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Grade 4 Bar Model Word Problems Worksheet with Answers

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

Unit 8: 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 4 · 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

    Ava has 58 cards. Ravi has 13 more than Ava. How many do they have altogether?

    Ava58Ravi5813?
    Answer
  2. 2

    Mia has 52 beads. Ravi has 6 more than Mia. How many do they have altogether?

    Mia52Ravi526?
    Answer
  3. 3

    Zoe has 74 stamps. Omar has 13 more than Zoe. How many do they have altogether?

    Zoe74Omar7413?
    Answer
  4. 4

    Noah has 6 times as many stamps as Mia. Together they have 49. How many does Noah have?

    NoahMia49
    Answer
  5. 5

    There are 60 children in a club. 3/6 of them play chess. How many children play chess?

    club60
    Answer
  6. 6

    Aisha has 41 shells. Ava has 27 more than Aisha. How many do they have altogether?

    Aisha41Ava4127?
    Answer
  7. 7

    There are 48 children in a club. 1/6 of them play chess. How many children play chess?

    club48
    Answer
  8. 8

    Zoe has 27 shells. Ava has 42 more than Zoe. How many do they have altogether?

    Zoe27Ava2742?
    Answer
  9. 9

    Aisha has 6 times as many stamps as Zoe. Together they have 42. How many does Aisha have?

    AishaZoe42
    Answer
  10. 10

    Lena has 3 times as many shells as Sam. Together they have 20. How many does Lena have?

    LenaSam20
    Answer
  11. 11

    Zoe has 3 times as many stamps as Aisha. Together they have 48. How many does Zoe have?

    ZoeAisha48
    Answer
  12. 12

    There are 40 children in a club. 4/5 of them play chess. How many children play chess?

    club40
    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 1, 20, 14, 8. What number goes in the top brick?

120148?

How did I do?

Teacher's comments

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

Answer key (click to show)
  1. 1.129
  2. 2.110
  3. 3.161
  4. 4.42
  5. 5.30
  6. 6.109
  7. 7.8
  8. 8.96
  9. 9.36
  10. 10.15
  11. 11.36
  12. 12.32
  13. ★111 (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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