10 DAT Quantitative Reasoning Practice Questions
1. Algebra – Linear Equations
Solve for x:
2. Conversions & Rates
A dental assistant can sterilize 5 trays in 12 minutes. At this rate, how many trays can they sterilize in 1 hour?
3. Word Problem – Total Cost
A student buys 2 boxes of gloves for $7.49 each and a face mask pack for $5.25. If tax is 8%, what is the total cost?
4. Geometry – Area
What is the area of a right triangle with legs of length 6 cm and 8 cm?
5. Data Analysis – Averages
The weights (in pounds) of five dental instruments are: 2.5, 3.0, 2.8, 3.2, and 3.0. What is the average weight?
6. Percentages – Discounts
A dental loupe originally costs $950 and is on sale for 20% off. What is the sale price?
7. Probability
A drawer contains 6 latex gloves, 4 nitrile gloves, and 2 vinyl gloves. If one glove is selected at random, what is the probability it is not nitrile?
8. Word Problem – Ratios
A solution contains water and bleach in a ratio of 5:1. If there are 30 mL of bleach, how many mL of water are in the solution?
9. Exponents & Roots
Simplify:
10. Algebra – Quadratics
Solve:
