Q140 of 140 Page 196

The pieces of Tangrams have been rearranged to make the given shape.


By observing the given shape, answer the following questions:


• What percentage of total has been coloured?


(i) Red (R) = _________


(ii) Blue (B) = ________


(iii) Green (G) = _______


• Check that the sum of all the percentages calculated above should be 100.


• If we rearrange the same pieces to form some other shape, will the percentage of colours change?

1) Total coloured shape = + + + + + + = 1


i) Red coloured shape = + + =


Percentage of Red coloured = × 100%


= = 37.5%


ii) Blue coloured shape = + =


Percentage of blue coloured shape = × 100%


= × 100%


iii) Green coloured shape = +


=


Percentage of green coloured shape = × 100%


= × 100%


2) Sum of all percentages calculated = Percentage of red coloured + percentage of blue coloured + percentage of green coloured


= 37.5 + 50 + 12.5


= 100%


3) If we rearrange the same pieces to form some other shape, the percentage of colours will not change, because we just rearrange the parts and not changing the percentage of colours.


More from this chapter

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136

Designing a Healthy Diet

When you design your healthy diet, you want to make sure that you meet the dietary requirements to help you grow into a healthy adult. As you plan your menu, follow the following guidelines


1. Calculate your ideal weight as per your height from the table given at the end of this question.


2. An active child should eat around 55.11 calories for each kilogram desired weight.


3. 55 per cent of calories should come from carbohydrates. There are 4 calories in each gram of carbohydrates.


4. 15 per cent of your calories should come from proteins. There are 4 calories in each gram of proteins.


5. 30 per cent of your calories may come from fats. There are 9 calories in each gram of fat.


Following is an example to design your own healthy diet.


Example


1. Ideal weight = 40 kg.


2. The number of calories needed = 40 × 55.11 = 2204.4


3. Calories that should come from carbohydrates


= 2204.4 × 0.55 = 1212.42 calories.


Therefore, required quantity of carbohydrates



4. Calories that should come from proteins


= 2204.4 × 0.15 = 330.66 calories.


Therefore, required quantity of protein



5. Calories that may come from fat = 2204.4 × 0.3 = 661.3 calories.


Therefore, required quantity of fat



Questions


1. Your ideal desired weight is _________ kg.


2. The quantity of calories you need to eat is _______.


3. The quantity of protein needed is _______g.


4. The quantity of fat required is _________ g.


5. The quantity of carbohydrates required is __________ g.


137

150 students are studying English, Maths or both. 62 per cent of students study English and 68 per cent are studying Maths. How many students are studying both?

138

Earth Science: The table lists the world’s 10 largest deserts.


A. What are the mean, median and mode of the areas listed?


B. How many times the size of the Gobi Desert is the Namib Desert?


C. What percentage of the deserts listed are in Asia?


D. What percentage of the total area of the deserts listed is in Asia?

139

Geography Application: Earth’s total land area is about 148428950 km2. The land area of Asia is about 30 per cent of this total. What is the approximate land area of Asia to the nearest square km?