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NTS NAT-ICOM Quantitative Reasoning Flashcards
50 question-and-answer cards covering Quantitative Reasoning as it is examined in NTS NAT-ICOM. 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.
How do you find the total sum if you know the average and the number of items?
Sum = average x number of items.
What is the average of the first n natural numbers?
Average = (n + 1) / 2.
How is a new average affected when a value above the current average is added?
The average increases; adding a value below the current average decreases it; adding a value equal to it leaves it unchanged.
Define cost price (CP) and selling price (SP).
Cost price is the price at which an item is bought; selling price is the price at which it is sold.
What is the formula for profit and for loss?
Profit = SP - CP (when SP > CP); Loss = CP - SP (when CP > SP).
What is the formula for profit percentage?
Profit% = (Profit / CP) x 100% (profit and loss percentages are always calculated on cost price).
What is the formula for loss percentage?
Loss% = (Loss / CP) x 100%.
How do you find SP given CP and profit percentage?
SP = CP x (100 + Profit%) / 100.
What is the formula for simple interest?
Simple Interest = (P x R x T) / 100, where P = principal, R = rate per year, T = time in years.
What is the formula for the amount with compound interest?
Amount A = P(1 + R/100)^T; Compound Interest = A - P.
What is the key difference between simple and compound interest?
Simple interest is calculated only on the original principal each period; compound interest is calculated on the principal plus accumulated interest.
What is the compound interest formula when interest is compounded n times per year?
A = P(1 + R/(100n))^(nT), where n is the number of compounding periods per year.
What is the basic formula relating speed, distance and time?
Speed = Distance / Time (so Distance = Speed x Time, and Time = Distance / Speed).
How do you convert km/h to m/s?
Multiply by 5/18 (e.g. 36 km/h = 36 x 5/18 = 10 m/s).
What is the average speed for a whole journey?
Average speed = total distance / total time (NOT the simple average of the speeds).
For two objects moving in opposite directions, what is their relative speed?
The sum of their speeds; for the same direction, relative speed is the difference of their speeds.
What is the difference between a term and a coefficient in an algebraic expression?
A term is a part separated by + or - signs (e.g. 3x); a coefficient is the numerical factor of a term (e.g. 3 in 3x).
What are like terms?
Terms having the same variables raised to the same powers (e.g. 3x and 5x), which can be combined by adding/subtracting coefficients.
Expand (a + b)^2 and (a - b)^2.
(a + b)^2 = a^2 + 2ab + b^2; (a - b)^2 = a^2 - 2ab + b^2.
Factorize a^2 - b^2.
a^2 - b^2 = (a + b)(a - b) (difference of two squares).
What defines a linear equation in one variable, and how many solutions does it have?
An equation of the form ax + b = 0 (highest power of the variable is 1); it has exactly one solution: x = -b/a.
What is the standard (general) form of a quadratic equation?
ax^2 + bx + c = 0, where a, b, c are constants and a is not 0.
State the quadratic formula.
x = [-b plus or minus sqrt(b^2 - 4ac)] / (2a).
What does the discriminant b^2 - 4ac tell you about the roots of a quadratic?
If > 0: two distinct real roots; if = 0: one repeated real root; if < 0: no real roots (two complex roots).
What this deck covers
The Quantitative Reasoning deck follows the NTS NAT-ICOM Quantitative Reasoning 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 78 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 NTS NAT-ICOM 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 NTS NAT-ICOM 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 Reasoning cards cover?
They follow the NTS NAT-ICOM Quantitative Reasoning 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.