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🇺🇸 California High School Proficiency Examination (CHSPE) · flashcards
California High School Proficiency Examination (CHSPE) Mathematics: Number Sense and Operations Flashcards
50 question-and-answer cards covering Mathematics: Number Sense and Operations 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: Number Sense and Operations deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
When dividing by a decimal, what should you do first?
Move the divisor's decimal point to make it a whole number, and move the dividend's decimal point the same number of places.
What does 'percent' mean?
Per hundred; a percent is a ratio comparing a number to 100 (e.g., 25% = 25/100).
What is the formula for finding a percent of a number?
Part = percent (as a decimal) x whole. For example, 20% of 50 = 0.20 x 50 = 10.
How do you find what percent one number is of another, e.g., 15 out of 60?
Divide the part by the whole and multiply by 100: 15/60 = 0.25 = 25%.
How do you calculate a percent increase or decrease?
Divide the amount of change by the original amount, then multiply by 100.
How do you convert a decimal to a percent?
Multiply by 100 and add the percent sign (e.g., 0.45 = 45%).
How do you convert a percent to a fraction in lowest terms, e.g., 40%?
Write it over 100 and simplify: 40/100 = 2/5.
How do you convert a fraction to a decimal?
Divide the numerator by the denominator (e.g., 3/8 = 0.375).
What is a ratio, and how can the ratio 'of 8 to 12' be written?
A comparison of two quantities; it can be written as 8 to 12, 8:12, or 8/12, and simplified to 2:3.
How do you simplify the ratio 15:25?
Divide both terms by their GCF (5): 3:5.
What is a proportion?
An equation stating that two ratios are equal, such as a/b = c/d.
How do you solve a proportion using cross multiplication, e.g., x/4 = 6/8?
Cross multiply: 8x = 24, so x = 3.
What is a unit rate?
A rate with a denominator of 1, such as miles per 1 hour or price per 1 item.
How do you find the better buy between $4.50 for 3 lbs and $7.00 for 5 lbs?
Find unit prices: $4.50/3 = $1.50/lb and $7.00/5 = $1.40/lb; the 5-lb option is the better buy.
If 3 pens cost $1.80, what proportional reasoning gives the cost of 7 pens?
Unit price is $1.80/3 = $0.60 per pen; 7 x $0.60 = $4.20.
On a map, 1 inch = 50 miles. How many miles do 3.5 inches represent?
3.5 x 50 = 175 miles.
What does an exponent tell you, as in 5^3?
It tells how many times the base is used as a factor: 5^3 = 5 x 5 x 5 = 125.
What is the value of any nonzero number raised to the power of 0?
1 (e.g., 7^0 = 1).
What are the product and quotient rules for exponents with the same base?
Add exponents when multiplying (a^m x a^n = a^(m+n)); subtract when dividing (a^m / a^n = a^(m-n)).
What is a square root, and what is the square root of 49?
A number that, when multiplied by itself, gives the original number; √49 = 7.
List the first five perfect squares (of 1 through 5).
1, 4, 9, 16, and 25.
What is scientific notation?
A way to write numbers as a x 10^n, where 1 ≤ a < 10 and n is an integer.
Write 56,000 in scientific notation.
5.6 x 10^4.
Estimate 312 x 49 using rounding, and judge reasonableness.
Round to 300 x 50 = 15,000; an exact answer near 15,000 (15,288) is reasonable.
What this deck covers
The Mathematics: Number Sense and Operations deck follows the California High School Proficiency Examination (CHSPE) Mathematics: Number Sense and Operations syllabus — 4 chapters and 16 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 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: Number Sense and Operations flashcards FAQ
How many Mathematics: Number Sense and Operations 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: Number Sense and Operations cards cover?
They follow the California High School Proficiency Examination (CHSPE) Mathematics: Number Sense and Operations syllabus — 4 chapters and 16 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.