Samuel gets 27 out of 60 for his first Mathematical Literacy Test (Test 1). What percentage did he get for the test? Samuel gets 17 out of 40 for his second Mathematical Literacy Test. What percentage did he get the second test. In which test did Samuel do better, Test 1 or Test 2?

$$\text{Percentage} = \frac{27}{60} \times 100\%$$ $$\text{Percentage} = 0.45 \times 100\%$$ $$\text{Percentage} = 45\%$$

Samuel got 45% for the first test.

1.2 To find the percentage Samuel got for the second test:

$$\text{Percentage} = \frac{17}{40} \times 100\%$$ $$\text{Percentage} = 0.425 \times 100\%$$ $$\text{Percentage} = 42.5\%$$

Samuel got 42.5% for the second test.

1.2.1 What percentage did he get the second test?
He got 42.5%.

1.2.2 In which test did Samuel do better, Test 1 or Test 2?
Comparing the percentages: Test 1 (45%) and Test 2 (42.5%).
Samuel did better in Test 1.

2. To calculate the tip amount:

$$\text{Tip Amount} = 0.15 \times \text{R}749.46$$ $$\text{Tip Amount} = \text{R}112.419$$ $$\text{Tip Amount} \approx \text{R}112.42$$

The waitress will receive R112.42 as a tip.

3. To calculate Jimmy's new hourly earnings:

$$\text{Increase} = 6.5\% \times \text{R}18.00$$ $$\text{Increase} = 0.065 \times \text{R}18.00$$ $$\text{Increase} = \text{R}1.17$$

$$\text{New Hourly Rate} = \text{R}18.00 + \text{R}1.17$$ $$\text{New Hourly Rate} = \text{R}19.17$$

Jimmy will earn R19.17 per hour after the increase.

4. To calculate how much you would pay after the discount:

$$\text{Discount} = 33\% \times \text{R}350.00$$ $$\text{Discount} = 0.33 \times \text{R}350.00$$ $$\text{Discount} = \text{R}115.50$$

$$\text{New Price} = \text{R}350.00 - \text{R}115.50$$ $$\text{New Price} = \text{R}234.50$$

You would pay R234.50 for the pair of pants.

5. To calculate the percentage increase in population:

$$\text{Percentage Increase} = \frac{600,000}{2,900,000} \times 100\%$$ $$\text{Percentage Increase} \approx 0.206896 \times 100\%$$ $$\text{Percentage Increase} \approx 20.69\%$$

The percentage increase in the population from 2001 to 2007 was approximately 20.69%.

6. To find the cost price of the necklaces:
Let the cost price be $C$.
The selling price is R55.00, which includes a 40% mark-up on the cost price.
So, Selling Price = Cost Price + 40% of Cost Price

$$\text{R}55.00 = C + 0.40C$$ $$\text{R}55.00 = 1.40C$$

$$C = \frac{\text{R}55.00}{1.40}$$ $$C \approx \text{R}39.2857$$ $$C \approx \text{R}39.29$$

It costs her R39.29 to make the necklaces.