A comprehensive introduction to quantitative reasoning and math problem-solving for middle school students preparing for the SSAT.
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).
Use cross-multiplication to solve for missing values in proportions: \[ \frac{a}{b} = \frac{c}{d} \implies a \times d = b \times c \]
Ratios and rates are used in recipes, maps, and even sports statistics!
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?
Understand how to compare quantities and solve real-world problems with ratios and rates.