Mambo SSS, is a small private school in the Lady Frere area of the Eastern Cape - NSC Mathematical Literacy - Question 1 - 2016 - Paper 1

Given the ratio of boys to girls exempted is 1:3, if we let the number of boys be A, then the number of girls would be 3A. Since there are 8 exempted learners in total:

$A + 3A = 8$

Thus, $4A = 8 ightarrow A = 2$

So, number of girls exempted = 3 * 2 = 6. Therefore, the girls' total fees would have been:

$6 imes 450 = R2,700$

For Grades 8 and 9, the fees increase by 5%:

Increase = 5% of R300 = $0.05 imes 300 = R15$

New fees = R300 + R15 = R315.

For Grades 10–12, the fees decrease by 2.5%:

Decrease = 2.5% of R450 = $0.025 imes 450 = R11.25$

New fees = R450 - R11.25 = R438.75.

For January to April, the fees are:

Total fees = $60,450 imes 4$ = R241,800.

For May to November, the fees are calculated as:

$7 imes 315 imes 74 + 7 imes 438.75 imes 85$
Thus, total fees for the year = R424,226.25 + R241,800 = R666,026.25.

The amount is R150,000 for the duration of the investment. The interest earned can be calculated using the formula:

$I = P imes r imes t$ where P is the principal amount, r is the rate of interest, and t is the time in years.

Thus:

$I = 150,000 imes 0.095 imes 1 = R14,250$

Since the total number of boys is given as 74, and the other calculations provide the following counts, we know:

$A + 17 + 18 + 20 = 74$

The number of boys in Grade 11 can be calculated as follows:

$A = 74 - (18 + 20 + 17) = 19$.

The total number of learners is 167 and the number of Grade 11 learners is 19. Thus, the probability (P) can be calculated as:

$P = \frac{19}{167} \approx 0.1137$