100+ Free SBAC Math Grade 6 Practice Questions

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Question 1

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A temperature was -5 degrees in the morning and rose to 8 degrees by afternoon. Which point would be farther from 0 on a number line?

Neither has a distance

-5 degrees

8 degrees

They are the same distance

to track

2026 Statistics

Key Facts: SBAC Math Grade 6 Exam

SBAC Grade 6 Math is a free, computer-adaptive Common Core summative test reporting four claims across ratios, the number system, expressions and equations, geometry, and statistics; Level 3 means the grade-6 standard is met.

Sample SBAC Math Grade 6 Practice Questions

Try these sample questions to test your SBAC Math Grade 6 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1In a bag of fruit there are 4 apples and 6 oranges. What is the ratio of apples to oranges, written in simplest form?

A.2 to 3

B.3 to 2

C.4 to 10

D.6 to 4

Explanation: The ratio of apples to oranges is 4:6. Dividing both numbers by their greatest common factor, 2, gives 2:3. A ratio is written in the order named in the question, apples first.

2A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of flour are used for each single cup of sugar?

A.2 cups

B.1.5 cups

C.0.5 cups

D.6 cups

Explanation: A unit rate per 1 cup of sugar means dividing flour by sugar: 3 cups divided by 2 cups equals 1.5 cups of flour per cup of sugar. Unit rates express a ratio as an amount per one unit.

3A car travels 150 miles in 3 hours at a constant speed. What is the car's speed in miles per hour?

A.45 miles per hour

B.450 miles per hour

C.50 miles per hour

D.30 miles per hour

Explanation: Speed as a unit rate is distance divided by time: 150 miles divided by 3 hours equals 50 miles per hour. This is the constant rate at which the car travels each hour.

4At a store, 5 notebooks cost $12. At the same rate, how much would 15 notebooks cost?

A.$24

B.$60

C.$17

D.$36

Explanation: Because 15 is 3 times 5, the cost is also 3 times as much: $12 times 3 equals $36. Equivalent ratios scale the same way for both quantities.

5What is 30% of 80?

A.2.4

B.240

C.24

D.50

Explanation: A percent is a rate per 100, so 30% means 30/100. Multiplying: 30/100 times 80 equals 0.30 times 80, which is 24.

6A shirt that normally costs $40 is on sale for 25% off. What is the amount of the discount?

A.$15

B.$10

C.$30

D.$25

Explanation: The discount is 25% of $40. Since 25% equals 0.25, multiply 0.25 times $40 to get $10. This is the dollar amount taken off the price.

712 is 25% of what number?

A.3

B.37

C.300

D.48

Explanation: If 12 represents 25% (one quarter) of the whole, then the whole is 4 times 12, which equals 48. You can also divide 12 by 0.25 to get 48.

8A double number line shows that 4 pounds of apples cost $6. Using the same rate, what is the cost of 10 pounds?

A.$15

B.$12

C.$16

D.$24

Explanation: The unit price is $6 divided by 4 pounds, which is $1.50 per pound. For 10 pounds, multiply 10 times $1.50 to get $15.

9How many feet are in 4 yards? (1 yard = 3 feet)

A.7 feet

B.12 feet

C.4 feet

D.36 feet

Explanation: Using ratio reasoning to convert units, multiply 4 yards by the rate 3 feet per yard: 4 times 3 equals 12 feet. The yard units cancel, leaving feet.

10On a map, 2 inches represents 50 miles. How many miles does 5 inches represent?

A.100 miles

B.20 miles

C.250 miles

D.125 miles

Explanation: The rate is 50 miles per 2 inches, which is 25 miles per inch. For 5 inches, multiply 5 times 25 to get 125 miles.

About the SBAC Math Grade 6 Exam

The Smarter Balanced Grade 6 Mathematics Summative Assessment is an end-of-year, computer-adaptive test that measures sixth-grade mastery of the Common Core State Standards. It combines a computer adaptive test (CAT) with a performance task (PT) and reports results across four claims: Concepts and Procedures (Claim 1), Problem Solving (Claim 2), Communicating Reasoning (Claim 3) and Modeling and Data Analysis (Claim 4). Grade-6 content spans five domains: Ratios and Proportional Relationships, The Number System, Expressions and Equations, Geometry, and Statistics and Probability. Students answer a mix of multiple choice, multiple select, equation entry, matching and technology-enhanced items. Member states such as California (through CAASPP) and Washington administer the assessment free of charge, and scores are reported in four achievement levels with Level 3 indicating the grade-6 standard has been met.

Questions

100 scored questions

Time Limit

Untimed; most grade-6 students finish the mathematics assessment in about 1.5 to 2.5 hours across one or more sessions.

Passing Score

Four achievement levels are reported; Level 3 (Standard Met) or Level 4 (Standard Exceeded) indicates the grade-6 standard is met, with a Grade 6 math Level 3 scale-score cut of 2552 in most member states.

Exam Fee

Free to students; administered at no cost as part of state assessment programs in Smarter Balanced member states. (Smarter Balanced Assessment Consortium)

SBAC Math Grade 6 Exam Content Outline

18%

Ratios and Proportional Relationships (6.RP)

Ratio language, unit rates and unit pricing, equivalent ratios and tables, percent as a rate per 100, and unit conversion with ratio reasoning.

26%

The Number System (6.NS)

Dividing fractions by fractions, fluent multi-digit decimal arithmetic, GCF and LCM, integers and rational numbers, absolute value and the coordinate plane.

28%

Expressions and Equations (6.EE)

Algebraic expressions and exponents, evaluating and generating equivalent expressions, one-variable equations and inequalities, and dependent and independent variables.

16%

Geometry (6.G)

Area of triangles, special quadrilaterals and polygons, volume of right rectangular prisms, surface area from nets, and figures on the coordinate plane.

12%

Statistics and Probability (6.SP)

Statistical questions and variability, measures of center and spread, and displaying and summarizing numerical data distributions.

How to Pass the SBAC Math Grade 6 Exam

What You Need to Know

Passing score: Four achievement levels are reported; Level 3 (Standard Met) or Level 4 (Standard Exceeded) indicates the grade-6 standard is met, with a Grade 6 math Level 3 scale-score cut of 2552 in most member states.
Exam length: 100 questions
Time limit: Untimed; most grade-6 students finish the mathematics assessment in about 1.5 to 2.5 hours across one or more sessions.
Exam fee: Free to students; administered at no cost as part of state assessment programs in Smarter Balanced member states.

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

SBAC Math Grade 6 Study Tips from Top Performers

1Master ratio and unit-rate reasoning, since ratios and percents appear throughout Claim 1 and applied problems.

2Practice dividing fractions by multiplying by the reciprocal until it becomes automatic.

3Work with negative numbers, absolute value and the coordinate plane so integers feel familiar on the number line.

4Build fluency writing and evaluating algebraic expressions and solving one-variable equations and inequalities.

5Learn the area, surface area and volume formulas and connect surface area to nets of solids.

6For Claim 3, practice explaining your reasoning and finding the error in another student's work.

Frequently Asked Questions

What is the SBAC Grade 6 Mathematics assessment?

It is the Smarter Balanced end-of-year mathematics summative test for sixth grade, a computer-adaptive assessment aligned to the Common Core State Standards that combines a computer adaptive test (CAT) with a performance task (PT).

What math topics are covered in Grade 6?

The test covers five Common Core domains: Ratios and Proportional Relationships, The Number System, Expressions and Equations, Geometry, and Statistics and Probability, including ratios, dividing fractions, integers, algebraic expressions, equations, area, volume and data analysis.

What are the four Smarter Balanced claims?

Claim 1 is Concepts and Procedures, Claim 2 is Problem Solving, Claim 3 is Communicating Reasoning, and Claim 4 is Modeling and Data Analysis. In math, Claims 2 and 4 are combined for score reporting.

How is the SBAC Grade 6 math test scored?

Results are reported in four achievement levels. Level 1 is Standard Not Met, Level 2 is Standard Nearly Met, Level 3 is Standard Met, and Level 4 is Standard Exceeded. Level 3 or higher means the grade-6 standard has been met.

Is the SBAC test timed?

No. The Smarter Balanced summative assessment is not timed. Most sixth-grade students complete the mathematics test in roughly 1.5 to 2.5 hours, often over more than one session.

Which states use the Smarter Balanced Grade 6 math test?

Smarter Balanced member states administer it, including California through the CAASPP program, Washington, Oregon, Hawaii, Idaho, Montana, Nevada, Delaware, Connecticut and others, at no cost to students.