Career upgrade: Learn practical AI skills for better jobs and higher pay.
Level up
PracticeVideosBlogFlashcardsEspañol
All Practice Exams

100+ Free OAT Quantitative Reasoning Practice Questions

Pass your Optometry Admission Test — Quantitative Reasoning Section exam on the first try — instant access, no signup required.

✓ No registration✓ No credit card✓ No hidden fees✓ Start practicing immediately
100+ Questions
100% Free
1 / 100
Question 1
Score: 0/0

The length of a rectangle is 4 cm more than twice its width. If the perimeter is 56 cm, what is the width?

A
B
C
D
to track
Same family resources

Explore More OAT

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

OAT (Optometry Admission Test)

Practice Questions

OAT Physics

Practice Questions

OAT Reading Comprehension

Practice Questions

OAT Survey of Natural Sciences

Practice Questions
2026 Statistics

Key Facts: OAT Quantitative Reasoning Exam

40 questions

Total Items

2026 OAT Candidate Guide, ADA/ASCO

45 minutes

Time Limit

2026 OAT Candidate Guide, ADA/ASCO

200–400

Score Scale

OAT Scoring System, ADA

~300

National Average Score

OAT program data, ADA/ASCO

320+

Competitive Score Range

Optometry school admissions benchmarks

On-screen basic calculator provided

Calculator Policy

2026 OAT Candidate Guide, ADA/ASCO

The OAT Quantitative Reasoning section contains 40 multiple-choice questions to be completed in 45 minutes, with an on-screen basic calculator provided (per the 2026 OAT Candidate Guide published by the ADA). Topics span algebra (equations, inequalities, exponents, absolute value, functions, graphical analysis), data analysis, probability and statistics (mean/median/mode, probability, combinations), geometry, trigonometry, and applied word problems including science-context scenarios. The section is scored on a 200–400 scale, with a national average of approximately 300 and competitive applicants scoring 320+. The OAT is administered by the ADA on behalf of ASCO and is required by all U.S. optometry schools.

Sample OAT Quantitative Reasoning Practice Questions

Try these sample questions to test your OAT Quantitative Reasoning exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Solve for x: 3x − 7 = 2x + 5
A.x = 2
B.x = 12
C.x = −2
D.x = −12
Explanation: Subtract 2x from both sides: x − 7 = 5. Add 7 to both sides: x = 12. Always isolate the variable by performing inverse operations.
2Simplify: (2x³y²)(3x²y⁴)
A.5x⁵y⁶
B.6x⁵y⁶
C.6x⁶y⁸
D.5x⁶y⁶
Explanation: Multiply coefficients: 2 × 3 = 6. Add exponents for like bases: x^(3+2) = x⁵, y^(2+4) = y⁶. Result: 6x⁵y⁶.
3What is 35% of 240?
A.72
B.80
C.84
D.90
Explanation: 35% of 240 = 0.35 × 240 = 84. You can also compute 10% = 24, so 30% = 72 and 5% = 12, giving 72 + 12 = 84.
4Solve the inequality: 2x + 3 > 11
A.x > 4
B.x < 4
C.x > 7
D.x ≥ 4
Explanation: Subtract 3: 2x > 8. Divide by 2: x > 4. The inequality sign stays the same because we divided by a positive number.
5A bag contains 4 red marbles, 6 blue marbles, and 5 green marbles. What is the probability of randomly selecting a blue marble?
A.2/5
B.6/15
C.6/11
D.1/3
Explanation: Total marbles = 4 + 6 + 5 = 15. P(blue) = 6/15 = 2/5. Always reduce the fraction to its simplest form.
6Simplify: √72
A.6√2
B.8√2
C.6√3
D.4√3
Explanation: Factor 72 = 36 × 2. √72 = √36 × √2 = 6√2. Identify the largest perfect-square factor to simplify efficiently.
7A recipe calls for 3/4 cup of sugar. If you want to make 2.5 times the recipe, how many cups of sugar do you need?
A.1.5 cups
B.1.875 cups
C.2 cups
D.2.25 cups
Explanation: Multiply 3/4 × 2.5 = 0.75 × 2.5 = 1.875 cups. Alternatively, 3/4 × 5/2 = 15/8 = 1.875.
8Find the area of a triangle with base 10 cm and height 6 cm.
A.30 cm²
B.60 cm²
C.45 cm²
D.24 cm²
Explanation: Area of a triangle = (1/2) × base × height = 0.5 × 10 × 6 = 30 cm².
9Convert 5 feet 4 inches to inches.
A.54 inches
B.60 inches
C.64 inches
D.68 inches
Explanation: 5 feet × 12 inches/foot = 60 inches, then add 4 inches: 60 + 4 = 64 inches.
10The ratio of cats to dogs at an animal shelter is 3:5. If there are 40 dogs, how many cats are there?
A.24
B.20
C.16
D.30
Explanation: Set up proportion: 3/5 = x/40. Cross-multiply: 5x = 120, so x = 24 cats.

About the OAT Quantitative Reasoning Exam

The OAT Quantitative Reasoning section is a 40-item, 45-minute test that measures your ability to reason with numbers and work intelligently with quantitative material. It covers algebra, data analysis, probability and statistics, geometry, trigonometry, and applied word problems. An on-screen basic calculator is provided. Scores range from 200 to 400, and most competitive applicants score 320 or higher.

Questions

40 scored questions

Time Limit

45 minutes

Passing Score

200–400 scale; ~300 national average; 320+ considered competitive

Exam Fee

Included in the full OAT fee (~$475); partial fee waivers available (American Dental Association (ADA) Department of Testing Services, on behalf of ASCO)

OAT Quantitative Reasoning Exam Content Outline

~35%

Algebra

Linear and quadratic equations, inequalities, exponents, absolute value, radicals, functions, ratios and proportions, graphical analysis, scientific notation

~30%

Applied Mathematics (Word Problems)

Distance-rate-time, percent change, mixture problems, compound interest, exponential growth, science-context applied quantitative problems

~15%

Probability and Statistics

Mean, median, mode, range, standard deviation, z-scores, basic probability, independent/dependent events, combinations

~10%

Geometry

Area and perimeter of 2D figures, volume and surface area of 3D solids, angles, circles, Pythagorean theorem

~5%

Trigonometry

SOH-CAH-TOA, special angle values, law of sines, Pythagorean identity

~5%

Data Analysis & Conversions

Significant figures, scientific notation, unit conversions (metric and US customary), data interpretation

How to Pass the OAT Quantitative Reasoning Exam

What You Need to Know

  • Passing score: 200–400 scale; ~300 national average; 320+ considered competitive
  • Exam length: 40 questions
  • Time limit: 45 minutes
  • Exam fee: Included in the full OAT fee (~$475); partial fee waivers available

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

OAT Quantitative Reasoning Study Tips from Top Performers

1Master algebra fundamentals first — linear equations, quadratic factoring, exponent rules, and inequalities account for the largest share of questions.
2Use the on-screen calculator strategically for arithmetic, but set it up quickly — know your formulas so you only need the calculator for final computation.
3Memorize key geometry formulas (area of triangle/circle, volume of cylinder/cone/sphere, Pythagorean theorem) and trigonometric values for 30°, 45°, and 60°.
4Practice applied word problems with a systematic approach: identify what's given, what's asked, and which formula/relationship to use — especially for rate, mixture, and percent-change problems.
5Review the Pythagorean identity (sin²θ + cos²θ = 1) and key probability rules (multiplication rule for independent events, inclusion-exclusion for overlapping events).

Frequently Asked Questions

How many questions are on the OAT Quantitative Reasoning section?

The OAT Quantitative Reasoning section contains 40 multiple-choice items, each with four answer options. You have 45 minutes to complete them.

Is a calculator allowed on the OAT Quantitative Reasoning section?

Yes. An on-screen basic calculator is provided for the Quantitative Reasoning section only (as confirmed in the 2026 OAT Candidate Guide). Physical calculators are not permitted.

What math topics are tested on the OAT QR section?

The OAT QR section covers algebra (equations, inequalities, exponents, absolute value, ratios, functions, graphical analysis), data analysis, probability and statistics, and applied mathematics (word problems including science-context scenarios).

What is a competitive OAT Quantitative Reasoning score?

OAT section scores range from 200 to 400, with a national average of approximately 300. A score of 320 or higher on the Quantitative Reasoning section is generally considered competitive by most optometry programs.

How long should I study for the OAT Quantitative Reasoning section?

Most students dedicate 40–80 hours to quantitative review as part of 8–16 weeks of total OAT preparation. Focus on algebra fundamentals and practice applied word problems, as these make up the largest portion of the section.

Does the OAT QR include trigonometry?

Yes, trigonometry is listed in the OAT Quantitative Reasoning content specifications, including sine, cosine, tangent ratios, special angle values, and the law of sines. However, trig questions are a smaller proportion of the section compared to algebra and word problems.