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Grade 6 Challenge: Number Theory Puzzles Worksheet with Answers
Grade 6 (US) · Year 7 (UK) · Class 6 (India) · Math
Unit 6: Going FurtherChallenge PuzzlesChallenge
Puzzles about divisibility, remainders, factors and units digits that reward spotting patterns. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.
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Practice Sheetaethelsystems.comChallenge: Number Theory Puzzles
Grade 6 · Math
Name
Class
Date
Learning goal: Challenge Puzzles
Directions: Solve each problem. Show your work, then write your answer in the box.
What is the smallest positive whole number divisible by every number from 2 to 7?
Answer: 420
- 1
What is the units (ones) digit of 3^43?
Answer - 2
What is the sum of all whole numbers from 1 to 36?
Answer - 3
What is the units (ones) digit of 3^22?
Answer - 4
What is the units (ones) digit of 3^51?
Answer - 5
How many two-digit numbers are divisible by 9?
Answer - 6
What is the smallest positive whole number divisible by every number from 2 to 4?
Show your workAnswer - 7
What is the smallest number that leaves a remainder of 1 when divided by 2, 3 or 4, and is divisible by 7?
Show your workAnswer - 8
What is the sum of all whole numbers from 1 to 22?
Answer - 9
What is the sum of all whole numbers from 1 to 23?
Answer - 10
What is the smallest number that leaves a remainder of 1 when divided by 2, 3 or 4, and is divisible by 5?
Show your workAnswer - 11
How many factors does 48 have?
Answer - 12
How many factors does 84 have?
Answer
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Teacher's comments
Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/6/challenge_number_theory
Answer key — Challenge: Number Theory Puzzles (Grade 6)
- 1.7
- 2.666
- 3.9
- 4.7
- 5.10
- 6.12
- 7.49
- 8.253
- 9.276
- 10.25
- 11.10
- 12.12
Answer key (click to show)
- 1.7
- 2.666
- 3.9
- 4.7
- 5.10
- 6.12
- 7.49
- 8.253
- 9.276
- 10.25
- 11.10
- 12.12
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