SSAT Middle Level Quantitative

A comprehensive introduction to quantitative reasoning and math problem-solving for middle school students preparing for the SSAT.

Number Operations and PropertiesFractions, Decimals, and PercentsRatios, Proportions, and Rates
Algebraic Expressions and EquationsGeometry: Shapes and MeasurementData Analysis and Probability
Math in Everyday LifeMath in Sports and GamesMath in Science and Technology
Time Management During the TestElimination and Guessing Strategies
Number Operations an...Fractions, Decimals,...Ratios, Proportions,...Algebraic Expression...Geometry: Shapes and...Data Analysis and Pr...Math in Everyday Lif...Math in Sports and G...Math in Science and ...Time Management Duri...Elimination and Gues...
Basic Concepts

Ratios, Proportions, 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?

In a Nutshell

Understand how to compare quantities and solve real-world problems with ratios and rates.

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Algebraic Expressions and Equations