Printable 3rd Grade Math State Test + How to Ace State Tests!

3rd Grade Math State Test

In most states, third grade is the earliest grade level required to take state assessments in both English Language Arts and Mathematics. With state testing being a new experience for your third grader, it’s natural that you want to go into testing season with as much information as possible.

The vast majority of states administer exams that are at least loosely based on the Common Core State Standards (CCSS), so your child should be tested on a fairly standardized set of skills regardless of location.

In this article, we’ll focus on 3rd grade math state tests and provide you with a printable 3rd grade math state test which you can download by clicking the button below.

In addition to receving the 3rd grade math test, you will also get a bonus PDF "5 Proven Test Prep Strategies for Using Practice Tests" to help you develop a study plan.

In this article we’ll also break down the expectations of Common Core third grade math, explain the two most common state tests (PARCC and SBAC), and provide you with tips for helping your child ace any 3rd grade math state test.

What 3rd Grade Math State Test Will My Child Take?

The specific test your child will take depends on your location. Regardless of location, however, most current state tests measure extremely similar skills and knowledge.

The majority of 3rd grade math tests are based on the Common Core State Standards (CCSS), a set of rigorous national standards for ELA and Mathematics meant to adequately prepare students for college and careers.

Even those tests that are not directly linked to CCSS measure closely related skills, so an understanding of Common Core can help you ensure that your child is adequately prepared for mathematics testing.

Two state tests in particular were designed to be linked to CCSS: PARCC and SBAC. Both the Partnership for Assessment of Readiness for College and Career (PARCC) and the Smarter Balanced Assessment Consortium (SBAC) received funds from the Department of Education to create CCSS-aligned standardized tests.

PARCC states include:

  • Colorado

  • Illinois

  • Maryland

  • New Jersey

  • New Mexico

  • Rhode Island

  • Massachusetts (participates, but doesn’t fully utilize PARCC)

  • Louisiana (participates, but doesn’t fully utilize PARCC)
  • SBAC member states include:

  • California

  • Hawaii

  • North Dakota

  • South Dakota

  • Oregon

  • Washington

  • West Virginia
  • Keep in mind that even if your child is not required to take PARCC or SBAC, your child’s 3rd grade math state test will likely measure skills that are closely related to CCSS.

    Common Core Third Grade Math

    Since state tests are closely linked to Common Core, what exactly does your child need to know and be able to do, according to CCSS?

    Common Core third grade math skills fall into five categories:

  • Operations and Algebraic Thinking

  • Number and Operations in Base 10

  • Number and Operations-Fractions

  • Measurement and Data

  • Geometry
  • Let’s take a look at the specific skills and knowledge third grade students should be able to demonstrate in each category.

    Operations and Algebraic Thinking

    Third grade students should be able to:

  • Represent and solve problems involving multiplication and division

  •   3rd Grade Math sample question - Operations and Algebraic Thinking 1

    3rd Grade Math sample question - Operations and Algebraic Thinking 1

  • Understand properties of multiplication and the relationship between multiplication and division
  •   3rd Grade Math sample question - Relationship between multiplication and division

    3rd Grade Math sample question - Relationship between multiplication and division

  • Multiply and divide within 100

  • Solve problems involving the four operations (addition, subtraction, multiplication, division) and explain patterns in arithmetic
  •   3rd Grade Math sample question-   Operations and Algebraic Thinking 2 sample question

    3rd Grade Math sample question- Operations and Algebraic Thinking 2 sample question

    Number and Operations in Base 10

    By third grade, students should be able to perform multi-digit arithmetic using place value understanding and properties of operations.

    This includes the ability to round numbers, fluently add and subtract within 1000 (using place-value understanding), and multiply one-digit whole numbers by multiples of ten.

      3rd Grade Math example : Number and Operations in Base 10

    3rd Grade Math example : Number and Operations in Base 10

    Common Core State Standards suggest that fractions be introduced in third grade, at which point students should begin to understand fractions as numbers .

    They should also be able to represent fractions on a number line diagram and compare fractions by reasoning about their size.

      3rd Grade Math example : - Fraction Sample 1

    3rd Grade Math example : - Fraction Sample 1

      3rd Grade Math example :- Fraction Sample 2

    3rd Grade Math example :- Fraction Sample 2

    Third grade students are expected to:

  • Work with time and money

  •   Math   example grade 3:   Measurement and Data Sample 1

    Math example grade 3: Measurement and Data Sample 1

  • Solve problems involving measurement and estimation

  • Measure and estimate length using standard units

  • Understand area

  •   Grade 3 Math example : Measurement and Data Sample 2

    Grade 3 Math example : Measurement and Data Sample 2

  • Recognize perimeter

  • Record and represent data

  •   3rd Grade Math example :- Measurement and Data Sample 3

    3rd Grade Math example :- Measurement and Data Sample 3

    Geometry

    According to CCSS, students in grades 1-3 should be able to reason with shapes and their attributes, building on this knowledge each year.

    You can expect Geometry questions on a 3rd grade math state test to look similar to the examples below:

      3rd Grade Math example :- Geometry Sample Question 1

    3rd Grade Math example :- Geometry Sample Question 1

      Grade 3 Math example :   -   Geometry Sample Question 2

    Grade 3 Math example : - Geometry Sample Question 2

    You shouldn’t expect your child to be asked an equal number of questions for each of the five categories described here. For example, there will likely be significantly more questions about Operations and Algebraic Thinking than about Geometry.

    Additionally, keep in mind that your child will be asked mostly multiple choice questions, but he will also encounter a few constructed response questions. These questions involve showing work, filling out a chart, etc. and providing a brief explanation of the reasoning involved in solving the problem.

    Now that you have an understanding of Common Core 3rd grade math, we’ll take a look at the specifics of the SBAC and PARCC, the two most common 3rd grade math state tests. Remember that you can view additional sample questions by checking out the SBAC practice test 3rd grade or the PARCC practice test 3rd grade.

    The Smarter Balanced Assessment Consortium (SBAC) Mathematics test measures the following four skill categories:

  • Concepts and Procedures: Students can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency.

  • Problem Solving: Students can solve a range of complex well-posed problems in pure and applied mathematics, making productive use of knowledge and problem solving strategies.

  • Communicating Reasoning: Students can clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.

  • Modeling and Data Analysis: Students can analyze complex, real-world scenarios and can construct and use mathematical models to interpret and solve problems.
  • Concepts and Procedures

    Problem Solving questions require 3rd grade students to apply math to real-world situations. They must be able to strategically select and use tools as they solve problems, and they need the ability to interpret results in context.

    In order to answer Communicate Reasoning questions, your child must critique, prove, justify, or investigate mathematical conjectures and logic. Students may be asked to explain the reasoning behind an answer, or they may be provided with a sample problem and be expected to identify flaws in mathematical reasoning.

    Finally, Modeling and Data Analysis questions ask 3rd grade students to apply mathematical knowledge to real world scenarios at a grade-level appropriate understanding. Students may be asked to develop mathematical models of their own or to improve upon provided models. Students may also be asked to make reasoned estimates and plan, design, evaluate, and recommend tasks.

    SBAC tests are untimed, but 3rd grade Mathematics generally requires about two hours and 30 minutes to complete.

    To learn more about the SBAC, try reviewing an SBAC practice test 3rd grade with your child.

    The Partnership for Assessment of Readiness for College and Career (PARCC) Mathematics tests measure students’ ability to solve multi-step math problems that require critical thinking and address real-world situations.

    PARCC test questions consist ofthree major task types:

  • Type I: Tasks assessing concepts, skills, and procedures.

  • Type II: Tasks assessing the ability to express mathematical reasoning (written arguments and justifications, critiques of reasoning, precision in mathematical statements).

  • Type III: Tasks assessing models/application in real world contexts or scenarios.
  • All three task types require students to use and apply Common Core 3rd grade math skills, as described in the Common Core section of this article.

    Each math exam is divided into “units,” and third grade students must complete four units lasting 60 minutes each. Third grade students are not permitted to use a calculator on the test, as a calculator is not needed to solve third grade math questions.

    To learn more about PARCC, be sure to check out the PARCC practice test 3rd grade.

    Is your child taking PARCC, SBAC, or another 3rd grade math state test entirely? No matter how you answered this question, the following tips can help your child ace his or her math test!

  • Pay attention, complete assignments, and study your Math throughout the school year. Since each teacher’s curriculum is based on CCSS (or very similar skills), the information your child learns in class will be immensely helpful on the state test. If math seems difficult for your child, consider hiring a tutor or asking the teacher for additional help.

  • Further your knowledge or gain extra practice using math workbooks. If your child struggles with a specific CCSS skill, find a program or workbook that focuses on that skill and have your child practice regularly.

  • Learn to reason mathematically. Be sure that your child understands not only the mathematical “how,” but also the “why.” According to CCSS, and consequently the state tests, being able to solve a math problem isn’t enough. Your child also needs to be able to explain and justify reasoning, so you should practice this as you complete math assignments.

  • Practice test-taking strategies. Have your child work on important test-taking strategies, like using process of elimination and skipping over difficult questions to return to them later. Also teach your child to relax, and try to avoid over-emphasizing the test and causing test anxiety.

  • Become familiar with test content by working with a practice 3rd grade math state test. Whether your child needs an SBAC practice test 3rd grade, a PARCC practice test 3rd grade, or another test, completing practice tests significantly increases confidence and familiarity with test content.
  • We hope that the tips, information and the printable practice test provided here help you and your child feel more comfortable and confident heading into test day. Good luck!