Common Core: 4th Grade Math : Generate and analyze patterns

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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Example Questions

Example Question #1 : Generate And Identify A Number Or Shape Pattern That Follows A Given Rule: Ccss.Math.Content.4.Oa.C.5

Which sequence below follows the rule of adding \(\displaystyle 10?\)

Possible Answers:

\(\displaystyle 10,20,25\)

\(\displaystyle 10,15,20\)

\(\displaystyle 1,11,20\)

\(\displaystyle 0,10,12\)

\(\displaystyle 34,44,54\)

Correct answer:

\(\displaystyle 34,44,54\)

Explanation:

The only sequence from above that adds \(\displaystyle 10\) each time is \(\displaystyle 34,44,54\)

\(\displaystyle 34+10=44\)

\(\displaystyle 44+10=54\)

Example Question #2 : Generate And Analyze Patterns

Which sequence below follows the rule of adding \(\displaystyle 8?\)

 

Possible Answers:

\(\displaystyle 8,16,24\)

\(\displaystyle 8,12,16\)

\(\displaystyle 3,6,9\)

\(\displaystyle 5,8,10\)

\(\displaystyle 12,17,22\)

Correct answer:

\(\displaystyle 8,16,24\)

Explanation:

The only sequence from above that adds \(\displaystyle 8\) each time is \(\displaystyle 8,16,24\)

\(\displaystyle 8+8=16\)

\(\displaystyle 16+8=24\)

Example Question #3 : Generate And Analyze Patterns

Which sequence below follows the rule of adding \(\displaystyle 12?\)

 

Possible Answers:

\(\displaystyle 12,22,32\)

\(\displaystyle 34,46,58\)

\(\displaystyle 0,12,14\)

\(\displaystyle 24,48,72\)

\(\displaystyle 12,26,40\)

Correct answer:

\(\displaystyle 34,46,58\)

Explanation:

The only sequence from above that adds \(\displaystyle 12\) each time is \(\displaystyle 34,46,58\)

\(\displaystyle 34+12=46\)

\(\displaystyle 46+12=58\)

Example Question #191 : Common Core Math: Grade 4

Which sequence below follows the rule of adding \(\displaystyle 3?\)

 

Possible Answers:

\(\displaystyle 1,3,5\)

\(\displaystyle 6,7,8\)

\(\displaystyle 9,11,13\)

\(\displaystyle 3,6,9\)

\(\displaystyle 3,9,12\)

Correct answer:

\(\displaystyle 3,6,9\)

Explanation:

The only sequence from above that adds \(\displaystyle 2\) each time is \(\displaystyle 3,6,9\)

\(\displaystyle 3+3=6\)

\(\displaystyle 6+3=9\)

Example Question #1 : Generate And Analyze Patterns

Which sequence below follows the rule of adding \(\displaystyle 2?\)

 

Possible Answers:

\(\displaystyle 21,23,25\)

\(\displaystyle 2,6,10\)

\(\displaystyle 6,10,14\)

\(\displaystyle 16,17,18\)

\(\displaystyle 10,14,18\)

Correct answer:

\(\displaystyle 21,23,25\)

Explanation:

The only sequence from above that adds \(\displaystyle 2\) each time is \(\displaystyle 21,23,25\)

\(\displaystyle 21+2=23\)

\(\displaystyle 23+2=25\)

Example Question #5 : Generate And Identify A Number Or Shape Pattern That Follows A Given Rule: Ccss.Math.Content.4.Oa.C.5

Which sequence below follows the rule of adding \(\displaystyle 5?\)

 

Possible Answers:

\(\displaystyle 5,7,9\)

\(\displaystyle 10,20,30\)

\(\displaystyle 25,35,45\)

\(\displaystyle 5,10,20\)

\(\displaystyle 23, 28, 33\)

Correct answer:

\(\displaystyle 23, 28, 33\)

Explanation:

The only sequence from above that adds \(\displaystyle 5\) each time is \(\displaystyle 23, 28, 33\)

\(\displaystyle 23+5=28\)

\(\displaystyle 28+5=33\)

Example Question #192 : Common Core Math: Grade 4

Which sequence below follows the rule of adding \(\displaystyle 6?\)

 

Possible Answers:

\(\displaystyle 14, 20, 26\)

\(\displaystyle 33,36,39\)

\(\displaystyle 19,24,29\)

\(\displaystyle 17,22,27\)

\(\displaystyle 6,18,30\)

Correct answer:

\(\displaystyle 14, 20, 26\)

Explanation:

The only sequence from above that adds \(\displaystyle 6\) each time is \(\displaystyle 14, 20, 26\)

\(\displaystyle 14+6=20\)

\(\displaystyle 20+6=26\)

Example Question #7 : Generate And Analyze Patterns

Which sequence below follows the rule of adding \(\displaystyle 11?\)

 

Possible Answers:

\(\displaystyle 11,22,33\)

\(\displaystyle 21,31,41\)

\(\displaystyle 42,52,62\)

\(\displaystyle 13,19, 25\)

\(\displaystyle 6,18,21\)

Correct answer:

\(\displaystyle 11,22,33\)

Explanation:

The only sequence from above that adds \(\displaystyle 11\) each time is \(\displaystyle 11,22,33\)

\(\displaystyle 11+11=22\)

\(\displaystyle 22+11=33\)

Example Question #8 : Generate And Analyze Patterns

Which sequence below follows the rule of adding \(\displaystyle 20?\)

 

Possible Answers:

\(\displaystyle 10,20,30\)

\(\displaystyle 20,40,60\)

\(\displaystyle 20,40,50\)

\(\displaystyle 2,4,6\)

\(\displaystyle 20,30,40\)

Correct answer:

\(\displaystyle 20,40,60\)

Explanation:

The only sequence from above that adds \(\displaystyle 20\) each time is \(\displaystyle 20,40,60\)

\(\displaystyle 20+20=40\)

\(\displaystyle 40+20=60\)

Example Question #10 : Generate And Analyze Patterns

Which sequence below follows the rule of multiplying \(\displaystyle 4?\)

 

Possible Answers:

\(\displaystyle 2,4,6\)

\(\displaystyle 12,24,36\)

\(\displaystyle 9,18,36\)

\(\displaystyle 4,8,12\)

\(\displaystyle 4,16,64\)

Correct answer:

\(\displaystyle 4,16,64\)

Explanation:

The only sequence from above that multiplies \(\displaystyle 4\) each time is \(\displaystyle 4,16,64\)

\(\displaystyle 4\times4=16\)

\(\displaystyle 16\times4=64\)

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