Simple Ratio Examples with Solved Problems for Grade 6

📚 Quick Study Guide

• ➗ A ratio compares two quantities. It shows how much of one thing there is compared to another.
• ✍️ Ratios can be written in a few ways: as a fraction (e.g., $\frac{1}{2}$), with a colon (e.g., 1:2), or with the word "to" (e.g., 1 to 2).
• ➕ When solving ratio problems, make sure you are comparing the correct quantities and use the same units.
• 🤝 Equivalent ratios are ratios that express the same relationship. You can find them by multiplying or dividing both parts of the ratio by the same number.
• 💡 To simplify a ratio, divide both parts by their greatest common factor (GCF).

❓ Practice Quiz

1. What is the ratio of apples to oranges if there are 5 apples and 10 oranges?
   1. 1:1
   2. 1:2
   3. 2:1
   4. 5:10
2. Simplify the ratio 12:18.
   1. 6:9
   2. 4:6
   3. 2:3
   4. 1:2
3. In a class, there are 8 boys and 12 girls. What is the ratio of boys to the total number of students?
   1. 2:3
   2. 2:5
   3. 3:5
   4. 8:12
4. If the ratio of cats to dogs is 3:4, and there are 12 dogs, how many cats are there?
   1. 9
   2. 16
   3. 15
   4. 10
5. Which of the following ratios is equivalent to 2:5?
   1. 4:5
   2. 5:2
   3. 4:10
   4. 1:3
6. A recipe calls for 2 cups of flour and 1 cup of sugar. What is the ratio of flour to sugar?
   1. 1:2
   2. 2:2
   3. 2:1
   4. 1:1
7. The ratio of red marbles to blue marbles in a bag is 5:3. If there are 15 red marbles, how many blue marbles are there?
   1. 3
   2. 5
   3. 9
   4. 24