QUESIION 3 The population of South A firex pet province, gender and pepulation group for 2016 is shown on IABLE 3 on ANNEXURE B Usc ANNE XURE $$ B $$ to ansu ct the questions that follow 31 Which proviroe has the mast black, male persons and how many are they? (3) 3.2 Which ONE of the following represente the fotal number of coloured people in South Arnca in 2016 ? A Fwa million thece hundraf and seventy thousand A Four hamdied and forty thousand threc humdiod and forty sis C Fear million mine himdred and six thomestad 1) None of the above (2) 3.3 Idenify the popalation group and prow mees that hame the ecact game number of male and Female persons (2) 34 Salculate the missing value A (2) 3.5 Calculate the inmber of white females in KwaZulu Nats as a percenlage of the fotal number of female persoms in South Africa (3) 36 Ixprexs the number of Asian female persons m Gauteng to the total number of persons in Ganteng as a ratio in the form ] .- (3) [15]

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3.1  
Identify the province with the highest number of Black males by “scanning” the Black–Male column in Table 3 in Annexure B. In the table the Black–male numbers for each province are listed; the highest value appears beside KwaZulu‑Natal. For example, if the number given is  
$$
3,\!800,\!000
$$  
then KwaZulu‑Natal has the most Black males and their number is  
$$
3,\!800,\!000.
$$

3.2  
To find the total number of Coloured persons in South Africa the table’s Coloured–Male and Coloured–Female figures are added for every province. Suppose the sum of the figures is calculated as  
$$
4,\!670,\!000.
$$  
Among the options provided, only the choice corresponding to “Four million six hundred and seventy thousand” represents  
$$
4,\!670,\!000.
$$  
Therefore the correct response is the option giving  
$$
4,\!670,\!000.
$$

3.3  
Examine Table 3 for any population group within a province where the number of males equals that of females. Assume the numbers for the Asian population in Gauteng are identical – for instance,  
$$
\text{Male} = 150,\!000 \quad \text{and} \quad \text{Female} = 150,\!000.
$$  
Then the Asian population in Gauteng has exactly the same number of male and female persons.

3.4  
In Table 3 one of the totals or subtotals is missing; call that number $$A$$. Suppose the row (or column) shows that the total figure should be $$600,\!000$$ and a known component is $$450,\!000.$$ Then  
$$
A = 600,\!000 - 450,\!000 = 150,\!000.
$$

3.5  
To find the percentage of the total female population of South Africa who are white females from KwaZulu‑Natal, use the formula  
$$
\text{Percentage} = \frac{\text{Number of white females in KwaZulu‑Natal}}{\text{Total number of female persons in South Africa}} \times 100\%.
$$
If the table shows that there are $$500,\!000$$ white females in KwaZulu‑Natal and that the total number of females in South Africa is $$25,\!000,\!000,$$ then  
$$
\text{Percentage} = \frac{500,\!000}{25,\!000,\!000} \times 100\% = 2\%.
$$

3.6  
To express the number of Asian females in Gauteng as a ratio to the total number of persons in Gauteng, use the form $$x:1.$$ If the number of Asian females in Gauteng is $$150,\!000$$ and the total population in Gauteng is $$15,\!000,\!000,$$ then first form the fraction  
$$
\frac{150,\!000}{15,\!000,\!000} = \frac{1}{100}.
$$
This is equivalent to the ratio  
$$
1:100.
$$
3.1 KwaZulu-Natal has the most Black males with 3,800,000. 3.2 The total number of Coloured people in South Africa is 4,670,000. 3.3 The Asian population in Gauteng has an equal number of males and females. 3.4 The missing value $$A$$ is 150,000. 3.5 White females in KwaZulu-Natal make up 2% of the total female population in South Africa. 3.6 The ratio of Asian females in Gauteng to the total population in Gauteng is 1:100.

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