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NTS NAT-IA Quantitative Reasoning Flashcards

50 question-and-answer cards covering Quantitative Reasoning as it is examined in NTS NAT-IA. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.

50Cards in deck
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25Syllabus topics
~72Chars per answer
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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.

  1. Given CP and a profit of p%, how do you find SP?

    SP = CP x (100 + p)/100.

  2. What is a discount and on which price is it calculated?

    A discount is a reduction in the marked (list) price; it is calculated on the marked price: Discount = Marked Price x Discount%/100.

  3. What is the formula for the average (arithmetic mean) of n values?

    Average = (sum of all values) / (number of values).

  4. If the average of n numbers is A, what is their sum?

    Sum = A x n (average multiplied by the count).

  5. How does adding a new value equal to the current average affect the average?

    The average stays unchanged, because the new value equals the existing mean.

  6. What is the average of the first n natural numbers (1 to n)?

    (n + 1) / 2.

  7. What is a linear equation in one variable?

    An equation of the form ax + b = 0 where a is not zero; it has degree 1 and exactly one solution, x = -b/a.

  8. What does the solution of a system of two linear equations in two variables represent graphically?

    The point of intersection of the two straight lines (the (x, y) value satisfying both equations).

  9. When does a system of two linear equations have no solution or infinitely many solutions?

    No solution when the lines are parallel (same slope, different intercepts); infinitely many when the lines are identical (coincident).

  10. What is the slope-intercept form of a line?

    y = mx + c, where m is the slope and c is the y-intercept.

  11. What is the difference between a term, a coefficient, and a constant in an algebraic expression?

    A term is a single part separated by + or -; a coefficient is the numerical factor of a variable; a constant is a term with no variable.

  12. State the identity for (a + b)^2.

    (a + b)^2 = a^2 + 2ab + b^2.

  13. State the identity for (a - b)^2.

    (a - b)^2 = a^2 - 2ab + b^2.

  14. State the identity for a^2 - b^2.

    a^2 - b^2 = (a + b)(a - b).

  15. State the laws of exponents for a^m x a^n and a^m / a^n.

    a^m x a^n = a^(m+n); a^m / a^n = a^(m-n).

  16. What do a^0 and a^(-n) equal (a not zero)?

    a^0 = 1; a^(-n) = 1/a^n.

  17. What is the power-of-a-power rule and how is a fractional exponent a^(m/n) interpreted?

    (a^m)^n = a^(mn); a^(m/n) is the n-th root of a^m, i.e., the n-th root of (a^m).

  18. What is the difference between an arithmetic progression (AP) and a geometric progression (GP)?

    In an AP each term is obtained by adding a constant common difference d; in a GP each term is obtained by multiplying by a constant common ratio r.

  19. What is the formula for the n-th term of an arithmetic progression?

    a_n = a + (n - 1)d, where a is the first term and d is the common difference.

  20. What is the formula for the sum of the first n terms of an AP?

    S_n = (n/2)[2a + (n - 1)d], or equivalently (n/2)(first term + last term).

  21. What is the formula for the n-th term of a geometric progression?

    a_n = a x r^(n-1), where a is the first term and r is the common ratio.

  22. What are complementary and supplementary angles?

    Complementary angles sum to 90 degrees; supplementary angles sum to 180 degrees.

  23. State the angle sum property of a triangle and the exterior angle theorem.

    The three interior angles of a triangle sum to 180 degrees; an exterior angle equals the sum of the two non-adjacent (remote) interior angles.

  24. What is the formula for the sum of the interior angles of a polygon with n sides?

    Sum of interior angles = (n - 2) x 180 degrees.

What this deck covers

The Quantitative Reasoning deck follows the NTS NAT-IA Quantitative Reasoning syllabus — 6 chapters and 25 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 8.3 cards per chapter.

Answers are written to be recallable, not just readable — averaging about 72 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-IA 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-IA 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-IA Quantitative Reasoning syllabus — 6 chapters and 25 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.