Test Your Knowledge: Equivalent Ratios Grade 6 Questions.

📚 Quick Study Guide

🔢 Ratio: A comparison of two quantities. It can be written as $a:b$, $a$ to $b$, or $\frac{a}{b}$. ⚖️ Equivalent Ratios: Ratios that express the same relationship between quantities. For example, $1:2$ and $2:4$ are equivalent. 🔍 Finding Equivalent Ratios: Multiply or divide both parts of the ratio by the same non-zero number. For example, to find a ratio equivalent to $3:5$, you can multiply both parts by 2 to get $6:10$. 💡 Cross Products: Two ratios $\frac{a}{b}$ and $\frac{c}{d}$ are equivalent if and only if their cross products are equal: $a \times d = b \times c$. 📝 Simplifying Ratios: Divide both parts of the ratio by their greatest common factor (GCF) to get the simplest form.

Practice Quiz

1. What ratio is equivalent to $2:3$?
1. $3:2$
2. $4:6$
3. $2:6$
4. $1:3$
2. Which ratio is NOT equivalent to $1:4$?
1. $2:8$
2. $3:12$
3. $4:16$
4. $5:15$
3. Find the missing number: $3:5 = x:10$
1. $x = 5$
2. $x = 6$
3. $x = 15$
4. $x = 2$
4. Simplify the ratio $12:18$ to its simplest form.
1. $6:9$
2. $4:6$
3. $2:3$
4. $1:2$
5. Which of the following ratios is equivalent to $5:25$?
1. $2:10$
2. $1:5$
3. $5:1$
4. $25:5$
6. Determine if the ratios $4:6$ and $6:9$ are equivalent.
1. No
2. Yes
3. Cannot be determined
4. Only sometimes
7. What is the value of $y$ if $2:7 = 6:y$?
1. $y = 14$
2. $y = 21$
3. $y = 42$
4. $y = 13$