Free Mensa IQ Word Problems and Applied Math Practice Test

Question 1

A store offers a 20% discount on an item that originally costs $150. What is the sale price?

Accepted Answer

B. $120

Answer

Discount = 20% × $150 = $30. Sale price = $150 - $30 = $120.

Question 2

If 5 workers can build a wall in 8 days, how many days will it take 10 workers (at the same rate)?

Accepted Answer

B. 4 days

Answer

Inverse proportion: more workers = fewer days. 5×8 = 10×d, so d = 40/10 = 4 days.

Question 3

A tank fills in 4 hours through pipe A and empties in 6 hours through pipe B. If both pipes are open, how long to fill the empty tank?

Accepted Answer

C. 12 hours

Answer

Pipe A fills 1/4 per hour. Pipe B empties 1/6 per hour. Net rate = 1/4 - 1/6 = 3/12 - 2/12 = 1/12. Time = 12 hours.

Question 4

A car travels 240 km in 3 hours. At the same speed, how long to travel 400 km?

Accepted Answer

B. 5 hours

Answer

Speed = 240/3 = 80 km/h. Time = 400/80 = 5 hours.

Question 5

A shop buys an item for $80 and sells it for $100. What is the profit percentage?

Accepted Answer

B. 25%

Answer

Profit = $20. Profit% = (Profit/Cost) × 100 = (20/80) × 100 = 25%.

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