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100+ Free SBAC Math Grade 3 Practice Questions

Pass your Smarter Balanced Assessment Consortium Mathematics, Grade 3 exam on the first try — instant access, no signup required.

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A bar graph shows apples: red 8, green 5, yellow 3. How many apples are there in all?

A
B
C
D
to track
2026 Statistics

Key Facts: SBAC Math Grade 3 Exam

SBAC Grade 3 Math is an online computer adaptive test plus performance task aligned to the Common Core, measuring multiplication, division, fractions, area, perimeter, time, measurement, and data across four claims, reported in four achievement levels.

Sample SBAC Math Grade 3 Practice Questions

Try these sample questions to test your SBAC Math Grade 3 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1There are 4 bags. Each bag has 5 apples. How many apples are there in all?
A.9
B.20
C.45
D.25
Explanation: Multiplication means equal groups. 4 bags with 5 apples each is 4 x 5 = 20 apples. You can also add 5 + 5 + 5 + 5 = 20.
2Which equation matches the picture: 3 rows of stars with 6 stars in each row?
A.3 + 6 = 9
B.3 x 6 = 18
C.6 - 3 = 3
D.6 + 6 = 12
Explanation: An array with 3 equal rows of 6 shows multiplication. 3 rows x 6 stars = 18 stars. Each row is an equal group.
3What is 7 x 8?
A.54
B.15
C.56
D.48
Explanation: 7 x 8 = 56. You can think of it as 7 groups of 8: 8, 16, 24, 32, 40, 48, 56. By Grade 3 you should know this product from memory.
4A teacher shares 24 pencils equally among 6 students. How many pencils does each student get?
A.4
B.18
C.6
D.30
Explanation: Sharing equally means division. 24 pencils divided by 6 students is 24 / 6 = 4 pencils each. Check: 6 x 4 = 24.
5What unknown number makes this equation true: 8 x ? = 56?
A.6
B.7
C.8
D.48
Explanation: You need a number times 8 that equals 56. Since 8 x 7 = 56, the unknown is 7. Division undoes multiplication: 56 / 8 = 7.
6Knowing that 6 x 9 = 54, which division fact is also true?
A.54 / 6 = 9
B.54 / 9 = 6
C.Both 54 / 6 = 9 and 54 / 9 = 6
D.9 / 54 = 6
Explanation: Multiplication and division are related. From 6 x 9 = 54 you get two division facts: 54 / 6 = 9 and 54 / 9 = 6. This fact family connects all three numbers.
7Which shows the commutative property of multiplication?
A.4 x 7 = 7 x 4
B.4 x 7 = 4 + 7
C.4 x 7 = 28 + 0
D.4 x 7 = 14 x 2
Explanation: The commutative property says you can change the order of the factors and the product stays the same: 4 x 7 = 7 x 4 = 28. The order does not change the answer.
8Use the distributive property: 7 x 6 = (7 x 4) + (7 x ?). What number goes in the box?
A.6
B.2
C.10
D.3
Explanation: Break 6 into 4 + 2. So 7 x 6 = (7 x 4) + (7 x 2) = 28 + 14 = 42. The missing number is 2 because 4 + 2 = 6.
9What is 9 x 0?
A.9
B.0
C.90
D.1
Explanation: Any number multiplied by 0 equals 0. Nine groups of zero is 0 + 0 + ... = 0. This is the zero property of multiplication.
10There are 56 crayons placed into boxes with 8 crayons in each box. How many boxes are filled?
A.7
B.48
C.64
D.6
Explanation: To find the number of boxes, divide the total by the number per box: 56 / 8 = 7 boxes. Check: 8 x 7 = 56.

About the SBAC Math Grade 3 Exam

The Smarter Balanced (SBAC) Grade 3 Mathematics assessment measures how well third graders have learned the Common Core State Standards for mathematics. It is an online, computer adaptive test combined with a performance task, given each spring in member states such as California, Washington, Oregon, Hawaii, and others. Items are organized around four claims: Claim 1 Concepts and Procedures, Claim 2 Problem Solving, Claim 3 Communicating Reasoning, and Claim 4 Modeling and Data Analysis, with Claims 2 and 4 reported together. Grade 3 focuses on multiplication and division within 100, understanding fractions as numbers, area and perimeter, time and measurement, and reading simple graphs. Students answer selected-response, technology-enhanced, and constructed-response questions, and results are reported on a vertical scale across four achievement levels. The assessment shows whether students are on track for grade-level mathematics.

Questions

100 scored questions

Time Limit

Untimed in practice; the operational Grade 3 mathematics test usually takes about 1.5 to 2.5 hours across one or more sessions.

Passing Score

Four achievement levels on a scale of about 2000-3000; for Grade 3 math, Level 3 (standard met) is 2436-2500 and Level 4 (standard exceeded) is above 2500.

Exam Fee

Free for students; member states cover the cost of the assessment. (Smarter Balanced Assessment Consortium)

SBAC Math Grade 3 Exam Content Outline

35%

Operations & Algebraic Thinking

Multiplication and division within 100, equal groups and arrays, properties of operations, fact families, two-step word problems, and number patterns.

18%

Number & Operations - Fractions

Fractions as numbers with denominators 2, 3, 4, 6, and 8, unit fractions, fractions on a number line, equivalent fractions, and comparing fractions.

17%

Area & Perimeter

Area by counting unit squares and multiplying side lengths, the distributive property with area, perimeter of polygons, and unknown side lengths.

12%

Time, Volume & Mass

Telling time to the minute, time-interval word problems, and measuring and estimating liquid volume in liters and mass in grams and kilograms.

10%

Number & Operations in Base Ten

Place value, rounding to the nearest 10 or 100, adding and subtracting within 1000, and multiplying by multiples of 10.

5%

Data & Graphs

Reading and interpreting scaled picture graphs and bar graphs and generating line plots.

3%

Geometry

Classifying quadrilaterals by attributes and partitioning shapes into equal parts to show unit fractions.

How to Pass the SBAC Math Grade 3 Exam

What You Need to Know

  • Passing score: Four achievement levels on a scale of about 2000-3000; for Grade 3 math, Level 3 (standard met) is 2436-2500 and Level 4 (standard exceeded) is above 2500.
  • Exam length: 100 questions
  • Time limit: Untimed in practice; the operational Grade 3 mathematics test usually takes about 1.5 to 2.5 hours across one or more sessions.
  • Exam fee: Free for students; member states cover the cost of the assessment.

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 3 Study Tips from Top Performers

1Practice multiplication and division facts up to 10 x 10 until they can be answered quickly from memory.
2Use number lines and fraction bars to build a strong picture of fractions with denominators 2, 3, 4, 6, and 8.
3Solve two-step word problems by writing an equation with a letter for the unknown, then checking that the answer is reasonable.
4Connect area to multiplication by counting unit squares and then using length times width for rectangles.
5Practice telling time to the minute and finding elapsed time using a clock or a number line.
6Read bar graphs and picture graphs carefully, noting that one symbol or one bar unit can stand for more than one item.

Frequently Asked Questions

What is the SBAC Grade 3 Math test?

It is the Smarter Balanced Grade 3 Mathematics assessment, an online computer adaptive test plus a performance task that measures how well third graders have learned the Common Core State Standards for mathematics.

What math topics are on the Grade 3 SBAC?

Grade 3 covers multiplication and division within 100, fractions as numbers, area and perimeter, time and measurement, place value, adding and subtracting within 1000, and reading bar and picture graphs.

What are the four Smarter Balanced math 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 mathematics, Claims 2 and 4 are reported together as one score.

How is the SBAC Grade 3 Math test scored?

Students receive a scale score of about 2000 to 3000 and fall into one of four achievement levels. For Grade 3 math, Level 3 (standard met) is 2436 to 2500 and Level 4 (standard exceeded) is above 2500.

Is the SBAC Grade 3 Math test timed?

No. The test is not strictly timed, so students can work at their own pace. In practice the Grade 3 mathematics test usually takes about 1.5 to 2.5 hours, sometimes split over more than one session.

Which fractions are tested in Grade 3?

Grade 3 fraction work is limited to fractions with denominators of 2, 3, 4, 6, and 8. Students learn unit fractions, fractions on a number line, equivalent fractions, and comparing fractions with the same numerator or denominator.