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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 determine the percentage of France's population in the age category of 30-35 years, observe the population pyramid.

From the graph, both the male and female populations in that age bracket appear to be around 4%. Therefore, combining both genders:

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

Thus, 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

When analyzing the population pyramids of France and India, we notice a significant difference in their shapes which hints at the underlying demographic trends:

  1. France has a narrow based pyramid, suggesting it has a low birth rate. This indicates a stable population that does not grow significantly over time, often characteristic of developed countries.
  2. India, on the other hand, exhibits a broader base, indicative of a high birth rate. This suggests that India has a younger population, representing a growing demographic that is typically seen in developing countries.

In conclusion, the shape of the pyramids reflects the varying birth rates and demographic structures of France and India.

Step 3

She wants to use the scale to cut the dimensions on a piece of white material.

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Answer

To find the actual dimensions of the flags using the scale of 1 : 23:

  • For length:

    Given that the length on the flag is 6 cm:

    extActualLength=6extcmimes23=138extcm ext{Actual Length} = 6 ext{ cm} imes 23 = 138 ext{ cm}

  • For width:

    Given that the width on the flag is 3.9 cm:

    extActualWidth=3.9extcmimes23=89.7extcm ext{Actual Width} = 3.9 ext{ cm} imes 23 = 89.7 ext{ cm}

  • Now, to calculate the area:

    extArea=extLengthimesextWidth=138extcmimes89.7extcm=12,378.60extcm2 ext{Area} = ext{Length} imes ext{Width} = 138 ext{ cm} imes 89.7 ext{ cm} = 12,378.60 ext{ cm}^2

Thus, the area of each flag will indeed be 12,378.60 cm².

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