SECTION A [55 marks]
QUESTION 1 (10 Marks)
Convert the following decimals into a percentage:
a) 0.66 (1 mark)
b) 1.75 (1 mark)
c) 0.015 (1 mark)
d) 0.001 (1 mark)
The revenue of Thabo’s enterprise over two years is shown below. Calculate the percentage change in revenue from 2021 to 2022
Year 2021 2022
Revenue R1 500 000 R 1800 000 (3 Marks)
Simplify the following ratios:
a) 150:500 (1 mark)
b) 35:90:145 (1 mark)
c) 1600:2400 (1 mark)
QUESTION 2 (15 Marks)
Simplify the expression: 12x – 14(10x-5x+16) + 2x (3 Marks)
Solve the expression:
5 3
𝑥 + =
9 27
(3 Marks)
Change the subject of the formula to 𝑧 = 24𝑣 + 𝑥𝑢 to 𝑣 (3 Marks)
Simplify the expression: 125𝑥6 𝑦4
5𝑥4 𝑦2
(3 Marks)
A rectangle has the following dimensions: Length (25cm), Width(10cm).
Calculate the perimeter. (3 Marks)
QUESTION 3 (15 Marks)
Using the following coocrdinates (8,12) ; (2,3), calculate the gradient. (3 Marks)
Using the marginal income (MI) function, MI = 24Q, calculate the marginal income if 50 550 units of coal were sold. (2 Marks)
Johan has a clothing business. He made a bulk purchase of 1600 units of clothes from the local manufacturer. The manufacturer made a gross profit of R8000 on this sale. Using the functions below, calculate the settlement discount assuming the percentage settlement discount granted = x.
Total revenue = 8Q; Variable cost = 2Q
(6 Marks)
Solve the following simultaneous equation using the substitution method:
12𝑥 + 4𝑦 = 140 ……(1)
6𝑥 − 10𝑦 = 24 ……(2)
(4 Marks)
QUESTION 4 (15 Marks)
Line graphs are used when the figures on the x-axis are continuous overtime. What are some examples of common uses for line graphs (2 Marks)
The following table shows the number of resturants in different categories according to google review over a period of two years, 2019 and 2020:
Review | 2019 | 2020 |
1 star | 7 | 15 |
2 star | 15 | 20 |
3 star | 29 | 39 |
4 star | 20 | 24 |
5 star | 13 | 10 |
From the date above, create a neat compound bar graph showing the number of resturants in each category over the two years. (7 Marks)
Using the information from the graph in question 4.2, which star review obtained the highest percentage increase. (6 Marks)
SECTION B [45 marks]
QUESTION 5 (8 Marks)
In your own words, describe economics as a social science. (2 Mark)
When individuals are faced with different options, or alternatives, and scarce resources, people often have to sacrifice one option or alternative to pursue another. What is this called? (1 Mark)
Economic choices are often made based on market demand. Consider the following goods, wine and rice. In China, there is a grater demand for rice than wine and in the United Kingdom, there is a greater demand for wine than rice. The opportunity costs for both countries are constant. Using this information, illustrate the product possibility curves for both nations on a single graph. Please note that the use of imaginary figures is not necessary (5 Marks)
QUESTION 6 (10 Marks)
In a free-market economy, the price mechanism fulfils various functions. Identify and describe each function. (6 Marks)
Describe the different types of factors of production. (4 Marks)
QUESTION 7 (15 Marks)
Demand as an equation is made up of various determinants. Identify each of these determiants. (6 Marks)
Determine what would happen to each individual’s demand curve if the following should occur:
a) Zack got a raise in his allowance. (2 Marks)
b) Debra substituted coke for pepsi following a decrease in the price of pepsi. Both products are normal goods. (2 Marks)
Discuss the effects of setting a price ceiling and a price floor on a product/service. (5 Marks)
QUESTION 8 (12 Marks)
The following graph represents the income elasticity of demand for gold balls. The x- axis represents an increase in income of consumers and the y-axis represents the quantity of golf balls.
Using the information above, describe the purchasing behaviour of a consumer represented by each section of the demand curve A to D.
Answers to Above Questions on Economics
Answer 1: a) 0.66 as a percentage: 66%
b) 1.75 as a percentage: 175%
c) 0.015 as a percentage: 1.5%
d) 0.001 as a percentage: 0.1%
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