Test Prep TEAS Section 3: Math Problem Solving Exam (page: 1)
Test Prep Test of Essential Academic Skills - Math Problem Solving
Updated on: 26-Oct-2025

Given that one Tunnel Boring machine could build 1,000 m of tunnel a month and the Tunnel is 50 km long, how fast could the Tunnel have been built using two Tunnel Boring machines if there had been no delays?

  1. just over 2 years
  2. just under 5 years
  3. about 1 year
  4. just over 4 years

Answer(s): A

Explanation:

In one month, 2,000 m or 2 km of tunnel could be built with 2 machines.
2 km / 1 month = 50 km/x;
2x = 50;
x = 25 months, or just over 2 years.



If Sara can read 15 pages in 10 minutes, how long will it take her to read 45 pages?

  1. 20 minutes
  2. 30 minutes
  3. 50 minutes
  4. 40 minutes

Answer(s): B

Explanation:

The relationship can be expressed as:
15/10 = 45/x;
15x = 450;
x = 30.



Restaurant customers tip their server only 8 percent for poor service. If their tip was $3.70, how much was their bill?

  1. $46.25
  2. $44.60
  3. $40.15
  4. $50.45

Answer(s): A

Explanation:

The total amount of the bill is:
3.70/x = 8/100;
370 = 8x;
x = $46.25.



If Leonard bought 2 packs of batteries for x amount of dollars, how many packs of batteries could he purchase for $5.00 at the same rate?

  1. 10/x
  2. 2x
  3. 2/x
  4. 10x

Answer(s): A

Explanation:

First set the relationship up and solve for the number of packs:
x/2 = 5/packs;
x(packs) = 10;
packs = 10/x.



Choose the algebraic expression that best represents the following situation: Jeral's test score (J) was 5 points higher than half of Kara's test score (K).

  1. K = 1/2 × J − 5
  2. J = 1/2 × K + 5
  3. J = 2K − 5
  4. K = (J −1/2) − 5

Answer(s): B



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