Word problems practice

Mixed multiplication and division word problems

Decide between multiplication and division in ten equal-group, sharing and rate stories. Each set includes five of each operation, with wording and extra-data options.

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Read the story, identify the requested quantity and show your reasoning. Include the correct unit in your answer.

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Read, model, calculate, check

Ask learners to identify what is known and what the question asks. A drawing, timeline or equation can make the relationship visible before they calculate. Check the answer against the original story and keep its unit.

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Learning objective

What this activity builds

Use the known and unknown quantities in an equal-group relationship to choose an operation.

Worked example

Six trays hold 8 rolls each. How many rolls are there? If 48 rolls go equally onto 6 trays, how many are on each tray?

6 × 8 = 48 rolls; 48 ÷ 6 = 8 rolls per tray.

The underlying relationship stays the same. The question changes which quantity is unknown.

Teaching notes

Make the practice count

  • Use one bar model to write both a multiplication and a division story.
  • Label all three quantities before calculating.
  • Check answers with the inverse operation.

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Configured PDF · Multiplication and Division Word Problems · US Letter

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Math SheetNameScore/ 10TeacherDateMultiplication and Division Word ProblemsRead each story carefully. Use the relevant facts to find the requested quantity.1. There are 8 equal groups with 11 notebooks in each group. How many notebooks are there altogether?2. A machine makes 5 seats each hour for 8 hours. How many seats does it make?3. A machine makes 54 meters in 6 hours. What is the rate per hour?4. Each case contains 4 tokens. How many tokens are in 9 cases?5. A collection is worth 400 cents. How many whole dollars is that?6. There are 9 equal groups with 7 notebooks in each group. How many notebooks are there altogether?7. How many groups of 5 seats can be made from 25 seats?math-sheet.comPage 1 / 2
Math SheetNameScore/ 10TeacherDateMultiplication and Division Word ProblemsRead each story carefully. Use the relevant facts to find the requested quantity.8. One route is 6 meters long. Another is 4 times as long. How long is the second route?9. A longer route is 25 meters, which is 5 times a shorter route. How long is the shorter route?10. A collection is worth 800 cents. How many whole dollars is that?math-sheet.comPage 2 / 2

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