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Sorting and classifying Knowledge-Based Practice

Math · Data, Statistics & Probability · Math · Organizing & Displaying Data

5 Math practice questions on Sorting and classifying. Questions that assess core concepts and understanding.

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Questions

  1. 1.

    A collection of six three-dimensional shapes—a sphere, a cylinder, a cone, a cube, a triangular prism, and a square pyramid—is sorted into two categories based on their surfaces. Which group consists entirely of the shapes that have at least one curved surface?

    • A) Cube, cylinder, and sphere
    • B) Cone, triangular prism, and square pyramid
    • C) Sphere, cylinder, and cone
    • D) Sphere, cone, and triangular prism
  2. 2.

    A set of eight numbers is sorted into two categories: Group X = {12, 18, 24, 30} and Group Y = {14, 16, 20, 22}. Which sorting rule correctly classifies the numbers into these two groups?

    • A) Group X contains numbers divisible by 3, while Group Y contains numbers not divisible by 3.
    • B) Group X contains numbers divisible by 4, while Group Y contains numbers not divisible by 4.
    • C) Group X contains numbers greater than 20, while Group Y contains numbers less than or equal to 20.
    • D) Group X contains numbers with an even tens digit, while Group Y contains numbers with an odd tens digit.
  3. 3.

    A data set of fourteen values—2, 5, 8, 4, 1, 7, 9, 6, 3, 10, 4, 8, 5, and 2—is sorted into three categories: below 4, from 4 to 7 inclusive, and above 7. How many values are classified in the category from 4 to 7 inclusive?

    • A) 4
    • B) 5
    • C) 6
    • D) 8
  4. 4.

    The numbers 14, 20, 25, 28, 35, 40, and 44 are classified using two rules: greater than 25 and divisible by 5. Which group contains all the numbers from the set that are greater than 25 but NOT divisible by 5?

    • A) 28 and 44
    • B) 35 and 40
    • C) 25, 28, and 44
    • D) 14, 28, and 44
  5. 5.

    A group of geometric shapes consisting of a triangle, a square, a rectangle, a pentagon, and a hexagon is classified into two categories: shapes with an odd number of sides and shapes with an even number of sides. Which list contains all the shapes that belong to the odd-numbered sides category?

    • A) Triangle, pentagon, and hexagon
    • B) Triangle and pentagon
    • C) Square, rectangle, and hexagon
    • D) Triangle, square, and pentagon

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