Free Printable WorksheetMathGrade 5Math Curriculum5.OA.B.3

5.76 Generate Numerical Patterns from Two Rules Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.76 Generate Numerical Patterns from Two Rules. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct missing terms in two number patterns given two rules and identify a relationship between corresponding terms. Select the option that matches the expression, equation, or pattern rule and correctly interprets the variable. Corresponding standards: CCSS 5.OA.B.3.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 5

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 5.76 Generate Numerical Patterns from Two Rules skill assessments:

Problem 1Difficulty: Mastery

Pattern A starts at 10 and adds 2. Pattern B starts at 15 and adds 6. Table: Step: 1, 2, 3, 4, 5, 6; Pattern A: 10, 12, 14, ?, 18, 20; Pattern B: 15, 21, 27, ?, 39, 45. Which option fills the blank step and describes the relationship using n for the step number?

AA step 4 = 18, B step 4 = 39; at step n, B is 4 × n + 1 more than A.

BA step 4 = 16, B step 4 = 33; B is always 5 more than A.

CA step 4 = 33, B step 4 = 16; at step n, B is 4 × n + 1 more than A.

DA step 4 = 16, B step 4 = 33; at step n, B is 4 × n + 1 more than A.

Solution & Explanation:The step 4 values are A = 16 and B = 33. The differences B − A are [5, 9, 13, 17, 21, 25]. Since the difference changes by 4 each step, the difference at step n is 4 × n + 1.

Problem 2Difficulty: Mastery

Pattern A starts at 4 and adds 7. Pattern B starts at 6 and adds 11. Table: Step: 1, 2, 3, 4, 5, 6; Pattern A: 4, 11, 18, 25, 32, ?; Pattern B: 6, 17, 28, 39, 50, ?. Which option fills the blank step and describes the relationship using n for the step number?

AA step 6 = 46, B step 6 = 72; at step n, B is 4 × n − 2 more than A.

BA step 6 = 39, B step 6 = 61; B is always 2 more than A.

CA step 6 = 39, B step 6 = 61; at step n, B is 4 × n − 2 more than A.

DA step 6 = 61, B step 6 = 39; at step n, B is 4 × n − 2 more than A.

Solution & Explanation:The step 6 values are A = 39 and B = 61. The differences B − A are [2, 6, 10, 14, 18, 22]. Since the difference changes by 4 each step, the difference at step n is 4 × n − 2.

Problem 3Difficulty: Mastery

Pattern A starts at 5 and adds 3. Pattern B starts at 12 and adds 8. Table: Step: 1, 2, 3, 4, 5, 6; Pattern A: 5, 8, 11, 14, ?, 20; Pattern B: 12, 20, 28, 36, ?, 52. Which option fills the blank step and describes the relationship using n for the step number?

AA step 5 = 20, B step 5 = 52; at step n, B is 5 × n + 2 more than A.

BA step 5 = 17, B step 5 = 44; at step n, B is 5 × n + 2 more than A.

CA step 5 = 17, B step 5 = 44; B is always 7 more than A.

DA step 5 = 44, B step 5 = 17; at step n, B is 5 × n + 2 more than A.

Solution & Explanation:The step 5 values are A = 17 and B = 44. The differences B − A are [7, 12, 17, 22, 27, 32]. Since the difference changes by 5 each step, the difference at step n is 5 × n + 2.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 5 Math students. It aligns with educational standard 5.OA.B.3 (Primary standard selected for prompt fields in this prompt cell: CCSS 5.OA.B.3. Skill statement in this prompt cell: Select the correct missing terms in two number patterns given two rules and identify a relationship between corresponding terms. Select the option that matches the expression, equation, or pattern rule and correctly interprets the variable. Associated standards listed with this skill in this prompt cell: CCSS 5.OA.B.3. Use this prompt-provided wording as the supporting standard description for this workflow.).