TAP Applied Mathematics 2

Question 1

A TAP problem: a map uses a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?

Accepted Answer

175 miles

Answer

3.5 inches × 50 miles/inch = 175 miles.

Question 2

On the TAP, a student scores 78, 85, 92, and 89 on four tests. What is the average score?

Accepted Answer

86

Answer

(78 + 85 + 92 + 89) ÷ 4 = 344 ÷ 4 = 86.

Question 3

A TAP applied math question: 5 workers complete a project in 12 days. How many days would it take 10 workers at the same rate?

Accepted Answer

6 days

Answer

Doubling the workers halves the time: 12 ÷ 2 = 6 days.

Question 4

On the TAP, a triangle has angles of 45° and 65°. What is the measure of the third angle?

Accepted Answer

70°

Answer

The sum of triangle angles is 180°: 180 − 45 − 65 = 70°.

Question 5

A TAP problem: if 4 notebooks cost $7.20, what is the cost of 10 notebooks?

Accepted Answer

$18.00

Answer

Unit cost = $7.20 ÷ 4 = $1.80; 10 × $1.80 = $18.00.

TAP - Test of Academic Proficiency Practice Test