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Worksheet7th GradeLevel 3 · Challenge

Free 7th Grade Divisibility Rules Worksheet — Level 3

Use divisibility tests for 2, 3, 4, 5, 6, 8, 9 and 10 to decide whether a number divides exactly, without doing the division. A challenge set for students ready to stretch further. This 7th Grade worksheet has 12 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Grade
7th Grade
Subject
Math
Topic
Factors, Multiples & Primes
Difficulty
Level 3 · Challenge
Estimated time
10 minutes
Curriculum
Texas grade levels (TEKS)
Questions
12
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practice

  • using divisibility rules
  • using digit sums to test for 3 and 9
  • testing for 4, 6 and 8

Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: 7th Grade Divisibility Rules Worksheet — Level 3

  1. 17th Grade Simplifying Fractions Worksheet — Level 1
  2. 27th Grade Simplifying Fractions Worksheet — Level 2
  3. 37th Grade Simplifying Fractions Worksheet — Level 3

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

7th Grade students (typically ages 12–13) working on factors, multiples & primes. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 10 minutes for 12 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try 7th Grade Simplifying Fractions Worksheet — Level 1.

Preview

Success TutoringWorksheets7th Grade · Mathematics · Factors, Multiples & Primes

7th Grade Divisibility Rules Worksheet — Level 3

Name

Date

Score /

Use the divisibility rules. For 3 and 9 add the digits; for 4 and 8 look at the last two or three digits.

1.22,497 is divisible by 4. ☐ True   ☐ False
2.Which number is divisible by 6?
  1. A34,494
  2. B24,995
  3. C36,100
  4. D79,099
3.Find the missing digit so that 479 (answer space)4 is divisible by 9.
4.43,770 is divisible by 6. ☐ True   ☐ False
5.Which number is divisible by 3?
  1. A55,573
  2. B22,373
  3. C24,863
  4. D4,464
6.Find the missing digit so that 39 (answer space)63 is divisible by 9.
7.36,396 is divisible by 8. ☐ True   ☐ False
8.Which number is divisible by 9?
  1. A38,670
  2. B57,357
  3. C29,732
  4. D13,449
9.Find the missing digit so that 605 (answer space)9 is divisible by 9.
10.35,513 is divisible by 6. ☐ True   ☐ False
11.Which number is divisible by 4?
  1. A61,688
  2. B18,214
  3. C32,638
  4. D46,918
12.Find the missing digit so that 6739 (answer space) is divisible by 9.
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

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Factors, Multiples & Primes in other year levels

About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.