ITBS - Iowa Test of Basic Skills Mathematical Problem Solving Questions and Answers — Questions and Answers
Question 1: A school is taking 142 students on a field trip. Each bus can hold a maximum of 40 students. What is the minimum number of buses the school must reserve to transport all the students?
- 3 buses
- 4 buses (Correct answer)
- 5 buses
- 3.55 buses
Correct answer: 4 buses
To find the number of buses, divide the total number of students by the capacity of each bus: 142 ÷ 40 = 3.55. Since you cannot have a fraction of a bus and all students must be transported, you must round up to the next whole number. Therefore, 4 buses are needed. Three buses would be full (3 x 40 = 120 students), and the fourth bus would carry the remaining 22 students.
Question 2: A rectangular garden has a length of 25 feet and a width of 12 feet. What is the perimeter of the garden?
- 37 feet
- 300 square feet
- 150 feet
- 74 feet (Correct answer)
Correct answer: 74 feet
The perimeter is the total distance around the outside of a shape. For a rectangle, the formula is P = 2(length + width). So, P = 2(25 + 12) = 2(37) = 74 feet. The answer '300 square feet' represents the area, not the perimeter. [2, 3]
Question 3: At a bake sale, a team sold 1/2 of their cookies in the morning and 1/3 of their cookies in the afternoon. If they started with 180 cookies, how many cookies were left at the end of the day?
- 30 (Correct answer)
- 60
- 90
- 150
Correct answer: 30
First, calculate the number of cookies sold. In the morning: 1/2 of 180 is 90. In the afternoon: 1/3 of 180 is 60. The total number of cookies sold is 90 + 60 = 150. To find how many are left, subtract the sold cookies from the starting amount: 180 - 150 = 30 cookies.
Question 4: A train travels at a constant speed of 70 miles per hour. How long will it take the train to travel 455 miles?
- 6 hours
- 7.5 hours
- 6.5 hours (Correct answer)
- 7 hours
Correct answer: 6.5 hours
To find the time it takes, you divide the total distance by the speed. Time = Distance ÷ Speed. So, Time = 455 miles ÷ 70 miles per hour = 6.5 hours.
Question 5: The bar graph below shows the number of pets owned by students in a class. What is the total number of pets owned by all the students combined? [Chart Description: A bar chart titled 'Pets Owned by Students'. The x-axis lists pet types: Dogs, Cats, Fish, Hamsters. The y-axis is numbered from 0 to 12. The bars show: Dogs at 10, Cats at 8, Fish at 12, Hamsters at 5.]
- 4
- 12
- 35 (Correct answer)
- 8.75
Correct answer: 35
To find the total number of pets, you need to add the number of each type of pet together. According to the chart, there are 10 Dogs + 8 Cats + 12 Fish + 5 Hamsters. The sum is 10 + 8 + 12 + 5 = 35 pets in total. [12, 13]
Question 6: A number is a multiple of 4. It is greater than 15 but less than 30. When the digits of the number are added together, the sum is 6. Which of the following is the number?
- 16
- 20
- 28
- 24 (Correct answer)
Correct answer: 24
First, list the multiples of 4 between 15 and 30: 16, 20, 24, 28. Next, test the second condition by adding the digits of each number. For 16: 1+6=7. For 20: 2+0=2. For 24: 2+4=6. For 28: 2+8=10. The only number that satisfies both conditions is 24.
ITBS - Iowa Test of Basic Skills Mathematical Problem Solving Questions and Answers
A school is taking 142 students on a field trip.
Each bus can hold a maximum of 40 students.
What is the minimum number of buses the school must reserve to transport all the students?