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Features

  • Forms A and B ask the same questions with different numbers
  • Write a fraction in simplest form with the greatest common factor
  • Rename two fractions with the least common denominator, and compare them
  • Add on fraction strips, then add and subtract fractions with unlike denominators
  • Add mixed numbers, and subtract them by trading 1 whole
  • Estimate with 0, one half and 1, and solve a one-step and a two-step story
  • The last question (prime numbers and a factor tree) is for the states that teach it in 5th grade
  • Answer keys name the lesson and skill of every question

Skills Covered

  • Simplest form with the greatest common factor
  • Renaming and comparing with the least common denominator
  • Adding fractions with unlike denominators
  • Subtracting fractions with unlike denominators
  • Adding mixed numbers
  • Subtracting mixed numbers, trading 1 whole
  • Estimating with 0, one half and 1
  • Story problems in one and two steps
  • Prime numbers and factor trees (some states)

How to Use This Pack

The unit test on adding and subtracting fractions with unlike denominators. 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 11 questions, one point each, and a Score line on its first page. Every fraction added or subtracted has a denominator of 2, 3, 4, 5, 6, 8, 10 or 12, and no common denominator is over 60. Questions 1 to 10 cover the Common Core lessons; question 11 (prime numbers and a factor tree, in two parts) is for the states that teach it in 5th grade, so a class that skips that lesson can stop at question 10 and score out of 10. 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 2 renames both fractions with the least common denominator before comparing; the two fractions are close, so a guess by benchmarks will not do. Questions 4 to 7 ask for answers in simplest form: on Form A a student who stops at 5/10 in question 4 or 3 3/12 in question 6 has the adding right and the last step to practice. Where an answer is a mixed number, a fraction greater than 1 in lowest terms is right too, as the keys show. Question 8 shows two answers to judge with 0, one half and 1: the right one is near the estimate, the wrong one is far from it. 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 to add 1/2 + 1/3 out loud: why sixths, how many sixths each fraction is, and the sum.

Tips for Success

  • List multiples of the larger denominator to find the least common denominator
  • Rename both fractions, then add or subtract the numerators
  • Add or subtract mixed numbers whole numbers and parts apart
  • Trade 1 whole for parts when the top fraction is too small
  • 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:

  • 4.OA.B.4 For numbers 1 to 100, list factor pairs, spot multiples of one-digit numbers, and sort numbers into prime and composite.
  • 4.NF.A.2 Compare fractions with different numerators and denominators using common denominators or numerators, or a benchmark like 1/2; record with >, = or < and explain.
  • 5.NF.A.1 Add and subtract fractions and mixed numbers with unlike denominators by rewriting them as equivalent fractions with a common denominator.
  • 5.NF.A.2 Solve story problems that add or subtract fractions of one whole, unlike denominators included, and check that answers make sense with benchmark fractions and estimating.
  • 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.MD.B.2 Make a line plot of measurements in halves, quarters and eighths, and solve problems from it with fraction operations, like sharing a total equally.

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

5th Grade Adding and Subtracting Fractions Test

5th Grade

The unit test on adding and subtracting fractions and mixed numbers with unlike denominators, in two forms. Students simplify with the greatest common factor, rename and compare with the least common denominator, add and subtract fractions and mixed numbers, estimate with benchmarks and solve story problems.

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What’s Included

  • The unit test in two forms, A and B (11 questions each)
  • Answer keys that name each question's lesson and skill (8 pages in all)
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