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🇺🇸 Armed Services Vocational Aptitude Battery (ASVAB) · flashcards
Armed Services Vocational Aptitude Battery (ASVAB) Mathematics Knowledge (MK) Flashcards
51 question-and-answer cards covering Mathematics Knowledge (MK) as it is examined in Armed Services Vocational Aptitude Battery (ASVAB). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematics Knowledge (MK) deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is a right angle, an acute angle, and an obtuse angle?
Right = exactly 90 degrees; acute = less than 90 degrees; obtuse = between 90 and 180 degrees.
What are complementary and supplementary angles?
Complementary angles sum to 90 degrees; supplementary angles sum to 180 degrees.
State the Pythagorean theorem.
In a right triangle, a² + b² = c², where c is the hypotenuse (side opposite the right angle).
What defines an equilateral, isosceles, and scalene triangle?
Equilateral = all three sides equal; isosceles = two sides equal; scalene = no sides equal.
What are vertical angles, and how are they related?
The opposite angles formed when two lines intersect; they are always equal (congruent).
What is the sum of the interior angles of any quadrilateral?
360 degrees.
What is the formula for the sum of interior angles of a polygon with n sides?
(n - 2) × 180 degrees.
What is the difference between the radius and diameter of a circle?
The diameter passes through the center and equals twice the radius: d = 2r.
What is the formula for the circumference of a circle?
C = 2πr (or C = πd).
What is the formula for the area of a circle?
A = πr².
What is the formula for the area of a rectangle and of a triangle?
Rectangle: A = length × width; Triangle: A = (1/2) × base × height.
What is the formula for the perimeter of a rectangle?
P = 2(length + width).
What is the formula for the volume of a rectangular box (cube/prism)?
V = length × width × height (for a cube, V = s³).
What is the formula for the volume of a cylinder?
V = πr²h (base area times height).
In the coordinate plane, what are the x- and y-coordinates in an ordered pair (x, y)?
x is the horizontal position (abscissa); y is the vertical position (ordinate).
State the distance formula between two points.
d = √[(x2 - x1)² + (y2 - y1)²].
State the midpoint formula between two points.
Midpoint = ((x1 + x2)/2, (y1 + y2)/2).
What distinguishes a prime number from a composite number?
A prime has exactly two factors (1 and itself); a composite has more than two factors.
What is the difference between a factor and a multiple of a number?
A factor divides the number evenly; a multiple is the product of the number and an integer.
What is the difference between the GCF and the LCM?
GCF is the greatest factor shared by numbers; LCM is the smallest multiple they share.
What is an arithmetic sequence, and how do you find the next term?
A sequence with a constant difference between terms; add the common difference to the previous term.
What is a geometric sequence, and how do you find the next term?
A sequence with a constant ratio between terms; multiply the previous term by the common ratio.
How is the probability of a single event calculated?
Probability = (number of favorable outcomes) / (total number of possible outcomes).
How do you find the mean, median, and mode of a data set?
Mean = sum of values ÷ count; median = middle value when ordered; mode = most frequent value.
What this deck covers
The Mathematics Knowledge (MK) deck follows the Armed Services Vocational Aptitude Battery (ASVAB) Mathematics Knowledge (MK) syllabus — 3 chapters and 11 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 17.0 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 64 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.
Mathematics Knowledge (MK) flashcards FAQ
How many Mathematics Knowledge (MK) flashcards are in this Armed Services Vocational Aptitude Battery (ASVAB) 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 Armed Services Vocational Aptitude Battery (ASVAB) 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 Mathematics Knowledge (MK) cards cover?
They follow the Armed Services Vocational Aptitude Battery (ASVAB) Mathematics Knowledge (MK) syllabus — 3 chapters and 11 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.