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DAT (Dental Admission Test) Quantitative Reasoning Flashcards
51 question-and-answer cards covering Quantitative Reasoning as it is examined in DAT (Dental Admission Test). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Quantitative Reasoning deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is the sum of the interior angles of a triangle and of a quadrilateral?
Triangle = 180 degrees; quadrilateral = 360 degrees (general polygon = (n-2)·180).
What is the area formula for a triangle and for a trapezoid?
Triangle = (1/2)·base·height; trapezoid = (1/2)(b1 + b2)·height.
What is the volume formula for a rectangular prism and for a cylinder?
Rectangular prism = length·width·height; cylinder = pi·r^2·h.
What is the volume formula for a sphere and for a cone?
Sphere = (4/3)·pi·r^3; cone = (1/3)·pi·r^2·h.
What is the surface area formula for a sphere?
Surface area = 4·pi·r^2.
Define the three primary trigonometric ratios (SOH-CAH-TOA).
sin = opposite/hypotenuse; cos = adjacent/hypotenuse; tan = opposite/adjacent.
What are sin, cos, and tan of 30, 45, and 60 degrees?
sin 30=1/2, cos 30=sqrt(3)/2, tan 30=1/sqrt(3); sin 45=cos 45=sqrt(2)/2, tan 45=1; sin 60=sqrt(3)/2, cos 60=1/2, tan 60=sqrt(3).
State the fundamental Pythagorean trig identity.
sin^2(x) + cos^2(x) = 1.
What is the difference between mean, median, and mode?
Mean = arithmetic average (sum/count); median = middle value when ordered; mode = most frequently occurring value.
How does range differ from standard deviation as a measure of spread?
Range = max minus min (only extremes); standard deviation measures average distance of all data points from the mean.
In a normal distribution, what is the 68-95-99.7 rule?
About 68% of data lies within 1 standard deviation of the mean, 95% within 2, and 99.7% within 3.
What is the basic probability of an event formula?
P(event) = number of favorable outcomes / total number of equally likely outcomes.
How do you find the probability of two independent events both occurring?
Multiply their individual probabilities: P(A and B) = P(A) · P(B).
What is the addition rule for the probability of A or B (mutually exclusive vs not)?
P(A or B) = P(A) + P(B) for mutually exclusive events; subtract P(A and B) when they can overlap.
How do you read the value of a specific category from a pie chart given the total?
Multiply the category's percentage (or its angle/360) by the total to get that category's amount.
On a bar graph or histogram, what does the height of each bar represent?
The frequency, count, or value of the category (bar graph) or class interval (histogram) on the vertical axis.
State the rate-time-distance formula.
Distance = rate × time (d = rt), so rate = d/t and time = d/r.
If two objects move toward each other, how do you combine their rates?
Add their speeds to get the closing rate, then use time = distance / combined rate.
What is the work-rate formula for combined work?
Combined rate = sum of individual rates; if one finishes in a hours and another in b hours, together time = (a·b)/(a+b).
How do you find the concentration of a mixture?
Concentration = amount of solute / total amount of solution, expressed as a fraction or percent.
How do you convert between units using dimensional analysis?
Multiply by conversion factors (ratios equal to 1) arranged so unwanted units cancel and desired units remain.
State the simple interest formula.
I = P·r·t, where P is principal, r is the annual rate (decimal), and t is time in years.
State the compound interest formula.
A = P(1 + r/n)^(nt), where n is the number of compounding periods per year and A is the final amount.
How do you calculate percent change between an old and new value?
Percent change = [(new value - old value) / old value] × 100%; positive is increase, negative is decrease.
What this deck covers
The Quantitative Reasoning deck follows the DAT (Dental Admission Test) Quantitative Reasoning syllabus — 5 chapters and 16 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 10.2 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 86 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Quantitative Reasoning flashcards FAQ
How many Quantitative Reasoning flashcards are in this DAT (Dental Admission Test) deck?
51 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these DAT (Dental Admission Test) flashcards free?
Yes. The preview here is free to read with no signup, and the full 51-card deck is free inside the Examius app.
What do the Quantitative Reasoning cards cover?
They follow the DAT (Dental Admission Test) Quantitative Reasoning syllabus — 5 chapters and 16 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.