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SAT (Scholastic Assessment Test) Math: Geometry and Trigonometry Flashcards
50 question-and-answer cards covering Math: Geometry and Trigonometry as it is examined in SAT (Scholastic Assessment Test). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Math: Geometry and Trigonometry deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is the volume of a right circular cone?
Volume = (1/3) x pi x r^2 x h.
What is the volume of a pyramid?
Volume = (1/3) x base area x height.
What is the surface area of a sphere?
Surface area = 4 x pi x r^2.
What is the surface area of a rectangular prism with dimensions l, w, h?
SA = 2(lw + lh + wh).
What is the lateral (side) surface area of a cylinder?
Lateral area = 2 x pi x r x h; total surface area adds the two circular bases: 2*pi*r*h + 2*pi*r^2.
How do you find the area of a composite figure?
Decompose it into basic shapes, find each area, then add (or subtract for holes/cutouts).
What is the formula for the circumference of a circle?
Circumference = 2 x pi x r, or equivalently pi x d (where d is the diameter).
What is the formula for the area of a circle?
Area = pi x r^2.
How is a circle's diameter related to its radius?
The diameter equals twice the radius: d = 2r.
What is the formula for arc length given a central angle in degrees?
Arc length = (central angle / 360) x 2*pi*r, the fraction of the circumference.
What is the formula for the area of a sector given a central angle in degrees?
Sector area = (central angle / 360) x pi*r^2, the fraction of the full circle area.
What is the arc length formula when the central angle is in radians?
Arc length s = r x theta, where theta is in radians.
What is the sector area formula when the central angle is in radians?
Sector area = (1/2) x r^2 x theta, where theta is in radians.
What is the standard equation of a circle with center (h, k) and radius r?
(x - h)^2 + (y - k)^2 = r^2.
A circle has equation (x - 3)^2 + (y + 2)^2 = 25. What are its center and radius?
Center (3, -2) and radius 5 (since 25 = 5^2).
How do you find a circle's center and radius from a general equation like x^2 + y^2 + Dx + Ey + F = 0?
Complete the square in x and in y to rewrite it as (x - h)^2 + (y - k)^2 = r^2.
Define the sine, cosine, and tangent ratios for an acute angle in a right triangle (SOH-CAH-TOA).
sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent.
How is tangent related to sine and cosine?
tan(theta) = sin(theta) / cos(theta).
State the cofunction relationship between sine and cosine for complementary angles.
sin(theta) = cos(90 - theta) and cos(theta) = sin(90 - theta); the sine of an angle equals the cosine of its complement.
In a right triangle, if sin(x) = cos(y), what is the relationship between angles x and y?
They are complementary: x + y = 90 degrees.
What are the exact values of sin, cos, and tan of 30 degrees?
sin 30 = 1/2, cos 30 = sqrt(3)/2, tan 30 = 1/sqrt(3) = sqrt(3)/3.
What are the exact values of sin, cos, and tan of 45 degrees?
sin 45 = sqrt(2)/2, cos 45 = sqrt(2)/2, tan 45 = 1.
How do you convert between degrees and radians?
Multiply degrees by pi/180 to get radians; multiply radians by 180/pi to get degrees. (180 degrees = pi radians.)
What are the radian measures of 90, 180, 270, and 360 degrees?
pi/2, pi, 3*pi/2, and 2*pi radians respectively.
What this deck covers
The Math: Geometry and Trigonometry deck follows the SAT (Scholastic Assessment Test) Math: Geometry and Trigonometry syllabus — 4 chapters and 13 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.5 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 59 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.
Math: Geometry and Trigonometry flashcards FAQ
How many Math: Geometry and Trigonometry flashcards are in this SAT (Scholastic Assessment 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 SAT (Scholastic Assessment 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 Math: Geometry and Trigonometry cards cover?
They follow the SAT (Scholastic Assessment Test) Math: Geometry and Trigonometry syllabus — 4 chapters and 13 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.