Free DAT Quantitative Reasoning Practice Test 2026 (With Answers)
Free DAT Quantitative Reasoning Practice Test (With Answers & Step-by-Step Solutions)
Test your skills with 10 DAT-style quantitative reasoning questions — each with a worked solution — then keep practicing with free worksheets and study books.
What’s on the DAT Quantitative Reasoning Test?
The DAT is the admission test for U.S. dental schools. Its math is the Quantitative Reasoning section, which measures the math skills you need for dental coursework.
The QR section has 40 questions in 45 minutes and covers: algebra (equations, inequalities, exponents), numerical calculations (fractions, decimals, percentages, conversions), probability and statistics, geometry, trigonometry, and applied/word problems.
A basic on-screen calculator is available, so focus on setting up problems quickly and accurately. With ~1 minute per question, pacing matters.
Scoring: the QR section is reported as a standard score from 1 to 30 (about 17 is average; 19–20+ is competitive for many dental programs).
A Simple 4-Week DAT Math Study Plan
Free DAT Math Practice Test
Work through 10 DAT-style questions one at a time. Answer, tap Show answer, then press Next.
What is 40% of 90?
- A) 27
- B) 36
- C) 45
- D) 54
Show answer
Solve: 7x − 5 = 30.
- A) 4
- B) 5
- C) 6
- D) 7
Show answer
How many centimeters are in 3.2 meters?
- A) 32
- B) 320
- C) 3200
- D) 0.32
Show answer
What is the probability of rolling an even number on a standard die?
- A) 1/6
- B) 1/3
- C) 1/2
- D) 2/3
Show answer
Solve: x² − 10x + 21 = 0.
- A) 3 and 7
- B) −3 and −7
- C) 1 and 21
- D) 2 and 9
Show answer
Simplify the ratio 9 : 12.
- A) 2 : 3
- B) 3 : 4
- C) 4 : 5
- D) 9 : 12
Show answer
Area of a square with side 7?
- A) 14
- B) 28
- C) 49
- D) 56
Show answer
What is sin 30°?
- A) 1/2
- B) √3/2
- C) 1
- D) √2/2
Show answer
What is the mean of 12, 14, 16, and 18?
- A) 14
- B) 15
- C) 16
- D) 60
Show answer
What is 4³?
- A) 12
- B) 16
- C) 48
- D) 64
Show answer
Practice by Topic
Find your weak spots, then drill each with our free math worksheets:
Free DAT Math Resources
Related DAT Math Books
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DAT Math Formulas You Should Know
- Percent: part = percent × whole.
- Quadratic formula: x = (−b ± √(b² − 4ac)) ÷ 2a.
- Area: square = s²; circle = πr²; triangle = ½bh.
- Pythagorean theorem: a² + b² = c².
- Trig: sin = opp/hyp, cos = adj/hyp, tan = opp/adj.
- Probability: favorable outcomes ÷ total outcomes.
Tips to Boost Your DAT QR Score
- Pace yourself — about 1 minute per question.
- Use the on-screen calculator for arithmetic, but set up problems by hand.
- Memorize common conversions and trig values.
- Skip and return to time-consuming word problems.