Lesson 3: Practice Problems

Problem 1

Use the tape diagram to find the value of . Show your reasoning.

A tape diagram on a square grid is composed of 6 squares and is partitioned into two equal parts. Each part is partitioned by a vertical dashed line resulting in three equal parts. A brace extends from the beginning of the first part to the end of the first part and is labeled "one half".

Problem 2

Use the tape diagram to answer the question: How many s are in ? Show your reasoning.

A tape diagram of two equal parts on a square grid. Each part is composed of 5 squares. A brace from the beginning of the diagram to the middle of the eighth square is labeled "one and one half."

Problem 3

Write a multiplication equation and a division equation to represent each question, statement, or diagram.

  1. There are 12 fourths in 3.

  2. A tape diagram of 4 equal parts with each part labeled one half. Above the diagram is a brace, labeled 2, that contains all 4 parts.

  3. How many s are in 6?

  4. A tape diagram of 5 equal parts with each part labeled two-fifths. The whole diagram is labeled 2.

Problem 4

Diego said that the answer to the question “How many groups of are in 1?” is or . Do you agree with his statement? Explain or show your reasoning.

Problem 5 From Unit 2 Lesson 16

At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal? Explain your reasoning.

Problem 6

Calculate each percentage mentally.

  1. What is 10% of 70?

  2. What is 10% of 110?

  3. What is 25% of 160?

  4. What is 25% of 48?

  5. What is 50% of 90?

  6. What is 50% of 350?

  7. What is 75% of 300?

  8. What is 75% of 48?