Everyday Examples of Proportions (6th Grade Math)

➗ Quick Study Guide

• 📏 Definition: A proportion is a statement that two ratios are equal.
• 📝 Ratio: A ratio compares two quantities. For example, if you have 3 apples and 2 oranges, the ratio of apples to oranges is 3:2.
• ⚖️ Setting up a Proportion: You can write a proportion as $\frac{a}{b} = \frac{c}{d}$, where $a$, $b$, $c$, and $d$ are numbers.
• ✖️ Cross-Multiplication: To solve a proportion, you can use cross-multiplication. If $\frac{a}{b} = \frac{c}{d}$, then $ad = bc$.
• 💡 Real-World Uses: Proportions are used in cooking, scaling maps, calculating discounts, and many other everyday situations.

Practice Quiz

1. What is a proportion?
   1. A part of a whole.
   2. A statement that two ratios are equal.
   3. A type of fraction.
   4. A way to add numbers.
2. If 2 apples cost $1, how much will 6 apples cost if the price is proportional?
   1. $2
   2. $3
   3. $4
   4. $6
3. A recipe calls for 2 cups of flour for every 1 cup of sugar. If you want to use 3 cups of sugar, how many cups of flour do you need?
   1. 4 cups
   2. 5 cups
   3. 6 cups
   4. 7 cups
4. On a map, 1 inch represents 50 miles. If two cities are 3 inches apart on the map, what is the actual distance between them?
   1. 100 miles
   2. 125 miles
   3. 150 miles
   4. 200 miles
5. A store is having a 20% off sale. If an item originally costs $20, what is the sale price?
   1. $14
   2. $15
   3. $16
   4. $18
6. If the ratio of boys to girls in a class is 3:2, and there are 12 boys, how many girls are there?
   1. 6
   2. 8
   3. 10
   4. 14
7. You are baking a cake and the recipe needs to be doubled. Originally the recipe called for 1.5 teaspoons of baking powder. How much baking powder will you need?
   1. 1 teaspoon
   2. 2 teaspoons
   3. 3 teaspoons
   4. 4 teaspoons