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Features

  • Forms A and B ask the same questions with different numbers
  • Follow a pattern of zeros to divide by multiples of 10, and find a missing dividend or divisor
  • Estimate with compatible numbers, and decide whether an answer is reasonable
  • Divide with an area model and with partial quotients
  • Long division with 2-digit divisors: fix a tried digit, and write zeros in the quotient
  • Answer two questions on one remainder story, and solve a two-step division story
  • The last question (a remainder as a fraction or in dollars and cents, whichever fits) is for the states that teach it in 5th grade
  • Answer keys name the lesson and skill of every question

Skills Covered

  • Divide by multiples of 10 with a fact
  • Estimate with compatible numbers
  • Divide with an area model
  • Partial quotients
  • Long division with 2-digit divisors
  • Fix a digit that is too big or too small
  • Five-digit dividends and zeros in the quotient
  • What the remainder means
  • Two-step division stories
  • A remainder as a fraction or a decimal (some states)

How to Use This Pack

The unit test for the fourth unit of 5th grade, dividing whole numbers by 2-digit numbers. 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 12 questions, one point each, and a Score line on its first page. Question 12 (a remainder as a fraction or a decimal) is for the states that teach it in 5th grade. The pre-check and the unit review are packs of their own.

In the Classroom

Give Form A the day after the unit review. Questions 1, 2, 3 and 12 hold more than one problem, and questions 4, 7 and 10 ask for more than one answer: give the point when all are right, or score them by the part if you like. The keys show one way to estimate, to choose partial quotients and to work the two-step story; other ways that reach the same answer are right too. Question 12 leaves the form to the student: the key names the form that fits each story. Question 12 is taught in 5th grade in some states: leave it out if your class does not learn it and score out of 11. No question asks a problem from the unit's exit tickets or the practice sheets. 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 estimate first with numbers that divide easily, then divide and see whether the answer is close to the estimate.

Tips for Success

  • Think of 4,800 ÷ 60 as 480 tens ÷ 6 tens, or 48 ÷ 6 with a zero after it
  • Round the divisor to the nearest ten to try each digit, then multiply back to check it
  • Write a 0 in the quotient when the divisor does not go into the part you brought down
  • Read what the story asks before deciding what to do with the remainder
  • 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.A.3 Solve multi-step story problems with whole numbers and all four operations, deciding what remainders mean, writing equations with a letter, and checking by estimating.
  • 4.NBT.B.6 Divide numbers up to 9,999 by one-digit numbers, finding quotients and remainders with place-value strategies shown in equations, arrays or area models.
  • 5.NBT.A.2 Explain why multiplying or dividing by 10, 100 or 1,000 adds zeros or moves the decimal point, and write powers of 10 with exponents.
  • 5.NBT.B.6 Divide numbers up to 9,999 by two-digit numbers to find whole-number quotients, with place-value strategies shown in equations, arrays or area models.
  • 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.

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

5th Grade Dividing Whole Numbers Test

5th Grade

The unit test on dividing whole numbers by 2-digit numbers in two forms, from dividing by multiples of 10 to long division with zeros in the quotient. Students estimate with compatible numbers, divide with area models, partial quotients and the standard algorithm, and solve remainder and division stories.

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What’s Included

  • The unit test in two forms, A and B (12 questions each)
  • Answer keys that name each question's lesson and skill (8 pages in all)
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