Free Printable WorksheetMathGrade 4Math Curriculum4.108

4.108 Use Logical Reasoning to Find Unknown Numbers Worksheet

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Q: Is this 4.108 Use Logical Reasoning to Find Unknown Numbers worksheet free for teachers and homeschoolers?

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Q: Can students practice 4.108 Use Logical Reasoning to Find Unknown Numbers online with instant feedback?

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Q: What grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 4 Math students. It aligns with educational standard 4.108 (Use Logical Reasoning to Find Unknown Numbers).

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 4 Math worksheet provides structured practice on 4.108 Use Logical Reasoning to Find Unknown Numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given a set of conditions about unknown numbers, select the set of numbers that satisfies all conditions.

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 4

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 4.108 Use Logical Reasoning to Find Unknown Numbers skill assessments:

Problem 1Difficulty: Mastery

A number n is divisible by 9 and is 2 less than a multiple of 8. Also, 150 < n < 200. What is n?

Solution & Explanation:List multiples of 9 between 150 and 200: 162, 171, 180, 189, 198. Check which is 2 less than a multiple of 8: 198 + 2=200, and 200 is divisible by 8. So n=198.

Problem 2Difficulty: Mastery

Which number n satisfies: n is a multiple of 11, n is a multiple of 6, n is between 100 and 150, and n has a digit sum of 6?

A144

B132

C110

D121

Solution & Explanation:A number that is a multiple of both 11 and 6 must be a multiple of 66. Between 100 and 150, the only multiple of 66 is 132. Its digit sum is 1 + 3 + 2=6, so the correct choice is B.

Problem 3Difficulty: Mastery

Three numbers are factors of 180 and add to 31. Two of the numbers are consecutive even numbers. What is the greatest number?

Solution & Explanation:Consecutive even numbers differ by 2. The factor pair 10 and 12 are consecutive even factors of 180. Their sum is 22, so the third number must be 31-22=9, which is also a factor of 180. The greatest of 9, 10, and 12 is 12.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 4.108 Use Logical Reasoning to Find Unknown Numbers worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 4.108 Use Logical Reasoning to Find Unknown Numbers worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 4.108 Use Logical Reasoning to Find Unknown Numbers online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 4.108 Use Logical Reasoning to Find Unknown Numbers interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 4 Math students. It aligns with educational standard 4.108 (Use Logical Reasoning to Find Unknown Numbers).