7th Grade SBAC Math FREE Sample Practice Questions
TL;DR: Smarter Balanced is the test for 7th graders in California, Washington, Oregon, Hawaii, Idaho, Nevada, Connecticut, Delaware, Vermont, South Dakota, and Montana. The math content hits proportional relationships, rational-number operations, two-step equations and inequalities, geometry (circles and prisms), and probability. These free sample questions show what your 7th grader will actually face on test day, so the format becomes familiar long before it matters.
Key takeaways:
- SBAC is an adaptive Common Core-aligned test used by many states for grades 3-8 and 11.
- 7th grade math topics: proportional reasoning, rational-number arithmetic, two-step equations, circle geometry, probability.
- Test includes a computer-adaptive portion plus a performance task.
- Calculator allowed on most items, prohibited on some early items.
- Four achievement levels: Levels 3 and 4 indicate on-grade-level proficiency.
Start preparing your student for the 2026 SBAC Math test with our free sample practice questions. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.
The Absolute Best Book to Ace 7th Grade SBAC Math Test
10 Sample 7th Grade SBAC Math Practice Questions
1- A chemical solution contains \(4\%\) alcohol. If there is 24 ml of alcohol, what is the volume of the solution?
A. 240 ml
B. 480 ml
C. 600 ml
D. 1200 ml
2- The price of a laptop is decreased by \(10\%\) to $360. What is its original price?
A. 320
B. 380
C. 400
D. 450
3- What is the median of these numbers? \(4, 9, 13, 8, 15, 18, 5\)
A. 8
B. 9
C. 13
D. 15
4- Three times the price of a laptop is equal to five times the price of a computer. If the price of the laptop is $200 more than a computer, what is the price of the computer?
A. 300
B. 500
C. 800
D. 1500
5- What is the perimeter of a square that has an area of 595.36 feet?
6- Jason is 9 miles ahead of Joe, running at 5.5 miles per hour, and Joe is running at the speed of 7 miles per hour. How long does it take Joe to catch Jason?
A. 3 hours
B. 4 hours
C. 6 hours
D. 8 hours
7- 55 students took an exam, and 11 of them failed. What percent of the students passed the exam?
A. \(20 \%\)
B. \(40 \%\)
C. \(60 \%\)
D. \(80 \%\)
8- Jason needs an \(75\%\) average in his writing class to pass. On his first 4 exams, he earned scores of \(68\%, 72\%, 85\%,\) and \(90\%\). What is the minimum score Jason can earn on his fifth and final test to pass?
9- A bank is offering \(3.5\%\) simple interest on a savings account. If you deposit $12,000, how much interest will you earn in two years?
A. $420
B. $840
C. $4200
D. $8400
10- 5 less than twice a positive integer is 83. What is the integer?
A. 39
B. 41
C. 42
D. 44
Best 7th Grade SBAC Math Workbook Resource for 2026
Answers:
1- C
\(4\%\) of the volume of the solution is alcohol. Let \(x\) be the volume of the solution.
Then: \(4\% \space\) of \(\space x = 24 \space \)ml \(⇒ 0.04 x = 24 ⇒ x = 24 ÷ 0.04 = 600\)
2- C
Let \(x\) be the original price.
If the price of a laptop is decreased by \(10\%\) to $360, then:
\(90 \%\) of \(x=360 ⇒ 0.90x=360 ⇒ x=360÷0.90=400\)
3- B
Write the numbers in order:
\(4, 5, 8, 9, 13, 15, 18\)
Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 9.
4- A
Let L be the price of a laptop and C be the price of a computer.
\(3\)(L) \(=5\)(C) \(\space\) and \(\space\) L \(= $200 +\) C
Therefore, \(3($200 +\) C\()=5\)C \(⇒ $600 + 3\)C \(= 5\)C \(⇒\) C\(=$300\)
5- 97.6
Use the area of a square formula.
\(S = a^2 ⇒ 595.36 = a^2 ⇒ a = 24.4\)
Use the perimeter of a square formula.
\(P = 4a ⇒ P=4(24.4) ⇒ P = 97.6\)
6- C
The distance between Jason and Joe is 9 miles. Jason is running at 5.5 miles per hour, and Joe is running at the speed of 7 miles per hour. Therefore, every hour, the distance is 1.5 miles less.
\(9 ÷ 1.5 = 6\)
7- D
The failing rate is 11 out of \(55 = \frac{11}{55}\).
Change the fraction to a percent:
\(\frac{11}{55} ×100\%=20\%\)
20 percent of students failed. Therefore, 80 percent of students passed the exam.
8- 60
Jason needs a \(75\%\) average to pass for five exams. Therefore, the sum of 5 exams must be at least \(5 × 75 = 375\)
The sum of 4 exams is:
\(68 + 72 + 85 + 90 = 315\)
The minimum score Jason can earn on his fifth and final test to pass is:
\(375 – 315 = 60\)
9- B
Use the simple interest formula:
I=prt
(I = interest, p = principal, r = rate, t = time)
I\(=(12000)(0.035)(2)=840\)
10- D
Let \(x\) be the integer. Then:
\(2x – 5 = 83\)
Add 5 both sides: \(2x = 88\)
Divide both sides by \(2: x = 44\)
Looking for the best resource to help you succeed on the SBAC Grade 7 Math test?
The Best Books to Ace the 7th Grade SBAC Math Test
Common Core Math Exercise Book for Grade 7 Student Workbook and Two Realistic Common Core Math Tests
Frequently Asked Questions
What is the SBAC test?
Smarter Balanced Assessment Consortium (SBAC) is a Common Core-aligned, computer-adaptive state test for grades 3-8 and 11. Used by California, Washington, Oregon, Hawaii, Idaho, Nevada, Connecticut, Delaware, Vermont, South Dakota, Montana, and others.
Which math topics matter most on 7th grade SBAC?
Proportional relationships, all four operations on rational numbers, two-step equations and inequalities, scale drawings, circumference and area of circles, volume of prisms, probability of compound events.
How long is the 7th grade SBAC math test?
About 2 hours for the computer-adaptive portion, plus a 30-60 minute performance task. Schools typically spread testing across multiple days.
Is the SBAC adaptive?
The computer-adaptive portion adjusts difficulty based on prior answers. The performance task is fixed and asks students to work a multi-step real-world problem.
Are calculators allowed on 7th grade SBAC?
Yes, the embedded online calculator is available on most items. Some early items are calculator-prohibited.
What are the achievement levels?
Four levels (1 through 4). Levels 3 and 4 indicate the student is at or above grade-level proficiency.
How do I solve a percent-of-change problem?
Percent change = (change / original) times 100%. A price moving from 60 to 75 has change 15, so percent change = 25% increase.
What is the area of a circle?
A = pi r^2. With r = 5 and pi = 3.14: A = 3.14 times 25 = 78.5 square units. Always square the radius, not the diameter.
How is the performance task scored?
On a multi-part rubric. Each part awards partial credit. Always show every step of your work and answer every part — partial credit is real points.
How should we prepare?
Take one full-length practice test in realistic conditions. Score it. Review every miss with the concept named.
Related Lessons You May Like
- How to add and subtract integers
- How to solve proportional ratios
- How to solve percent of change
- How to solve one-step equations
- How to solve multi-step word problems
If you want a workbook for these questions, Mastering Grade 7 Math covers every Grade 7 standard. Mastering Grade 7 Math Word Problems is a strong companion.
Related to This Article
More math articles
- How to Support Grade 7 Reading at Home: 12 Smart Strategies That Build Independence
- ISEE Upper-Level Math FREE Sample Practice Questions
- Introduction to Matrix Inverse
- Ohio OST Grade 7 Math Worksheets: 95 Free Printable PDFs with Step-by-Step Answer Keys
- The Best Grade 4 Math Book for Missouri Students
- 10 Most Common ISEE Middle-Level Math Questions
- How to Verify Inverse Functions by Composition?
- The Importance Of Mathematics For Students Pursuing STEM
- How to Perform Operations of Positive and Negative Decimals
- Top 10 4th Grade FSA Math Practice Questions
What people say about "7th Grade SBAC Math FREE Sample Practice Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.