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CLT (Classic Learning Test) Quantitative Reasoning Flashcards
50 question-and-answer cards covering Quantitative Reasoning as it is examined in CLT (Classic Learning 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 Reasoning deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What are the three methods for solving a system of two linear equations?
Graphing (intersection point), substitution, and elimination (adding/subtracting equations).
How many solutions does a linear system have based on its lines?
One solution if lines intersect, no solution if parallel (same slope, different intercepts), infinitely many if the lines are identical.
Define a function and the vertical line test.
A function assigns each input exactly one output; a graph represents a function if no vertical line crosses it more than once.
For f(x), what is the difference between domain and range?
Domain is the set of all allowable input (x) values; range is the set of all resulting output (y) values.
How do you evaluate a function such as f(x) = 2x + 1 at x = 3?
Substitute 3 for x: f(3) = 2(3) + 1 = 7.
What is the FOIL method for multiplying two binomials (a+b)(c+d)?
Multiply First, Outer, Inner, Last: ac + ad + bc + bd.
Factor the difference of squares a² − b².
(a + b)(a − b).
How do you factor a quadratic x² + bx + c?
Find two numbers that multiply to c and add to b; write as (x + m)(x + n).
State the relationships among complementary, supplementary, and vertical angles.
Complementary angles sum to 90°, supplementary angles sum to 180°, and vertical angles (opposite at an intersection) are equal.
What is the sum of the interior angles of any triangle, and the Triangle Inequality?
Interior angles sum to 180°; the sum of any two side lengths must exceed the third side.
State the Pythagorean theorem and what kind of triangle it applies to.
a² + b² = c², for a right triangle where c is the hypotenuse (side opposite the right angle).
What is the sum of interior angles of a polygon with n sides?
(n − 2) × 180°.
Give the formulas for the circumference and area of a circle of radius r.
Circumference = 2πr (or πd); Area = πr².
What is the slope formula given two points (x₁,y₁) and (x₂,y₂)?
slope m = (y₂ − y₁) / (x₂ − x₁) (rise over run).
What is slope-intercept form and what do its parts mean?
y = mx + b, where m is the slope and b is the y-intercept.
What are the slope relationships for parallel and perpendicular lines?
Parallel lines have equal slopes; perpendicular lines have slopes that are negative reciprocals (product = −1).
Give the area formulas for a rectangle, a triangle, and a parallelogram.
Rectangle = length × width; Triangle = ½ × base × height; Parallelogram = base × height.
What are the volume formulas for a rectangular prism and a cylinder?
Prism = length × width × height; Cylinder = πr²h (base area times height).
How do you convert between units using a conversion factor (e.g., feet to inches)?
Multiply by a fraction equal to 1 whose units cancel the unwanted unit and leave the desired one (e.g., ×12 in/1 ft).
What does each part of a bar graph versus a circle (pie) graph best display?
A bar graph compares amounts across categories; a pie graph shows parts of a whole as percentages of 360°.
Define mean, median, and mode.
Mean = sum of values ÷ count; median = middle value when ordered; mode = most frequently occurring value.
What is the range of a data set and how does an outlier affect the mean versus the median?
Range = greatest value − least value; an outlier strongly shifts the mean but has little effect on the median.
What is the basic probability formula for a single event?
P(event) = (number of favorable outcomes) / (total number of equally likely outcomes).
How do you find the probability of two independent events both occurring (the counting/multiplication principle)?
Multiply their individual probabilities: P(A and B) = P(A) × P(B); for counting total outcomes, multiply the number of options at each stage.
What this deck covers
The Quantitative Reasoning deck follows the CLT (Classic Learning Test) Quantitative Reasoning syllabus — 5 chapters and 22 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 10.0 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 85 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 CLT (Classic Learning Test) 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 CLT (Classic Learning Test) 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 CLT (Classic Learning Test) Quantitative Reasoning syllabus — 5 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.