5th Grade Math Assessment: What 5th Graders Should Know

Many states administer standardized math tests to 5th graders at the end of the year. If you have a 5th grader with an upcoming math assessment, keep reading to find out what he or she should know.

Find available tutors

Overview of 5th Grade Math


By 5th grade, students begin to add and subtract fractions with unlike denominators. When encountering a problem like 2/6 + 2/3, students will find a common denominator and create an equivalent fraction in order to add the two fractional parts together. For instance, the numerator and denominator for the fraction 2/3 can be multiplied by two to create the equivalent fraction 4/6. Then, it is possible to add 2/6 + 4/6, which equals 6/6.

Students in 5th grade also add and subtract mixed numbers using a similar strategy. For instance, in a problem like 3 1/6 - 2/6, the student would first have to convert the mixed number (3 1/6) into an improper fraction (19/6). Then, he or she could subtract like normal (19/6 - 2/6 = 17/6). Your child may also encounter word problems that include fractions.

Numerical Operations

In 5th grade, the basic operations (addition, subtraction, multiplication and division) become more difficult because of the inclusion of multi-digit numbers and decimals. Your child will likely be tested on his or her ability to solve division problems with 2-digit divisors, such as 150 ÷ 30.

Additionally, 5th graders add and subtract decimals to the hundredths place. Your child may also have to round when solving these kinds of problems. If he or she were adding 4.351 + 1.398, the answer would be 5.749. Your child might then be asked to round the final answer to the hundredths place. If so, the answer would be 5.75.


Volume is the amount of space that a 3-dimensional object occupies. Students calculate volume by using the formula V = l x w x h. In this formula, V stands for volume, l is length, w is width and h is height. Although this formula may be provided on tests, it can be worthwhile to have your child memorize it.

Some of the volume questions on the assessment will likely be word problems in which students must calculate the volume of a real-world object. It's important to remember that all answers should be labeled in cubic units, like cubic inches or cubic feet.

Did you find this useful? If so, please let others know!

Other Articles You May Be Interested In

  • More Blog Articles
    MIND Games Lead to Math Gains

    Imagine a math teaching tool so effective that it need only be employed twice per week for less than an hour to result in huge proficiency gains. Impossible, you say? Not so...and MIND Research Institute has the virtual penguin to prove it.

  • More Blog Articles
    Should Math Be a Main Focus in Kindergarten?

    Should kindergartners put away the building blocks and open the math books? According to recent research, earlier is better when it comes to learning mathematical concepts. But that could put undue pressure on kids, parents and even teachers.

We Found 7 Tutors You Might Be Interested In

Huntington Learning

  • What Huntington Learning offers:
  • Online and in-center tutoring
  • One on one tutoring
  • Every Huntington tutor is certified and trained extensively on the most effective teaching methods
In-Center and Online


  • What K12 offers:
  • Online tutoring
  • Has a strong and effective partnership with public and private schools
  • AdvancED-accredited corporation meeting the highest standards of educational management
Online Only

Kaplan Kids

  • What Kaplan Kids offers:
  • Online tutoring
  • Customized learning plans
  • Real-Time Progress Reports track your child's progress
Online Only


  • What Kumon offers:
  • In-center tutoring
  • Individualized programs for your child
  • Helps your child develop the skills and study habits needed to improve their academic performance
In-Center and Online

Sylvan Learning

  • What Sylvan Learning offers:
  • Online and in-center tutoring
  • Sylvan tutors are certified teachers who provide personalized instruction
  • Regular assessment and progress reports
In-Home, In-Center and Online

Tutor Doctor

  • What Tutor Doctor offers:
  • In-Home tutoring
  • One on one attention by the tutor
  • Develops personlized programs by working with your child's existing homework
In-Home Only


  • What TutorVista offers:
  • Online tutoring
  • Student works one-on-one with a professional tutor
  • Using the virtual whiteboard workspace to share problems, solutions and explanations
Online Only

Our Commitment to You

  • Free Help from Teachers

  • Free Learning Materials

  • Helping Disadvantaged Youth