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Grade 3 Bar Model Word Problems Worksheet with Answers

Grade 3 (US) · Year 4 (UK) · Class 3 (India) · Math

Unit 6: 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 3 · 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

    Sam has 152 shells. 73 of them are new and the rest are old. How many are old?

    Sam73?152
    Answer
  2. 2

    Leo has 95 marbles. Zoe has 16 more than Leo. How many do they have altogether?

    Leo95Zoe9516?
    Answer
  3. 3

    Ava has 83 marbles. Leo has 16 more than Ava. How many do they have altogether?

    Ava83Leo8316?
    Answer
  4. 4

    Aisha has 2 times as many beads as Zoe. Together they have 27. How many does Aisha have?

    AishaZoe27
    Answer
  5. 5

    Ravi has 2 times as many cards as Zoe. Together they have 36. How many does Ravi have?

    RaviZoe36
    Answer
  6. 6

    Leo has 108 shells. Aisha has 27 more than Leo. How many do they have altogether?

    Leo108Aisha10827?
    Answer
  7. 7

    Zoe has 3 times as many cards as Noah. Together they have 32. How many does Zoe have?

    ZoeNoah32
    Answer
  8. 8

    Omar has 2 times as many shells as Mia. Together they have 33. How many does Omar have?

    OmarMia33
    Answer
  9. 9

    Mia has 94 beads. Ravi has 42 more than Mia. How many do they have altogether?

    Mia94Ravi9442?
    Answer
  10. 10

    Aisha has 125 stamps. 53 of them are new and the rest are old. How many are old?

    Aisha53?125
    Answer
  11. 11

    Leo has 66 cards. Lena has 34 more than Leo. How many do they have altogether?

    Leo66Lena6634?
    Answer
  12. 12

    Lena has 3 times as many marbles as Leo. Together they have 20. How many does Lena have?

    LenaLeo20
    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 9, 9, 3. What number goes in the top brick?

993?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/3/bar_models

Answer key (click to show)
  1. 1.79
  2. 2.206
  3. 3.182
  4. 4.18
  5. 5.24
  6. 6.243
  7. 7.24
  8. 8.22
  9. 9.230
  10. 10.72
  11. 11.166
  12. 12.15
  13. ★30 (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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