# Ch 23: PSAT Math: Ratios, Rates & Proportion

### About This Chapter

## PSAT Math: Ratios, Rates & Proportion - Chapter Summary

The lessons in this chapter review ratios, rates and proportions and provide you with an overview of how to solve calculations using each. The self-assessment quizzes give you an opportunity to test your knowledge and solve equations on your own. The lessons in this chapter will provide you with the following:

- Definitions of ratios and proportions
- How to use rates to solve problems
- Examples for calculating ratios and proportions
- An understanding of scale drawings

Use the videos and transcripts in each lesson to guide you through this chapter. If you'd like to return to particular section of the video, use the tags in the timeline to access the part of the video you need without having to re-watch the entire lesson. Utilize the self-assessment quizzes at the end of each lesson to ensure that you've obtained the information you need. This will help you to correctly answer questions pertaining to ratios, rates and proportions on the math section of the PSAT exam.

### PSAT Math: Ratios, Rates & Proportion Chapter Objectives

The math section of the PSAT assesses a student's efficiency in problem solving. The test is designed to determine how proficiently you can conceptualize a math problem and apply that knowledge into solving an equation. The lessons in this Ratios, Rates & Proportion chapter prepare you for the calculations on the exam that involve these topics. The self-assessment quizzes included with each lesson also give you an idea of how the questions may look on the test.

The math section of the PSAT exam is split into questions that allow you to answer using a calculator and questions that do not. Most of the questions in this section are multiple choice, but there are some questions that require the student to produce and answer by filling in a grid on the answer sheet.

### 1. Ratios and Proportions: Definition and Examples

Watch this video lesson to learn how ratios and proportions are related. Also, learn how ratios and proportions are used in real life and how you can apply them to yours.

### 2. Calculations with Ratios and Proportions

Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.

### 3. Practice Problems for Calculating Ratios and Proportions

In this lesson, you'll get a quick review of a type of math problem that shows up on the SAT: ratios and proportions. We'll walk through some problems in the video, and you can test your skills in the quiz questions.

### 4. How to Find the Unit Rate

If we are going to use math to predict outcomes, one of the most useful measures we can establish is the unit rate of change. In this lesson, you'll learn how to find the rate of change and apply the formula to real-life examples.

### 5. Solving Problems Using Rates

In this video lesson, learn how to set up rate problems so you can easily solve them. You will become familiar with the rate formula and you will see how easy it is to use.

### 6. Solve Problems Using Percents

Percents are your friend. Think of all the cool things percents do for you. They save you money, and they tell you how well you are doing in school. Learn how you can solve problems with percents in this video lesson.

### 7. How to Solve Word Problems That Use Percents

100 percent of percent problems can be solved if we follow the correct steps. In this lesson, we'll practice solving a variety of different percent problems.

### 8. How to Read and Interpret Scale Drawings

Watch this video lesson to learn how scale drawings and legends are used on maps and blueprints. Learn skills that will serve you well when traveling and when looking at the blueprints of a car.

### 9. Common Unit Conversions

Watch this video lesson, and you will become a pro at converting between inches and feet, between feet and yards, and between quarts and gallons. Learn the special numbers involved in each conversion.

### 10. What Is Density? - Explanation & Examples

After watching this video, you will be able to explain what density is, give examples of high and low density, and calculate density using an equation. A short quiz will follow.

### 11. How to Calculate the Density of Solids or Liquids

After watching this video, you will be able to explain what density is and calculate the density of solids or liquids from physical measurements. A short quiz will follow.

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### Other Chapters

Other chapters within the PSAT Prep: Practice & Study Guide course

- PSAT: About the Test
- PSAT Writing: About the Writing & Language Test
- PSAT Writing: Sentence Clarity and Structure
- PSAT Writing Usage & Punctuation
- Word Use & Expressions in Writing
- Argument & Evidence Analysis in Writing
- About the PSAT Reading Test
- PSAT Reading: Reading Passages
- PSAT Reading: Understanding Reading Passages
- PSAT Reading: Interpretation & Analysis of Text
- Analyzing Data & Graphs in a Reading Passage
- PSAT Reading: Literary Terms
- Important U.S. Documents & Speeches
- Analyzing Words in Context while Reading
- PSAT Math: About the Math Test
- PSAT Math: Numbers and Operations
- PSAT Math: Equations and Expressions
- PSAT Math: Quadratic Equations
- PSAT Math: Exponents
- PSAT Math: Rational Equations and Expressions
- PSAT Math: Inequalities
- PSAT Math: Functions
- PSAT Math: Geometry and Measurement
- PSAT Math: Triangles & Trigonometric Ratios
- PSAT Math: Data Analysis, Statistics and Probability
- PSAT Prep Flashcards