AFOQT Math 3 — Questions and Answers
Question 1: If the ratio of boys to girls in a class is 3:2 and there are 30 students, how many boys are there?
- 12
- 15
- 18 (Correct answer)
- 20
Correct answer: 18
The ratio totals 5 parts, so each part is 6, and boys = 3 × 6 = 18.
Question 2: What is the next number in the sequence: 2, 6, 18, 54, ...?
- 108
- 162 (Correct answer)
- 216
- 72
Correct answer: 162
Each term is multiplied by 3, so 54 × 3 = 162.
Question 3: A triangle has angles of 40° and 75°. What is the third angle?
- 55°
- 65° (Correct answer)
- 75°
- 45°
Correct answer: 65°
Angles of a triangle sum to 180°, so 180 − 40 − 75 = 65°.
Question 4: If 5 workers build a wall in 12 days, how long would 10 workers take at the same rate?
- 6 days (Correct answer)
- 24 days
- 10 days
- 8 days
Correct answer: 6 days
Doubling the workers halves the time, so 12 ÷ 2 = 6 days.
Question 5: What is √144?
- 11
- 12 (Correct answer)
- 14
- 13
Correct answer: 12
12 × 12 = 144, so the square root is 12.
Question 6: Evaluate: 8 + 6 × 2 − 4.
- 16 (Correct answer)
- 24
- 12
- 20
Correct answer: 16
Following order of operations, 6 × 2 = 12, then 8 + 12 − 4 = 16.
Question 7: A map scale is 1 inch = 50 miles. How many miles do 3.5 inches represent?
- 150 miles
- 175 miles (Correct answer)
- 200 miles
- 125 miles
Correct answer: 175 miles
Multiply 3.5 × 50 = 175 miles.
AFOQT Math 3
If the ratio of boys to girls in a class is 3:2 and there are 30 students, how many boys are there?