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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

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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 find the percentage of France's population in the 30-35 year age group, we refer to the population pyramid. From the diagram, we observe that approximately 4% of males and 4% of females fall into this category. Therefore, we can calculate the total percentage as follows:

4%+4%=8%4\% + 4\% = 8\%

Hence, approximately 8% of France's population falls in the category of 30-35 years.

Step 2

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

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Answer

The population pyramids for France and India reveal significant differences.

  • France has a narrow base, indicating a low birth rate. This suggests a more aging population, with a higher percentage of individuals in older age categories. Factors contributing to this could include improved healthcare, family planning, and socio-economic conditions that favor smaller families.

  • India, on the other hand, features a broad base that indicates a high birth rate. This typically suggests a younger population with a larger proportion of children and young adults. The broad base is characteristic of developing countries, which face challenges such as limited access to education and healthcare, leading to higher birth rates.

Overall, the shapes of the pyramids highlight the demographic challenges each country faces: France must address an aging population, while India continues to manage rapid population growth.

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 area of the flags, we start with the dimensions provided. According to the scale of 1:23, we first need to convert the flag dimensions from the scaled measurements:

  • Length: 6 cm
  • Width: 3.9 cm

To find the actual dimensions:

  • Actual Length = 6 cm × 23 = 138 cm
  • Actual Width = 3.9 cm × 23 = 89.7 cm

Now, we calculate the area:

Area=Length×Width=138 cm×89.7 cm=12378,60 cm2\text{Area} = \text{Length} \times \text{Width} = 138 \text{ cm} \times 89.7 \text{ cm} = 12 378,60 \text{ cm}²

This confirms that the area of the flag when completed will indeed be 12 378,60 cm².

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