# FREE 6th Grade Math Test And Answer Key: Prepare Students For State Assessments

This 6th grade math test is perfect 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 6th grade math standards.

### What content is covered in 6th grade math?

Curriculum and standards vary by state, but most state’s math standards cover similar topics.

This math test assesses students’ knowledge and understanding of sixth grade topics such as:

• Ratios and percentages
• Rational numbers
• Operations with decimals
• Division of fractions
• One and two-step word problems
• One-variable equations and inequalities
• Algebraic expressions and exponents
• Graphing on the coordinate plane
• Area, volume and surface area of shapes (parallelograms and quadrilaterals)
• Measuring side lengths
• Time

6th Grade Common Core Practice Test

### What to expect from this 6th grade math test

This 6th grade mathematics will help to prepare students for their state’s assessment at the end of the year.

The math practice test includes:

• 40 multiple-choice questions
• 2 extended response question

### Aligned to the common core standards

Created by experienced elementary math teachers, this test is designed for use in a 6th grade math classroom. Test questions are aligned to the sixth grade Common Core State Standards and cover content from the following CCSS domains:

• Ratios and Proportional Relationships
• The Number System
• Expressions and Exponents
• Geometry
• Statistics and Probability

There are 42 questions of increasing difficulty and three question types:

• Multiple choice
• 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 detailed rationale for each possible score students can receive.

As well as helping with scoring each test, the answer key and rationale inform teachers of the areas each student may need help with.

Standards are mixed throughout the test and questions are in no particular order to reflect state assessments. To help teachers better track student understanding, a second answer key, organized by domain, is also provided.

### How to use this 6th grade math test

Use this 6th grade math test in class as a mock state assessment. It will help to familiarize 6th grade students with the length of the test and the types of questions they’ll see.

Teachers may choose to use this test in a few different ways:

• 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 tutoring 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 this 6th grade math test

Before creating this test, our expert math teachers reviewed state assessments from multiple states and compared the distribution of domains throughout the tests and standards within each domain. Based on this data, questions are expertly written to best show students’ understanding of each standard.

The distribution of domains within this test is as follows:

• Ratios and Proportional Relationships – 14%
• The Number System – 26%
• Expressions and Equations – 29%
• Geometry – 14%
• Statistics and Probability – 17%

### Extended response questions

#### FAQs

What are the topics in Grade 6 mathematics?

The topics in Grade 6 mathematics can vary by state. Overall most states have a very similar curriculum for their sixth graders. Topics covered in Grade 6 mathematics by the majority of states are:
• Ratios and percentages
• Rational numbers
• Operations with decimals
• Division of fractions
• One and two-step word problems
• One-variable equations and inequalities
• Algebra exponents
• Graphing on the coordinate plane
• Area, volume and surface area of shapes (parallelograms and quadrilaterals)
• Measuring side lengths
• Time

What math are you supposed to take in 6th grade?

In the sixth grade, students study algebraic expressions to help set foundations for middle school algebra. Additionally, they begin to explore negative numbers and use ratio and proportion to solve problems, use four quadrants on a coordinate grid, review long division, find quotients of a fraction, decimal arithmetic, the area of triangles and the surface area and volume of rectangular prisms.

In the first year of middle school, students should start to understand more advanced mathematics skills. They should be able to work with decimal numbers up to the hundredths place, use integers and, in algebra, understand the value of the expression. Students also need advanced skills in English, including being able to write clearly to provide detailed information, tell a story and back up their opinions on the language arts front.

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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.

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