FREE NFST Mathematical Reasoning Question and Answers

What size ladder is required to reach the top floor of a six-story apartment building if the average height of a story in a residential apartment building is 13 feet?

65 ft.

78 ft.

91 ft.

52 ft.

Correct! Wrong!

There are just 6 firefighters at a local fire department. They all have quite diverse physical attributes. Lanie is 200 pounds, Fred is 250 pounds, Shawn is 150 pounds, Mike 180 pounds, Ben is 190 pounds, Mike is 140 pounds, and Lanie is 200 pounds.
What is the weight of a typical firefighter?

175 pounds

180 pounds

185 pounds

190 pounds

Correct! Wrong!

Explanation:
To find the average weight of the firefighters, first find the sum of their weight and the divide by the number of firefighters:
180 + 190 + 140 + 200 + 250 + 150 = 1,110
1,110/6 = 185
The average weight of the firefighters is 185 pounds

The proportion of water to foam concentrate to create a good water foam solution is 40:1. 1 640 gallons of water foam solution need to be mixed with how much foam concentrate?

29 gallons

49 gallons

40 gallons

30 gallons

Correct! Wrong!

Explanation:
The ratio of 40:1 means that every 40 gallons of water there should be 1 gallon of foam concentrate, meaning that there are a total 41 parts: 40 parts water and 1 part foam concentrate. So we have to divide 1,640 by 41 to find how much 1 part is:
1,640 / 41 = 40 gallons of foam concentrate

12 gallons of fuel were injected into one tank, 17 gallons into the next, and 21 gallons into the final tank by a firefighter.
How much gasoline did the firefighters pump—in gallons?

Correct! Wrong!

Explanation:
To solve the question you have to add up the three amounts of fuel pumped: 12 +17 + 21 = 50

Choose the statement that best explains the link between the length of the hose and the number of firefighters required to carry it using the table below.

One more worker is required for every 40 feet of hose length that is added.

The fewer firefighters required to carry the hose, the longer it was.

The number of firefighters required to carry an additional 40 feet of hose is tripled.

The number of firefighters required to carry a hose that is 40 feet longer is doubled.

Correct! Wrong!

Candidates taking a physical fitness exam to become a firefighter must be able to carry an oxygen tank and a 150-foot fire hose to the top of a mock-burning structure. Choose the statement from the following table that best explains the connection between the number of floors and the travel time between them.

As the time increased by two seconds, the number of floors reached is decreased.

The longer the time, the more floors climbed.

As the time increased by two seconds, the number of floors reached is doubled.

The longer the time, the fewer floor climbed.

Correct! Wrong!

A smoke-filled room has no obvious entryway. A 5-foot by 6-foot opening in the wall is made by the firefighter using a hatchet.
How big is the opening?

15 sq. ft

20 sq. ft.

30 sq. ft.

10 sq. ft.

Correct! Wrong!

FREE NFST Mathematical Reasoning Question and Answers

What size ladder is required to reach the top floor of a six-story apartment building if the average height of a story in a residential apartment building is 13 feet?

There are just 6 firefighters at a local fire department. They all have quite diverse physical attributes. Lanie is 200 pounds, Fred is 250 pounds, Shawn is 150 pounds, Mike 180 pounds, Ben is 190 pounds, Mike is 140 pounds, and Lanie is 200 pounds. What is the weight of a typical firefighter?

The proportion of water to foam concentrate to create a good water foam solution is 40:1. 1 640 gallons of water foam solution need to be mixed with how much foam concentrate?

12 gallons of fuel were injected into one tank, 17 gallons into the next, and 21 gallons into the final tank by a firefighter. How much gasoline did the firefighters pump—in gallons?

Choose the statement that best explains the link between the length of the hose and the number of firefighters required to carry it using the table below.

A smoke-filled room has no obvious entryway. A 5-foot by 6-foot opening in the wall is made by the firefighter using a hatchet. How big is the opening?

Related Post

There are just 6 firefighters at a local fire department. They all have quite diverse physical attributes. Lanie is 200 pounds, Fred is 250 pounds, Shawn is 150 pounds, Mike 180 pounds, Ben is 190 pounds, Mike is 140 pounds, and Lanie is 200 pounds.
What is the weight of a typical firefighter?

12 gallons of fuel were injected into one tank, 17 gallons into the next, and 21 gallons into the final tank by a firefighter.
How much gasoline did the firefighters pump—in gallons?

A smoke-filled room has no obvious entryway. A 5-foot by 6-foot opening in the wall is made by the firefighter using a hatchet.
How big is the opening?