) Multiply by 3 plus 1
C) Add 5 each time
D) Multiply by 4 minus 3
3. If inputs 0, 1, 2 give outputs 3, 8, 13 in a Grade 4 table, what is the rule?
A) Multiply by 5 plus 3
B) Multiply by 4 plus 4
C) Add 5 each time
D) Multiply by 3 plus 5
4. For Grade 4 inputs 4, 5, 6 with outputs 9, 11, 13, the rule is:
A) Multiply by 2 plus 1
B) Multiply by 3 minus 3
C) Add 5 each time
D) Multiply by 2 minus 1
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) If the Grade 4 rule is multiply by 4 plus 2 and the input is 6, the output is 26.
2) Inputs 1, 2, 3 give Grade 4 outputs 4, 7, 10, so the rule is multiply by 3 plus 1.
3) If the Grade 4 rule is multiply by 5 minus 3 and the output is 22, the input was 5.
4) Using the Grade 4 rule add 4 then multiply by 2, input 7 gives output 22.
5) If the Grade 4 rule is multiply by 6 plus 1 and the input is 3, the output is 19.
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9 Questions
12-18 minutes
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