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Police Officer Selection Test (POST) Mathematics and Quantitative Reasoning Flashcards
50 question-and-answer cards covering Mathematics and Quantitative Reasoning as it is examined in Police Officer Selection Test (POST). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematics and Quantitative Reasoning deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
How would you translate 'twice a number increased by 7 equals 19' into an equation?
2n + 7 = 19.
In an equation, what does the word 'is' (or 'equals,' 'yields,' 'results in') translate to?
The equals sign (=).
What is the basic step for isolating a variable in a one-step equation like x + 8 = 20?
Perform the inverse operation on both sides. Here, subtract 8 from both sides: x = 12.
What is a recommended general strategy for solving multi-step word problems?
Read carefully, identify what is asked, list given values, choose operations/equations, solve step by step, then check that the answer is reasonable and answers the question.
When a multi-step problem has multiple operations, how do you decide the sequence?
Work in logical real-world order, respecting order of operations; compute intermediate quantities first, then combine them to reach the final answer.
Why should you estimate before computing a multi-step problem?
Estimation gives a ballpark check so you can catch unreasonable answers caused by calculation or setup errors.
A suspect travels at 45 mph for 20 minutes. How far does the suspect travel?
Convert 20 min to 1/3 hour. Distance = rate x time = 45 x 1/3 = 15 miles.
What is the distance-rate-time formula and its two rearrangements?
Distance = rate x time (d = rt). Rearranged: rate = distance/time, and time = distance/rate.
An officer works an 8-hour shift and issues 12 citations evenly. What is the rate per hour, and how many in a 10-hour shift at that rate?
Rate = 12/8 = 1.5 citations per hour. In 10 hours: 1.5 x 10 = 15 citations.
If a report shows 3 of 25 stops resulted in arrests, what percentage is that?
3/25 = 0.12 = 12%.
How many feet are in one mile?
5,280 feet.
How do you convert minutes to hours and vice versa?
Divide minutes by 60 to get hours; multiply hours by 60 to get minutes (1 hour = 60 minutes).
How many inches are in a foot, and feet in a yard?
12 inches in a foot; 3 feet in a yard (so 36 inches in a yard).
What is the general method for converting units using a conversion factor?
Multiply by a fraction equal to 1 (the conversion factor) arranged so the unwanted unit cancels and the desired unit remains. Example: 2 mi x 5280 ft/1 mi = 10,560 ft.
How many ounces are in a pound, and how do you convert pounds to ounces?
16 ounces in a pound. Multiply pounds by 16 to get ounces (e.g., 3 lb = 48 oz).
On a bar graph, what does each axis typically represent and how do you read a value?
One axis lists categories, the other a numeric scale. Read a bar's value by tracing its top across to the numeric scale.
What does a line graph best show, and how do you interpret a rising versus falling line?
It shows change over time/trends. A rising line means an increase; a falling line means a decrease; a flat line means no change.
In a pie (circle) chart, what do the slices represent and what must they total?
Each slice is a part's proportion of the whole; all slices together represent 100% (or the full data set).
How do you find the actual quantity a pie-chart percentage represents?
Multiply the slice's percentage (as a decimal) by the total amount the whole chart represents.
What is the mean (average), and how is it calculated?
The arithmetic average: add all the values and divide by the number of values. Mean = sum / count.
What is the median, and how do you find it?
The middle value when data is ordered. With an odd count it's the center value; with an even count it's the average of the two middle values.
What is the mode of a data set?
The value that appears most frequently. A set can have no mode, one mode, or multiple modes.
What is the range of a data set, and how is it computed?
A measure of spread equal to the largest value minus the smallest value.
For the data set 4, 8, 8, 10, 20, what are the mean, median, and mode?
Mean = (4+8+8+10+20)/5 = 50/5 = 10; median = 8 (middle value); mode = 8 (most frequent).
What this deck covers
The Mathematics and Quantitative Reasoning deck follows the Police Officer Selection Test (POST) Mathematics and Quantitative Reasoning syllabus — 3 chapters and 10 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 16.7 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 90 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 and Quantitative Reasoning flashcards FAQ
How many Mathematics and Quantitative Reasoning flashcards are in this Police Officer Selection Test (POST) 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 Police Officer Selection Test (POST) 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 and Quantitative Reasoning cards cover?
They follow the Police Officer Selection Test (POST) Mathematics and Quantitative Reasoning syllabus — 3 chapters and 10 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.