The Complete SBAC Math Practice Test Guide: Maximize Your Child's Math Scores [2025]

Understanding SBAC Math Assessment

The Smarter Balanced Assessment Consortium (SBAC) Mathematics Assessment isn't just another standardized test—it's a comprehensive evaluation designed to measure your child's mathematical reasoning, problem-solving abilities, and conceptual understanding. Unlike traditional tests that focus on memorized procedures, SBAC emphasizes mathematical practices that mirror real-world problem-solving.

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“Too many students feel stuck in SBAC Math because they haven’t seen enough word problems in context. I’ve helped students overcome math anxiety and boost their scores by practicing smarter—not harder. The key? Realistic practice and step-by-step breakdowns.”

Ariav, SBAC Test expert for TestPrep-Online

What is the SBAC Math Test? [Essential Overview]

The SBAC Math assessment is meticulously designed to measure students' progress toward Common Core mathematical standards. This isn't about memorization—it's about demonstrating authentic mathematical thinking that translates to real-world applications.

What makes this assessment particularly powerful is its adaptive format. As students progress through the test, the difficulty adjusts based on their performance, providing a more accurate picture of each student's capabilities than fixed-format assessments.

In the SBAC Math Test, a claim is a broad area of math skills that students are expected to demonstrate. There are four main claims for math:

  • Concepts and Procedures – Using math facts and methods accurately.
  • Problem Solving – Solving real-world and mathematical problems.
  • Communicating Reasoning – Explaining and justifying your math thinking.
  • Modeling and Data Analysis – Using math to represent and analyze real situations.

In simple terms, a claim tells what type of math skill the question is checking. 

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SBAC Math Test Structure: What Parents Need to Know

Computer Adaptive Test (CAT)

The SBAC Math Test is taken on a computer, and it adapts to you. If you answer questions correctly, the next ones will be harder. If you get questions wrong, they’ll get a little easier. This helps show what you really know and can do in math.

Performance Tasks (PTs)

In addition to the regular test, there’s a special part called the Performance Task. In this section, you solve a real-life math problem step by step. These problems test how well you can:

  • Use what you’ve learned in math
  • Think deeply and explain your ideas
  • Solve problems in more than one way

For grades 3–5, a performance task usually has 4–6 questions. Some are checked by the computer, and some are scored by teachers. This format is also reflected in the SBAC ELA Test.

SBAC Math Practice Test Questions-5th Grade

SBAC Math Practice Test - Sample Question 1

Mr. Jones has 6 loaves of bread. He cuts each loaf into 4 equal pieces. How many pieces of bread will Mr. Jones have? If he sells 2/3 of these pieces, how many pieces will he sell?

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Correct Answer: B. 16

This problem teaches you to break complex multi-step problems into manageable pieces—a skill you'll use throughout mathematics and life.
Step 1: Find total pieces

6 loaves × 4 pieces per loaf = 24 total pieces
Key insight: When something is done to "each" item, you multiply.

Step 2: Calculate fraction of the whole

Find 2/3 of 24 pieces
Method: 24 × 2 ÷ 3 = 48 ÷ 3 = 16 pieces sold

The "Why" Behind the Math:
Understanding fractions as operators (instructions for calculation) is crucial. The fraction 2/3 tells you: "Take 2 parts out of every 3 equal parts." This concept appears everywhere—from calculating tips and discounts to understanding statistics and probability.

(SBAC Standard: 5.NF.B.4)

TestPrep-Online Tutor's Tip:

"I always tell my students to use the "parts method" for fraction problems. Imagine dividing 24 pieces into 3 equal groups of 8. If Mr. Jones sells 2 out of those 3 groups, he sells 16 pieces. This visualization makes fractions concrete rather than abstract, and you can apply this thinking to any fraction problem you encounter."

SBAC Math Practice Test- Sample Question 2

What is the volume of a rectangular prism with a length of 10 inches, a width of 6 inches, and a height of 4.3 inches?

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Correct Answer: A. 258 cubic inches

Imagine you're building a box with blocks. To find out how many blocks would fit inside, you need to find the volume.

  • For a rectangular prism (box shape), we use the formula: Volume = length × width × height

You're calculating how many unit cubes (1×1×1 inch cubes) would fit inside this box. Think of it as building with LEGO blocks—first you make a layer (10×6 = 60 blocks), then you stack 4.3 layers high.

  • We have:
    • Length = 10 inches
    • Width = 6 inches
    • Height = 4.3 inches
  • Let's multiply step by step:
    • First, length × width: 10 × 6 = 60
    • Then, multiply by height: 60 × 4.3 = 258
    • So the volume is 258 cubic inches

Think of it this way: You could fit 258 one-inch cubes inside this box!

Explanation: We use the formula for volume: V = l × w × h. So, 10 × 6 = 60, then 60 × 4.3 = 258 cubic inches. Real math lives in practical contexts—constructing space, architecture, and design—all starting with understanding volume.

The Real-World Connection:
Every time you pack a suitcase, fill a storage container, or wonder if furniture will fit in a room, you're using volume thinking. Understanding volume helps you estimate quantities, compare container sizes, and solve practical problems.

(Standard: 5.MD.C.5)

TestPrep-Online Tutor's Tip:

"I teach my students the "layer method" for visualizing volume. First, find the area of the base (length × width = 60 square inches). This tells you how many unit cubes fit in one layer. Then multiply by the height (4.3) to see how many layers you can stack. This method connects 2D area concepts to 3D volume, making the jump from flat shapes to solid shapes much clearer."

SBAC Math Practice Test- Sample Question 3

With what number must 4.8932 be multiplied to obtain the number 48,932?

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Correct Answer: C. 10000

Explanation:

This question is asking: "What do I multiply 4.8932 by to get 48,932?"
Let's look at how the numbers are different:

In 4.8932, the decimal point is after the 4
In 48,932, there's no decimal point (which means it's after the last 2)
So the decimal point moved 4 places to the right:

4.8932 → 48.932 → 489.32 → 4893.2 → 48932

When a decimal point moves to the right, we're multiplying by powers of 10:

Move 1 place right: multiply by 10
Move 2 places right: multiply by 100
Move 3 places right: multiply by 1,000
Move 4 places right: multiply by 10,000

The Mental Math Shortcut:
Count the zeros in the multiplier to know how many places the decimal moves. 10,000 has 4 zeros, so the decimal moves 4 places right

Let's check our answer: 4.8932 × 10,000 = 48,932 ✓
Another way to check is by dividing: 48,932 ÷ 4.8932 = 10,000 ✓
So the correct answer is C. 10000.

(SBAC Standard: 5.NBT.A.2 )

TestPrep-Online Tutor's Tip:

"I teach students to think of the decimal point as a "sliding door" in our number system. When you multiply by powers of 10, you're sliding that door to the right—each zero in your multiplier slides it one more place. This mental model works for division too (sliding left). Once you master this concept, unit conversions in science, currency exchange, and data interpretation become much more intuitive."

SBAC Math Practice Test- Sample Question 4

A box contains 44 books. 3/4 of the books are fiction. Of those, 2/3 are novels. How many novels are in the box?

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Correct Answer: A. 22

Let's solve this step-by-step:

First, we need to find how many fiction books there are:

We have 44 books total
3/4 of the books are fiction
To find 3/4 of 44: 44 × 3 = 132, then 132 ÷ 4 = 33
So there are 33 fiction books

Next, we need to find how many of the fiction books are novels:

2/3 of the fiction books are novels
To find 2/3 of 33: 33 × 2 = 66, then 66 ÷ 3 = 22
So there are 22 novels

Let's double-check our work:

Total books: 44
Fiction books: 33 (3/4 of 44)
Novels: 22 (2/3 of 33)
Non-novels: 11 (33 - 22)
Non-fiction: 11 (44 - 33)

So out of 44 books, 22 are novels. That's our answer!

The Key Insight:
You're finding a "fraction of a fraction." This teaches you that mathematical operations can be chained together, and each step builds on the previous result.
Real-World Applications:
This type of thinking appears constantly: "30% of students play sports, and 40% of those play basketball" or "60% of your budget goes to essentials, and 25% of that goes to food." You're learning to navigate complex, layered information.

(SBAC Standard: 5.NF.B.6)

TestPrep-Online Tutor's Tip:

"I always have my students draw what I call a "fraction tree" for problems like this. Start with the whole (44 books), branch into the first division (fiction vs. non-fiction), then branch again (novels vs. other fiction). This visual approach prevents you from getting lost in the calculations and helps you see the logical structure of complex problems. You'll use this same thinking pattern in algebra, statistics, and even when analyzing news articles or making financial decisions."

Practice makes perfect—and we make practice easy.

Check out these free SBAC-style ELA sample questions for Grades 3–8 practice from other popular assessments:

 

SBAC Math Practice Test- Sample Question 5

Danny calculated 1.2 × 0.3 = 0.36. What mistake did Danny make?

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Correct Answer: D. She didn’t make a mistake; 0.36 is correct

Let's check Danny's work step by step:

She calculated 1.2 × 0.3 = 0.36
Let's verify by multiplying without the decimal points first:

12 × 3 = 36


Now we need to place the decimal point correctly:

1.2 has 1 decimal place (one digit after the decimal)
0.3 has 1 decimal place (one digit after the decimal)
Together, that's 2 decimal places
So in our answer 36, we need to move the decimal point 2 places from the right: 36 → 3.6 → 0.36


That gives us 0.36, which matches Danny's answer!

Danny's calculation is correct!

Why Verification Matters:
In real life, mathematical errors can be costly. Learning to check your work systematically prevents mistakes in everything from calculating tips to managing finances to analyzing data.
The Reasonableness Check:
Ask yourself: "Does this make sense?" 1.2 × 0.3 should be less than 1.2 × 1, which is 1.2. Our answer of 0.36 passes this test.

(SBAC Standard: 5.NBT.B.7)

TestPrep-Online Tutor's Tip:

"I teach my students the "decimal dance"—a systematic way to handle decimal multiplication. First, ignore the decimals and multiply normally. Then, count the total decimal places in both numbers you multiplied. Finally, put the decimal point that many places from the right in your answer. This method eliminates guesswork and builds reliable calculation habits. I also emphasize the "reasonableness check"—always ask if your answer makes sense in the context of the problem. This double-checking habit will serve you well in advanced math and in life.."

SBAC Math Practice Test- Sample Question 6

A rectangular garden has a length of 8 1/2 feet and a width of 3 3/4 feet. What is the area in square feet?

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Correct Answer: A. 31 7/8

To find the area of a rectangle, we multiply length × width. But we have mixed numbers (whole numbers with fractions), so let's take it step by step:

First, let's convert the mixed numbers to improper fractions:

8 1/2 = (8 × 2 + 1)/2 = 17/2
3 3/4 = (3 × 4 + 3)/4 = 15/4

Now let's multiply these fractions:

Area = (17/2) × (15/4)
Area = (17 × 15)/(2 × 4)
Area = 255/8

Let's convert back to a mixed number:

255 ÷ 8 = 31 with remainder 7
So 255/8 = 31 7/8

Our answer is 31 7/8 square feet

You can picture this as a rectangle that's a little more than 8 feet long and a little less than 4 feet wide. An area of around 32 square feet makes sense!

Why This Method Works:
Improper fractions eliminate the complexity of working with whole numbers and fractions simultaneously. This technique scales up to more complex calculations and algebraic work.
The Geometric Visualization:
Picture the garden as a grid. The length covers 8 full units plus half a unit. The width covers 3 full units plus three-quarters of a unit. The area represents how many square units would tile this space.

(SBAC Standard: 5.NF.B.4)

TestPrep-Online Tutor's Tip:

"I always tell my students that when working with mixed numbers in multiplication, converting to improper fractions first is like "clearing the clutter" from your workspace. It makes the calculation cleaner and reduces errors. Here's my memory trick: when you see mixed numbers that need to be multiplied, think "convert first, calculate second, convert back third." This systematic approach works for any fraction multiplication problem and builds the foundation for algebraic fraction work you'll encounter later. Plus, understanding area calculations with fractions prepares you for real-world applications like home improvement projects, gardening, and any situation where you need to calculate space or materials."

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Calculator and Non-Calculator Sections

Calculator availability varies by grade level on the SBAC math assessment:

  • Grades 3-5: Students are not permitted to use calculators for any session of the test.
  • Grade 6: Students have access to an embedded online four-function calculator during designated Calculator Available sections.
  • Grades 7-8: Students have access to an embedded online scientific calculator during designated Calculator Available sections.
  • High School: Students have access to embedded online calculators with scientific, regression, and graphing capabilities during designated Calculator Available sections.

External calculators are not allowed on the test, so students should practice using the approved embedded calculators before test day.


Time Allocations by Grade Level

Grade Level 

CAT Questions 

PT Questions 

Total Questions 

CAT Time 

PT Time 

Total Time 

Grades 3–5 

31–34 

4–6 

35–40 

90 min 

60 min 

150 min (2h 30m) 

Grades 6–8 

30–34 

4–6 

34–40 

120 min 

60 min 

180 min (3h) 

Grade 11 

30–34 

4–6 

34–40 

120 min 

90 min 

210 min (3h 30m) 

SBAC Scoring System and Achievement Levels

The SBAC assessments provide scores across three claim areas (Concepts and Procedures, Problem Solving/Modeling and Data Analysis, and Communicating Reasoning). Student performance is evaluated based on achievement levels that indicate their progress toward college and career readiness standards. These scores help educators and parents understand a student's strengths and areas for improvement in mathematics.


Grade-Level SBAC Math Skills: What's Tested When


Math Question Types

The SBAC math assessment utilizes a variety of question formats to measure different aspects of mathematical understanding:

Students select one correct answer from several options. These questions often assess conceptual understanding and procedural fluency


Students must select all correct answers from given options. These questions require deeper analysis and evaluation of multiple mathematical statements


Students match items in a table format, often connecting mathematical concepts, properties, or representations


Students use drag-and-drop functionality to place objects in the correct positions, such as plotting points on a coordinate plane or organizing shapes by their properties


Students enter numerical answers or mathematical expressions directly into provided fields


Students use digital tools to construct mathematical equations or expressions as their responses


Students plot points, draw lines, or create other graphical representations on a coordinate plane


Multi-step problems that require students to apply knowledge and skills to solve complex, real-world scenarios. These tasks typically include multiple related questions and may require students to explain their reasoning


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Proven SBAC Math Practice Test Strategies That Work

Math-Specific Test Preparation Strategies

  • Practice regularly with a variety of problem types to build familiarity with the different question formats on the SBAC Math Test
  • Focus on conceptual understanding rather than just memorizing procedures. The SBAC Math Assessment emphasizes understanding "why" mathematical procedures work.
  • Develop strong problem-solving skills by working through complex, multi-step problems that require application of multiple concepts
  • Practice explaining mathematical reasoning in writing, as some questions require students to justify their solutions

How to Approach Different Question Types

  • For multiple-choice questions: Read carefully, eliminate obviously incorrect answers, and solve the problem completely rather than looking for shortcuts
  • For technology-enhanced items: Practice with drag-and-drop, graphing, and equation editor tools before test day to ensure comfort with these interfaces
  • For performance tasks: Read the entire task before beginning, plan your approach, organize your work logically, and check that you've answered all parts of the question

Time Management for Math Sections

  • Allocate time based on point values - spend more time on higher-point questions.
  • Don't get stuck on difficult problems - mark them for review and come back if time permits
  • Pace yourself throughout the test to ensure you have sufficient time for all questions

Frequently Asked Questions About SBAC Math Testing

Calculator allowance depends on grade level. Students in grades 3-5 are not permitted to use calculators for any portion of the test. Students in grades 6-11 have access to embedded calculators during specified Calculator Available sections only


The estimated testing time varies by grade level. For grades 3-5, the Math CAT portion is about 40-60 minutes, and the Math PT is about 60 minutes. For grades 6-11, the Math CAT portion is about 60 minutes, and the Math PT is about 60 minutes. However, the tests are not timed, so students can take the time they need to complete them


The SBAC math test includes multiple question types: multiple-choice, multiple-select, matching tables, drag-and-drop, fill-in-the-blank, equation/expression editor, graphing items, and performance tasks


SBAC math tests are scored using a combination of machine scoring and hand scoring. Multiple-choice and technology-enhanced items are typically machine-scored, while constructed-response items and performance tasks may be hand-scored. Students receive an overall mathematics score as well as scores for specific claim areas.


The SBAC math assessment is administered to students in grades 3-8 and once in high school (typically grade 10 or 11), depending on the state


Yes, the SBAC provides a range of accessibility resources, designated supports, and accommodations for students with disabilities or special needs. These are detailed in the Smarter Balanced Assessment Consortium: Usability, Accessibility, and Accommodations Guidelines