Math Ratios
Simplifying Ratios : Amplifying Understanding

Find the Equivalent Ratios: Exercise

Welcome to this engaging exercise on equivalent ratios. This activity is designed to reinforce your understanding and application of equivalent ratios, a fundamental mathematical concept. Let's dive in and see if you can find the equivalent ratios in each problem.

Recap: What are Equivalent Ratios?

Before we get started, let's quickly recap the concept of equivalent ratios. Equivalent ratios are two or more ratios that express the same relationship between numbers. For example, the ratios 2:4, 1:2, and 5:10 are all equivalent, since they all express the relationship "half".

Exercise Instructions

Below are a number of problems where you'll need to find the equivalent ratios. Each problem is independent of the others. Take your time and remember, the aim is not just to find the correct answers, but to understand the process of finding equivalent ratios.

Problem 1

If the ratio of cats to dogs in a pet shop is 3:2, what is an equivalent ratio? Try to find at least three different equivalent ratios.

Problem 2

A recipe for pancakes calls for 2 cups of flour for every 3 cups of milk. If you only have 1 cup of flour, how much milk will you need? Also, provide an equivalent ratio.

Problem 3

In a certain school, the ratio of teachers to students is 1:30. If the school has 120 students, how many teachers are there? Give the equivalent ratio for this relationship.

Problem 4

A train travels 300 kilometers in 5 hours. If it maintains the same speed, how far can it travel in 3 hours? Provide the equivalent ratio.

Problem 5

In a garden, the ratio of roses to tulips is 4:5. If there are 20 roses, how many tulips are there? Give the equivalent ratio for this relationship.

Problem 6

The scale on a map is 1:10000. If a distance on the map is represented by 5cm, what distance does this represent in real life? Provide the equivalent ratio.

Check Your Answers

Once you've attempted all problems, check your answers with a calculator or by asking a teacher. Remember, the goal of these exercises is to solidify your understanding of equivalent ratios, and the only way to do that is through practice.

Conclusion

We hope you found this exercise on finding equivalent ratios both challenging and rewarding. As you continue to work with ratios, remember the words of Pythagoras: "Number rules the universe." Understanding equivalent ratios is a big step towards comprehending the numerical language that describes our world.

Understanding Equivalent Ratios Tutorials

If you found this ratio information useful then you will likely enjoy the other ratio lessons and tutorials in this section:

Next: Ratios and Fractions