NSC Mathematical Literacy Classifying and organising data: South Africa is in the middle of

Question

South Africa is in the middle of a potentially wet season as heavy rainfalls continue to fall over large parts of the country, thus improving the country's water situation.

TABLE 3: shows the full storage capacity and dam levels as a percentage of the full storage capacity in different provinces in South Africa on 5 April 2021. The dam-level readings are taken on the same day each week.

TABLE 3: DAM LEVELS IN DIFFERENT PROVINCES ON 5 APRIL 2021
PROVINCE                NET FSC (MILLION M³)    THIS WEEK (%)     LAST YEAR (%)     LAST
Eastern Cape                 1 823                         55                          76
Free State                    15 657                        66                          87
Gauteng                        128                          100                        91
KwaZulu-Natal               4 784                         100                        101
Limpopo                       2 480                          88                          90
Mpumalanga                 1 198                          89                          93
North West                   867                            52                          75
Northern Cape                147                            22                          40
Western Cape                1 866                          53                          54

[Adapted from https://saw.co.za/state-of-dams]
Net FSC (million m³) = net full storage capacity in million cubic metres.

Use TABLE 3 to answer the questions that follow.

3.1.1 Determine the date on which the reading of the dam level was taken last week.

3.1.2 Write down, in words, the actual value of the net FSC for Gauteng.

3.1.3 Identify the province with the third lowest dam level percentage for last year.

3.1.4 Determine which province had the highest percentage increase in dam levels from last year to this year.

3.1.5 Calculate the missing value D if the mean percentage storage capacity for last week was 83%.

3.1.6 Determine, as a fraction, the probability of randomly selecting a province with dam levels exceeding 100%, for both this week and last week.

3.1.7 Calculate (in m³) the actual net FSC of Free State for last week.

South Africa is in the middle of a potentially wet season as heavy rainfalls continue to fall over large parts of the country, thus improving the country's water situation - NSC Mathematical Literacy - Question 3 - 2021 - Paper 1

Worked Solution & Example Answer:South Africa is in the middle of a potentially wet season as heavy rainfalls continue to fall over large parts of the country, thus improving the country's water situation - NSC Mathematical Literacy - Question 3 - 2021 - Paper 1

Determine the date on which the reading of the dam level was taken last week.

Write down, in words, the actual value of the net FSC for Gauteng.

Identify the province with the third lowest dam level percentage for last year.

Determine which province had the highest percentage increase in dam levels from last year to this year.

Calculate the missing value D if the mean percentage storage capacity for last week was 83%.

Determine, as a fraction, the probability of randomly selecting a province with dam levels exceeding 100%, for both this week and last week.

Calculate (in m³) the actual net FSC of Free State for last week.

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