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Features

  • Forms A and B ask the same questions with different numbers
  • Write a sharing story as a division, and divisions as fractions
  • Find a fraction of a whole number on a tape diagram and by multiplying
  • Read and shade area models, and multiply fractions in simplest form
  • Find the area of a rectangle tiled with unit-fraction squares, and of one with mixed-number sides
  • Multiply mixed numbers, compare products without multiplying, and solve two story problems
  • Answer keys name the lesson and skill of every question

Skills Covered

  • A fraction is a division
  • A fraction of a whole number
  • A fraction of a fraction on an area model
  • Multiplying fractions in simplest form
  • Area with fraction side lengths
  • Multiplying mixed numbers
  • Multiplying as scaling
  • Fraction multiplication stories

How to Use This Pack

The unit test on multiplying fractions. Pages 1 and 2 are Form A. Pages 3 and 4 are Form B: the same questions in the same order with different numbers, for a retake, a make-up or a second seating. Each form has 13 questions, one point each, and a Score line on its first page. Every factor has a denominator of 2, 3, 4, 5, 6, 8, 10 or 12. Questions 4, 6, 7, 9, 10, 12 and 13 ask for simplest form and say so; where an answer is a mixed number, a fraction greater than 1 in lowest terms is right too, and the key gives both. The pre-check and the unit review are packs of their own.

In the Classroom

Give Form A the day after the unit review. Question 1 asks for the division first: 4 friends sharing 9 pizzas is 9 ÷ 4, not 4 ÷ 9, and the answer is more than 1 pizza. On question 5 any equation that names the model's columns and rows is right, in either order, and on question 6 any shading of the right parts is right, as the keys say. Question 11 asks for >, < or = without multiplying: a student who multiplies and compares has the right sign but not the idea, so ask for the reason. No question asks a problem from the unit's exit tickets or the practice sheets its lessons use. The answer keys name each question's skill, so a missed question points to the lesson to reteach.

At Home

Use Form B as a check after the unit. Ask your child whether 11/12 of 24 is more or less than 24, and how they can tell without multiplying.

Tips for Success

  • A fraction is a division: 3/4 is 3 ÷ 4
  • Multiply numerators, multiply denominators, then simplify
  • Write mixed numbers as fractions before multiplying
  • Multiplying by a fraction less than 1 makes a smaller product
  • Use Form B as a retake after reteaching what was missed

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 5.NF.B.3 Understand a fraction as division, such as 2/5 = 2 ÷ 5, and solve sharing story problems with fraction or mixed-number answers.
  • 5.NF.B.4a Multiply a whole number or fraction by a fraction, seeing (3/4) × 2 as 3 of the 4 equal parts of 2, using models.
  • 5.NF.B.4b Tile a rectangle with fraction side lengths using squares whose sides are unit fractions, and see the area equals the two sides multiplied.
  • 5.NF.B.5a Without multiplying, tell how the size of a product compares to one factor by looking at the size of the other factor.
  • 5.NF.B.5b Explain why multiplying by a fraction above 1 makes a number bigger and below 1 makes it smaller; see equivalent fractions as multiplying by 1.
  • 5.NF.B.6 Solve real-life problems that multiply fractions and mixed numbers, using fraction models or equations.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

5th Grade Multiplying Fractions Test

5th Grade

The unit test on multiplying fractions, in two forms. Students write sharing as division, find a fraction of a whole number and of a fraction, multiply fractions and mixed numbers, find areas with fraction sides, compare products without multiplying and solve story problems.

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What’s Included

  • The unit test in two forms, A and B (13 questions each)
  • Answer keys that name each question's lesson and skill (8 pages in all)
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