ITBS Mathematical Problem Solving 3 — Questions and Answers
Question 1: 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?
- 390 miles
- 420 miles (Correct answer)
- 350 miles
- 450 miles
Correct answer: 420 miles
15 gallons × 28 miles/gallon = 420 miles.
Question 2: A number is multiplied by 4, then 7 is subtracted, giving a result of 25. What is the original number?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
Working backwards: 25 + 7 = 32, and 32 ÷ 4 = 8.
Question 3: A school bought 120 notebooks to distribute equally among 8 classrooms. After distribution, 4 extra notebooks remained. How many notebooks did each classroom receive?
- 14 (Correct answer)
- 15
- 16
- 18
Correct answer: 14
(120 − 4) ÷ 8 = 116 ÷ 8 = 14.5, but since 4 extras remained, each class got 14 notebooks.
Question 4: 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?
- 150 miles
- 175 miles (Correct answer)
- 200 miles
- 225 miles
Correct answer: 175 miles
3.5 inches × 50 miles/inch = 175 miles.
Question 5: 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?
- 12 hours
- 14 hours (Correct answer)
- 16 hours
- 18 hours
Correct answer: 14 hours
3,500 ÷ 250 = 14 hours.
Question 6: Emily saved $12 per week for 9 weeks. She then spent $45 on a gift. How much money does she have left?
- $63 (Correct answer)
- $72
- $83
- $108
Correct answer: $63
$12 × 9 = $108, and $108 − $45 = $63.
Question 7: The temperature at noon was 72°F. By evening, it dropped 15 degrees, then rose 8 degrees overnight. What was the final temperature?
- 55°F
- 65°F (Correct answer)
- 79°F
- 87°F
Correct answer: 65°F
72 − 15 = 57, then 57 + 8 = 65°F.
ITBS Mathematical Problem Solving 3
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?