ISAT Quantitative Reasoning with Units 3 — Questions and Answers
Question 1: A cube has side lengths of 0.5 meters. What is its volume in cubic centimeters?
- 125,000 cm³ (Correct answer)
- 12,500 cm³
- 1,250 cm³
- 125 cm³
Correct answer: 125,000 cm³
0.5 m = 50 cm; 50³ = 125,000 cm³.
Question 2: Electricity costs $0.12 per kilowatt-hour. A 1,500-watt heater runs for 8 hours per day. What is the daily electricity cost?
- $1.44 (Correct answer)
- $14.40
- $0.144
- $144.00
Correct answer: $1.44
1,500 W = 1.5 kW; 1.5 × 8 = 12 kWh; 12 × $0.12 = $1.44.
Question 3: A train travels at 180 km/h. How many meters does it travel in 15 seconds?
- 750 m (Correct answer)
- 450 m
- 2,700 m
- 75 m
Correct answer: 750 m
180 km/h = 50 m/s; 50 × 15 = 750 m.
Question 4: A swimming pool holds 500,000 liters of water. If 1 liter of water has a mass of 1 kg, what is the mass of the water in metric tons? (1 metric ton = 1,000 kg)
- 500 metric tons (Correct answer)
- 5,000 metric tons
- 50 metric tons
- 500,000 metric tons
Correct answer: 500 metric tons
500,000 kg ÷ 1,000 = 500 metric tons.
Question 5: A map has a scale of 1:250,000. If two cities are 4.8 cm apart on the map, what is the actual distance in kilometers?
- 12 km (Correct answer)
- 1.2 km
- 120 km
- 0.12 km
Correct answer: 12 km
4.8 cm × 250,000 = 1,200,000 cm = 12 km.
Question 6: A car's fuel efficiency is 35 miles per gallon. Gasoline costs $3.50 per gallon. What is the fuel cost per mile?
- $0.10 (Correct answer)
- $1.00
- $0.35
- $12.25
Correct answer: $0.10
$3.50 ÷ 35 miles = $0.10 per mile.
Question 7: A substance has a density of 8.9 g/cm³. What is its density in kg/m³?
- 8,900 kg/m³ (Correct answer)
- 89 kg/m³
- 890 kg/m³
- 89,000 kg/m³
Correct answer: 8,900 kg/m³
1 g/cm³ = 1,000 kg/m³; 8.9 × 1,000 = 8,900 kg/m³.
ISAT Quantitative Reasoning with Units 3
A cube has side lengths of 0.5 meters.
What is its volume in cubic centimeters?