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NTS NAT-IE Quantitative Reasoning Flashcards
50 question-and-answer cards covering Quantitative Reasoning as it is examined in NTS NAT-IE. 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 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, so it grows faster.
How is the compound interest formula adjusted when interest is compounded n times per year?
A = P(1 + R/(100n))^(nT), where n is the number of compounding periods per year (e.g., n = 2 for half-yearly, 4 for quarterly).
State the fundamental relationship between speed, distance and time.
Speed = Distance ÷ Time; Distance = Speed × Time; Time = Distance ÷ Speed.
How do you convert km/h to m/s and m/s to km/h?
km/h → m/s: multiply by 5/18. m/s → km/h: multiply by 18/5.
What is the average speed for a journey covering different distances at different speeds?
Average speed = (total distance) ÷ (total time taken), not the simple average of the individual speeds.
For two objects moving toward each other vs. in the same direction, what relative speed do you use?
Toward each other (opposite directions): relative speed = sum of speeds. Same direction: relative speed = difference of speeds.
What is a like term in algebra, and can like terms be combined?
Like terms have identical variable parts with the same exponents (e.g., 3x² and −5x²). They can be combined by adding/subtracting their coefficients; unlike terms cannot.
State the identity for (a + b)² and (a − b)².
(a + b)² = a² + 2ab + b²; (a − b)² = a² − 2ab + b².
State the identity for (a + b)(a − b).
(a + b)(a − b) = a² − b² (the difference of two squares).
State the identities for a³ + b³ and a³ − b³.
a³ + b³ = (a + b)(a² − ab + b²); a³ − b³ = (a − b)(a² + ab + b²).
State the expansion of (a + b + c)².
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.
What is a linear equation in one variable and what does its solution represent?
An equation of the form ax + b = 0 (a ≠ 0) where the highest power of the variable is 1. Its solution x = −b/a is the single value that makes the equation true.
What does the slope-intercept form y = mx + c tell you about a line?
m is the slope (rate of change / steepness) and c is the y-intercept (where the line crosses the y-axis at x = 0).
How many solutions can a system of two linear equations in two variables have, and what does each case mean graphically?
One solution (lines intersect at a point), no solution (parallel lines), or infinitely many solutions (the same line / coincident lines).
What is the standard (general) form of a quadratic equation?
ax² + bx + c = 0, where a, b, c are constants and a ≠ 0.
State the quadratic formula for solving ax² + bx + c = 0.
x = [−b ± √(b² − 4ac)] ÷ (2a).
What is the discriminant of a quadratic, and what do its values reveal about the roots?
Discriminant D = b² − 4ac. If D > 0: two distinct real roots; D = 0: one real (repeated) root; D < 0: no real roots (two complex roots).
What are the sum and product of the roots of ax² + bx + c = 0?
Sum of roots = −b/a; product of roots = c/a.
State the laws of exponents 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).
What do a^0 and a^(−n) equal (a ≠ 0)?
a^0 = 1 and a^(−n) = 1/a^n (a negative exponent gives the reciprocal).
How is a fractional exponent a^(m/n) expressed as a radical?
a^(m/n) = the n-th root of a^m = (ⁿ√a)^m. For example, a^(1/2) = √a and a^(3/2) = √(a³).
State the rules for multiplying and dividing radicals (same index).
√a × √b = √(ab) and √a ÷ √b = √(a/b), provided a, b ≥ 0 (and b ≠ 0 for division).
Define complementary, supplementary, and vertically opposite angles.
Complementary angles sum to 90°; supplementary angles sum to 180°; vertically opposite angles are formed by two intersecting lines and are equal to each other.
When a transversal cuts two parallel lines, what is the relationship between corresponding angles, alternate angles, and co-interior angles?
Corresponding angles are equal; alternate (interior and exterior) angles are equal; co-interior (allied) angles are supplementary (sum to 180°).
What this deck covers
The Quantitative Reasoning deck follows the NTS NAT-IE Quantitative Reasoning syllabus — 3 chapters and 16 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 16.7 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 Reasoning flashcards FAQ
How many Quantitative Reasoning flashcards are in this NTS NAT-IE 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-IE 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-IE Quantitative Reasoning syllabus — 3 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.