6th Grade Math (Math 6) · Chapter 1 · Lesson 1.1 · Printable PDF · Free

Tests for Three and Nine Worksheet with Answer Key

6 problems on the divisibility tests for 3 and 9: using digit sums to find remainders, a stamps word problem, finding a missing digit, checking a division mistake, and a largest-number puzzle. 2 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

6 problems2 pagesanswer keylesson handout
Printable Tests for three and nine worksheet with answer key - 6th Grade Math (Math 6) (Page 1 PDF preview)
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What's on the worksheet

  1. Find each number's digit sum, then its remainders when divided by 9 and by 3.
    4,82763,0187,05195,417300,003
  2. Word problem: use the digit sum to find how many of Mateo's stamps are on the last page.
  3. Jenny's number has digit sum 30: decide divisibility by 3 and 9 and find the remainder.
  4. Find the largest five-digit number divisible by 9 with five different digits, and explain why.
  5. Show that Omar's remainder when dividing 7,426 by 9 is wrong, then correct it.
  6. Find the digit Mia must add to 2,571 to make a five-digit multiple of 9.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Tests for three and nine: the lesson ›