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🇺🇸 California High School Proficiency Examination (CHSPE) · flashcards
California High School Proficiency Examination (CHSPE) Mathematics: Geometry and Measurement Flashcards
50 question-and-answer cards covering Mathematics: Geometry and Measurement as it is examined in California High School Proficiency Examination (CHSPE). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematics: Geometry and Measurement deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
How do you find the perimeter of any polygon?
Add the lengths of all its sides.
What is the formula for the area of a rectangle?
A = length × width (A = lw).
What is the formula for the area of a triangle?
A = ½ × base × height (A = ½bh).
What is the formula for the area of a parallelogram?
A = base × height (A = bh), where height is the perpendicular distance between the bases.
What is the formula for the area of a trapezoid?
A = ½(b₁ + b₂) × h, the average of the two parallel sides times the height.
What is the formula for the area of a circle?
A = πr², where r is the radius.
What is the formula for the area of a square with side s?
A = s².
What is the formula for the volume of a rectangular prism (box)?
V = length × width × height (V = lwh).
What is the formula for the volume of a cylinder?
V = πr²h (base area times height).
What is the formula for the volume of a sphere?
V = (4/3)πr³.
What is the formula for the volume of a cone?
V = (1/3)πr²h, which is one-third the volume of a cylinder with the same base and height.
What is the surface area of a rectangular prism with dimensions l, w, h?
SA = 2lw + 2lh + 2wh (the sum of the areas of all six faces).
What is the surface area of a cube with edge s?
SA = 6s² (six identical square faces).
What is the surface area of a sphere?
SA = 4πr².
List the common U.S. customary units of length from smallest to largest.
Inch, foot, yard, mile (12 in = 1 ft, 3 ft = 1 yd, 5,280 ft = 1 mile).
List the base metric units for length, mass, and volume.
Meter (length), gram (mass), and liter (volume).
What do the metric prefixes kilo-, centi-, and milli- mean?
Kilo- means 1,000 times the base unit; centi- means one-hundredth (1/100); milli- means one-thousandth (1/1000).
How many ounces are in a pound, and how many pounds in a ton (US customary)?
16 ounces = 1 pound; 2,000 pounds = 1 ton.
In US customary volume, how many cups in a pint, pints in a quart, and quarts in a gallon?
2 cups = 1 pint, 2 pints = 1 quart, 4 quarts = 1 gallon.
What is the approximate conversion between inches and centimeters?
1 inch ≈ 2.54 centimeters (exact).
What is the approximate conversion between miles and kilometers, and between kilograms and pounds?
1 mile ≈ 1.61 kilometers; 1 kilogram ≈ 2.2 pounds.
What does it mean to round to a given level of precision, and how do you estimate a calculation?
Rounding keeps a measurement to a stated place value (e.g., nearest tenth); estimation replaces numbers with convenient rounded values to quickly approximate an answer.
What is the difference between congruent and similar figures?
Congruent figures have the same shape AND size (equal corresponding sides and angles); similar figures have the same shape but possibly different sizes (equal angles and proportional sides).
Name four rigid transformations and state what is preserved.
Translation (slide), reflection (flip), rotation (turn), and (informally) glide reflection; all preserve size and shape, producing congruent images. A dilation changes size, producing a similar image.
What this deck covers
The Mathematics: Geometry and Measurement deck follows the California High School Proficiency Examination (CHSPE) Mathematics: Geometry and Measurement 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 65 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: Geometry and Measurement flashcards FAQ
How many Mathematics: Geometry and Measurement flashcards are in this California High School Proficiency Examination (CHSPE) 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 California High School Proficiency Examination (CHSPE) 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 Mathematics: Geometry and Measurement cards cover?
They follow the California High School Proficiency Examination (CHSPE) Mathematics: Geometry and Measurement 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.