TAP Applied Mathematics 2 — Questions and Answers
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?
- 150 miles
- 175 miles (Correct answer)
- 200 miles
- 125 miles
Correct answer: 175 miles
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?
- 85
- 86 (Correct answer)
- 88
- 84
Correct answer: 86
(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?
- 24 days
- 6 days (Correct answer)
- 8 days
- 4 days
Correct answer: 6 days
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?
- 60°
- 70° (Correct answer)
- 80°
- 90°
Correct answer: 70°
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?
- $16.00
- $17.00
- $18.00 (Correct answer)
- $19.00
Correct answer: $18.00
Unit cost = $7.20 ÷ 4 = $1.80; 10 × $1.80 = $18.00.
Question 6: On the TAP, a cylindrical container has a radius of 3 inches and height of 10 inches. Using π ≈ 3.14, what is the volume?
- 188.4 cubic inches
- 282.6 cubic inches (Correct answer)
- 94.2 cubic inches
- 376.8 cubic inches
Correct answer: 282.6 cubic inches
V = π r² h = 3.14 × 9 × 10 = 282.6 cubic inches.
TAP Applied Mathematics 2
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?