FCTC FIREFIGHTER CANDIDATE TESTING 2026: 300 PRACTICE QUESTIONS AND ANSWERS
FOR MECHANICAL REASONING AND MATHEMATICS EXAM PREP
FCTC FIREFIGHTER CANDIDATE
TESTING 2026
Mechanical Reasoning & Mathematics
300 Questions & Answers
# QUESTION ANSWER
A fire engine travels 45 miles to a call ✓ 90 miles (45 × 2 = 90)
1 and returns by the same route. What is
the total distance traveled?
A ladder weighs 85 lbs. A firefighter ✓ 255 lbs (85 × 3 = 255)
2 carries 3 identical ladders. What is the
total weight?
A hose section is 50 ft long. A crew ✓ 400 ft (50 × 8 = 400)
3 connects 8 sections. How long is the
hose?
A water tank holds 500 gallons. After ✓ 313 gallons (500 −
4 fighting a fire, 187 gallons remain. How 187 = 313)
many gallons were used?
, A fire truck uses 6 gallons of diesel per ✓ 48 gallons (6 × 8 = 48)
5 hour. How many gallons are used in an
8-hour shift?
A fire station has 4 shifts of 9 firefighters ✓ 36 firefighters (4 × 9 =
6 each. How many firefighters total? 36)
If a pump discharges 250 gallons per ✓ 3,000 gallons (250 ×
7 minute (GPM) for 12 minutes, how many 12 = 3,000)
gallons were discharged?
A nozzle flows 125 GPM. An incident ✓ 4 nozzles (500 ÷ 125 =
8 requires 500 GPM. How many nozzles 4)
are needed?
A fire crew works 24-hour shifts. How ✓ 3 shifts (72 ÷ 24 = 3)
9 many shifts does a firefighter work in 72
hours?
A supply hose delivers 350 GPM. How ✓ 1,750 GPM (350 × 5 =
10 many GPM would 5 identical hoses 1,750)
deliver?
11
A building has 6 floors, each 12 ft high. ✓ 72 ft (6 × 12 = 72)
What is the total height of the building?
12
If 4 firefighters each carry 35 lbs of ✓ 140 lbs (4 × 35 = 140)
equipment, what is the total load?
A pump moves 180 gallons every 3 ✓ 60 GPM (180 ÷ 3 =
13 minutes. How many gallons per minute?
60)
, A hose weighs 2 lbs per foot. How much ✓ 300 lbs (2 × 150 =
14 does 150 ft of hose weigh?
300)
A crew has 48 hours of overtime split ✓ 8 hours (48 ÷ 6 = 8)
15 equally among 6 firefighters. How many
hours each?
A fire station responds to 12 calls in one ✓ 29 calls (12 + 17 = 29)
16 week and 17 calls the next. How many
total calls?
A breathing apparatus tank lasts 30 ✓ 90 minutes (30 × 3 =
17 minutes. If a firefighter uses 3 tanks, how 90)
long can they work?
A ladder truck is 45 ft long and a pumper ✓ 77 ft (45 + 32 = 77)
18 is 32 ft long. What is the combined
length?
A fire station budget is $240,000 per ✓ $20,000 ($240,000 ÷
19 year. What is the monthly budget?
12 = $20,000)
An engine company responded to 365 ✓ 1 call per day (365 ÷
20 calls last year. On average, how many 365 = 1)
calls per day?
A 100-ft aerial ladder is extended to 75 ft. ✓ 25 ft (100 − 75 = 25)
21
How many feet remain retracted?
If a hose line delivers 200 GPM for 15 ✓ 3,000 gallons (200 ×
22 minutes, how many gallons total?
15 = 3,000)
23
A firefighter earns $28 per hour. How ✓ $224 ($28 × 8 = $224)
much does she earn in an 8-hour shift?
, 24
A rescue team of 8 firefighters splits into ✓ 4 pairs (8 ÷ 2 = 4)
pairs. How many pairs are there?
25
A station has 5 fire extinguishers, each ✓ 110 lbs (5 × 22 = 110)
weighing 22 lbs. What is the total weight?
A water tender holds 2,000 gallons. If a ✓ 1,550 gallons (2,000 −
26 fire uses 450 gallons, how much is left?
450 = 1,550)
27
A firefighter runs 3 miles per day for 5 ✓ 15 miles (3 × 5 = 15)
days. How many miles total?
An alarm system has 8 zones and 6 ✓ 48 detectors (8 × 6 =
28 detectors per zone. How many detectors 48)
total?
A supply line is 600 ft and needs to reach ✓ 150 ft (600 − 450 =
29 a hydrant 450 ft away. How much extra 150)
hose?
A pumper holds 750 gallons. How many ✓ 4 loads (3,000 ÷ 750 =
30 full loads are needed to deliver 3,000 4)
gallons?
A firefighter is paid $22/hr and works 56 ✓ $1,232 ($22 × 56 =
31 hours this week. How much does he $1,232)
earn?
A fire hose can withstand 300 psi. A ✓ 175 psi (300 − 125 =
32 pump delivers 125 psi. How much 175)
pressure is remaining before the limit?
FOR MECHANICAL REASONING AND MATHEMATICS EXAM PREP
FCTC FIREFIGHTER CANDIDATE
TESTING 2026
Mechanical Reasoning & Mathematics
300 Questions & Answers
# QUESTION ANSWER
A fire engine travels 45 miles to a call ✓ 90 miles (45 × 2 = 90)
1 and returns by the same route. What is
the total distance traveled?
A ladder weighs 85 lbs. A firefighter ✓ 255 lbs (85 × 3 = 255)
2 carries 3 identical ladders. What is the
total weight?
A hose section is 50 ft long. A crew ✓ 400 ft (50 × 8 = 400)
3 connects 8 sections. How long is the
hose?
A water tank holds 500 gallons. After ✓ 313 gallons (500 −
4 fighting a fire, 187 gallons remain. How 187 = 313)
many gallons were used?
, A fire truck uses 6 gallons of diesel per ✓ 48 gallons (6 × 8 = 48)
5 hour. How many gallons are used in an
8-hour shift?
A fire station has 4 shifts of 9 firefighters ✓ 36 firefighters (4 × 9 =
6 each. How many firefighters total? 36)
If a pump discharges 250 gallons per ✓ 3,000 gallons (250 ×
7 minute (GPM) for 12 minutes, how many 12 = 3,000)
gallons were discharged?
A nozzle flows 125 GPM. An incident ✓ 4 nozzles (500 ÷ 125 =
8 requires 500 GPM. How many nozzles 4)
are needed?
A fire crew works 24-hour shifts. How ✓ 3 shifts (72 ÷ 24 = 3)
9 many shifts does a firefighter work in 72
hours?
A supply hose delivers 350 GPM. How ✓ 1,750 GPM (350 × 5 =
10 many GPM would 5 identical hoses 1,750)
deliver?
11
A building has 6 floors, each 12 ft high. ✓ 72 ft (6 × 12 = 72)
What is the total height of the building?
12
If 4 firefighters each carry 35 lbs of ✓ 140 lbs (4 × 35 = 140)
equipment, what is the total load?
A pump moves 180 gallons every 3 ✓ 60 GPM (180 ÷ 3 =
13 minutes. How many gallons per minute?
60)
, A hose weighs 2 lbs per foot. How much ✓ 300 lbs (2 × 150 =
14 does 150 ft of hose weigh?
300)
A crew has 48 hours of overtime split ✓ 8 hours (48 ÷ 6 = 8)
15 equally among 6 firefighters. How many
hours each?
A fire station responds to 12 calls in one ✓ 29 calls (12 + 17 = 29)
16 week and 17 calls the next. How many
total calls?
A breathing apparatus tank lasts 30 ✓ 90 minutes (30 × 3 =
17 minutes. If a firefighter uses 3 tanks, how 90)
long can they work?
A ladder truck is 45 ft long and a pumper ✓ 77 ft (45 + 32 = 77)
18 is 32 ft long. What is the combined
length?
A fire station budget is $240,000 per ✓ $20,000 ($240,000 ÷
19 year. What is the monthly budget?
12 = $20,000)
An engine company responded to 365 ✓ 1 call per day (365 ÷
20 calls last year. On average, how many 365 = 1)
calls per day?
A 100-ft aerial ladder is extended to 75 ft. ✓ 25 ft (100 − 75 = 25)
21
How many feet remain retracted?
If a hose line delivers 200 GPM for 15 ✓ 3,000 gallons (200 ×
22 minutes, how many gallons total?
15 = 3,000)
23
A firefighter earns $28 per hour. How ✓ $224 ($28 × 8 = $224)
much does she earn in an 8-hour shift?
, 24
A rescue team of 8 firefighters splits into ✓ 4 pairs (8 ÷ 2 = 4)
pairs. How many pairs are there?
25
A station has 5 fire extinguishers, each ✓ 110 lbs (5 × 22 = 110)
weighing 22 lbs. What is the total weight?
A water tender holds 2,000 gallons. If a ✓ 1,550 gallons (2,000 −
26 fire uses 450 gallons, how much is left?
450 = 1,550)
27
A firefighter runs 3 miles per day for 5 ✓ 15 miles (3 × 5 = 15)
days. How many miles total?
An alarm system has 8 zones and 6 ✓ 48 detectors (8 × 6 =
28 detectors per zone. How many detectors 48)
total?
A supply line is 600 ft and needs to reach ✓ 150 ft (600 − 450 =
29 a hydrant 450 ft away. How much extra 150)
hose?
A pumper holds 750 gallons. How many ✓ 4 loads (3,000 ÷ 750 =
30 full loads are needed to deliver 3,000 4)
gallons?
A firefighter is paid $22/hr and works 56 ✓ $1,232 ($22 × 56 =
31 hours this week. How much does he $1,232)
earn?
A fire hose can withstand 300 psi. A ✓ 175 psi (300 − 125 =
32 pump delivers 125 psi. How much 175)
pressure is remaining before the limit?
