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Mathematics Concepts and Application Flashcards

6 cards from real KPA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Mathematics Concepts and Application flashcards as text

  1. A paraeducator is helping a student with a math assignment. The student needs to find the area of a rectangular classroom that is 20 feet long and 15 feet wide. What is the correct area of the classroom?

    Answer: 300 square feet

    The area of a rectangle is calculated by multiplying its length by its width. In this scenario, the length is 20 feet and the width is 15 feet. So, the calculation is 20 feet * 15 feet = 300 square feet. The unit for area is always a square unit.

  2. A student is working on a set of fractions: 1/2, 2/5, 3/4, and 1/8. Which of the following lists the fractions in order from least to greatest?

    Answer: 1/8, 2/5, 1/2, 3/4

    To compare these fractions, you can convert them to decimals or find a common denominator. As decimals: 1/8 = 0.125, 2/5 = 0.40, 1/2 = 0.50, and 3/4 = 0.75. Ordering these decimals from least to greatest gives 0.125, 0.40, 0.50, 0.75, which corresponds to the fractions 1/8, 2/5, 1/2, 3/4.

  3. A teacher asks a paraeducator to prepare a craft activity that requires 1.5 feet of ribbon for each of the 22 students in the class. What is the total length of ribbon the paraeducator will need?

    Answer: 33 feet

    To find the total length of ribbon needed, multiply the length of ribbon per student by the total number of students. The calculation is 1.5 feet/student * 22 students = 33 feet.

  4. A student's scores on five spelling tests are 88, 95, 80, 82, and 90. What is the average (mean) score for these tests?

    Answer: 87

    To find the average (mean), first, add all the scores together: 88 + 95 + 80 + 82 + 90 = 435. Then, divide the sum by the number of scores, which is 5. So, 435 / 5 = 87.

  5. A paraeducator is helping a student solve the following problem: 5 + 3 × (8 - 2). According to the order of operations (PEMDAS/BODMAS), which of the following operations should be performed first?

    Answer: Subtraction (8 - 2)

    The order of operations dictates that calculations inside parentheses should be performed first. In the expression 5 + 3 × (8 - 2), the operation inside the parentheses is 8 - 2.

  6. A student has a bag with 10 marbles: 4 are red, 3 are blue, and 3 are green. If the student picks one marble without looking, what is the probability of picking a blue marble?

    Answer: 3/10

    Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes. There are 3 blue marbles (favorable outcomes) and a total of 10 marbles. Therefore, the probability of picking a blue marble is 3/10.