# Question Answer
1 A fire engine travels 45 miles per 105 miles. Convert 2 h 20 min =
hour for 2 hours and 20 minutes. 2.333 h. Distance = 45 x 2.333 =
How far does it travel? 105 miles.
2 A hose discharges 250 gallons 4,500 gallons. 250 x 18 = 4,500.
per minute. How many gallons
are discharged in 18 minutes?
3 A ladder is 35 feet long. Its base Approximately 33.5 feet. h =
is 10 feet from the wall. How sqrt(35^2 - 10^2) = sqrt(1125) =
high on the wall does it reach? 33.5 ft.
4 A fire station budget is $336,000. 72% of $1,200,000 =
$1,200,000. If salaries account $864,000. Remaining =
for 72%, how much is left for $336,000.
equipment and operations?
5 A tank holds 3,000 gallons. 12 minutes. Net rate = 250
Water is pumped in at 400 gal/min. 3, = 12 min.
gal/min and used at 150 gal/min.
How long to fill from empty?
6 A firefighter earns $52,000/year $55,380. Raise = $3,380. New
and receives a 6.5% raise. What salary = $55,380.
is the new annual salary?
7 A building floor is 80 ft x 120 ft. 9,600 sq ft. 80 x 120 = 9,600.
What is the area in square feet?
8 If 3 firefighters complete a task 4 minutes. 3 x 12 = 36 person-
in 12 minutes, how long will it minutes. = 4 min.
take 9 firefighters?
Page 1 of 28
,# Question Answer
9 A hose weighs 1.5 lbs per foot. 300 lbs. 1.5 x 200 = 300.
How much does 200 feet of
hose weigh?
10 A fire truck uses 6 gallons of 84 gallons. 6 x 14 = 84.
diesel per hour. How many
gallons for a 14-hour shift?
11 If 5 is 20% of a number, what is 25. .20 = 25.
the number?
12 A circular tank has radius 6 ft 1,130.4 cubic feet. V = 3.14 x 36
and depth 10 ft. What is its x 10 = 1,130.4.
volume? (pi = 3.14)
13 What is 15% of 840? 126. 840 x 0.15 = 126.
14 A pump discharges at 1,200 7.5 minutes. 9,,200 = 7.5.
gal/min. How long to empty a
9,000-gallon tank?
15 Solve for x: 4x + 7 = 31 x = 6. 4x = 24; x = 6.
16 A fire company responds to 18 540 calls. 18 x 30 = 540.
calls per day. How many calls in
a 30-day month?
17 A 300-ft hose holds 0.65 gal/ft 3.9 minutes. Total = 195 gal. 195
and drains at 50 gal/min. How / 50 = 3.9 min.
long to drain?
18 What is the perimeter of a 72 ft. P = 2(14 + 22) = 72.
rectangle 14 ft wide and 22 ft
long?
19 A crew lays 250 feet of hose in 4 14 minutes. .5 = 14 min.
minutes. How long to lay 875
feet?
20 A firefighter works 24 hours on 240 hours. Each 72-hr cycle =
and 48 hours off. How many 24 working hrs. 30 days = 10
hours in 30 days? cycles. 10 x 24 = 240.
Page 2 of 28
, # Question Answer
21 A building is 56 feet tall. A ladder 44.8 feet. 56 x 0.80 = 44.8.
reaches 80% of that height. How
high?
22 Convert 3 hours 45 minutes to 225 minutes. 3 x 60 + 45 = 225.
minutes.
23 An engine travels 4.5 miles in 6 45 mph. 4.5 x (60/6) = 45 mph.
minutes. What is its speed in
mph?
24 8 firefighters share a $960 meal $120. = 120.
allowance equally. How much
does each receive?
25 A room is 12 ft x 15 ft x 9 ft. 1,620 cubic feet. 12 x 15 x 9 =
What is the volume? 1,620.
26 A fire hose loses 5 psi per 100 17.5 psi. (350/100) x 5 = 17.5
feet. What is the pressure loss psi.
over 350 feet?
27 4 trucks each need 75 gallons of $960. 4 x 75 = 300 gal. 300 x
fuel at $3.20/gallon. What is the $3.20 = $960.
total cost?
28 The ratio of oxygen to nitrogen 20%. 1 out of 5 parts = 20%.
in air is approximately 1:4. What
percent is oxygen?
29 A firefighter burns 600 1,500 calories. 600 x 2.5 =
calories/hour during active 1,500.
firefighting. How many in 2.5
hours?
30 Solve: + 5 x 3 - 2 25. 12 + 15 - 2 = 25.
31 A cylinder has diameter 8 ft and 602.88 cubic feet. V = 3.14 x 16
height 12 ft. What is the volume? x 12 = 602.88.
(pi = 3.14)
Page 3 of 28
1 A fire engine travels 45 miles per 105 miles. Convert 2 h 20 min =
hour for 2 hours and 20 minutes. 2.333 h. Distance = 45 x 2.333 =
How far does it travel? 105 miles.
2 A hose discharges 250 gallons 4,500 gallons. 250 x 18 = 4,500.
per minute. How many gallons
are discharged in 18 minutes?
3 A ladder is 35 feet long. Its base Approximately 33.5 feet. h =
is 10 feet from the wall. How sqrt(35^2 - 10^2) = sqrt(1125) =
high on the wall does it reach? 33.5 ft.
4 A fire station budget is $336,000. 72% of $1,200,000 =
$1,200,000. If salaries account $864,000. Remaining =
for 72%, how much is left for $336,000.
equipment and operations?
5 A tank holds 3,000 gallons. 12 minutes. Net rate = 250
Water is pumped in at 400 gal/min. 3, = 12 min.
gal/min and used at 150 gal/min.
How long to fill from empty?
6 A firefighter earns $52,000/year $55,380. Raise = $3,380. New
and receives a 6.5% raise. What salary = $55,380.
is the new annual salary?
7 A building floor is 80 ft x 120 ft. 9,600 sq ft. 80 x 120 = 9,600.
What is the area in square feet?
8 If 3 firefighters complete a task 4 minutes. 3 x 12 = 36 person-
in 12 minutes, how long will it minutes. = 4 min.
take 9 firefighters?
Page 1 of 28
,# Question Answer
9 A hose weighs 1.5 lbs per foot. 300 lbs. 1.5 x 200 = 300.
How much does 200 feet of
hose weigh?
10 A fire truck uses 6 gallons of 84 gallons. 6 x 14 = 84.
diesel per hour. How many
gallons for a 14-hour shift?
11 If 5 is 20% of a number, what is 25. .20 = 25.
the number?
12 A circular tank has radius 6 ft 1,130.4 cubic feet. V = 3.14 x 36
and depth 10 ft. What is its x 10 = 1,130.4.
volume? (pi = 3.14)
13 What is 15% of 840? 126. 840 x 0.15 = 126.
14 A pump discharges at 1,200 7.5 minutes. 9,,200 = 7.5.
gal/min. How long to empty a
9,000-gallon tank?
15 Solve for x: 4x + 7 = 31 x = 6. 4x = 24; x = 6.
16 A fire company responds to 18 540 calls. 18 x 30 = 540.
calls per day. How many calls in
a 30-day month?
17 A 300-ft hose holds 0.65 gal/ft 3.9 minutes. Total = 195 gal. 195
and drains at 50 gal/min. How / 50 = 3.9 min.
long to drain?
18 What is the perimeter of a 72 ft. P = 2(14 + 22) = 72.
rectangle 14 ft wide and 22 ft
long?
19 A crew lays 250 feet of hose in 4 14 minutes. .5 = 14 min.
minutes. How long to lay 875
feet?
20 A firefighter works 24 hours on 240 hours. Each 72-hr cycle =
and 48 hours off. How many 24 working hrs. 30 days = 10
hours in 30 days? cycles. 10 x 24 = 240.
Page 2 of 28
, # Question Answer
21 A building is 56 feet tall. A ladder 44.8 feet. 56 x 0.80 = 44.8.
reaches 80% of that height. How
high?
22 Convert 3 hours 45 minutes to 225 minutes. 3 x 60 + 45 = 225.
minutes.
23 An engine travels 4.5 miles in 6 45 mph. 4.5 x (60/6) = 45 mph.
minutes. What is its speed in
mph?
24 8 firefighters share a $960 meal $120. = 120.
allowance equally. How much
does each receive?
25 A room is 12 ft x 15 ft x 9 ft. 1,620 cubic feet. 12 x 15 x 9 =
What is the volume? 1,620.
26 A fire hose loses 5 psi per 100 17.5 psi. (350/100) x 5 = 17.5
feet. What is the pressure loss psi.
over 350 feet?
27 4 trucks each need 75 gallons of $960. 4 x 75 = 300 gal. 300 x
fuel at $3.20/gallon. What is the $3.20 = $960.
total cost?
28 The ratio of oxygen to nitrogen 20%. 1 out of 5 parts = 20%.
in air is approximately 1:4. What
percent is oxygen?
29 A firefighter burns 600 1,500 calories. 600 x 2.5 =
calories/hour during active 1,500.
firefighting. How many in 2.5
hours?
30 Solve: + 5 x 3 - 2 25. 12 + 15 - 2 = 25.
31 A cylinder has diameter 8 ft and 602.88 cubic feet. V = 3.14 x 16
height 12 ft. What is the volume? x 12 = 602.88.
(pi = 3.14)
Page 3 of 28
