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Halves, quarters, thirds, fourths (partitioning) Knowledge-Based Practice

Math · Number Sense & Operations · Math · Fractions

5 Math practice questions on Halves, quarters, thirds, fourths (partitioning). Questions that assess core concepts and understanding.

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Questions

  1. 1.

    A whole shape is partitioned into fourths. How many fourths have the same total size as one half of the same shape?

    • A) 1 fourth
    • B) 3 fourths
    • C) 4 fourths
    • D) 2 fourths
  2. 2.

    Two identical rectangles are each partitioned into two equal-sized shares, but one is cut along a diagonal to form triangles and the other is cut across the middle to form rectangles. Which statement correctly describes these shares?

    • A) The triangle shares are not halves because halves must always have the same shape as each other.
    • B) Both partitions show halves because each rectangle is divided into two equal-sized shares.
    • C) Only the smaller rectangles show halves because halves must match the shape of the original whole.
    • D) Neither partition shows halves because dividing a rectangle always requires four equal parts.
  3. 3.

    A rectangular board is partitioned into two equal shares. If each of these shares is partitioned into two equal shares, what is each final share called?

    • A) A fourth (or a quarter)
    • B) A half
    • C) A third
    • D) An eighth
  4. 4.

    Two identical sheets of paper are partitioned into equal shares: the first sheet into halves and the second sheet into fourths. Which statement correctly compares the size of the shares?

    • A) Each fourth is larger than each half because four parts are more than two parts.
    • B) Each half and each fourth are the exact same size because both sheets are identical.
    • C) Each fourth is smaller than each half because partitioning a whole into more equal shares creates smaller parts.
    • D) Each half is smaller than each fourth because fewer shares mean smaller pieces of the whole.
  5. 5.

    A paper strip is partitioned into 3 equal-sized shares. What is each share called, and how many of these shares make up the entire paper strip?

    • A) Each share is a fourth, and 4 shares make up the entire strip.
    • B) Each share is a half, and 2 shares make up the entire strip.
    • C) Each share is a quarter, and 3 shares make up the entire strip.
    • D) Each share is a third, and 3 shares make up the entire strip.

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