Lesson 8: Practice Problems

Problem 1

For each situation, complete the tape diagram to represent and answer the question.

  1. Mai has picked 1 cup of strawberries for a cake, which is enough for of the cake. How many cups does she need for the whole cake?

    A tape diagram of four equal parts. A brace is drawn from the beginning of the first equal part to the end of the third part.

  2. Priya has picked cups of raspberries, which is enough for of a cake. How many cups does she need for the whole cake?

    A tape diagram of four equal parts. A brace is drawn from the beginning of the first equal part to the end of the third part.

Problem 2

Tyler painted square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square yard of wall?

  1. Write multiplication and division equations to represent the situation.

  2. Draw a diagram to represent the situation and to answer the question.

Problem 3

After walking mile from home, Han is of his way to school. What is the distance between his home and school?

  1. Write multiplication and division equations to represent this situation.

  2. Use the given diagram to help you answer the question. Mark up and label it as needed.

    A tape diagram of three equal parts. A brace is drawn from the beginning of the first equal part to the end of that part.

Problem 4 From Unit 4 Lesson 7

Here is a division equation:

  1. Write a multiplication equation that corresponds to the division equation.

  2. Draw a diagram to represent and answer the question.

Problem 5 From Unit 4 Lesson 3

A set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide. How many books can fit on the shelf?

  1. Write a multiplication equation and a division equation to represent this question.

  2. Find the answer. Draw a diagram, if needed.

  3. Use the multiplication equation to check your answer.

Problem 6 From Unit 4 Lesson 1

  1. Without calculating, order the quotients from smallest to largest.

  2. Explain how you decided the order of the three expressions.

  3. Find a number so that is greater than 1 but less than 7.