Understanding Ratios and Proportions

This video tutorial covers the complete chapter on ratios and proportions for class 6. It explains the concepts of ratios, how to write them in the simplest form, and solve related problems. The video also delves into proportions, illustrating how to check if ratios are in proportion using examples. The tutorial includes practical examples and a worksheet for practice, ensuring a comprehensive understanding of the topic.

What does a ratio of 2:3 signify in terms of comparison?

• It means the first quantity is two-fifths of the second.

• It means the first quantity is two-thirds of the second.

• It means the first quantity is half of the second.

• It means the first quantity is twice the second.

How do you express a ratio in its simplest form?

• By multiplying the terms by the same number.

• By subtracting the smaller term from the larger term.

• By adding the terms of the ratio.

• By dividing the terms by their greatest common factor.

If the cost of 12 gel pens is Rs. 180, what is the cost of one gel pen?

• Rs. 20

• Rs. 18

• Rs. 12

• Rs. 15

What is the ratio of 30 minutes to 1.5 hours when both are converted to the same unit?

• 1:3

• 2:3

• 1:2

• 3:1

What does it mean when two ratios are in proportion?

• The ratios are different.

• The ratios are equal.

• The ratios are opposite.

• The ratios are unrelated.

In a recipe, if the ratio of flour to sugar is 4:1, what is the proportion if 8 cups of flour are used?

• 8:1

• 4:2

• 8:2

• 4:1

How can you check if two ratios are in proportion using terms?

• By adding the terms of both ratios.

• By subtracting the smaller ratio from the larger ratio.

• By checking if the product of the extreme terms equals the product of the middle terms.

• By comparing the sum of the terms.

Which of the following ratios is equivalent to 9:6?

• 18:12

• 12:8

• 3:2

• 15:10

If the ratio of tin to zinc in an alloy is 3:4, how much zinc is there in 21 grams of alloy?

• 18 grams

• 15 grams

• 12 grams

• 9 grams

What is the first step in solving a ratio problem involving different units?

• Add the quantities.

• Convert all quantities to the same unit.

• Multiply the quantities.

• Divide the quantities.