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Key Facts: SBAC Grade 4 Math Exam

SBAC Grade 4 Math is built on the Common Core State Standards and organized around four claims.

About half of the Smarter Balanced math test assesses Claim 1, Concepts and Procedures, which covers grade-level skills.

In Smarter Balanced mathematics, Claims 2 and 4 are combined into a single reported subscore alongside a separate Claim 1 score.

The Smarter Balanced math test combines an adaptive computer section with a non-adaptive performance task on a common theme.

For Grade 4 math, Level 3 'Standard Met' begins at a scale score of 2485.

The Smarter Balanced assessment is state-funded, so it costs students and families nothing to take in participating public schools.

Grade 4 fraction work is limited to denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

Grade 4 multiplication covers up to four digits by one digit and two digits by two digits.

SBAC Grade 4 Math is a free, state-funded online computer-adaptive test plus a performance task, built on the Common Core and organized around four claims, with about half the items assessing Claim 1 concepts and procedures.

Sample SBAC Grade 4 Math Practice Questions

Try these sample questions to review concepts for the SBAC Grade 4 Math exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A school orders 7 boxes of crayons. Each box holds 8 crayons. How many crayons are there in all?
A.15
B.48
C.56
D.64
Explanation: Multiply the number of boxes by the crayons per box: 7 x 8 = 56. This is a basic multiplication fact used to find a total of equal groups.
2Maria reads 4 times as many pages as Tom. Tom reads 9 pages. How many pages does Maria read?
A.13
B.36
C.45
D.5
Explanation: The phrase '4 times as many' means multiply: 4 x 9 = 36. This is a multiplicative comparison, where one quantity is a multiple of another.
3Which equation matches the statement '24 is 6 times as many as 4'?
A.24 = 6 + 4
B.24 = 6 - 4
C.24 = 4 + 4 + 4
D.24 = 6 x 4
Explanation: '6 times as many as 4' is written as 6 x 4, and that product equals 24. Multiplicative comparisons are represented with multiplication.
4A baker has 56 muffins. She puts them equally into 8 trays. How many muffins are on each tray?
A.6
B.7
C.9
D.48
Explanation: Divide the total by the number of trays: 56 / 8 = 7. Division separates a total into equal groups.
5A class needs 100 pencils. Pencils come in packs of 8. What is the fewest number of packs needed so every student has enough pencils?
A.12
B.13
C.11
D.100
Explanation: 100 / 8 = 12 remainder 4. Because 12 packs give only 96 pencils, one more pack is needed, so 13 packs are required. This problem requires interpreting the remainder.
6Find all the factor pairs of 18.
A.1x18, 2x8, 3x6
B.1x18, 2x9, 4x5
C.1x18, 2x9, 3x6
D.2x9, 3x6, 4x4
Explanation: The factor pairs of 18 are 1 x 18, 2 x 9, and 3 x 6. Each pair multiplies to 18, so 1, 2, 3, 6, 9, and 18 are all factors.
7Which number is a prime number?
A.21
B.23
C.15
D.27
Explanation: 23 is prime because its only factors are 1 and 23. A prime number has exactly two factors: 1 and itself.
8Which number is a multiple of 6?
A.20
B.26
C.42
D.16
Explanation: 42 is a multiple of 6 because 6 x 7 = 42. A multiple of 6 is any number you reach by counting by sixes.
9A pattern starts at 4 and follows the rule 'add 5.' What are the first four terms?
A.4, 5, 6, 7
B.4, 8, 12, 16
C.5, 10, 15, 20
D.4, 9, 14, 19
Explanation: Start at 4 and add 5 each time: 4, 9, 14, 19. Each term is 5 more than the one before it.
10A number pattern follows the rule 'add 3' starting at 2: 2, 5, 8, 11, 14. Which statement about the pattern is true?
A.All terms are even
B.All terms are odd
C.The terms alternate between even and odd
D.The terms are all multiples of 3
Explanation: The terms 2, 5, 8, 11, 14 alternate even, odd, even, odd, even. Adding an odd number like 3 switches a number between even and odd each time.

About the SBAC Grade 4 Math Exam

The Smarter Balanced Grade 4 Mathematics Summative Assessment is an online, computer-adaptive test that measures how well fourth graders meet the Common Core State Standards for mathematics. It is 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. About half of the test assesses Claim 1, which covers grade-4 content domains such as operations and algebraic thinking, base-ten arithmetic, fractions and decimals, measurement and data, and geometry. The test combines a computer-adaptive section with a performance task built on a common grade 3-5 theme, and it uses a range of item types beyond multiple choice, including drag-and-drop, hot-spot, table fill-in, and equation entry. Results are reported on a vertical scale of roughly 2000 to 3000 across four achievement levels, and the assessment is funded by member states, so there is no cost to students. It is given each spring in states that belong to the Smarter Balanced consortium, where it may be branded under state names such as CAASPP in California.

Exam sponsor: Smarter Balanced Assessment Consortium (administered by member states, frequently via Cambium Assessment). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

100 questions

Time Limit

About 1 hour 30 minutes for the computer-adaptive section plus roughly 1 hour for the performance task; the test is effectively untimed and additional time is allowed as needed.

Passing Score

Grade 4 mathematics uses four achievement levels on a vertical scale; Level 3 'Standard Met' begins at scale score 2485 and Level 4 'Standard Exceeded' begins at 2549.

Exam / Certification Fees

No cost to students or families; the assessment is state-funded for public schools in Smarter Balanced member states and territories.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

18%

Operations & Algebraic Thinking (4.OA)

Multiplicative comparison, multistep word problems with remainders, factors, multiples, prime and composite numbers, and number and shape patterns.

22%

Number & Operations in Base Ten (4.NBT)

Place value, comparing and rounding multi-digit numbers, multi-digit addition and subtraction, multi-digit multiplication, and division with one-digit divisors.

26%

Number & Operations - Fractions (4.NF)

Equivalent fractions, comparing fractions, adding and subtracting fractions and mixed numbers, multiplying fractions by whole numbers, and decimal notation.

16%

Measurement & Data (4.MD)

Unit conversions, area and perimeter, angle measurement and additive angles, elapsed time, and line plots with fractional measurements.

10%

Geometry (4.G)

Lines and angles, parallel and perpendicular lines, classifying triangles and quadrilaterals, and lines of symmetry.

8%

Problem Solving, Reasoning & Modeling (Claims 2-4)

Applying mathematics to real-world problems, constructing and critiquing arguments, and modeling and analyzing data across grade-4 content.

Preparing for the SBAC Grade 4 Math Exam

What You Need to Know

  • Passing score: Grade 4 mathematics uses four achievement levels on a vertical scale; Level 3 'Standard Met' begins at scale score 2485 and Level 4 'Standard Exceeded' begins at 2549.
  • Exam length: 100 questions
  • Time limit: About 1 hour 30 minutes for the computer-adaptive section plus roughly 1 hour for the performance task; the test is effectively untimed and additional time is allowed as needed.
  • Exam / certification fees: No cost to students or families; the assessment is state-funded for public schools in Smarter Balanced member states and territories. Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

SBAC Grade 4 Math: Suggested Study Strategy

1Build fluency with multi-digit multiplication and long division, since base-ten operations are a large part of the test.
2Practice fraction equivalence, comparison, and adding and subtracting fractions with like denominators using visual models.
3Memorize key unit conversions such as feet to inches, meters to centimeters, hours to minutes, and kilograms to grams.
4Work multistep word problems carefully and decide what to do with remainders before choosing an answer.
5Practice measuring and adding angles and finding area and perimeter of rectangles using the correct formulas.
6Get comfortable with the online tools by trying drag-and-drop, equation-entry, and table fill-in practice items before test day.

Frequently Asked Questions

What is the SBAC Grade 4 Math assessment?

It is the Smarter Balanced Grade 4 Mathematics Summative Assessment, an online computer-adaptive test plus a performance task that measures how well fourth graders meet the Common Core State Standards in math.

Does the SBAC math test cost anything?

No. The Smarter Balanced assessment is funded by member states as part of their accountability systems, so it is free to students and families in participating public schools.

What math topics are on the Grade 4 test?

Grade 4 covers multi-digit multiplication and division, place value, fraction equivalence and addition and subtraction, decimal notation, factors and multiples, angles, lines, and area and perimeter.

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. About half the test assesses Claim 1, and Claims 2 and 4 are reported together.

How is the Grade 4 math test scored?

Scores are reported on a vertical scale of about 2000 to 3000 with four achievement levels. For Grade 4 math, Level 3 'Standard Met' begins at scale score 2485 and Level 4 begins at 2549.

What kinds of questions appear on the test?

Besides multiple-choice, students see drag-and-drop, hot-spot, table fill-in, equation-entry, and short performance-task items that ask them to solve, explain, and model with mathematics.