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.
Last updated: March 2026

Practice Test: Math Skills

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)
Test Your Knowledge

What is the value of 3² + 4² - 2(3)(4)?

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A uniform sells for $45 after a 25% discount. What was the original price?

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Simplify: (2x³y²)³

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If f(x) = 3x - 7, what is f(5)?

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What is the area of a circle with diameter 10 cm? (Use π ≈ 3.14)

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Solve: 2(3x - 1) + 4 = 5x + 8

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A platoon of 36 soldiers is divided into teams with a ratio of 5:4. How many are in the larger team?

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What is the slope of the line passing through points (2, 5) and (6, 13)?

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If 3/8 of a fuel tank holds 120 gallons, what is the full capacity?

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What is √(144) + √(81)?

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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?

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Solve for x: x² - 5x - 14 = 0

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What is 15% of 240?

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A triangle has sides 5, 12, and 13. What type of triangle is it?

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What is the probability of rolling an even number on a standard die?

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The average of five numbers is 84. If one number is removed, the average of the remaining four is 80. What number was removed?

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Simplify: (x² - 9) / (x + 3)

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A cylindrical tank has a radius of 4 feet and a height of 10 feet. What is its volume? (Use π ≈ 3.14)

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If a = 3 and b = -2, what is the value of 2a² - 3ab + b²?

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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?

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What is 7/8 expressed as a decimal?

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What is the perimeter of a rectangle with length 3x + 2 and width 2x - 1?

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What is the least common multiple (LCM) of 12 and 18?

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A store offers 30% off, then an additional 20% off the sale price. What is the total discount from the original?

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Solve the inequality: 3x - 7 > 2x + 5

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What is the surface area of a cube with side length 6 cm?

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If the radius of a circle is doubled, by what factor does the area increase?

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