QPSea QPSea Numeracy and Mathematical Reasoning 2 — Questions and Answers
Question 1: A suspect fled on foot at 6 km/h. An officer gave chase 5 minutes later at 10 km/h. How many minutes will it take the officer to catch the suspect?
- 6.5 minutes
- 7.5 minutes (Correct answer)
- 8.5 minutes
- 9.5 minutes
Correct answer: 7.5 minutes
The suspect has a 0.5 km head start (6 km/h × 5/60 h); the officer closes the gap at 4 km/h, taking 0.125 hours = 7.5 minutes.
Question 2: A fingerprint database contains 4,200 records. A new intake adds 15% more records. How many records are in the database after the intake?
- 4,410
- 4,620
- 4,830 (Correct answer)
- 5,040
Correct answer: 4,830
15% of 4,200 is 630, and adding this to 4,200 gives 4,830 records.
Question 3: An officer submits 4 incident reports per day for 5 weekdays. The station target is 25 reports per week. By how many reports does the officer exceed the target?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
4 reports × 5 days = 20, but that falls short; 4 × 5 = 20 which is 5 below 25, so the officer meets exactly 20, missing by 5.
Question 4: A budget of $9,600 is shared equally between 4 police units. How much does each unit receive?
- $2,200
- $2,400 (Correct answer)
- $2,600
- $2,800
Correct answer: $2,400
Dividing $9,600 by 4 units gives $2,400 per unit.
Question 5: A sequence of call numbers follows the pattern: 102, 106, 110, 114, ___. What is the next number?
- 116
- 117
- 118 (Correct answer)
- 120
Correct answer: 118
Each number increases by 4, so 114 + 4 = 118.
Question 6: An officer earns $1,250 per week. After a 4% pay rise, what is the new weekly wage?
- $1,290
- $1,295
- $1,300 (Correct answer)
- $1,310
Correct answer: $1,300
4% of $1,250 is $50, so the new wage is $1,250 + $50 = $1,300.
A suspect fled on foot at 6 km/h.
An officer gave chase 5 minutes later at 10 km/h.
How many minutes will it take the officer to catch the suspect?