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Grade 6 Bar Model Word Problems Worksheet with Answers

Grade 6 (US) · Year 7 (UK) · Class 6 (India) · Math

Unit 6: Going FurtherThinking & Problem SolvingAdvanced

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

Grade 6 · 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

    There are 33 children in a club. 1/3 of them play chess. How many children play chess?

    club33
    Answer
  2. 2

    There are 88 children in a club. 4/8 of them play chess. How many children play chess?

    club88
    Answer
  3. 3

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

    club24
    Answer
  4. 4

    Ava has 6 times as many beads as Noah. Together they have 28. How many does Ava have?

    AvaNoah28
    Answer
  5. 5

    There are 72 children in a club. 1/8 of them play chess. How many children play chess?

    club72
    Answer
  6. 6

    Two numbers add up to 194. One is 26 more than the other. What is the larger number?

    larger?26smaller?194
    Answer
  7. 7

    Two numbers add up to 167. One is 77 more than the other. What is the larger number?

    larger?77smaller?167
    Answer
  8. 8

    There are 80 children in a club. 3/8 of them play chess. How many children play chess?

    club80
    Answer
  9. 9

    There are 12 children in a club. 1/4 of them play chess. How many children play chess?

    club12
    Answer
  10. 10

    There are 30 children in a club. 5/6 of them play chess. How many children play chess?

    club30
    Answer
  11. 11

    Lena has 2 times as many stickers as Noah. Together they have 57. How many does Lena have?

    LenaNoah57
    Answer
  12. 12

    Two numbers add up to 182. One is 60 more than the other. What is the larger number?

    larger?60smaller?182
    Answer

★ Challenge corner for fast finishers

What is the smallest number that leaves a remainder of 1 when divided by 2, 3 or 4, and is divisible by 7?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/6/bar_models

Answer key (click to show)
  1. 1.11
  2. 2.44
  3. 3.8
  4. 4.24
  5. 5.9
  6. 6.110
  7. 7.122
  8. 8.30
  9. 9.3
  10. 10.25
  11. 11.38
  12. 12.121
  13. ★49 (challenge corner)

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Guides for teaching Bar Model Word Problems

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.How to Solve Math Word Problems: A 4-Step MethodRead, plan, solve, check — a simple routine for any word problem, with worked examples and the keyword trap to avoid.

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