Mathematical Problem Solving Flashcards

A car's fuel tank holds 15 gallons. If the car gets 28 miles per gallon, approximately how far can it travel on a full tank?

Answer: 420 miles

15 gallons × 28 miles/gallon = 420 miles.

A number is multiplied by 4, then 7 is subtracted, giving a result of 25. What is the original number?

Answer: 8

Working backwards: 25 + 7 = 32, and 32 ÷ 4 = 8.

A school bought 120 notebooks to distribute equally among 8 classrooms. After distribution, 4 extra notebooks remained. How many notebooks did each classroom receive?

Answer: 14

(120 − 4) ÷ 8 = 116 ÷ 8 = 14.5, but since 4 extras remained, each class got 14 notebooks.

On a map, 1 inch represents 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?

Answer: 175 miles

3.5 inches × 50 miles/inch = 175 miles.

A swimming pool is filled at a rate of 250 gallons per hour. If the pool holds 3,500 gallons, how many hours will it take to fill the pool completely?

Answer: 14 hours

3,500 ÷ 250 = 14 hours.

Emily saved $12 per week for 9 weeks. She then spent $45 on a gift. How much money does she have left?

Answer: $63

$12 × 9 = $108, and $108 − $45 = $63.

The temperature at noon was 72°F. By evening, it dropped 15 degrees, then rose 8 degrees overnight. What was the final temperature?

Answer: 65°F

72 − 15 = 57, then 57 + 8 = 65°F.