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.
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
Is there an SBAC grade 7 math practice test?
Yes. Smarter Balanced offers free official practice and training tests online that use the same interface as the real 7th grade test, and extra sample questions help too. A typical item: a laptop’s price drops 10% to $360, so the original price is 360 ÷ 0.9 = $400. Have your child take the practice test on a computer to get comfortable with the on-screen tools.
What is the SBAC 7th grade math performance task?
The performance task is a longer, multi-part problem set in a real-world situation, such as planning a class trip budget or comparing phone plans. Students answer several connected questions and explain their reasoning, and each part can earn partial credit. Encourage your 7th grader to show every step and label units, since clear work earns points even if a final answer slips.
Is there a CAASPP 7th grade math practice test?
Yes. CAASPP is California’s testing program, and its 7th grade math test is the Smarter Balanced assessment, so the official Smarter Balanced practice tests apply. California families can find them through the CAASPP website. Practice unit rates and proportions especially: if 6 pounds of apples cost $9, the unit rate is 9 ÷ 6 = $1.50 per pound.
What is on the Smarter Balanced 7th grade math test?
The Smarter Balanced 7th grade math test covers ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability. It has a computer-adaptive section, where questions adjust to your child’s answers, plus a performance task. Results use four achievement levels, and Levels 3 and 4 show your child meets or exceeds the grade 7 standards.
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.
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