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Grade 7 Challenge: Number Theory Puzzles Worksheet with Answers
Grade 7 (US) · Year 8 (UK) · Class 7 (India) · Math
Unit 7: 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 7 · 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 5?
Answer: 60
- 1
What is the units (ones) digit of 9^44?
Answer - 2
What is the sum of all whole numbers from 1 to 15?
Answer - 3
How many two-digit numbers are divisible by 5?
Answer - 4
How many factors does 48 have?
Answer - 5
How many factors does 96 have?
Answer - 6
What is the sum of all whole numbers from 1 to 11?
Answer - 7
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 - 8
What is the units (ones) digit of 3^28?
Answer - 9
What is the smallest positive whole number divisible by every number from 2 to 7?
Show your workAnswer - 10
What is the units (ones) digit of 7^59?
Answer - 11
What is the sum of all whole numbers from 1 to 35?
Answer - 12
What is the units (ones) digit of 8^42?
Answer
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Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/7/challenge_number_theory
Answer key — Challenge: Number Theory Puzzles (Grade 7)
- 1.1
- 2.120
- 3.18
- 4.10
- 5.12
- 6.66
- 7.25
- 8.1
- 9.420
- 10.3
- 11.630
- 12.4
Answer key (click to show)
- 1.1
- 2.120
- 3.18
- 4.10
- 5.12
- 6.66
- 7.25
- 8.1
- 9.420
- 10.3
- 11.630
- 12.4
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