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Grade 4 Challenge: Logic & Reasoning Problems Worksheet with Answers

Grade 4 (US) · Year 5 (UK) · Class 4 (India) · Math

Unit 8: Going FurtherChallenge PuzzlesChallenge

Classic reasoning puzzles — ages, heads and legs, consecutive numbers — that reward careful thinking. This free upper elementary 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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Challenge: Logic & Reasoning Problems

Grade 4 · Math

Score___ / 12

Name

Class

Date

Learning goal: Challenge Puzzles

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

Diego is 7 years older than Maria. Together their ages add up to 25. How old is Maria?

Answer: 9

  1. 1

    A snail climbs 5 feet up a wall each day and slides back 1 foot each night. The wall is 16 feet tall. On which day does it reach the top?

    Show your work
    Answer
  2. 2

    4 people each shake hands once with every other person. How many handshakes are there?

    Show your work
    Answer
  3. 3

    A farm has chickens and cows. There are 13 heads and 42 legs. How many cows are there?

    Show your work
    Answer
  4. 4

    Omar is 6 years older than Sam. Together their ages add up to 30. How old is Sam?

    Show your work
    Answer
  5. 5

    A pen and a notebook cost $14 together. The notebook costs $8 more than the pen. How much does the pen cost?

    Show your work
    Answer
  6. 6

    Three consecutive whole numbers add up to 36. What is the smallest number?

    Show your work
    Answer
  7. 7

    Sam is 7 years older than Priya. Together their ages add up to 25. How old is Priya?

    Show your work
    Answer
  8. 8

    Diego is 2 years older than Omar. Together their ages add up to 12. How old is Omar?

    Show your work
    Answer
  9. 9

    9 people each shake hands once with every other person. How many handshakes are there?

    Show your work
    Answer
  10. 10

    Priya is 7 years older than Zoe. Together their ages add up to 19. How old is Zoe?

    Show your work
    Answer
  11. 11

    A farm has chickens and cows. There are 23 heads and 66 legs. How many cows are there?

    Show your work
    Answer
  12. 12

    10 people each shake hands once with every other person. How many handshakes are there?

    Show your work
    Answer

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/4/challenge_logic

Answer key (click to show)
  1. 1.day 4
  2. 2.6
  3. 3.8
  4. 4.12
  5. 5.$3
  6. 6.11
  7. 7.9
  8. 8.5
  9. 9.36
  10. 10.6
  11. 11.10
  12. 12.45

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How to use this worksheet

  • Use it as a 10–15 minute warm-up or homework task rather than a long drill.
  • Ask students to show their working so you can see where a mistake started, not just that it happened.
  • Mark it with the answer key together, then print a fresh version of the same topic to practise the questions they missed.

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Guides for teaching Challenge: Logic & Reasoning Problems

Long Division Step by Step: An Easy Method (With Remainders)Divide, multiply, subtract, bring down — the four-step routine that makes long division manageable, with worked examples, remainders, zeros and two-digit divisors.What Are the Common Core and NGSS Standards? A Parent's GuideWhat learning standards are, how to read a code like 3.NF.A.1 or MS-PS1-2, what each grade covers in Math, English and Science, and how to use them at home.How to Help Your Child with Math Homework (Without Doing It for Them)Questions to ask instead of answers to give, what to do when the school's method looks different from yours, and how to handle frustration.

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