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.

The Absolute Best Book to Ace the 7th Grade OST Math Test

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

Download

$29.99 Original price was: $29.99.$16.99Current price is: $16.99.

Rated 4.15 out of 5 based on 40 customer ratings

Satisfied 30 Students

p>

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

Common Core Mathematics Workbook For Grade 7 Step-By-Step Guide to Preparing for the Common Core Math Test 2019

Download

$29.99 Original price was: $29.99.$16.99Current price is: $16.99.

Rated 4.40 out of 5 based on 144 customer ratings

Satisfied 131 Students

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 \(2: x = 44\)

Looking for the best resource to help you succeed on the OST Grade 7 Math test?

The Best Books to Ace the 7th Grade OST Math Test

Frequently Asked Questions

What is the OST?

The Ohio State Test (OST) is Ohio’s annual state assessment for English language arts, math, and (in select grades) science and social studies. The math test for grade 7 covers Ohio’s Learning Standards, which are aligned to the Common Core.

Which math topics show up most on the 7th grade OST?

Proportional relationships (including the constant of proportionality), all four operations on rational numbers, two-step equations and inequalities, percent of change, scale drawings, circumference and area of circles, volume of prisms, and probability of simple and compound events.

How long is the 7th grade OST math test?

About 90-120 minutes, split across two parts. Part 1 is calculator-prohibited; Part 2 allows the embedded online scientific calculator.

Are calculators allowed on the 7th grade OST?

Yes, on Part 2 only. Part 1 is non-calculator. Practice in both modes so the switch on test day is not a distraction.

What is the passing score?

OST reports five performance levels: Limited, Basic, Proficient, Accelerated, and Advanced. Proficient and above indicates the student is on track for the next grade.

How do I solve a percent-of-change problem?

Percent change = (change / original) times 100%. A price going from 60 to 75 has change = 15, percent change = 15/60 = 25%. For markups or markdowns, the sign indicates the direction (increase vs decrease).

How is the constant of proportionality tested?

Most often as a one-step calculation. You are given a table or graph showing a proportional relationship and asked for k such that y = kx. Compute k = y/x for any pair.

How do I find the volume of a triangular prism?

V = (1/2)(base)(height) times length, where the triangular face has the given base and height and the prism has the given length. Alternative form: V = area-of-triangle times length-of-prism.

How is probability of a compound event computed?

Use a sample space (table, list, or tree diagram) to count favorable outcomes and total outcomes. For independent events, you can also multiply individual probabilities: P(A and B) = P(A) times P(B).

How should we prepare?

Take one full-length practice test in realistic conditions. Review every wrong answer by naming the underlying concept and writing one sentence about what to do differently. Then target the 2-3 topics where misses cluster.

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.