Lesson 7: Solve division problems without remainders using the area model. — Practice Questions

1. 1. In the area model for division, what does the total area of the rectangle represent?

   • A. The divisor
   • B. The dividend
   • C. The quotient
   • D. The remainder

2. 2. To model the division problem $84 \div 7$ with a rectangle, the total area is 84 and the known width is 7. The unknown length is ___.

3. 3. A rectangle has a total area of 65 and a known width of 5. Which division problem does this model represent?

   • A. $65 \div 5$
   • B. $5 \div 65$
   • C. $65 \times 5$
   • D. $65 - 5$

4. 4. When representing the division problem $54 \div 6$ using an area model, the divisor represents the known width. The known width of the rectangle is ___.

5. 5. If you use the area model to solve $78 \div 3$, what does the number 3 represent?

   • A. The total area
   • B. The unknown length
   • C. The known width
   • D. The dividend

6. 6. In the area model for division, which part of the division problem represents the total area of the rectangle?

   • A. The divisor
   • B. The dividend
   • C. The quotient
   • D. The remainder

7. 7. To model the division problem $92 \div 4$, you set up a rectangle with a known width of 4. What is the total area of this rectangle? ___

8. 8. To represent the division problem $56 \div 8$ using an area model, what would be the area and the known width of the rectangle?

   • A. Area = 8, width = 56
   • B. Area = 7, width = 8
   • C. Area = 56, width = 8
   • D. Area = 56, width = 7

9. 9. A rectangle has a total area of 75 square units and a width of 5 units. The length of the rectangle is the quotient of $75 \div 5$. What is the length? ___

10. 10. When solving $81 \div 3$ with an area model, you are finding an unknown length. Which number represents the known width of the rectangle?

    • A. 81
    • B. 3
    • C. 27
    • D. The area