100+ Free SBAC Math Grade 5 Practice Questions

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Question 1

Score: 0/0

A line plot shows lengths measured in 1/4-inch units. Two items measure 3/4 inch and one item measures 1/2 inch. What is the total length of these three items?

2 1/4 inches

1 1/2 inches

2 inches

1 3/4 inches

to track

2026 Statistics

Key Facts: SBAC Math Grade 5 Exam

SBAC Mathematics Grade 5 is a free, online, computer-adaptive Common Core test built on four claims, focusing on decimal and fraction operations, volume, and the coordinate plane, with Level 3 marking the standard met.

Sample SBAC Math Grade 5 Practice Questions

Try these sample questions to test your SBAC Math Grade 5 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Evaluate the expression: 3 × (4 + 6).

A.30

B.18

C.42

D.13

Explanation: Follow the order of operations: do the work inside the parentheses first. 4 + 6 = 10, then multiply by 3 to get 3 × 10 = 30.

2What is the value of 8 + 2 × 5?

A.50

B.40

C.15

D.18

Explanation: Multiplication is done before addition in the order of operations. First 2 × 5 = 10, then 8 + 10 = 18.

3Which expression represents 'add 9 and 6, then multiply the result by 4'?

A.4 × 9 + 6

B.9 + 6 × 4

C.4 × (9 + 6)

D.(4 × 9) + 6

Explanation: The words 'add 9 and 6' must happen first, so 9 + 6 goes in parentheses. Then the whole sum is multiplied by 4, giving 4 × (9 + 6).

4Evaluate: 24 ÷ (8 − 2).

A.1

B.4

C.22

D.16

Explanation: Work inside the parentheses first: 8 − 2 = 6. Then divide: 24 ÷ 6 = 4.

5Evaluate the expression: 2 × [15 − (3 + 4)].

A.26

B.16

C.20

D.8

Explanation: Start with the innermost grouping: 3 + 4 = 7. Next 15 − 7 = 8. Finally 2 × 8 = 16.

6Without calculating, which statement about 3 × (642 + 198) is true?

A.It is 3 times as large as 642 + 198

B.It is 3 more than 642 + 198

C.It equals 642 + 198 + 3

D.It is one-third of 642 + 198

Explanation: Multiplying a sum by 3 makes the result 3 times as large as that sum. You can interpret 3 × (642 + 198) without computing the total.

7Generate the pattern using 'Add 4' starting at 0. What are the first four terms?

A.0, 4, 16, 64

B.4, 8, 12, 16

C.0, 1, 4, 9

D.0, 4, 8, 12

Explanation: Begin at 0 and repeatedly add 4. The terms are 0, then 0+4=4, then 4+4=8, then 8+4=12.

8Pattern A uses 'Add 2' from 0; Pattern B uses 'Add 6' from 0. How do the terms of Pattern B compare to Pattern A?

A.Each B term is 3 more than the matching A term

B.Each B term equals the matching A term

C.Each B term is 3 times the matching A term

D.Each B term is half the matching A term

Explanation: Pattern A gives 0, 2, 4, 6, ... and Pattern B gives 0, 6, 12, 18, ... Because 6 is 3 times 2, every Pattern B term is 3 times the corresponding Pattern A term.

9In the number 4,444, how does the value of the digit 4 in the hundreds place compare to the 4 in the tens place?

A.It is the same

B.It is 1/10 as much

C.It is 10 times as much

D.It is 100 times as much

Explanation: Each place to the left is worth 10 times the place to its right. The hundreds-place 4 is worth 400 and the tens-place 4 is worth 40, and 400 is 10 times 40.

10What is 10 × 3.6?

A.3.06

B.36

C.0.36

D.3.60

Explanation: Multiplying a decimal by 10 shifts every digit one place to the left, so the decimal point effectively moves one place right. 3.6 × 10 = 36.

About the SBAC Math Grade 5 Exam

The Smarter Balanced Mathematics Grade 5 assessment is an online, computer-adaptive summative test aligned to the Common Core State Standards for fifth-grade mathematics. It is organized around four claims: Concepts and Procedures (Claim 1), Problem Solving (Claim 2), Communicating Reasoning (Claim 3), and Modeling and Data Analysis (Claim 4). Grade 5 content focuses on the three critical areas of operations with decimals to the hundredths, multiplying and dividing fractions, and developing an understanding of volume, along with place value, order of operations, the coordinate plane, classifying two-dimensional figures, and converting measurement units. Students answer a mix of selected-response, constructed-response, and technology-enhanced items plus a performance task that asks them to apply mathematics to a real-world scenario. Results are reported on a vertical scale in four achievement levels, with Level 3 indicating students have met the standard. The test is given each spring in member states, including California where it is delivered as part of CAASPP.

Questions

100 scored questions

Time Limit

Untimed; estimated about 1.5-2 hours for the computer-adaptive section and about 1-1.5 hours for the performance task, given across multiple sessions.

Passing Score

Scale scores range from about 2220 to 2740 for Grade 5. Level 3 (Standard Met) starts at 2528 and Level 4 (Standard Exceeded) starts at 2579; Level 3 or above indicates students are on track to meet grade-level expectations.

Exam Fee

Free to students; funded by participating states and administered through public schools. (Smarter Balanced Assessment Consortium (state education agencies; CAASPP in California))

SBAC Math Grade 5 Exam Content Outline

50%

Claim 1: Concepts and Procedures

Decimal and whole-number operations, adding/subtracting and multiplying/dividing fractions, place value and rounding, order of operations, volume, the coordinate plane, classifying figures, and measurement conversion.

17%

Claim 2: Problem Solving

Multi-step word problems drawn across Grade 5 domains, selecting strategies and tools, and interpreting solutions in real-world contexts.

17%

Claim 3: Communicating Reasoning

Justifying conclusions, critiquing the reasoning of others, identifying errors, and explaining why mathematical statements hold.

16%

Claim 4: Modeling and Data Analysis

Modeling real-world quantities, interpreting line plots and data sets, and analyzing numerical patterns and relationships.

How to Pass the SBAC Math Grade 5 Exam

What You Need to Know

Passing score: Scale scores range from about 2220 to 2740 for Grade 5. Level 3 (Standard Met) starts at 2528 and Level 4 (Standard Exceeded) starts at 2579; Level 3 or above indicates students are on track to meet grade-level expectations.
Exam length: 100 questions
Time limit: Untimed; estimated about 1.5-2 hours for the computer-adaptive section and about 1-1.5 hours for the performance task, given across multiple sessions.
Exam fee: Free to students; funded by participating states and administered through public schools.

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 5 Study Tips from Top Performers

1Master fraction operations: practice adding, subtracting, multiplying, and dividing fractions, including dividing a unit fraction by a whole number and a whole number by a unit fraction.

2Build decimal fluency by computing with decimals to the hundredths and using powers of 10 to move the decimal point correctly.

3Practice finding volume with the formulas V = length x width x height and V = base area x height, and by counting unit cubes in layers.

4Get comfortable plotting and reading points in the first quadrant of the coordinate plane, remembering that the first number moves right and the second moves up.

5Work multi-step word problems and explain your reasoning, since Claims 2 and 3 reward clear problem solving and justification, not just a final answer.

6Use the order of operations carefully with parentheses, brackets, and braces, and double-check measurement conversions within a single system.

Frequently Asked Questions

What is the SBAC Grade 5 mathematics assessment?

It is the Smarter Balanced summative test in mathematics for fifth grade, an online computer-adaptive exam aligned to the Common Core State Standards and built around four claims: Concepts and Procedures, Problem Solving, Communicating Reasoning, and Modeling and Data Analysis.

What math topics are tested in Grade 5?

Grade 5 focuses on operations with decimals to the hundredths, multiplying and dividing fractions, and volume, plus place value, order of operations, the coordinate plane, classifying two-dimensional figures, and converting measurement units.

How is the SBAC Grade 5 math test scored?

Scores fall on a vertical scale of roughly 2220-2740 for Grade 5 and are grouped into four achievement levels. Level 3 (Standard Met) begins at 2528 and Level 4 (Standard Exceeded) begins at 2579.

What kinds of questions appear on the test?

Students see selected-response (multiple-choice), constructed-response, and technology-enhanced items in the computer-adaptive section, plus a performance task that asks them to apply mathematics to an extended real-world problem.

Is there a time limit for the SBAC Grade 5 math test?

The test is untimed, but the computer-adaptive section typically takes about 1.5-2 hours and the performance task about 1-1.5 hours, usually completed across multiple sessions during the spring testing window.

How much does the SBAC Grade 5 assessment cost?

There is no cost to students or families. The assessment is funded by participating states and administered through public schools, including as part of CAASPP in California.