CFAT Problem Solving: Word Problems 3

Question 1

A store reduces a $120 item by 15%. What is the sale price?

Accepted Answer

$102

Answer

Discount = 0.15 × $120 = $18; sale price = $120 − $18 = $102.

Question 2

In a unit of 80 soldiers, 35 are officers. What percentage are officers?

Accepted Answer

43.75%

Answer

35 ÷ 80 × 100 = 43.75%.

Question 3

A map uses a scale of 1:50,000. Two towns are 8 cm apart on the map. What is the actual distance in km?

Accepted Answer

4 km

Answer

8 × 50,000 = 400,000 cm = 4,000 m = 4 km.

Question 4

The ratio of fuel in two tanks is 3:5. If the smaller tank holds 45 liters, how much fuel is in the larger tank?

Accepted Answer

75 liters

Answer

3 parts = 45 L, so 1 part = 15 L; larger tank = 5 × 15 = 75 L.

Question 5

After a 20% pay increase, a salary becomes $3,600. What was the original salary?

Accepted Answer

$3,000

Answer

Original = $3,600 ÷ 1.20 = $3,000.

(CFAT) Canadian Forces Aptitude Test Practice Test