MPT Problem Solving 3

Question 1

A recipe calls for 2.5 cups of flour to make 24 cookies. How many cups are needed to make 60 cookies?

Accepted Answer

6.25 cups

Answer

Rate = 2.5/24 cups per cookie; for 60: (2.5/24) × 60 = 6.25 cups.

Question 2

Two friends split a bill so that one pays twice as much as the other. If the total bill is $93, how much does the person paying more contribute?

Accepted Answer

$62

Answer

Let x = smaller share; x + 2x = 93 → x = 31; larger share = 2×31 = $62.

Question 3

A ladder 10 feet long leans against a wall. If the base is 6 feet from the wall, how high up the wall does the ladder reach?

Accepted Answer

8 feet

Answer

h = √(10² − 6²) = √(100 − 36) = √64 = 8 feet.

Question 4

A $200 item is discounted by 15%, then the discounted price is taxed at 8%. What is the final price?

Accepted Answer

$183.60

Answer

Discounted: 200 × 0.85 = $170; with tax: 170 × 1.08 = $183.60.

Question 5

Train A leaves at 9:00 AM going 60 mph. Train B leaves the same station at 10:00 AM going 80 mph in the same direction. At what time will Train B catch Train A?

Accepted Answer

1:00 PM

Answer

Train A has 1-hr head start = 60 miles; relative speed = 20 mph; catch-up time = 60/20 = 3 hrs after 10 AM = 1:00 PM.

(MPT) UCF Math Placement Test Practice Test

(MPT) UCF Math Placement Test Practice Test

MPT Problem Solving 3