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Grade 5 Bar Model Word Problems Worksheet with Answers

Grade 5 (US) · Year 6 (UK) · Class 5 (India) · Math

Unit 7: Going FurtherThinking & Problem SolvingAdvanced

Drawing and using bar models (tape diagrams) to plan and solve word problems. 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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Bar Model Word Problems

Grade 5 · Math

Score___ / 12

Name

Class

Date

Learning goal: Thinking & Problem Solving

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

RememberSolving word problems

ReadtwiceFindwhat is askedDrawa bar modelSolve+ − × ÷Checkdoes it make sense?
  1. 1

    Two numbers add up to 138. One is 44 more than the other. What is the larger number?

    larger?44smaller?138
    Answer
  2. 2

    Mia has 6 times as many cards as Ravi. Together they have 196. How many does Mia have?

    MiaRavi196
    Answer
  3. 3

    There are 12 children in a club. 2/4 of them play chess. How many children play chess?

    club12
    Answer
  4. 4

    Two numbers add up to 248. One is 30 more than the other. What is the larger number?

    larger?30smaller?248
    Answer
  5. 5

    There are 24 children in a club. 1/3 of them play chess. How many children play chess?

    club24
    Answer
  6. 6

    There are 48 children in a club. 2/4 of them play chess. How many children play chess?

    club48
    Answer
  7. 7

    There are 45 children in a club. 2/5 of them play chess. How many children play chess?

    club45
    Answer
  8. 8

    There are 18 children in a club. 4/6 of them play chess. How many children play chess?

    club18
    Answer
  9. 9

    Two numbers add up to 91. One is 37 more than the other. What is the larger number?

    larger?37smaller?91
    Answer
  10. 10

    There are 18 children in a club. 1/3 of them play chess. How many children play chess?

    club18
    Answer
  11. 11

    There are 24 children in a club. 2/4 of them play chess. How many children play chess?

    club24
    Answer
  12. 12

    Two numbers add up to 89. One is 39 more than the other. What is the larger number?

    larger?39smaller?89
    Answer

★ Challenge corner for fast finishers

In a number pyramid each brick is the sum of the two bricks below it. The bottom row is 24, 40, ?, 22 and the top brick is 193. What is the missing number?

2440?22193

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/5/bar_models

Answer key (click to show)
  1. 1.91
  2. 2.168
  3. 3.6
  4. 4.139
  5. 5.8
  6. 6.24
  7. 7.18
  8. 8.12
  9. 9.64
  10. 10.6
  11. 11.12
  12. 12.64
  13. ★9 (challenge corner)

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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 Bar Model Word 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.Order of Operations (PEMDAS / BODMAS): Rules, Examples and Common MistakesWhy multiplication doesn't always come before division, how exponents and negatives trip students up, and worked examples you can check.Adding and Subtracting Fractions: A Step-by-Step Guide for Grades 5–6Like and unlike denominators, mixed numbers, and the three mistakes that cause most wrong answers — with worked examples.

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