NYSTCE ATAS - NYSTCE Assessment of Teaching Assistant Skills Mathematical Concepts and Operations Questions and Answers — Questions and Answers
Question 1: A teaching assistant is preparing a craft activity that requires each of the 24 students in a class to have a piece of ribbon that is 3/4 of a foot long. What is the total length of ribbon, in feet, that the teaching assistant will need for the entire class?
- 18 feet (Correct answer)
- 24 feet
- 32 feet
- 12 feet
Correct answer: 18 feet
To find the total length of ribbon, multiply the number of students by the length of ribbon each student needs. The calculation is 24 students * (3/4) feet/student. This can be solved as (24 * 3) / 4 = 72 / 4 = 18 feet.
Question 2: A teacher asks a teaching assistant to calculate the final percentage for a student's project. The student earned 45 points out of a possible 60 points. What is the student's score as a percentage?
- 60%
- 70%
- 75% (Correct answer)
- 80%
Correct answer: 75%
To find the percentage, divide the points earned by the total possible points and then multiply by 100. The calculation is (45 / 60) * 100. First, simplify the fraction 45/60 to 3/4. Then, convert the fraction to a decimal (0.75) or directly multiply (3/4) * 100 to get 75%.
Question 3: Which of the following correctly lists the numbers from LEAST to GREATEST: 0.5, 3/5, 53%?
- 3/5, 53%, 0.5
- 0.5, 53%, 3/5 (Correct answer)
- 53%, 0.5, 3/5
- 3/5, 0.5, 53%
Correct answer: 0.5, 53%, 3/5
To compare these numbers, they must be converted to the same format, such as decimals. 0.5 is already a decimal. 3/5 is equal to 0.60. 53% is equal to 0.53. Now, ordering the decimals from least to greatest gives 0.5, 0.53, 0.60, which corresponds to the original list of 0.5, 53%, 3/5.
Question 4: A teaching assistant is helping a student with a math problem. The problem is: -7 + (-12). What is the correct answer?
- 5
- -5
- 19
- -19 (Correct answer)
Correct answer: -19
When adding two negative numbers, you add their absolute values and keep the negative sign. The absolute value of -7 is 7, and the absolute value of -12 is 12. Adding these together gives 7 + 12 = 19. Since both original numbers were negative, the answer is -19.
Question 5: A classroom has a rectangular reading rug that is 8 feet long and 6 feet wide. What is the area of the rug in square feet?
- 14 square feet
- 28 square feet
- 48 square feet (Correct answer)
- 24 square feet
Correct answer: 48 square feet
The area of a rectangle is calculated by multiplying its length by its width. In this case, the calculation is 8 feet * 6 feet = 48 square feet.
Question 6: A teaching assistant is helping to organize books in the school library. 30% of the 450 books on a cart are non-fiction. How many non-fiction books are on the cart?
- 150
- 135 (Correct answer)
- 120
- 145
Correct answer: 135
To find the number of non-fiction books, calculate 30% of 450. First, convert the percentage to a decimal by dividing by 100 (30% = 0.30). Then, multiply the decimal by the total number of books: 0.30 * 450 = 135.
NYSTCE ATAS - NYSTCE Assessment of Teaching Assistant Skills Mathematical Concepts and Operations Questions and Answers
A teaching assistant is preparing a craft activity that requires each of the 24 students in a class to have a piece of ribbon that is 3/4 of a foot long.
What is the total length of ribbon, in feet, that the teaching assistant will need for the entire class?