If a car travels 150 miles in 3 hours, how far will it travel in 5 hours at the same rate?

250 miles. Set up a proportion: 150/3 = x/5, then solve: x = 250.

A recipe uses 2 cups of flour for every 3 cups of sugar. If you use 9 cups of sugar, how many cups of flour are needed?

6 cups of flour. The ratio 2:3 scales up by a factor of 3, so flour = 2 × 3 = 6.

What does it mean for two quantities to be in a proportional relationship?

Two quantities are proportional when their ratio remains constant, meaning one variable is always a fixed multiple of the other (y = kx).

A store sells 3 notebooks for $4.50. What is the unit price per notebook?

$1.50 per notebook. Divide the total price by the number of items: $4.50 ÷ 3 = $1.50.

If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many students are in the class total?

64 students. Boys = 3 parts = 24, so 1 part = 8. Girls = 5 × 8 = 40. Total = 24 + 40 = 64.

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SAT Problem Solving & Data Analysis

Master the SAT Problem Solving & Data Analysis section with 30 targeted flashcards covering ratios, statistics, probability, and data interpretation. These cards focus on the exact skills tested on the SAT Math section, helping students build fluency with real-world quantitative reasoning. Ideal for self-study, tutoring sessions, and last-minute exam prep.

30 cards Intermediate Ratios & Proportional Reasoning Percentages & Percent Change Statistics & Data Interpretation Probability Data Representations & Graphs

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