FCTC Test Firefighter Mathematical Problems Questions and Answers 2

Question 1

A pump is flowing 200 GPM at 150 psi. If the flow rate doubles to 400 GPM, approximately how does friction loss change? (Friction loss increases with the square of flow rate.)

Accepted Answer

Quadruples

Answer

Doubles

Answer

Triples

Answer

Stays the same

Question 2

A building has three floors each 12 feet tall. What is the elevation pressure in psi that must be added to pump pressure? (Use 0.434 psi per foot)

Accepted Answer

15.6 psi

Answer

10.0 psi

Answer

11.5 psi

Answer

13.0 psi

Question 3

A 2.5-inch hose carries 250 GPM total. A firefighter splits the flow equally into two 1.75-inch lines. How much does each line carry?

Accepted Answer

125 GPM

Answer

100 GPM

Answer

150 GPM

Answer

200 GPM

Question 4

A firefighter's hourly pay rate is $28.50. If they work a 24-hour shift, what is their gross pay for that shift?

Accepted Answer

$684.00

Answer

$570.00

Answer

$712.00

Answer

$750.00

Question 5

The required fire flow for a 4,800 square foot building is calculated using the NFA formula: GPM equals area divided by 3. What is the required GPM?

Accepted Answer

1,600 GPM

Answer

800 GPM

Answer

1,200 GPM

Answer

2,400 GPM

Question 6

A ladder is leaned against a wall using the 4:1 climbing angle rule (1 foot of base distance for every 4 feet of vertical height). If the top of the ladder is 16 feet high, how far from the wall is the base?

Accepted Answer

4 feet

Answer

2 feet

Answer

8 feet

Answer

16 feet