FCTC Numerical Reasoning 5

Question 1

A fire department's budget increased from $2,400,000 to $2,760,000. What is the percentage increase?

Accepted Answer

15%

Answer

(2,760,000 − 2,400,000) ÷ 2,400,000 × 100 = 360,000 ÷ 2,400,000 × 100 = 15%.

Question 2

A pump operates at 1,500 GPM (gallons per minute). If a fire requires 600 GPM, what fraction of pump capacity is being used?

Accepted Answer

2/5

Answer

600 ÷ 1,500 = 2/5 of capacity.

Question 3

A firefighter completes a training course in 2 hours 45 minutes. A second firefighter takes 15% longer. How long does the second firefighter take?

Accepted Answer

3 hours 9 min 45 sec

Answer

165 min × 1.15 = 189.75 minutes = 3 hours 9 min 45 seconds.

Question 4

A fire truck travels 8 miles to a scene at an average speed of 48 mph. How many minutes does the trip take?

Accepted Answer

10 minutes

Answer

Time = 8 ÷ 48 hours = 1/6 hour = 10 minutes.

Question 5

A department has 240 firefighters. If 35% are assigned to daytime shifts, how many firefighters work at night or on other shifts?

Accepted Answer

156

Answer

35% of 240 = 84 on daytime; 240 − 84 = 156 on other shifts.

FCTC Test Practice Test