Testinar Grade 3 math

Interpreting Quotients of Whole Numbers

Students will interpret whole-number quotients as sharing equally or finding the number of equal groups.

CH01-02 Operations and Algebraic Thinking
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. Which situation can be represented by \(12\div3\)?

    1. \(12\) multiply by \(3\)
    2. \(3\) subtract from \(12\)
    3. How many groups of \(3\) make \(12\)
    4. \(12\) items shared equally among \(3\) groups

  2. Which division sentence matches this picture?

    Interpreting Quotients of Whole Numbers visual for G3-C01-T02-Q002
    1. \(9\div1\)
    2. \(9+3\)
    3. \(3\div3\)
    4. \(9\div3\)

  3. Ava has \(15\) stickers. She puts them equally into \(5\) envelopes. How many stickers does each envelope have?

    1. \(10\)
    2. \(2\)
    3. \(20\)
    4. \(3\)

  4. Which number sentence matches "How many groups of \(4\) are in \(16\)?"

    1. \(4+16\)
    2. \(16-4\)
    3. \(4\times16\)
    4. \(16\div4\)

  5. Which multiplication fact helps you solve \(10\div2=?\)

    1. \(2\times5=10\)
    2. \(2\times10=20\)
    3. \(10\times2=20\)
    4. \(5\times5=25\)

  6. Sam bought \(18\) pencils. He wants to put them into \(3\) boxes equally. How many pencils go in each box?

    1. \(6\)
    2. \(5\)
    3. \(15\)
    4. \(21\)

  7. Which number sentence represents "\(20\) items divided equally among \(4\) groups"?

    1. \(20\div4\)
    2. \(4\times20\)
    3. \(4+20\)
    4. \(20-4\)

  8. Which division sentence shows "How many groups of \(2\) fit in \(14\)?"

    1. \(2\div14\)
    2. \(14+2\)
    3. \(2\times14\)
    4. \(14\div2\)
Teacher and parent reference

Answer key and explanations

  1. D. \(12\) items shared equally among \(3\) groups

    \(12\div3\) asks "how many in each group when \(12\) items are shared equally among \(3\) groups?" Each group gets \(4\) items.

  2. D. \(9\div3\)

    There are \(9\) circles total, divided into \(3\) equal groups. Each group has \(3\) circles, so \(9\div3=3\).

  3. D. \(3\)

    \(15\div5=3\). Sharing means dividing the total into equal groups.

  4. D. \(16\div4\)

    "How many groups of \(4\)" is a measurement division problem. Divide \(16\) by \(4\) to find the number of groups.

  5. A. \(2\times5=10\)

    Division and multiplication are inverse operations. Since \(2\times5=10\), then \(10\div2=5\).

  6. A. \(6\)

    \(18\div3=6\). Divide the total number of pencils by the number of boxes.

  7. A. \(20\div4\)

    Dividing equally among groups means the total is shared into equal parts. Use division.

  8. D. \(14\div2\)

    Measurement division finds how many groups. Divide the total by the group size.

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