ISAT - International Student Admissions Quantitative Reasoning with Units Questions and Answers

Question 1

A solid rectangular block of aluminum has dimensions of 10 cm, 20 cm, and 50 cm. If the density of aluminum is 2.7 g/cm³, what is the mass of the block in kilograms?

Accepted Answer

27 kg

Answer

2.7 kg

Answer

270 kg

Answer

27,000 kg

Question 2

A pump fills a tank at a rate of 50 Liters per minute. The tank has a small leak and loses water at a rate of 250 cubic centimeters per second. What is the net change in the volume of water in the tank over a period of 5 minutes, expressed in Liters?

Accepted Answer

175 L increase

Answer

235 L increase

Answer

250 L increase

Answer

75 L decrease

Question 3

In physics, pressure is defined as force per unit area. The standard unit for pressure is the Pascal (Pa), and the standard unit for force is the Newton (N). Given that 1 Newton is equivalent to 1 kg·m/s², which of the following expressions correctly represents one Pascal in fundamental SI units?

Accepted Answer

kg / (m·s²)

Answer

kg·m² / s²

Answer

kg / (m·s)

Answer

kg·m / s

Question 4

A medication is to be administered at a dosage of 20 milligrams per kilogram of body weight. The medication is available as a solution with a concentration of 50 mg per 2 mL. If a patient weighs 165 pounds, what volume of the solution, in milliliters, should be administered? (Use the approximation 1 kg ≈ 2.2 lbs).

Accepted Answer

60 mL

Answer

30 mL

Answer

75 mL

Answer

150 mL

Question 5

A household appliance is rated at 1,500 watts. If the appliance is used for an average of 90 minutes per day, and the cost of electricity is $0.20 per kilowatt-hour (kWh), what is the approximate cost to operate the appliance for 30 days?

Accepted Answer

$13.50

Answer

$6.75

Answer

$81.00

Answer

$40.50

Question 6

A satellite travels in a circular orbit at a constant speed of 17,000 miles per hour. If the circumference of its orbit is 26,400 miles, how many minutes does it take for the satellite to complete exactly 4 orbits? (Round to the nearest minute).

Accepted Answer

373 minutes

Answer

93 minutes

Answer

155 minutes

Answer

272 minutes

A solid rectangular block of aluminum has dimensions of 10 cm, 20 cm, and 50 cm.If the density of aluminum is 2.7 g/cm³, what is the mass of the block in kilograms?

A solid rectangular block of aluminum has dimensions of 10 cm, 20 cm, and 50 cm.
If the density of aluminum is 2.7 g/cm³, what is the mass of the block in kilograms?