HBS HBS Mathematics 1 — Questions and Answers
Question 1: A train travels 240 miles in 3 hours. What is its average speed in miles per hour?
- 60 mph
- 80 mph (Correct answer)
- 70 mph
- 90 mph
Correct answer: 80 mph
Average speed = distance ÷ time = 240 ÷ 3 = 80 mph.
Question 2: What is 15% of 240?
- 30
- 36 (Correct answer)
- 24
- 42
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 3: A rectangle has a perimeter of 56 cm. If its length is 18 cm, what is its width?
- 8 cm
- 10 cm (Correct answer)
- 12 cm
- 14 cm
Correct answer: 10 cm
Perimeter = 2(length + width), so 56 = 2(18 + w), giving w = 10 cm.
Question 4: What is the value of 7² + 5²?
- 144
- 49
- 74 (Correct answer)
- 100
Correct answer: 74
7² = 49 and 5² = 25, so 49 + 25 = 74.
Question 5: If a bag contains 4 red, 6 blue, and 2 green marbles, what fraction of the marbles are blue?
- 1/2 (Correct answer)
- 1/3
- 2/3
- 3/4
Correct answer: 1/2
Total marbles = 12; blue = 6; fraction = 6/12 = 1/2.
Question 6: What is the smallest prime number greater than 20?
- 21
- 22
- 23 (Correct answer)
- 25
Correct answer: 23
23 is prime (divisible only by 1 and itself); 21 = 3×7, 22 = 2×11, 25 = 5×5.
A train travels 240 miles in 3 hours.
What is its average speed in miles per hour?