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

The ratio of girls to boys exempted is 3:1. Therefore, for 8 exempted learners:

• Girls: $3x = 6$
• Boys: $x = 2$

The number of girls who would have paid:

$6 imes R450 = R2,700$

Therefore, the total school fees for the exempted girls would be R2,700.

After the adjustment, the fees for Grades 8 and 9 are increased by 5%:

New fees for Grades 8 and 9:

$300 + 0.05 imes 300 = R315$

For Grades 10 to 12, the fees are reduced by 2.5%:

$450 - 0.025 imes 450 = R438.75$

Thus, the new monthly fees are R315 for Grades 8 and 9, and R438.75 for Grades 10 to 12.

To calculate the total fees collected in 2015:

1. Fees for January to April:

   • Fees : 60 x 450 x 4 + 60 x 300 x 4 + 85 x 450 x 4
   • Total up to that point: R424,226.25

2. For May to November, assuming no defaults:

   • Fees from May: $7 imes R315 imes 7 + 85 imes 450 imes 7$ = R241,800

Total for the year:

$R424,226.25 + R241,800 = R666,026.25$

Therefore, the total school fees collected would be R666,026.25.

From the total values in the question and using the total number of students in Grade 11 as:

$B + 25 = 42$

Thus:

$B = 42 - 25 = 17$

Therefore, the value of A, the number of boys in Grade 11, is 17.

The total number of learners is 167 and the number of Grade 11 learners is 42:

Probability = rac{42}{167} \\ ext{Decimal Form: } 0.2515

Thus, the probability of randomly selecting a Grade 11 learner is approximately 0.2515.