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NMAT Quantitative Skills Flashcards
50 question-and-answer cards covering Quantitative Skills as it is examined in NMAT. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Quantitative Skills deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What are the domain and range of a function?
Domain = the set of all permissible input values (x); Range = the set of all resulting output values (y = f(x)).
What does the vertical line test determine?
A graph represents a function if and only if every vertical line intersects it at most once (each input has at most one output).
How do you find the nth term and sum of an Arithmetic Progression?
nth term: a_n = a + (n-1)d. Sum: S_n = (n/2)[2a + (n-1)d] = (n/2)(first term + last term).
How do you find the nth term and sum of a Geometric Progression?
nth term: a_n = a x r^(n-1). Sum: S_n = a(r^n - 1)/(r - 1) for r != 1.
What is the sum of an infinite GP, and when does it converge?
Sum = a/(1 - r), valid only when |r| < 1.
What are the formulas for sum of first n natural numbers, their squares, and their cubes?
Sum = n(n+1)/2; Sum of squares = n(n+1)(2n+1)/6; Sum of cubes = [n(n+1)/2]^2.
State the product rule and power rule of logarithms.
log(mn) = log m + log n; log(m^k) = k x log m.
What is the change of base formula for logarithms?
log_a(b) = log_c(b) / log_c(a), for any valid base c.
How do you rationalize a surd of the form 1/(a + sqrt(b))?
Multiply numerator and denominator by the conjugate (a - sqrt(b)), giving (a - sqrt(b))/(a^2 - b).
State the Pythagorean theorem and the triangle inequality.
Pythagoras: in a right triangle, hypotenuse^2 = sum of squares of the other two sides. Triangle inequality: the sum of any two sides must exceed the third side.
What is the sum of interior angles of a polygon with n sides, and each interior angle of a regular n-gon?
Sum of interior angles = (n - 2) x 180 degrees; each interior angle of a regular polygon = (n - 2) x 180 / n.
State two key circle theorems relating angles.
The angle subtended by an arc at the centre is twice the angle at the circumference; the angle in a semicircle is 90 degrees.
What is the distance formula and midpoint formula in coordinate geometry?
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2); Midpoint = ((x1 + x2)/2, (y1 + y2)/2).
What is the slope of a line through two points, and the condition for two lines to be parallel or perpendicular?
Slope m = (y2 - y1)/(x2 - x1). Parallel: m1 = m2; Perpendicular: m1 x m2 = -1.
What are the area and perimeter (circumference) formulas for a circle?
Area = pi r^2; Circumference = 2 pi r.
What are the area formulas for a triangle, trapezium, and parallelogram?
Triangle = (1/2) x base x height; Trapezium = (1/2) x (sum of parallel sides) x height; Parallelogram = base x height.
What are the volume and total surface area of a sphere of radius r?
Volume = (4/3) pi r^3; Total Surface Area = 4 pi r^2.
What are the volume and curved surface area of a cylinder and a cone?
Cylinder: Volume = pi r^2 h, CSA = 2 pi r h. Cone: Volume = (1/3) pi r^2 h, CSA = pi r l (l = slant height).
State the fundamental trigonometric identity and the values of sin, cos at 0, 30, 45, 60, 90 degrees.
sin^2(x) + cos^2(x) = 1. sin: 0, 1/2, 1/sqrt2, sqrt3/2, 1; cos: 1, sqrt3/2, 1/sqrt2, 1/2, 0 (at 0,30,45,60,90 degrees).
What is the difference between a permutation and a combination, with their formulas?
Permutation (order matters): nPr = n!/(n-r)!. Combination (order doesn't matter): nCr = n!/(r!(n-r)!).
What is the classical (theoretical) probability of an event, and the range of probability values?
P(E) = (favorable outcomes)/(total equally likely outcomes); 0 <= P(E) <= 1, with P(certain) = 1 and P(impossible) = 0.
State the addition rule of probability for two events A and B.
P(A or B) = P(A) + P(B) - P(A and B). For mutually exclusive events, P(A and B) = 0, so P(A or B) = P(A) + P(B).
State the inclusion-exclusion principle for two sets, |A union B|.
|A union B| = |A| + |B| - |A intersection B|.
What is the relationship between speed, distance, and time, and how do you find average speed for equal distances at speeds x and y?
Speed = Distance/Time. For equal distances at speeds x and y, average speed = 2xy/(x+y) (harmonic mean).
What this deck covers
The Quantitative Skills deck follows the NMAT Quantitative Skills syllabus — 4 chapters and 22 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.5 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 91 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 Skills flashcards FAQ
How many Quantitative Skills flashcards are in this NMAT deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these NMAT flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Quantitative Skills cards cover?
They follow the NMAT Quantitative Skills syllabus — 4 chapters and 22 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.