Police Math Test Cheat Sheet 2026

The 30 highest-yield Police Math Test facts, distilled from real exam questions. Print it, save it as a PDF, or study it here — free, no sign-up.

1. A patrol officer makes 12 arrests over 4 weeks. What is the average number of arrests per week? → 3
2. A patrol car travels 162 miles in 3 hours. What is its average speed in miles per hour? → 54 mph
3. An officer drives 3/4 of a 60-mile route. How many miles remain? → 15 miles
4. A bar graph shows 80 vehicles inspected, with 20 failing. What percent passed inspection? → 75%
5. A jail houses inmates and guards in a ratio of 10 to 1. If there are 240 inmates, how many guards are required? → 24
6. A precinct's monthly budget is $45,000. If 35% is spent on operations, how much remains? → $29,250
7. A barricade forms an equilateral triangle with each side measuring 11 feet. What is its perimeter? → 33 feet
8. If 3 officers can search a building in 6 hours, how long for 6 officers working at the same rate? → 3 hours
9. An officer fires 15 rounds and hits the target 12 times. What is the hit percentage? → 80%
10. An evidence locker has 144 items. If they are stored in boxes of 12, how many boxes are needed? → 12
11. An officer types 540 words in 9 minutes. What is the rate per minute? → 60 wpm
12. A blood alcohol limit is 0.08%. A reading of 0.12% exceeds the limit by what percentage of the limit? → 50%
13. A police car costs $32,000, and the department receives a 15% municipal discount. What is the final cost? → $27,200
14. If the perimeter of a square crime scene is 64 meters, how long is each side? → 16 m
15. A pie chart shows traffic stops: 40% speeding, 30% equipment, 20% signals, 10% other. If there were 500 stops, how many were for signals? → 100
16. A drug seizure is divided into evidence and disposal in a ratio of 1 to 4. If 250 grams total, how many grams go to evidence? → 50
17. A patrol car travels n miles per hour. If it covers 80 miles in 2 hours, what is n? → 40
18. A speed limit is 65 mph. A driver is clocked going 89 mph. How many mph over the limit? → 24 mph
19. A confiscated weight is 4 pounds. How many ounces is that? → 64 ounces
20. Which of the following ratios is NOT equivalent to 4:6? → 16:20
21. A patrol car accelerates from 0 to 60 mph in 8 seconds. What is the average acceleration in mph per second? → 7.5 mph/s
22. A patrol officer issues 14 citations on Monday, 9 on Tuesday, and 17 on Wednesday. How many citations were issued in total? → 40
23. Subtract: 3/4 − 1/8. → 5/8
24. A dispatcher handles 360 calls over 5 days. What is the average number of calls per day? → 72
25. A department spends $18,000 per month on equipment. How much is spent over 9 months? → $162,000
26. A patrol route is 9 miles and is driven 5 times in a shift. What is the total distance? → 45 miles
27. A road sign lists a distance of 2 kilometers. Approximately how many miles is that? → 1.2 miles
28. A frequency table shows ages of suspects: 20s = 12, 30s = 8, 40s = 5. What is the mode age group? → 20s
29. A wall is 20 feet long and 8 feet high. If one can of paint covers 50 square feet, how many cans are needed? → 4 cans
30. A blood alcohol sample is 250 milliliters. How many liters is that? → 0.25 L