7th Grade OST Math FREE Sample Practice Questions

Start preparing your student for the 2026 OST 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.

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Common Core Math Exercise Book for Grade 7 Student Workbook and Two Realistic Common Core Math Tests

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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 OST Math Workbook Resource for 2026

Answers:

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 laptop and C be the price of 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 lease \(5 × 75 = 375\)
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 \(2: x = 44\)

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Frequently Asked Questions

Is there an Ohio 7th grade math practice test?

Yes. Ohio’s Department of Education and Workforce posts free online practice tests for the Ohio State Test on its testing portal, and they use the same tools students see on test day. Work through one with your 7th grader, then add paper practice on percents, proportions and equations, such as finding that 44 out of 55 students passing is 80%.

Is there a reference sheet for the Ohio State Test 7th grade math?

Ohio publishes math reference sheets for its state tests, so check the Ohio’s State Tests portal for the current grade 7 sheet and the formulas it lists. Have your child practice with that exact sheet so they know where each formula sits. They should still know common ones by heart, such as circle area A = πr² and circumference C = 2πr.

Are there released questions for the 7th grade Ohio State Test in math?

Yes. Ohio releases a portion of its state test questions after testing, along with scoring information, on the Ohio’s State Tests portal. Released 7th grade math items show the real wording and item types, such as multi-select and equation-entry questions. Use them after your child has practiced the basics, and talk through why each wrong option is tempting.

What is on the Ohio 7th grade math test blueprint?

The test blueprint shows how points are spread across Ohio’s grade 7 math domains: ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability. Proportional reasoning and equations are central to grade 7. Check the current blueprint on the state testing portal and use it to decide which topics deserve the most review time.

How can my child review for the 7th grade Ohio State math test?

Review in short, mixed sets rather than one topic at a time, because the Ohio State Test mixes topics. Include averages: if Jason needs a 75% average over five exams and has 68, 72, 85 and 90, he needs 375 − 315 = 60 on the fifth. Keep a list of missed problems and redo them a week later.

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 that lines up with these questions one chapter at a time, Mastering Grade 7 Math covers every Grade 7 standard with patient explanations. For extra word-problem reps, Mastering Grade 7 Math Word Problems is a strong companion.