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Lesson 2: Understand and solve division problems with a remainder using the array and area models. — Practice Questions

  1. 1. A baker has 17 muffins to place in boxes that hold 4 muffins each. After filling the boxes, how many muffins will be left over? There will be ___ muffin(s) left over.

  2. 2. When a number is divided by 8, the quotient is 3 and the remainder is 5. What is the original number (the dividend)? The dividend is ___.

  3. 3. When you use an array to model division, the items that do not fit into a complete row or column are the remainder. Which statement about the remainder is always true?

    • A. The remainder is greater than the divisor.
    • B. The remainder is less than the divisor.
    • C. The remainder is equal to the quotient.
    • D. The remainder is an even number.
  4. 4. To solve $32 \div 5$, you can arrange 32 items into groups of 5. This creates 6 full groups with some items left over. The number of items left over is the remainder, which is ___.

  5. 5. When using an area model to represent a division problem, which part of the model corresponds to the dividend?

    • A. The known side length
    • B. The unknown side length
    • C. The total area
    • D. The leftover units
  6. 6. To model $38 \div 5$, a rectangle is drawn with a width of $5$. The longest possible whole-number length is $7$. The remainder is ___.

  7. 7. A division problem is modeled with a total area of 47. If the known side length (divisor) is 6 and the remainder is 5, then the other side length (quotient) must be ___.

  8. 8. A teacher arranges 52 chairs in rows of 8. Using an area model, what are the quotient (full rows) and remainder (chairs left over)?

    • A. Quotient 6, Remainder 4
    • B. Quotient 7, Remainder 4
    • C. Quotient 6, Remainder 0
    • D. Quotient 5, Remainder 12
  9. 9. In the area model for $65 \div 8$, the dividend is 65 and the divisor is 8. The area of the largest possible rectangle that can be formed is ___.