DAT Quantitative Reasoning Practice Problems: Boost Your Score with Smart Practice
Let’s be real—Quantitative Reasoning (QR) might be one of the most overlooked sections on the DAT, but it can also be one of the easiest to improve… if you practice the right way.
In this post, we’ll walk you through:
What to expect on the QR section
Common question types
5 must-know practice problems with explanations
Study tips to boost your QR score
Whether you’re just starting your DAT math practice or trying to push past a plateau, these DAT Quantitative Reasoning practice problems will help sharpen your skills and build test-day confidence.
What’s on the DAT Quantitative Reasoning Section?
The QR section tests your ability to solve math problems quickly and accurately. You’ll have 45 minutes to answer 40 questions covering:
📌 Topics include:
Algebra and equations
Word problems
Data analysis and interpretation
Probability and statistics
Geometry
Conversions and rates
It’s not just about solving—it’s about solving fast. Speed and strategy are key.
5 Must-Know DAT Quantitative Reasoning Practice Problems
Here are five high-yield practice questions you should be able to solve with confidence before test day:
Problem 1: Algebra
Solve for x:
3x−5=16
✅ Solution:
Add 5 to both sides:
3x=21
Divide both sides by 3:
x=7
Problem 2: Rates and Conversions
A dentist sees 6 patients per hour. How many patients can she see in 7 hours?
✅ Solution:
6×7=42 patients
Problem 3: Word Problem
Sarah buys 3 toothbrushes at $2.50 each and one bottle of mouthwash for $4.75. What is her total?
✅ Solution:
3×2.50=7.50
7.50+4.75=12.25
Problem 4: Percentages
A DAT prep book is originally $80. If it’s on sale for 25% off, what’s the sale price?
✅ Solution:
25% of 80 = 0.25×80=20
80−20=60
Problem 5: Probability
A bag contains 4 red pens, 3 blue pens, and 3 black pens. What’s the probability of randomly drawing a blue pen?
✅ Solution:
Total pens = 4+3+3=10
Blue pens = 3
Probability = 3/10
DAT QR Study Tips
📚 1. Know Your Weak Spots
Track which topics slow you down. Is it word problems? Conversions? Focus your practice there.
⏱ 2. Drill with Timers
Speed matters. Practice solving problems in under 60 seconds to simulate real test conditions.
🧠 3. Learn the Shortcuts
Don’t just do the math—learn the fastest way to get to the answer. Knowing when to estimate, round, or eliminate can save valuable time.
📈 4. Use Full-Length Practice Tests
Build QR stamina by integrating full-length tests into your study plan. This helps you manage mental fatigue and improve pacing.
Want More Practice with Real DAT-Level Math?
At Dental School Declassified, we offer high-yield QR tutoring and practice sets designed to match the actual DAT in format, difficulty, and timing. Whether you're struggling with math or aiming for a top percentile score, we’ll help you build the skills (and speed) you need.
Get Serious About DAT QR Success
Check out our 1:1 DAT tutoring or join a focused session on Quantitative Reasoning. Learn how to break down tough problems, master strategy, and score with confidence.
📌 No generic videos. No fluff. Just expert guidance, proven techniques, and results.
