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Air University Entry Test Quantitative Flashcards
51 question-and-answer cards covering Quantitative as it is examined in Air University Entry Test. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Quantitative deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is a linear equation in one variable, and how many solutions does it have?
An equation of the form ax + b = 0 (a not 0); the degree is 1 and it has exactly one solution, x = -b/a.
What does the slope-intercept form y = mx + c tell you?
m is the slope (gradient) of the line and c is the y-intercept (where the line crosses the y-axis).
What is the formula for the slope of a line through points (x1,y1) and (x2,y2)?
Slope m = (y2 - y1) / (x2 - x1).
When does a system of two linear equations have a unique solution, no solution, or infinitely many?
Unique: a1/a2 not equal to b1/b2 (lines intersect). No solution: a1/a2 = b1/b2 not equal to c1/c2 (parallel). Infinite: a1/a2 = b1/b2 = c1/c2 (same line).
What is the standard form of a quadratic equation?
ax squared + bx + c = 0, where a, b, c are constants and a is not 0.
State the quadratic formula.
x = (-b plus or minus the square root of (b squared - 4ac)) / (2a).
What is the discriminant of a quadratic, and what does its value indicate?
D = b squared - 4ac. If D > 0: two distinct real roots; D = 0: one repeated real root; D < 0: no real (complex) roots.
For ax squared + bx + c = 0, what are the sum and product of the roots?
Sum of roots = -b/a; Product of roots = c/a.
State the difference of squares factorization.
a squared - b squared = (a - b)(a + b).
Expand (a + b) squared and (a - b) squared.
(a + b) squared = a squared + 2ab + b squared; (a - b) squared = a squared - 2ab + b squared.
What is the factorization of a cubed + b cubed?
a cubed + b cubed = (a + b)(a squared - ab + b squared).
What is the factorization of a cubed - b cubed?
a cubed - b cubed = (a - b)(a squared + ab + b squared).
What is a polynomial, and how is its degree defined?
An algebraic expression of terms with non-negative integer powers of variables; its degree is the highest power of the variable present.
What happens to an inequality when you multiply or divide both sides by a negative number?
The direction of the inequality sign reverses (e.g. -2x < 6 becomes x > -3).
What is the difference between a strict inequality and a non-strict inequality?
Strict (< or >) excludes the boundary value; non-strict (less-than-or-equal or greater-than-or-equal) includes the boundary value.
What does |x| < a (a > 0) mean as a compound inequality?
It means -a < x < a (x lies between -a and a).
What is a complementary pair of angles and a supplementary pair?
Complementary angles sum to 90 degrees; supplementary angles sum to 180 degrees.
What are vertically opposite angles, and what is their key property?
The pairs of opposite angles formed when two lines intersect; vertically opposite angles are always equal.
When a transversal cuts two parallel lines, what is true of alternate interior angles and corresponding angles?
Alternate interior angles are equal, and corresponding angles are equal.
What is the sum of the interior angles of a triangle?
180 degrees.
State the Pythagorean theorem.
In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides: c squared = a squared + b squared.
What is the formula for the sum of interior angles of a polygon with n sides?
Sum of interior angles = (n - 2) x 180 degrees.
What are the formulas for the area and circumference of a circle of radius r?
Area = pi x r squared; Circumference = 2 x pi x r.
What is the relationship between an inscribed angle and the central angle subtending the same arc?
The inscribed angle is half the central angle subtending the same arc.
What this deck covers
The Quantitative deck follows the Air University Entry Test Quantitative syllabus — 4 chapters and 17 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.8 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 79 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 flashcards FAQ
How many Quantitative flashcards are in this Air University Entry Test deck?
51 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these Air University Entry Test flashcards free?
Yes. The preview here is free to read with no signup, and the full 51-card deck is free inside the Examius app.
What do the Quantitative cards cover?
They follow the Air University Entry Test Quantitative syllabus — 4 chapters and 17 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.