CBEST - California Basic Educational Skills Math: Estimation and Measurement Questions and Answers — Questions and Answers
Question 1: A teacher is setting up a bulletin board that is 8 feet long and 4 feet wide. They want to put a decorative border around the entire edge of the board. What is the total length of the border the teacher will need?
- 32 feet
- 12 feet
- 24 feet (Correct answer)
- 16 feet
Correct answer: 24 feet
To find the total length of the border needed, you must calculate the perimeter of the rectangular bulletin board. The formula for the perimeter is P = 2(length + width). Substituting the given values: P = 2(8 feet + 4 feet) = 2(12 feet) = 24 feet.
Question 2: A movie starts at 7:50 PM and ends at 10:25 PM. How long is the movie?
- 2 hours, 5 minutes
- 2 hours, 35 minutes (Correct answer)
- 3 hours, 15 minutes
- 1 hour, 35 minutes
Correct answer: 2 hours, 35 minutes
To calculate the elapsed time, you can break the problem into parts. From 7:50 PM to 8:00 PM is 10 minutes. From 8:00 PM to 10:00 PM is 2 hours. From 10:00 PM to 10:25 PM is 25 minutes. Adding these together: 2 hours + 10 minutes + 25 minutes = 2 hours and 35 minutes.
Question 3: A baker's recipe calls for 6 ounces of chocolate chips per batch of cookies. If the baker makes 4 batches of cookies, how many pounds of chocolate chips will be used?
- 2.5 pounds
- 1.0 pound
- 2.0 pounds
- 1.5 pounds (Correct answer)
Correct answer: 1.5 pounds
First, calculate the total number of ounces used: 6 ounces/batch * 4 batches = 24 ounces. Next, convert ounces to pounds. There are 16 ounces in 1 pound. So, divide the total ounces by 16: 24 ounces / 16 ounces/pound = 1.5 pounds.
Question 4: Which of the following is the most reasonable estimate for the length of a standard yellow school bus?
- 40 feet (Correct answer)
- 40 inches
- 40 yards
- 1 mile
Correct answer: 40 feet
A standard school bus is a large vehicle. 40 inches is too short (less than 4 feet). 40 yards is 120 feet, which is too long. 1 mile is extremely long. 40 feet is the most appropriate and common length for a conventional school bus.
Question 5: A parent is buying new carpet for their child's bedroom, which is rectangular and measures 10 feet by 12 feet. What is the area of the floor that needs to be covered by the carpet?
- 44 square feet
- 22 square feet
- 120 square feet (Correct answer)
- 100 square feet
Correct answer: 120 square feet
The area of a rectangle is calculated by multiplying its length by its width. In this case, Area = 10 feet * 12 feet = 120 square feet. This is the total amount of carpet needed to cover the floor.
Question 6: Which of the following units would be most appropriate for measuring the amount of water in a standard bathtub?
- Ounces
- Quarts
- Milliliters
- Gallons (Correct answer)
Correct answer: Gallons
While ounces, quarts, and milliliters are all units of volume, they are too small to conveniently measure the large quantity of water in a bathtub. Gallons are the largest unit among the choices and are the standard unit used for measuring such large capacities in the U.S. customary system.
A teacher is setting up a bulletin board that is 8 feet long and 4 feet wide.
They want to put a decorative border around the entire edge of the board.
What is the total length of the border the teacher will need?