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SNAP Quantitative Ability Flashcards
53 question-and-answer cards covering Quantitative Ability as it is examined in SNAP. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Quantitative Ability 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 first n natural numbers, their squares, and their cubes?
Σn = n(n+1)/2; Σn² = n(n+1)(2n+1)/6; Σn³ = [n(n+1)/2]².
State the key laws of indices for a^m · a^n, a^m / a^n, and (a^m)^n.
a^m · a^n = a^(m+n); a^m / a^n = a^(m−n); (a^m)^n = a^(mn). Also a^0 = 1 and a^(−n) = 1/a^n.
How do you rationalise a denominator of the form 1/(√a + √b)?
Multiply numerator and denominator by the conjugate (√a − √b): 1/(√a+√b) = (√a−√b)/(a − b).
State the angle-sum property of a triangle and the exterior angle theorem.
The three interior angles of a triangle sum to 180°. An exterior angle equals the sum of the two non-adjacent (remote) interior angles.
State the Pythagorean theorem and name three common Pythagorean triples.
In a right triangle, hypotenuse² = base² + height². Triples: (3,4,5), (5,12,13), (8,15,17).
What is the formula for the sum of interior angles of a polygon with n sides, and each interior angle if regular?
Sum of interior angles = (n − 2) × 180°. Each interior angle of a regular polygon = (n−2)×180°/n.
State the inscribed angle theorem and the angle in a semicircle.
The angle subtended by an arc at the centre is twice that subtended at any point on the remaining circumference. The angle in a semicircle is 90°.
What is the distance formula and the midpoint formula between points (x₁,y₁) and (x₂,y₂)?
Distance = √[(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 perpendicular?
Slope m = (y₂−y₁)/(x₂−x₁). Two lines are perpendicular when m₁ × m₂ = −1; parallel when m₁ = m₂.
State the area and circumference/perimeter formulas for a circle.
Area = πr²; Circumference = 2πr, where r is the radius.
State the formulas for the volume and total surface area of a cylinder.
Volume = πr²h; Total Surface Area = 2πr(r + h), where r = radius, h = height.
State the volume and total surface area of a sphere of radius r.
Volume = (4/3)πr³; Surface Area = 4πr².
State the three basic trigonometric ratios in a right triangle.
sin θ = Opposite/Hypotenuse; cos θ = Adjacent/Hypotenuse; tan θ = Opposite/Adjacent = sin θ/cos θ.
State the fundamental Pythagorean trigonometric identity and the values of sin and cos at 0°, 30°, 45°, 60°, 90°.
sin²θ + cos²θ = 1. sin: 0, 1/2, 1/√2, √3/2, 1. cos: 1, √3/2, 1/√2, 1/2, 0.
Classify numbers: what distinguishes rational, irrational, prime, and composite numbers?
Rational: expressible as p/q (q≠0). Irrational: not expressible as a fraction (e.g. √2, π). Prime: exactly two factors. Composite: more than two factors.
How do you find the total number of factors of a number from its prime factorisation p^a · q^b · r^c?
Number of factors = (a+1)(b+1)(c+1). Their sum = (p^(a+1)−1)/(p−1) × similar terms for each prime.
State the relationship between HCF, LCM, and the product of two numbers.
HCF × LCM = Product of the two numbers (holds only for exactly two numbers).
State the divisibility rules for 3, 9, and 11.
Divisible by 3: digit sum divisible by 3. By 9: digit sum divisible by 9. By 11: difference of sums of alternate digits is 0 or divisible by 11.
What is the unit (last) digit cycle of powers of 2, and how do you find the unit digit of 2^n?
Powers of 2 cycle every 4: 2,4,8,6. Find n mod 4 (using 4 if remainder is 0) and pick the corresponding digit.
In a base system, what is the place value of a digit, and how do you convert a base-b number to decimal?
Each digit's value = digit × b^(position index from right, starting at 0). Sum these products to get the decimal value.
What is the difference between Permutations and Combinations, with their formulas?
Permutations (order matters): nPr = n!/(n−r)!. Combinations (order doesn't matter): nCr = n!/[r!(n−r)!].
State the classical probability formula and the addition rule P(A∪B).
P(E) = favourable outcomes / total outcomes. P(A∪B) = P(A) + P(B) − P(A∩B); for mutually exclusive events P(A∩B)=0.
State the Set Theory inclusion-exclusion formula for n(A∪B) and n(A∪B∪C).
n(A∪B) = n(A) + n(B) − n(A∩B). n(A∪B∪C) = n(A)+n(B)+n(C) − n(A∩B) − n(B∩C) − n(A∩C) + n(A∩B∩C).
State the general term in the Binomial Theorem expansion of (a + b)^n.
The (r+1)th term: T_(r+1) = nCr · a^(n−r) · b^r, for r = 0 to n. Total number of terms = n + 1.
What this deck covers
The Quantitative Ability deck follows the SNAP Quantitative Ability syllabus — 5 chapters and 27 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 10.6 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 97 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 Ability flashcards FAQ
How many Quantitative Ability flashcards are in this SNAP deck?
53 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these SNAP flashcards free?
Yes. The preview here is free to read with no signup, and the full 53-card deck is free inside the Examius app.
What do the Quantitative Ability cards cover?
They follow the SNAP Quantitative Ability syllabus — 5 chapters and 27 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.