Practice ratios and percentages with unique questions about equivalent ratios, proportions, percent of a number, discounts, increases, unit rates, and word problems. Use hints when needed, choose an answer, and review the explanation after each question.
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The 10 questions cover simplifying ratios, equivalent ratios, proportions, percent of a number, discounts, percent increase, unit rates, part-to-whole percentages, and map scale. These skills are the foundation of proportional reasoning used later in algebra, geometry, statistics, finance, and SAT-style problems.
Multiply or divide both parts of a ratio by the same nonzero factor to preserve the relationship.
Divide by the number of units to find the amount per one unit, then scale up when needed.
Distinguish the amount of change from the percent of change and identify the correct original base.
Use a constant ratio to connect drawings, maps, recipes, rates, and real-world measurements.
A ratio such as 4:7 does not describe two independent numbers. It describes how the two quantities compare, so both parts must be scaled by the same factor.
The quiz asks for the cost per notebook when 6 notebooks cost $18. Unit rate is one of the most useful forms of a ratio because it makes different situations directly comparable.
These phrases look similar, but each gives a different unknown. Identifying the role of each number is more reliable than memorizing one formula for every percentage question.
What is 20% of 150?
18 is what percent of 60?
Price rises from 80 to 100.
Suppose a jacket costs $126 after a 16% discount. The sale price is 84% of the original price, so finding the original requires division by 0.84.
The quiz uses 1 inch : 5 miles. More advanced scale problems may ask you to convert units, solve for an unknown distance, or compare area and volume scale factors.
Equivalent ratios require the same scale factor on both parts.
Percent increase and decrease are measured relative to a specific original amount.
An increase from 40% to 50% is 10 percentage points, but the relative increase is 25%.
Review equivalent ratios, fraction-decimal-percent connections, and finding a simple percent of a quantity.
Focus on unit rates, percent change, and identifying which quantity is the original base in context.
Move toward reverse percentages, repeated percentage changes, proportions, scale factors, and multi-step word problems.