Ratio worksheet (class 6)

 

Grade 6 Ratio Worksheet

Part A: Understanding Ratios

1. Write the ratio for the following situations: a. There are 3 apples and 5 bananas in a basket.
   Ratio (apples:bananas) = ________
   b. A classroom has 12 boys and 18 girls.
   Ratio (boys:girls) = ________
   c. Out of 20 students, 8 prefer chocolate and 12 prefer vanilla.
   Ratio (chocolate:vanilla) = ________

2. Simplify the following ratios:
   a. $12:16$
   b. $25:30$
   c. $45:60$
   

Part B: Equivalent Ratios

3. Fill in the blanks to complete the equivalent ratios:
   a. $3:5 = 6: \_\_\_$
   b. $8:12 = 4: \_\_\_$
   c. $7:14=\mathrm{\_}\mathrm{\_}\mathrm{\_}:28$

4. Create two equivalent ratios for $\mathrm{<br>}<span\; class="katex"><span\; aria-hidden="true"\; class="katex-html"><span\; class="base"><span\; class="mord">9</span><span\; class="mspace"></span><span\; class="mrel">:</span><span\; class="mspace"></span></span><span\; class="base"><span\; class="strut"></span><span\; class="mord">15</span></span></span></span>.$

   • Ratio 1: ________
   • Ratio 2: ________

Part C: Solving Problems with Ratios

5. If a recipe requires ingredients in the ratio $2:3$ (flour:sugar), how much sugar is needed if you use 8 cups of flour?

6. A group of 50 students has boys and girls in the ratio $2:3$.
   a. How many boys are there?
   b. How many girls are there?

7. A rope is cut into three pieces in the ratio $4:5:6$. If the total length of the rope is 30 meters, find the length of each piece.

Part D: Word Problems

8. There are 36 marbles in a bag. The ratio of red marbles to blue marbles is $2:4$.
   a. How many red marbles are there?
   b. How many blue marbles are there?

9. In a school, the ratio of teachers to students is $1:25$. If there are 500 students, how many teachers are there?

10. A box contains green, yellow, and red balls in the ratio $3:2:5$. If there are 40 balls in total, how many balls of each color are there?

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Bonus Question:
11. The ratio of cats to dogs in a shelter is $5:7$. If there are 42 dogs, how many cats are there?

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