Middle School Math Problem Solving

Description: Middle School Math Problem Solving Quiz
Number of Questions: 15
Created by:
Tags: math problem solving middle school
Attempted 0/15 Correct 0 Score 0

A farmer has 120 acres of land. He plants corn on 40% of the land, soybeans on 30% of the land, and wheat on the rest of the land. How many acres of land does the farmer plant wheat on?

  1. 36

  2. 48

  3. 54

  4. 60


Correct Option: C
Explanation:

Corn: 120 * 40% = 48 acres Soybeans: 120 * 30% = 36 acres Wheat: 120 - 48 - 36 = 36 acres

A train leaves Chicago at 10:00 AM and travels at a speed of 70 mph. Another train leaves St. Louis at 11:00 AM and travels towards Chicago at a speed of 80 mph. If the distance between Chicago and St. Louis is 300 miles, at what time will the two trains meet?

  1. 12:30 PM

  2. 1:00 PM

  3. 1:30 PM

  4. 2:00 PM


Correct Option: C
Explanation:

Relative speed = 80 + 70 = 150 mph Time to meet = 300 / 150 = 2 hours Meeting time = 11:00 AM + 2 hours = 1:00 PM

A store sells a shirt for \$20. If the store offers a 20% discount, what is the sale price of the shirt?

  1. \$16

  2. \$17

  3. \$18

  4. \$19


Correct Option: A
Explanation:

Discount = 20 * \$20 / 100 = \$4 Sale price = \$20 - \$4 = \$16

A rectangular garden has a length of 12 feet and a width of 8 feet. If a 2-foot wide path is built around the garden, what is the area of the path?

  1. 96 sq ft

  2. 104 sq ft

  3. 112 sq ft

  4. 120 sq ft


Correct Option: B
Explanation:

Length of path = 12 + 2 + 2 = 16 feet Width of path = 8 + 2 + 2 = 12 feet Area of path = 16 * 12 = 192 sq ft

A company has 500 employees. If 60% of the employees are women, how many men work for the company?

  1. 180

  2. 200

  3. 220

  4. 240


Correct Option: B
Explanation:

Number of women = 500 * 60% = 300 Number of men = 500 - 300 = 200

A train travels 240 miles in 4 hours. If the train increases its speed by 20%, how long will it take to travel the same distance?

  1. 3 hours 12 minutes

  2. 3 hours 24 minutes

  3. 3 hours 36 minutes

  4. 3 hours 48 minutes


Correct Option: B
Explanation:

New speed = 120 * 120% = 144 mph Time to travel 240 miles = 240 / 144 = 3.33 hours = 3 hours 20 minutes

A store sells a TV for \$500. If the store makes a profit of 20% on the TV, what is the cost price of the TV?

  1. \$400

  2. \$420

  3. \$440

  4. \$460


Correct Option: B
Explanation:

Profit = \$500 * 20% = \$100 Cost price = \$500 - \$100 = \$400

A rectangular room has a length of 15 feet and a width of 12 feet. What is the area of the room in square meters?

  1. 18.58 sq m

  2. 19.53 sq m

  3. 20.47 sq m

  4. 21.42 sq m


Correct Option: B
Explanation:

1 foot = 0.3048 meters Length in meters = 15 * 0.3048 = 4.572 meters Width in meters = 12 * 0.3048 = 3.6576 meters Area in square meters = 4.572 * 3.6576 = 16.7229 sq m

A company has 100 employees. If 40% of the employees are male and the rest are female, how many female employees does the company have?

  1. 40

  2. 50

  3. 60

  4. 70


Correct Option: C
Explanation:

Number of male employees = 100 * 40% = 40 Number of female employees = 100 - 40 = 60

A train leaves New York at 9:00 AM and travels at a speed of 60 mph. Another train leaves Philadelphia at 10:00 AM and travels towards New York at a speed of 70 mph. If the distance between New York and Philadelphia is 90 miles, at what time will the two trains meet?

  1. 11:00 AM

  2. 11:30 AM

  3. 12:00 PM

  4. 12:30 PM


Correct Option: B
Explanation:

Relative speed = 60 + 70 = 130 mph Time to meet = 90 / 130 = 0.69 hours = 41.4 minutes Meeting time = 10:00 AM + 41.4 minutes = 11:30 AM

A store sells a pair of shoes for \$50. If the store offers a 30% discount, what is the sale price of the shoes?

  1. \$35

  2. \$37

  3. \$39

  4. \$41


Correct Option: A
Explanation:

Discount = \$50 * 30% = \$15 Sale price = \$50 - \$15 = \$35

A rectangular garden has a length of 20 feet and a width of 15 feet. If a 3-foot wide path is built around the garden, what is the area of the path?

  1. 126 sq ft

  2. 138 sq ft

  3. 150 sq ft

  4. 162 sq ft


Correct Option: B
Explanation:

Length of path = 20 + 3 + 3 = 26 feet Width of path = 15 + 3 + 3 = 21 feet Area of path = 26 * 21 = 546 sq ft

A company has 600 employees. If 70% of the employees are men, how many women work for the company?

  1. 120

  2. 180

  3. 240

  4. 300


Correct Option: B
Explanation:

Number of men = 600 * 70% = 420 Number of women = 600 - 420 = 180

A train travels 360 miles in 6 hours. If the train decreases its speed by 20%, how long will it take to travel the same distance?

  1. 7 hours 12 minutes

  2. 7 hours 24 minutes

  3. 7 hours 36 minutes

  4. 7 hours 48 minutes


Correct Option: B
Explanation:

New speed = 360 * 80% = 288 mph Time to travel 360 miles = 360 / 288 = 6.25 hours = 6 hours 15 minutes

A store sells a laptop for \$1000. If the store makes a profit of 15% on the laptop, what is the cost price of the laptop?

  1. \$850

  2. \$875

  3. \$900

  4. \$925


Correct Option: B
Explanation:

Profit = \$1000 * 15% = \$150 Cost price = \$1000 - \$150 = \$850

- Hide questions