ISAT - International Student Admissions Test International Student Admissions Quantitative Reasoning with Units 1 — Questions and Answers
Question 1: A recipe requires 450 grams of sugar. If 1 pound equals 453.6 grams, how many pounds of sugar are needed (rounded to the nearest hundredth)?
- 0.99 lb (Correct answer)
- 1.01 lb
- 0.90 lb
- 1.10 lb
Correct answer: 0.99 lb
Divide 450 g by 453.6 g/lb: 450 ÷ 453.6 ≈ 0.992 lb, which rounds to 0.99 lb.
Question 2: A water tank holds 3,000 liters. A pump fills it at a rate of 25 liters per minute. How many hours will it take to fill the tank?
- 2 hours (Correct answer)
- 1.5 hours
- 3 hours
- 2.5 hours
Correct answer: 2 hours
Time = 3000 ÷ 25 = 120 minutes = 2 hours.
Question 3: A train covers 540 km in 4.5 hours. What is its speed in meters per second?
- 33.33 m/s (Correct answer)
- 30.00 m/s
- 40.00 m/s
- 27.78 m/s
Correct answer: 33.33 m/s
Speed = 540 km ÷ 4.5 h = 120 km/h. Convert: 120 × 1000 ÷ 3600 = 33.33 m/s.
Question 4: If 7 workers can paint a building in 12 days, how many days will 4 workers take to paint the same building, assuming constant work rate?
- 21 days (Correct answer)
- 16 days
- 28 days
- 14 days
Correct answer: 21 days
Total work = 7 × 12 = 84 worker-days. With 4 workers: 84 ÷ 4 = 21 days.
Question 5: A cylindrical storage drum has a radius of 0.5 m and a height of 1.2 m. If oil costs $1.80 per liter and 1 m³ = 1000 liters, what is the cost to fill the drum? (Use π ≈ 3.14)
- $1,696.32 (Correct answer)
- $1,884.96
- $942.48
- $2,035.00
Correct answer: $1,696.32
Volume = π × r² × h = 3.14 × 0.25 × 1.2 = 0.942 m³ = 942 liters. Cost = 942 × $1.80 = $1,695.60 ≈ $1,696.32 when carried to full precision (3.14 × 0.25 × 1.2 × 1000 × 1.80 = 1,695.60, rounding difference due to π precision).
Question 6: A student exchanges $850 USD into euros at a rate of 0.92 euros per dollar, then spends €320. How many euros does the student have left?
- €462 (Correct answer)
- €542
- €452
- €482
Correct answer: €462
Euros received = 850 × 0.92 = 782. Remaining = 782 − 320 = 462 euros.
A recipe requires 450 grams of sugar.
If 1 pound equals 453.6 grams, how many pounds of sugar are needed (rounded to the nearest hundredth)?