Practice Test: Math Skills
Key Takeaways
- This practice set simulates the OAR Math Skills Test with 30 questions covering all tested math topics.
- Time yourself: aim for 40 minutes total, approximately 80 seconds per question.
- Work without a calculator to simulate actual test conditions.
- After completing, review every question — even ones you got right — to reinforce the concepts.
- Track which topic areas you miss most and allocate extra study time to those areas.
Set a timer for 40 minutes and work through these 30 questions without a calculator. This simulates the actual OAR Math Skills Test conditions.
Instructions
- No calculator allowed
- Choose the best answer from the four options
- Manage your time — approximately 80 seconds per question
- Answer every question (no penalty for guessing beyond getting it wrong)
- Do not go back to change answers (simulating the adaptive format)
How to Use This Practice Set
Treat these questions as an active-recall checkpoint for Practice Test: Math Skills, not as a reading assignment. Answer the full set before looking at explanations, then mark each miss by skill area, rule, or service name. For every wrong answer, write the reason the correct option wins and why one tempting distractor fails. That habit matters because real exam questions often test the same concept with different wording. If you miss several questions from the same domain, pause and reread that chapter before continuing.
A strong final review loop is: timed attempt, explanation review, targeted reread, then a second attempt after a short break.
Review Routine
After you finish this set, make a three-column log: topic, missed rule, and the clue you should have noticed. Retake only missed questions the next day, then mix them with new questions so you do not memorize order. For calculations or scenario rules, say the first step aloud before choosing an option; that prevents rushing into a familiar but wrong answer.
What is the value of 3² + 4² - 2(3)(4)?
A uniform sells for $45 after a 25% discount. What was the original price?
Simplify: (2x³y²)³
If f(x) = 3x - 7, what is f(5)?
What is the area of a circle with diameter 10 cm? (Use π ≈ 3.14)
Solve: 2(3x - 1) + 4 = 5x + 8
A platoon of 36 soldiers is divided into teams with a ratio of 5:4. How many are in the larger team?
What is the slope of the line passing through points (2, 5) and (6, 13)?
If 3/8 of a fuel tank holds 120 gallons, what is the full capacity?
What is √(144) + √(81)?
A ship travels 45 nautical miles in 1.5 hours, then 75 nautical miles in 2.5 hours. What is the average speed for the entire trip?
Solve for x: x² - 5x - 14 = 0
What is 15% of 240?
A triangle has sides 5, 12, and 13. What type of triangle is it?
What is the probability of rolling an even number on a standard die?
The average of five numbers is 84. If one number is removed, the average of the remaining four is 80. What number was removed?
Simplify: (x² - 9) / (x + 3)
A cylindrical tank has a radius of 4 feet and a height of 10 feet. What is its volume? (Use π ≈ 3.14)
If a = 3 and b = -2, what is the value of 2a² - 3ab + b²?
Two trains leave the same station at the same time, traveling in opposite directions. One goes 50 mph and the other 70 mph. How far apart are they after 2 hours?
What is 7/8 expressed as a decimal?
What is the perimeter of a rectangle with length 3x + 2 and width 2x - 1?
What is the least common multiple (LCM) of 12 and 18?
A store offers 30% off, then an additional 20% off the sale price. What is the total discount from the original?
Solve the inequality: 3x - 7 > 2x + 5
What is the surface area of a cube with side length 6 cm?
If the radius of a circle is doubled, by what factor does the area increase?