FREE 5th Grade Math Test And Answer Key: Prepare Students For State Assessments

This 5th grade math test is the perfect resource for assessing your students’ math knowledge. The test includes multiple-choice questions, short answer response questions and an extended response question all focused on topics from the 5th grade common core math standards.

What content is covered in 5th grade math? 

Curriculum and standards often vary by state, but overall most states have a very similar curriculum for fifth grade. 

This test assess students’ knowledge on an extensive range of fifth grade topics such as: 

• Place value and number forms
• Addition and subtraction
• Multiplication and division involving whole numbers
• Fractions (including mixed numbers)
• Decimals
• Complex word problems
• Measurement conversions
• Line plots
• Volume
• Coordinate planes

Looking for more 5th grade content?

Explore these comprehensive topic guides and worksheets to support 5th grade math: 

• Number and quantity 
• Geometry 
• Measurement and data 

What to expect from this math test

This 5th grade mathematics practice test will help to prepare students for their state assessment at the end of the year. 

This practice test includes: 

• 40 multiple-choice questions
• 1 short answer response questions
• 2 extended response questions
• Answer key 
• Answers sorted by domain 

Aligned to the common core standards

Created by experienced elementary math teachers, this test is designed to utilize in a fifth grade classroom. All practice test questions are aligned to the Common Core math standards and cover fith grade content from all five CCSS domains:

• Numbers and Operations in Base Ten
• Operations and Algebraic Thinking
• Fractions
• Measurement and Data
• Geometry

5th grade math questions 

This practice test is made up of 43 questions, increasing in difficulty. Questions are broken down into three types:

• Multiple choice
• Short response
• Extended response. 

A detailed answer key is provided for the multiple choice section. This includes 

• The correct answer for each question 
• The standard(s) the question covers 
• The depth of knowledge (DOK) level of the question. 

Short answer and extended response questions include a scoring guide with a rationale for each possible score students can receive based on their responses. 

Not only will this help with scoring each test, but help to inform teachers of the areas each student may need help with. 

As the standards are mixed throughout the test and given in no particular order to better reflect the make up of the state assessments, a second answer key, organized by domain, is provided so teachers can better track student understanding.

How to use this 5th grade math test

This 5th grade math test is designed to be used as a practice test or mock state assessment. It will help familiarize 5th grade students with the length of the test and the types of questions they’ll see. 

A few other ways teachers can utilize this test include: 

• Set as a mock state assessment
• During small group practice; students may collaborate and talk through the questions
• Set as homework
• Break questions down in math intervention groups
• Assess student knowledge of a particular topic; teachers may use questions individually as exit tickets or quizzes
• Identify areas of support for students
• Identify students who require a math intervention

At Third Space Learning we know that no one knows your students like a teacher does so schools decide which standards each student needs additional practice with each week. 

Each one-on-one math lesson is designed to close learning gaps and address misconceptions and high-quality math tutors personalize the pitch and pace to fit each student.

After each session, teachers receive a detailed report for each student, showing topics covered, skills practiced and progress made.

Methodology behind the 5th grade math test 

Before creating this test, experienced elementary teachers reviewed state assessments from multiple states. They looked at the distribution of domains throughout the tests and standards within each domain. Based on this data, questions were expertly written to best show students’ understanding of each standard. 

The distribution of domains within this test is as follows:

• Operations and Algebraic Thinking – 14% 
• Number and Operations in Base Ten – 25% 
• Number and Operations–Fractions – 28%
• Measurement and Data – 19%
• Geometry – 14%

5th Grade Math Test: Practice CCSS State Test

Questions for our 5th grade math test follow. Don’t forget to download the free 5th grade math practice test for the answer key and answers sorted by domain to accompany these questions.

Multiple choice questions

Short answer response question

Extended response questions

More grade level math practice tests 

3rd grade math practice test 
4th grade math practice test
6th grade math practice test 

FAQs

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Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way.

Personalized one-on-one math tutoring programs are available for:
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