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2.1 After an examination, a total of 2 808 Mathematical Literacy scripts were marked at a particular marking centre - English General - NSC Mathematical Literacy - Question 2 - 2020 - Paper 2

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2.1 After an examination, a total of 2 808 Mathematical Literacy scripts were marked at a particular marking centre. TABLE 2 in ANNEXURE A shows data about the mark... show full transcript

Worked Solution & Example Answer:2.1 After an examination, a total of 2 808 Mathematical Literacy scripts were marked at a particular marking centre - English General - NSC Mathematical Literacy - Question 2 - 2020 - Paper 2

Step 1

Determine the total amount claimed by the chief moderator (CM) and the internal moderator (IM).

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Answer

To calculate the total amount claimed by the chief moderator (CM) and internal moderator (IM), we will refer to the relevant data from TABLE 2 in ANNEXURE A. First, we will sum the individual amounts claimed for each moderator based on their corresponding worked hours and tariff rates. Let:

  1. CM Amount = Worked hours by CM × Tariff rate for CM
  2. IM Amount = Worked hours by IM × Tariff rate for IM
  3. Total Amount = CM Amount + IM Amount

By substituting the appropriate values from the table, we can provide the total amount claimed by both moderators.

Step 2

Calculate the value of A in TABLE 2.

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Answer

In TABLE 2, the value of A can be calculated based on the information regarding the number of scripts and the specific details provided. Given the relationships established in the table, we apply the provided calculation methods to derive the value of A. This entails using the provided coefficients or ratios to compute the final value of A accurately.

Step 3

Using the above formula, determine the expected time and the day on which the markers are likely to finish marking.

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Answer

Using the formula for marking hours:

Number of marking hours=Total number of scripts×28Number of markers×60\text{Number of marking hours} = \frac{\text{Total number of scripts} \times 28}{\text{Number of markers} \times 60}

Assuming a certain number of markers are specified, we can first calculate the maximum allowable marking hours. Next, we can estimate the finishing time based on the start time of marking (14:00 on Monday) by adding the calculated marking hours to the starting time.

Step 4

Determine the actual day and time when markers finished, according to the hours claimed, if marking started at 14:00 on Monday.

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Answer

To find the actual day and time of completion, we refer to the claimed hours of marking. We will add the total marking hours claimed to the starting time (14:00 on Monday). This means we will calculate the cumulative hours worked and convert these into days and times to determine when marking would conclude.

Step 5

Give ONE possible reason why the markers finished before the expected time.

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Answer

One possible reason for finishing marking earlier than expected could be a higher efficiency in marking or a lower complexity of the scripts. Other reasons could include fewer interruptions during the marking process or more effective collaboration among markers, leading to quicker completion.

Step 6

Verify whether this amount would be sufficient to pay the team for transport, marking and moderation of the scripts.

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Answer

To verify the sufficiency of the R400 000 budget, we will calculate the total expenses for transport, marking, and moderation. This includes:

  • Transport Costs = Travel allowance per km × Total km travelled
  • Marking & Moderation Costs = Total amount claimed by CM and IM

Finally, we will compare the sum of these costs against the budget of R400 000 to ascertain whether the budget is adequate.

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