• 84 questions

Police Test Math Questions With Worked Answers

General math practice set in police work; the police exam notices cited here list no math part.

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Three made-up fines of $45, $115 and $60 are listed on one sheet. What is the total of the three?

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Unofficial practice questions, not affiliated with any police department or civil service agency. Bank checked October 4, 2026.

All 84 questions with answers

Adding and subtracting 12

  • A front desk signs in 128 visitors on Monday, 95 on Tuesday and 77 on Wednesday. How many visitors is that over the three days? Answer: 300 visitors. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up desk log shows 47 calls on the day shift, 38 on the evening shift and 26 on the night shift. How many calls is that in all? Answer: 111 calls. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up parking detail writes 64 tickets on Monday, 57 on Tuesday, 39 on Wednesday and 18 on Thursday. How many tickets is that in all? Answer: 178 tickets. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
Show all 84 questions (81 more)

Adding and subtracting, continued

  • A patrol car's odometer reads 48,215 miles at the start of a shift and 48,302 miles at the end. How many miles was the car driven on the shift? Answer: 87 miles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A property room holds 34 found bicycles. During the week 12 more are brought in and 9 are returned to their owners. How many bicycles are in the room at the end of the week? Answer: 37 bicycles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A recruit must log 40 hours of driver training. So far the log shows sessions of 12.5 hours, 9 hours and 7.5 hours. How many hours are still to be logged? Answer: 11 hours. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A supply closet holds 150 pens. On Monday 48 are handed out, on Tuesday 36 more, and on Wednesday a box of 100 is delivered. How many pens are in the closet now? Answer: 166 pens. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A unit owns 86 radios. Today 14 are out for repair and 9 are on loan to another unit. How many radios are on hand? Answer: 63 radios. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An odometer reads 19,876 miles on Monday morning and 20,041 miles on Friday night. How many miles were driven in between? Answer: 165 miles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An officer starts a tour with a pad of 200 blank report forms, uses 85 before the meal break and 60 after it. How many blank forms are left? Answer: 55 forms. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Evidence tags are used in number order. The first tag used today is number 2,418 and the last is number 2,467. How many tags were used today? Answer: 50 tags. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Three made-up fines of $45, $115 and $60 are listed on one sheet. What is the total of the three? Answer: $220. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part

Averages 12

  • A crossing post counts 42, 38, 45, 40 and 35 school buses on the five days of a made-up week. What is the daily average? Answer: 40 buses. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A desk logs 20 calls a day on 3 days and 30 calls a day on 2 days. What is the average number of calls a day over the 5 days? Answer: 24 calls. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up log shows 18, 24, 21, 30 and 27 calls on five days. What is the average number of calls a day? Answer: 24 calls. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up unit averages 36 calls a day. At that average, how many calls does it take in a 7-day week? Answer: 252 calls. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A squad of 8 officers averages 15 reports each in a made-up month. How many reports does the squad file in all? Answer: 120 reports. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A station counts 12, 9, 15, 11 and 13 walk-in reports on five days of a made-up week. What is the average for a day? Answer: 12 reports. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • For this drill, a car reaches three calls in 6 minutes, 9 minutes and 12 minutes. What is the average time to reach a call? Answer: 9 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Four desk officers answer 7, 11, 8 and 10 phone calls in the same hour. What is the average for one officer? Answer: 9 calls. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • In a made-up month, four officers file 22, 18, 25 and 15 reports. What is the average number of reports for one officer? Answer: 20 reports. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Over 3 months a unit averages 45 training hours a month. Two of the monthly totals are 52 and 38. What is the third? Answer: 45 hours. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Over 4 weeks a unit averages 30 calls a week. Three of the weekly totals are 25, 34 and 28. What is the fourth? Answer: 33 calls. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Over 5 days a desk averages 16 visitors a day. Four of the daily counts are 14, 19, 12 and 20. What is the fifth? Answer: 15 visitors. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part

Elapsed time 12

  • A call comes in at 9:50 p.m. and the report on it is filed at 11:25 p.m. the same night. How much time passed between the two? Answer: 1 hour 35 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A desk log shows a visitor signed in at 11:35 a.m. and signed out at 2:20 p.m. the same day. How long was the visit? Answer: 2 hours 45 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A night post is taken up at 11:15 p.m. and held for 8 hours 15 minutes. At what time does it end? Answer: 7:30 a.m. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A patrol leaves the station at 10:45 p.m. and returns at 1:05 a.m. the next morning. How long was it out? Answer: 2 hours 20 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A report gives 8:40 a.m. as the time a car was parked and 11:15 a.m., the same morning, as the time the owner came back to it. How much time is between the two? Answer: 2 hours 35 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A report logged at 2:10 p.m. describes a call that came in 45 minutes earlier. At what time did the call come in? Answer: 1:25 p.m. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A report logged at 12:20 a.m. describes a call that came in 50 minutes earlier. At what time did the call come in? Answer: 11:30 p.m. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A tour of duty begins at 3:45 p.m. and lasts 8 hours 35 minutes. When does it end? Answer: 12:20 a.m. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A tour of duty begins at 7:30 a.m. and lasts 8 hours 30 minutes. When does it end? Answer: 4:00 p.m. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An alarm is logged at 6:15 a.m. and reset at 6:52 a.m. the same morning. How much time passed? Answer: 37 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An officer spends 35 minutes on one call, 50 minutes on a second and 1 hour 20 minutes on a third. How much time is that in all? Answer: 2 hours 45 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Three reports take 25 minutes, 40 minutes and 55 minutes to write. How much time is that in all? Answer: 2 hours. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part

Speed, distance and time 12

  • A boat on a made-up harbor patrol covers 14 miles in 24 minutes at a steady speed. What is that speed? Answer: 35 miles an hour. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A car covers 9 miles in 12 minutes at a steady speed. What is that speed? Answer: 45 miles an hour. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A car covers 21 miles in 30 minutes at a steady speed. What is that speed? Answer: 42 miles an hour. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A car on a made-up route covers 12 miles in 15 minutes at a steady speed. What is that speed? Answer: 48 miles an hour. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An officer on a bicycle post rides at a steady 12 miles an hour for 25 minutes. How far does the officer ride? Answer: 5 miles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An officer on a bicycle post rides at a steady 12 miles an hour. How long does it take to ride 5 miles? Answer: 25 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An officer walks a foot post at a steady 3 miles an hour for 40 minutes. How far does the officer walk? Answer: 2 miles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • At a steady 32 miles an hour, how long does a car take to cover 8 miles? Answer: 15 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • At a steady 45 miles an hour, how long does a car take to cover 15 miles? Answer: 20 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • At a steady 54 miles an hour, how long does a car take to cover 27 miles? Answer: 30 minutes. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • For this drill, a car travels at a steady 45 miles an hour for 40 minutes. How many miles does it cover? Answer: 30 miles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • For this drill, a patrol car holds a steady 30 miles an hour for 20 minutes. How far does it travel? Answer: 10 miles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part

Percentages 12

  • A made-up class of 60 recruits takes a written quiz, and 85 percent pass. How many recruits do not pass? Answer: 9 recruits. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up equipment budget is $24,000, and 15 percent of it is set aside for radios. How many dollars is that? Answer: $3,600. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up log holds 180 reports, and 45 of them are traffic reports. What percent of the reports are traffic reports? Answer: 25 percent. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up training budget is $8,500, and 20 percent of it is spent on first aid classes. How many dollars is that? Answer: $1,700. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up unit takes 320 calls in June and 15 percent more in July. How many calls does it take in July? Answer: 368 calls. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up vehicle budget is $36,000, and 35 percent of it goes to fuel. How many dollars go to fuel? Answer: $12,600. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A radio with a list price of $1,200 is bought at 5 percent off. What price is paid? Answer: $1,140. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A unit's made-up overtime falls from 400 hours one month to 340 hours the next. What is the percent decrease? Answer: 15 percent. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • In a made-up town, calls about parking rise from 160 one month to 200 the next. What is the percent increase? Answer: 25 percent. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • In a made-up town, reports of lost property fall from 250 last year to 200 this year. What is the percent decrease? Answer: 20 percent. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Of 150 parking tickets in a made-up month, 63 are for expired meters. What percent are for expired meters? Answer: 42 percent. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Of 240 calls in a made-up week, 36 are about noise. What percent of the calls are about noise? Answer: 15 percent. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part

Unit rates 12

  • A clerk files 96 reports in 8 hours at a steady rate. How many reports is that an hour? Answer: 12 reports. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A copier prints 45 pages every 3 minutes. At that rate, how many pages does it print in 20 minutes? Answer: 300 pages. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A crossing post counts 450 cars in 3 hours at a steady rate. How many cars is that an hour? Answer: 150 cars. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A desk officer takes 5 calls every 20 minutes at a steady rate. At that rate, how many calls does the officer take in 2 hours? Answer: 30 calls. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A patrol car uses 14 gallons of fuel to go 294 miles. How many miles does it go on one gallon? Answer: 21 miles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A patrol car uses 15 gallons of fuel to go 240 miles. How many miles does it go on one gallon? Answer: 16 miles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A van uses 15 gallons of fuel to go 345 miles. How many miles does it go on one gallon? Answer: 23 miles. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An officer on a made-up parking detail writes 42 tickets in 6 hours at a steady rate. How many tickets is that an hour? Answer: 7 tickets. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • For this drill, a patrol car uses 2 gallons of fuel every 50 miles. At that rate, how many gallons does it use in 225 miles? Answer: 9 gallons. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Four flashlights cost $72. At that price, what do 7 flashlights cost? Answer: $126. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Six boxes of report forms cost $54. At that price, what do 10 boxes cost? Answer: $90. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Twelve traffic cones cost $96. At that price, what do 30 cones cost? Answer: $240. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part

Fractions 12

  • A fuel gauge reads 3/4 of a tank at the start of a shift and 1/4 at the end. What fraction of a tank was used? Answer: 1/2. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A fuel tank is 1/8 full, and half a tank is added. What fraction of the tank is full now? Answer: 5/8. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A lot holds 45 patrol cars, and 2/5 of them are out on the road. How many cars are out on the road? Answer: 18 cars. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up class has 56 recruits, and 5/8 of them have finished the driving course. How many have finished it? Answer: 35 recruits. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A made-up squad has 48 officers, and 3/4 of them are on patrol today. How many officers are on patrol? Answer: 36 officers. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • A recruit spends 2/5 of a 10-hour training day in class and 1/2 of it on the driving course. How many hours are left for everything else? Answer: 1 hour. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An officer spends 1/3 of a 12-hour shift at a fixed post and 1/2 of it on patrol. How many hours are left for everything else? Answer: 2 hours. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • An officer spends 1/4 of an 8-hour shift on reports and 1/2 of it on patrol. How many hours are left for everything else? Answer: 2 hours. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Of 24 calls in a made-up log, 18 are about parking. What fraction of the calls is that, in lowest terms? Answer: 3/4. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Of 40 reports in a made-up week, 15 are filed late. What fraction of the reports is that, in lowest terms? Answer: 3/8. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • Of 42 radios in a made-up unit, 28 are new. What fraction of the radios is that, in lowest terms? Answer: 2/3. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part
  • One report takes 1/3 of an hour to write and another takes 1/2 of an hour. What fraction of an hour do the two take together? Answer: 5/6. Source: Own question; the answer is in the question itself and is worked out again. Skill: Number Facility and Mathematical Reasoning, as named in the New York City notice of examination for Correction Officer, Exam No. 7302. No police exam notice read for this page lists a math part

How this list was compiled: Our own word problems. Every number, log, budget and count is made up for the drill and none is a real statistic. The answer to each is arithmetic on the numbers in the question, worked out twice (2026-10-04). The skills are of the kind the New York City notice of examination for Correction Officer, Exam No. 7302, calls Number Facility and Mathematical Reasoning (https://www.nyc.gov/assets/dcas/downloads/pdf/noes/20277302000.pdf, read 2026-10-04); no police exam notice read for this page lists a math part. Licence: Questions, choices and explanations are original work of this site.

How it works

These police test math questions are 84 word problems of our own, set in made-up logs, shifts and patrols. Every answer is worked out step by step. They are general practice: no exam is said to contain them.

Read the full guide

What the notices say

New York City's police officer notice for Exam No. 7311 to 7322 lists nine abilities and no math part, though its Information Ordering ability can include putting mathematical operations in order. New York State's entry-level law enforcement test guide lists no math subject. The city's Correction Officer notice for Exam No. 7302, open September 2 to October 27, 2026, lists Mathematical Reasoning and Number Facility.

Seven topics

The Start from menu under the question sets one: adding and subtracting, averages, elapsed time, speed and distance, percentages, unit rates or fractions, 12 questions each. Every log, budget and count is made up; none is a real statistic.

Paper test

A paper test prints with its answer key. Exam mode draws 20, our number.

  • For elapsed time, count up to the next full hour first, then add the rest.
  • For speed questions, turn the minutes into a part of 60 before you multiply.
  • The Missed pile, under More options, keeps what you got wrong. Clear my progress, under More options, erases what this browser keeps.

Questions and answers

Is there math on the police test?

It depends on the agency. The New York City police officer notice read for this page lists no math part, while the same city's Correction Officer notice lists Mathematical Reasoning and Number Facility. The notice or announcement for your own exam says what it tests.

What is on a police math test?

Where an agency tests math, its notice describes it. New York City's Correction Officer notice describes doing the four operations (add, subtract, multiply, divide) quickly and correctly, and choosing a method to solve a problem. This page drills those skills as word problems.

Is this a real police math practice test?

No. It is unofficial police exam math practice written for this site. No question comes from a real exam, a test publisher or a prep book, and no exam length or pass mark is implied.

Does this work as police numerical test practice?

As general practice, yes. An employer's own numerical test is not copied here; its format, timing and content are set by that employer. The seven topics cover whole numbers, time, speed, percentages, rates and fractions.