Exploring Ratios and Equivalent Ratios

The video tutorial covers the concept of ratios, including how to write them using different notations such as fractions, colons, and the word 'to'. It explains the importance of order in ratios and how to simplify them. The tutorial also introduces equivalent ratios, demonstrating how to identify and verify them using cross multiplication. Methods for finding equivalent ratios through multiplication and division are discussed, with examples provided to illustrate these concepts.

Which of the following is NOT a correct way to represent a ratio?

• Using a fraction

• Using a dash

• Using a colon

• Using the word 'to'

What must be done to simplify the ratio 6:18?

• Subtract 3

• Divide by 3

• Add 3

• Multiply by 3

Which of the following ratios is simplified correctly?

• 14:21 to 7:10

• 18:27 to 6:9

• 10:15 to 2:3

• 8:12 to 2:3

Which of the following is a correct representation of the ratio 3 to 12?

• Both A and B

• 1:4

• Neither A nor B

• 3:12

If the ratio of cats to dogs is 4:2, what is an equivalent ratio?

• 12:6

• All of the above

• 8:4

• 2:1

If you have a ratio of 5:10, which number can you multiply both terms by to find an equivalent ratio?

• Any number

• 2

• 4

• 3

How can you verify if the ratios 3:9 and 2:6 are equivalent?

• Cross multiplication

• Subtraction

• Division

• Addition

What method is used to check if two ratios are equivalent?

• Cross multiplication

• None of the above

• Subtraction

• Addition

What is the equivalent ratio of 3:4 when both terms are multiplied by 3?

• 9:12

• 6:8

• 12:16

• None of the above

In a ratio table, if the first row has a ratio of 1:2, what should the second row show to maintain equivalent ratios if multiplied by 2?

• All of the above

• 2:4

• 3:6

• 4:8