Study the population pyramids of France and India below and answer the questions that follow. 4.1.1 Approximately what percentage of France’s population fall in the category 30 – 35 years? 4.1.2 Compare and comment on the bases of each of the countries. 4.2 Hanin has two friends, one from India and one from France. She wants to surprise each of them with a flag of their own countries which she made herself. The flags will be of the same size. She used a scale of 1 : 23 to draw the flags. 4.2.1 She wants to use the scale to cut the dimensions on a piece of white material. Show with the necessary calculations that the area of each flag when she is done, will be 12 378,60 cm².

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Study the population pyramids of France and India below and answer the questions that follow - NSC Mathematical Literacy - Question 4 - 2016 - Paper 2

Question 4

Study the population pyramids of France and India below and answer the questions that follow. 4.1.1 Approximately what percentage of France’s population fall in the... show full transcript

Worked Solution & Example Answer:Study the population pyramids of France and India below and answer the questions that follow - NSC Mathematical Literacy - Question 4 - 2016 - Paper 2

Step 1

Approximately what percentage of France’s population fall in the category 30 – 35 years?

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Answer

To determine the percentage of France's population that falls in the age category of 30 – 35 years, we utilize the population pyramid provided. We can observe the heights of the corresponding bars for both males and females in this age category.

From the pyramid, we note that approximately 4% of the male population and 4% of the female population fall within this age group. Therefore, the total percentage can be calculated as:

$ext{Total Percentage} = 4 ext{ ext{%}} + 4 ext{ ext{%}} = 8 ext{ ext{%}}$

Thus, approximately 8% of France’s population is between 30 and 35 years.

Step 2

Compare and comment on the bases of each of the countries.

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Answer

The population pyramid of France exhibits a narrow base, indicating a low birth rate. This suggests that fewer young individuals are entering the population, and we can infer that the country might be experiencing an aging population due to lower fertility rates.

In contrast, the population pyramid of India shows a broad base, symbolizing a high birth rate. This broadness indicates a substantial number of young people, suggesting that India has a younger demographic profile with a potential for growth in its population.

In summary, while France’s demographics suggest stability with low population growth, India’s pyramid indicates a significant potential for population expansion, driven by a higher birth rate.

Step 3

She wants to use the scale to cut the dimensions on a piece of white material. Show with the necessary calculations that the area of each flag when she is done, will be 12 378,60 cm².

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Answer

To determine the actual dimensions of the flags based on the scale of 1 : 23, we can start with the dimensions provided.

Assuming the dimensions for the flags are given as:

Length = 6 cm
Width = 3.9 cm

Actual Length Calculation: $ext{Actual Length} = 6 ext{ cm} imes 23 = 138 ext{ cm}$
Actual Width Calculation: $ext{Actual Width} = 3.9 ext{ cm} imes 23 = 89.7 ext{ cm}$
Calculating Area: $ext{Area} = ext{Actual Length} imes ext{Actual Width} = 138 ext{ cm} imes 89.7 ext{ cm}$ Thus, $= 12,378.60 ext{ cm}^2$

This confirms that the area of each flag is indeed 12,378.60 cm².

Study the population pyramids of France and India below and answer the questions that follow - NSC Mathematical Literacy - Question 4 - 2016 - Paper 2

Worked Solution & Example Answer:Study the population pyramids of France and India below and answer the questions that follow - NSC Mathematical Literacy - Question 4 - 2016 - Paper 2

Approximately what percentage of France’s population fall in the category 30 – 35 years?

Compare and comment on the bases of each of the countries.

She wants to use the scale to cut the dimensions on a piece of white material. Show with the necessary calculations that the area of each flag when she is done, will be 12 378,60 cm².

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