ASVAB Arithmetic Reasoning Word Problems Practice Test 716102 Results

Your Results Global Average
Questions 5 5
Correct 0 2.74
Score 0% 55%

Review

1

If all of a roofing company's 6 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 5 complete crews out on jobs?

55% Answer Correctly
2
4
3
7

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 6 workers at the company now and that's enough to staff 3 crews so there are \( \frac{6}{3} \) = 2 workers on a crew. 5 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 5 x 2 = 10 total workers to staff the crews during the busy season. The company already employs 6 workers so they need to add 10 - 6 = 4 new staff for the busy season.


2

A triathlon course includes a 300m swim, a 20.8km bike ride, and a 13.9km run. What is the total length of the race course?

69% Answer Correctly
29.6km
53km
35.2km
35km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 20.8km + 13.9km
total distance = 35km


3

Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 16 small cakes per hour. The kitchen is available for 3 hours and 36 large cakes and 390 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

41% Answer Correctly
6
12
13
10

Solution

If a single cook can bake 4 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 4 x 3 = 12 large cakes during that time. 36 large cakes are needed for the party so \( \frac{36}{12} \) = 3 cooks are needed to bake the required number of large cakes.

If a single cook can bake 16 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 16 x 3 = 48 small cakes during that time. 390 small cakes are needed for the party so \( \frac{390}{48} \) = 8\(\frac{1}{8}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 9 = 12 cooks.


4

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Alex buys two shirts, each with a regular price of $40, how much will he pay for both shirts?

57% Answer Correctly
$72.00
$54.00
$32.00
$52.00

Solution

By buying two shirts, Alex will save $40 x \( \frac{20}{100} \) = \( \frac{$40 x 20}{100} \) = \( \frac{$800}{100} \) = $8.00 on the second shirt.

So, his total cost will be
$40.00 + ($40.00 - $8.00)
$40.00 + $32.00
$72.00


5

53% Answer Correctly
1.8
1.4
1
1.6

Solution


1