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

A. $110

Answer

C. $125

Answer

D. $130

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

A. 2 days

Answer

C. 6 days

Answer

D. 16 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

A. 8 hours

Answer

B. 10 hours

Answer

D. 14 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

A. 4 hours

Answer

C. 5.5 hours

Answer

D. 6 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

A. 20%

Answer

C. 30%

Answer

D. 80%

Question 6

If the length of a rectangle increases by 50% and the width decreases by 50%, what happens to the area?

Accepted Answer

B. Decreases by 25%

Answer

A. Stays the same

Answer

C. Increases by 25%

Answer

D. Decreases by 50%

Question 7

Three friends split a restaurant bill of $72 equally, then each leaves a $4 tip. How much did each person pay in total?

Accepted Answer

C. $28

Answer

A. $24

Answer

B. $26

Answer

D. $30

Question 8

A cyclist completes 3/4 of a race in 45 minutes. How long will the full race take at the same pace?

Accepted Answer

B. 60 min

Answer

A. 55 min

Answer

C. 65 min

Answer

D. 75 min

Question 9

A population of bacteria doubles every 30 minutes. If you start with 100 bacteria, how many will there be after 2 hours?

Accepted Answer

C. 1,600

Answer

A. 800

Answer

B. 1,200

Answer

D. 3,200

Question 10

If 30% of students are boys and there are 42 girls, how many students are there total?

Accepted Answer

B. 60

Answer

A. 56

Answer

C. 70

Answer

D. 80