In 2019/20 the South African government increased the social grants as indicated in TABLE 1 below - NSC Mathematical Literacy - Question 1 - 2019 - Paper 1
Question 1
In 2019/20 the South African government increased the social grants as indicated in TABLE 1 below.
TABLE 1: SOCIAL GRANTS FOR 2019–2020
TYPES ... show full transcript
Worked Solution & Example Answer:In 2019/20 the South African government increased the social grants as indicated in TABLE 1 below - NSC Mathematical Literacy - Question 1 - 2019 - Paper 1
Step 1
1.1.1 Is the type of data in TABLE 1 numerical data or categorical data?
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Answer
The type of data in TABLE 1 is numerical data. This is because the values listed, such as the different allowance amounts, are represented in numerical form and can be measured or quantified.
Step 2
1.1.2 Identify the modal allowance amount for March 2020.
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Answer
The modal allowance amount for March 2020 is R1 780, which is the highest frequency allowance amount listed in TABLE 1.
Step 3
1.1.3 Arrange the social grants for March 2019 in descending order of value.
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The social grants for March 2019 arranged in descending order are:
Pension allowances older than 75: R1 705
Pension allowances younger than 75: R1 695
Disability allowances: R1 400
War veteran allowances: R1 175
Foster care allowances: R1 005
Care dependent allowances: R695
Child support allowances: R405.
Step 4
1.1.4 Determine (in rand) the increase in the disability allowances for March 2020.
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Answer
The increase in disability allowances for March 2020 is calculated as follows:
Increase = R1 460 - R1 400 = R60.
Thus, the increase in the disability allowances is R60.
Step 5
1.1.5 Write down the type(s) of allowances which represents the highest amount in March 2020.
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The type of allowance that represents the highest amount in March 2020 is the 'Pension allowances older than 75' at R1 800.
Step 6
1.2.1 Convert 400 g to kg.
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Answer
To convert 400 g to kg, we use the conversion factor where 1 kg = 1000 g. Thus,
400 g = \frac{400}{1000} kg = 0.4 kg.
Step 7
1.2.2 Determine the profit she will make if she sells a can of Hot and Spicy Chakalaka.
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Answer
The profit is calculated by subtracting the cost price from the total selling price:
Profit = Selling Price - Cost Price = R14.30 - R10.99 = R3.31.
Step 8
1.2.3 How many packets will she be able to get from ONE pack of sugar?
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Naomi buys a 2.5 kg packet of sugar and sells it in packs of 250 g. To find out how many packets she can get:
Number of packets = \frac{2500 g}{250 g} = 10 packets.
Step 9
1.2.4 Calculate the selling price of ONE small packet.
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The selling price of one small packet of Tastic rice, which is divided into 8 smaller packets:
Selling Price of one packet = \frac{R29.20}{8} = R3.65.
