Lesson 5: 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

What is the value of ? Use pattern blocks to represent and find this value. The yellow hexagon represents 1 whole. Explain or show your reasoning.

Four pattern blocks: One large yellow hexagon, one blue rhombus, one red trapezoid, and one green triangle.

Problem 3

Use a standard inch ruler to answer each question. Then, write a multiplication equation and a division equation that answer the question.

A drawing of a standard ruler with inches and centimeters.

  1. How many s are in 7?

  2. How many s are in 6?

  3. How many s are in ?

Problem 4

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 5 From Unit 4 Lesson 4

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 6 From Unit 3 Lesson 5

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 7 From Unit 3 Lesson 6

A recipe uses 5 cups of flour for every 2 cups of sugar.

  1. How much sugar is used for 1 cup of flour?

  2. How much flour is used for 1 cup of sugar?

  3. How much flour is used with 7 cups of sugar?

  4. How much sugar is used with 6 cups of flour?