HSPT Quantitative Skills 2 — Questions and Answers
Question 1: A store marks up items by 40%. If an item costs $25 wholesale, what is the retail price?
- $30
- $35 (Correct answer)
- $40
- $65
Correct answer: $35
40% of $25 = $10 markup. Retail price = $25 + $10 = $35. Alternatively, $25 × 1.40 = $35.
Question 2: What is the median of the set {3, 7, 9, 12, 15}?
- 7
- 9 (Correct answer)
- 9.2
- 12
Correct answer: 9
The median is the middle value when numbers are arranged in order. In this set of 5 numbers, the third number (9) is the median.
Question 3: If a triangle has angles of 45° and 90°, what is the third angle?
- 45° (Correct answer)
- 90°
- 135°
- 180°
Correct answer: 45°
The sum of angles in a triangle is 180°. So the third angle = 180° - 45° - 90° = 45°. This is a 45-45-90 right triangle.
Question 4: What is the greatest common factor of 24 and 36?
- 6
- 8
- 12 (Correct answer)
- 4
Correct answer: 12
Factors of 24: 1,2,3,4,6,8,12,24. Factors of 36: 1,2,3,4,6,9,12,18,36. The greatest common factor is 12.
Question 5: A car travels 180 miles in 3 hours. What is its average speed?
- 30 mph
- 45 mph
- 60 mph (Correct answer)
- 90 mph
Correct answer: 60 mph
Average speed = distance ÷ time = 180 miles ÷ 3 hours = 60 miles per hour.
Question 6: What number is 3/4 of 2/3 of 120?
- 40
- 60 (Correct answer)
- 80
- 90
Correct answer: 60
First find 2/3 of 120 = 80. Then find 3/4 of 80 = 60. Alternatively, (3/4) × (2/3) × 120 = (6/12) × 120 = 60.
HSPT Quantitative Skills 2
A store marks up items by 40%.
If an item costs $25 wholesale, what is the retail price?