ISAT Quantitative Reasoning with Units 4

Question 1

A hospital administers a drug at 2.5 mg per kg of body weight. A patient weighs 176 pounds. What is the correct dose in mg? (1 kg ≈ 2.2 lbs)

Accepted Answer

200 mg

Answer

176 lbs ÷ 2.2 = 80 kg; 80 × 2.5 = 200 mg.

Question 2

Light travels at approximately 3 × 10⁸ meters per second. How many kilometers does light travel in one minute?

Accepted Answer

18,000,000 km

Answer

3 × 10⁸ m/s × 60 s = 1.8 × 10¹⁰ m = 18,000,000 km.

Question 3

A scientist measures a sample mass as 0.0045 kg. Express this in milligrams.

Accepted Answer

4,500 mg

Answer

0.0045 kg × 1,000,000 mg/kg = 4,500 mg.

Question 4

An athlete's heart beats 72 times per minute during rest. How many times does it beat in one week?

Accepted Answer

725,760

Answer

72 × 60 × 24 × 7 = 725,760 beats.

Question 5

A rainfall gauge records 45 mm of rain over 3 hours. What is the rainfall rate in centimeters per hour?

Accepted Answer

1.5 cm/h

Answer

45 mm ÷ 3 h = 15 mm/h = 1.5 cm/h.

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