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SSAT (Secondary School Admission Test) Quantitative Reasoning: Geometry and Measurement Flashcards
50 question-and-answer cards covering Quantitative Reasoning: Geometry and Measurement as it is examined in SSAT (Secondary School Admission 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: Geometry and Measurement deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is the area formula for a parallelogram?
$$A = bh$$ where $b$ is the base and $h$ is the perpendicular height (not the slanted side).
What is the area formula for a trapezoid with parallel bases $b_1$ and $b_2$ and height $h$?
$$A = \frac{1}{2}(b_1 + b_2)\,h$$
What are the formulas for the area of a rectangle and a square?
Rectangle: $A = l\times w$. Square: $A = s^{2}$.
What is the formula for the circumference of a circle, using radius $r$ and using diameter $d$?
$C = 2\pi r$ or equivalently $C = \pi d$.
What is the formula for the area of a circle?
$$A = \pi r^{2}$$ where $r$ is the radius.
What is the relationship between the diameter and radius of a circle?
The diameter is twice the radius: $d = 2r$, so $r = \frac{d}{2}$.
State the Pythagorean theorem and identify which side is the hypotenuse.
$$a^{2} + b^{2} = c^{2}$$ where $a$ and $b$ are the legs and $c$ is the hypotenuse (the side opposite the right angle, always the longest).
Name two common Pythagorean triples used to identify right triangles.
$3$-$4$-$5$ and $5$-$12$-$13$ (also $8$-$15$-$17$ and multiples like $6$-$8$-$10$).
How do you find the length of a leg of a right triangle given the hypotenuse $c$ and other leg $b$?
$$a = \sqrt{c^{2} - b^{2}}$$
What is the general strategy for finding the area of a composite figure?
Break it into familiar shapes (rectangles, triangles, circles), find each area separately, then add them together.
How do you find the area of a shaded region inside a larger figure?
Subtract the area of the unshaded (inner) shape from the area of the larger (outer) shape.
What is the formula for the volume of a rectangular prism?
$$V = l \times w \times h$$ (length times width times height).
What is the formula for the volume of a cube with edge length $s$?
$$V = s^{3}$$
What is the general formula for the volume of any prism?
$$V = B\,h$$ where $B$ is the area of the base and $h$ is the height (length perpendicular to the base).
What is the formula for the volume of a cylinder?
$$V = \pi r^{2} h$$ where $r$ is the base radius and $h$ is the height.
What is the formula for the surface area of a rectangular solid (box) with dimensions $l$, $w$, $h$?
$$SA = 2lw + 2lh + 2wh$$
What is the surface area of a cube with edge length $s$, and why?
$$SA = 6s^{2}$$ because a cube has 6 identical square faces, each of area $s^{2}$.
What is a net of a three-dimensional solid?
A net is a two-dimensional pattern that can be folded along its edges to form a 3-D solid; it shows all the faces flattened out.
How many faces, edges, and vertices does a cube have?
6 faces, 12 edges, and 8 vertices.
List the equivalences for U.S. customary length: feet in a yard, inches in a foot, and feet in a mile.
$1$ yard $= 3$ feet; $1$ foot $= 12$ inches; $1$ mile $= 5280$ feet.
State the U.S. customary capacity conversions: cups in a pint, pints in a quart, and quarts in a gallon.
$1$ pint $= 2$ cups; $1$ quart $= 2$ pints; $1$ gallon $= 4$ quarts.
What do the metric prefixes kilo-, centi-, and milli- mean as factors of the base unit?
kilo- $= 1000\times$; centi- $= \frac{1}{100}$ (0.01); milli- $= \frac{1}{1000}$ (0.001).
How many meters are in a kilometer, centimeters in a meter, and millimeters in a meter?
$1$ km $= 1000$ m; $1$ m $= 100$ cm; $1$ m $= 1000$ mm.
To convert 2 hours and 45 minutes into total minutes, and what is the general method for elapsed time across an hour boundary?
$2\times 60 + 45 = 165$ minutes. For elapsed time, convert to a common unit or count up to the next whole hour, then add the remaining time.
What this deck covers
The Quantitative Reasoning: Geometry and Measurement deck follows the SSAT (Secondary School Admission Test) Quantitative Reasoning: Geometry and Measurement 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 12.5 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 71 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: Geometry and Measurement flashcards FAQ
How many Quantitative Reasoning: Geometry and Measurement flashcards are in this SSAT (Secondary School Admission 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 SSAT (Secondary School Admission 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: Geometry and Measurement cards cover?
They follow the SSAT (Secondary School Admission Test) Quantitative Reasoning: Geometry and Measurement 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.