ISAT - International Student Admissions Quantitative Reasoning with Units 2 — Questions and Answers
Question 1: A car travels at 72 km/h. Express this speed in meters per second.
- 20 m/s (Correct answer)
- 25 m/s
- 15 m/s
- 30 m/s
Correct answer: 20 m/s
72 km/h x 1000/3600 = 20 m/s.
72 x 1000 / 3600 = 20 m/s. Shortcut: divide by 3.6.
Question 2: 2.5 cups flour makes 12 cookies. How many cups for 78 cookies?
- 16.25 cups (Correct answer)
- 15.5 cups
- 18 cups
- 14 cups
Correct answer: 16.25 cups
2.5/12 x 78 = 16.25 cups.
Proportion: 2.5/12 = x/78. x = 195/12 = 16.25 cups.
Question 3: Pool: 25m x 10m x 2m. Water costs $0.003/liter. Cost to fill completely?
- $1,500 (Correct answer)
- $750
- $3,000
- $500
Correct answer: $1,500
Volume = 500 m^3 = 500,000 liters. Cost = 500,000 x 0.003 = $1,500.
500 m^3 = 500,000 liters. $0.003 x 500,000 = $1,500.
Question 4: Athlete runs 100m in 10.5s. At this pace, how long for a mile (1609m)?
- 168.9 seconds (Correct answer)
- 160.9 seconds
- 175.2 seconds
- 150.5 seconds
Correct answer: 168.9 seconds
Speed = 9.524 m/s. Time = 1609/9.524 = 168.9 seconds.
Speed = 100/10.5 = 9.524 m/s. Time = 1609/9.524 = 168.94 seconds.
Question 5: Factory: 450 widgets/hour, each 250g. Metric tons produced in an 8-hour shift?
- 0.9 metric tons (Correct answer)
- 0.45 metric tons
- 9 metric tons
- 900 kg
Correct answer: 0.9 metric tons
3600 widgets x 250g = 900,000g = 900kg = 0.9 metric tons.
3600 x 250g = 900kg = 0.9 metric tons.
Question 6: 15g salt in 500mL water. How many grams for 3 liters at same concentration?
- 90 grams (Correct answer)
- 45 grams
- 60 grams
- 75 grams
Correct answer: 90 grams
Concentration = 30g/L. For 3L: 90 grams.
15g/0.5L = 30g/L. For 3L: 30 x 3 = 90g.
ISAT - International Student Admissions Quantitative Reasoning with Units 2
A car travels at 72 km/h.
Express this speed in meters per second.