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ISEE Middle Level Quantitative Reasoning

Ratios, Proportions, and Percents

Learn Ratios, Proportions, and Percents in ISEE Middle Level Quantitative Reasoning from the production AIPH study guide.

Study guide topics

Number Sense and OperationsAlgebraic Thinking and PatternsData Analysis and ProbabilityRatios, Proportions, and PercentsGeometry and Spatial ReasoningWord Problems and Logical ReasoningUsing Math in Daily LifeMath in Science and TechnologySmart Shopping and Money MathTime Management for Test DayMultiple Choice Test Tactics

Advanced Topics

In a nutshell: Helps compare, scale, and find parts of a whole using ratios, proportions, and percents.

## Comparing Quantities Ratios help you compare two amounts, like the number of apples to oranges. Proportions show that two ratios are equal. Percents are a special way to show ratios out of 100. ### How to Use Them - Ratios: If there are 2 cats for every 3 dogs, the ratio is 2:3. - Proportions: If 1/2 = 2/4, that's a proportion! - Percents: 50% means 50 out of 100. ### Solving Ratio Problems Set up proportions to solve real-life problems, like mixing juice or finding discounts during sales. ### Why Are They Important? These concepts are used in cooking, shopping, and comparing test scores. ### Common Formula - Percent: \( \text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100 \)

\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100

Examples

  • If 3 out of 12 students are left-handed, what percent is that?
  • If a recipe calls for 2 cups of sugar for every 5 cups of flour, how much sugar for 10 cups of flour?

Key terms

Ratio
A comparison of two numbers by division.
Percent
A ratio that compares a number to 100.
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