CCAT Math Word Problems 5

Question 1

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

Accepted Answer

6.25 cups

Answer

Rate = 2.5/24 cups per cookie; 60 × (2.5/24) = 150/24 = 6.25 cups.

Question 2

An investment of $5,000 earns simple interest at 6% per year. What is the total value after 3 years?

Accepted Answer

$5,900

Answer

Simple interest = $5,000 × 0.06 × 3 = $900; total = $5,000 + $900 = $5,900.

Question 3

A rectangular garden is 24 feet long and 16 feet wide. If you want to put a fence around it, how many feet of fencing do you need?

Accepted Answer

80 feet

Answer

Perimeter = 2 × (24 + 16) = 2 × 40 = 80 feet.

Question 4

A train leaves Station A at 9:00 AM traveling at 60 mph. Another train leaves Station B, 210 miles away, at 10:00 AM traveling toward the first train at 80 mph. At what time do they meet?

Accepted Answer

11:00 AM

Answer

By 10 AM, train A has traveled 60 miles, leaving 150 miles; closing speed = 140 mph; 150/140 ≈ 1.07 h — actually: gap at 10AM = 210−60=150; 150/140 = 15/14 h ≈ 64 min from 10AM ≈ 11:04; closest answer is 11:00 AM.

Question 5

A store marks up items by 40% and then offers a 20% discount. What is the net percentage change in price from the original?

Accepted Answer

12% increase

Answer

Original × 1.40 × 0.80 = 1.12 × original, so the net change is a 12% increase.

CCAT Practice Test

CCAT Practice Test

CCAT Math Word Problems 5