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SSAT Middle Level Quantitative

Ratios, Proportions, and Rates

Learn Ratios, Proportions, and Rates in SSAT Middle Level Quantitative from the production AIPH study guide.

Study guide topics

Number Operations and PropertiesFractions, Decimals, and PercentsRatios, Proportions, and RatesAlgebraic Expressions and EquationsGeometry: Shapes and MeasurementData Analysis and ProbabilityMath in Everyday LifeMath in Sports and GamesMath in Science and TechnologyTime Management During the TestElimination and Guessing Strategies

Basic Concepts

In a nutshell: Understand how to compare quantities and solve real-world problems with ratios and rates.

## Making Comparisons Ratios show the relationship between two quantities. Proportions are equations that state two ratios are equal. Rates compare quantities with different units (like miles per hour). ## Solving Proportions Use cross-multiplication to solve for missing values in proportions: \[ \frac{a}{b} = \frac{c}{d} \implies a \times d = b \times c \] ## Everyday Uses Ratios and rates are used in recipes, maps, and even sports statistics!

Examples

  • A recipe calls for 2 cups of flour for every 3 cups of sugar. What is the ratio of flour to sugar?
  • If a car travels 180 miles in 3 hours, what is its average speed in miles per hour?
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