CFAT Problem Solving 3

Question 1

A vehicle uses 12 liters of fuel per 100 km. How many liters are needed for a 350 km journey?

Accepted Answer

42 L

Answer

Fuel = (350 ÷ 100) × 12 = 3.5 × 12 = 42 liters.

Question 2

Solve for x: x + 15 = 3x − 9

Accepted Answer

12

Answer

Rearranging: 15 + 9 = 3x − x → 24 = 2x → x = 12.

Question 3

A soldier's monthly pay is increased by 15% to $2,300. What was the original salary?

Accepted Answer

$2,000

Answer

Original × 1.15 = $2,300; original = $2,300 ÷ 1.15 = $2,000.

Question 4

Two soldiers run from the same point in opposite directions at 8 km/h and 10 km/h. How far apart are they after 1.5 hours?

Accepted Answer

27 km

Answer

Combined speed = 18 km/h; distance = 18 × 1.5 = 27 km.

Question 5

A rectangular floor is 8 m long and 5 m wide. How many 0.5 m × 0.5 m tiles are needed to cover it?

Accepted Answer

160

Answer

Floor area = 40 m²; tile area = 0.25 m²; tiles needed = 40 ÷ 0.25 = 160.

(CFAT) Canadian Forces Aptitude Test Practice Test