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

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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 marking ... show full transcript

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

Step 1

2.1.1 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:

  1. Identify amounts claimed for CM and IM from TABLE 2.

  2. Sum the amounts:

    Total amount = CM amount + IM amount

= R58 827.00

Step 2

2.1.2 Calculate the value of A in TABLE 2.

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Answer

Given that:

A=(2808×28)(Number of markers×60)A = \frac{(2808 \times 28)}{(Number\ of\ markers \times 60)}

To find A, substitute the number of markers with the value from TABLE 2 and perform the calculation.

Step 3

2.1.3(a) 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 maximum marking hours:

  1. Calculate maximum marking hours: Maximum hours=2808×28Number of markers×60\text{Maximum hours} = \frac{2808 \times 28}{Number\ of\ markers \times 60}
  2. Determine expected finish time:
    • Start time is 14:00 on Monday.

    • Add marking hours to determine the finish day and time.

    Note: If the total marking hours exceed 24, this will require calculation across multiple days.

Step 4

2.1.3(b) Determine the actual day and time when markers finished.

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Answer

Based on total hours claimed:

  1. Calculate actual finish time starting from 14:00:
    • If monitoring claims the total marking time is less than expected, calculate the finish day and time accordingly.

Step 5

2.1.3(c) Give ONE possible reason why the markers finished before the expected time.

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One possible reason markers finished early might be: ***Efficiency in marking, possibly due to adequate preparation or simpler scripts, allowing faster completion.

Step 6

2.1.4 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:

  1. Calculate total costs:
    • Transport = Travel allowance (R3.26 km × 11 542 km)
    • Marking and moderation charges based on the claims.
  2. Compare total costs with the budget of R400,000.
    • If total costs < R400,000, then budget is sufficient.

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