MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2025
SECONDARY SCHOOLS IMPROVEMENT PROGRAM (SSIP)
2025
GRADE 12
SUBJECT: MATHEMATICAL LITERACY
LEARNER GUIDE
TABLE OF CONTENTS
SESSION NO
TOPIC
PAGE
5
Developing questions, collection, organizing and
classifying data
2
6
Summarizing data: Measure of central tendency and
measure of spread
8
7
Quartiles and Box and Whisker Plot
13
8
Representing and Analysing data
22
MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
SESSION 5
TOPIC: DATA HANDLING
SECTION:
DEVELOPING QUESTIONS, COLLECTION, ORGANIZE AND CLASSIFY DATA.
TERMINOLOGIES
Data: raw information collected.
Developing questions: The first step in statistical process.
Collection of data: gathering and measuring of raw information (data)
Data can be collected by using observation, interview and survey
method
Organising data: Arranging of raw data in an understandable order.
Classifying data: The process of organising data into groups or classes e.g. gender.
The data can be classified as Numerical or Categorical.
Categorical data: Can be identified based on the names or labels given
e.g. Race, gender, age group and educational level
Numerical data: It is in the form of number not in descriptive form.
Two types on numerical data: i.e. Discrete and Continuous data.
Discrete data: Data that is collected by counting, it consists of whole numbers.
e.g. number of learners in a class.
Continuous data: Data that is collected by measuring.
e.g. height of a learner.
Ascending order: arranged data from smallest to biggest.
Descending order: arranged data from biggest to smallest.
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
Statistical cycle: process of collecting, organising and analysing data.
By the end of this session, you should be able to:
• Define terminologies given in developing questions.
• Sort data in ascending or descending order.
• Differentiate between different types of data.
• Organise collected data by means of tallies and frequency tables.
• Complete the given frequency tables.
SECTION A: TYPICAL EXAM QUESTIONS
QUESTION 1 (TAKEN FROM ACE IT STUDY GUIDE) (THE ANSWER SERIES GRADE 12)
1.1.
In a survey 20 learners were asked how many hours they spend practicing Mathematical
Literacy in a week. Their responses are given below (correct to the nearest hour)
5hours 10 hours
6hours 8hours
1.1.1.
1.1.2.
12 hours
4hours
4hours
10 hours
3hours
8hours
12 hours
7hours
7hours 10hours 8hours 6hours
6hours 9hours 3hours 7hours
Is the type of data above classified as categorical or numerical? Explain
Complete the grouped frequency table for the data shown below
Grouped
1hour – 5hours
6 hours – 10hours
11hours – 15 hours
Tally
Total
(2)
(3)
Frequency
20
1.1.3.
Write down two questions than can be asked about this data.
1.2.
Classify each of the following as categorical or numerical and then as discrete or continuous
data (if data is numerical in nature)
1.2.1. The number of coffee beans in a packet of coffee.
(2)
1.2.2. The time of the day when people take lunch.
1.2.3. The colour of jellybeans in a box.
(2)
1.2.4. The rate at which flows from hose pipe.
(2)
1.2.5. The types of tastes present in a bottle of wine.
(2)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 2
QUESTION 2.1. [ADAPTED FROM KZN SEPT 2021 P1]
The data shown in TABLE below shows the data that was collected to investigate whether pandemic
(Covid 19) had an impact on the 2020 matric results of government school in 2020 matric results of
government school 2019 and 2020 columns show provincial pass rates
TABLE: COVID 19 EFFECT ON MATRIC PASS RATE
Use the information in the TABLE above to answer the questions that follow
2.1.1. Is the above data a continuous or discrete data? Explain
2.1.2. Name TWO provinces that had the greatest drop in the pass rate from 2019 to 2020.
2.1.3. Arrange the number of infections in descending order.
2.1.4. Arrange the differences of provinces in ascending order
(2)
(2)
(2)
(2)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
Question 2.2. [Adapted : KZN P1 SEPT 2022]
People prefer to buy lean cows because they are cheaper. The buyer will have to feed them for a
certain period of time. The frequency table below shows the masses of lean cows in a nearby cattle
farm
TABLE: MASSES OF LEAN COWS IN KILOGRAMS
Use the TABLE above to answer the following questions.
2.2.1. Which statistical cycle stage is shown by the table above?
2.2.2. Determine the number of cows that weighed less than 170 kg.
2.2.3. Calculate the percentage of cows that weigh more than 180 kg.
(2)
(2)
(2)
2.3. The two-way table below shows the Mathematical Literacy test results from 1 550 learners in
one of the districts in KZN.
MATHEMATICAL LITERACY TEST RESULTS
Use the TABLE above to answer the questions that follow.
2.3.1.
2.3.2.
Calculate the missing values of G and H.
(4)
Use the two-way table above to determine the probability that a learner chosen at random is
a boy that passed the test.
Write the answer as a fraction in its simplest form.
(3)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 3 [ADAPTED NW SEPT 2022 P1]
TABLE on the ANNEXURE below shows the statistics of the number of students enrolled in PHEI's
(Private Higher Education Institutions) by population group and nationality from 2011-2019.
STATISTICS OF THE NUMBER OF STUDENTS ENROLLED IN PHEI’s FROM 2011 TO 2019
NOTE:
*Unspecified refers to number of students who did not report on population group and/or
nationality.
*N.A. means not applicable.
Use TABLE 4 on ANNEXURE C to answer the questions that follow.
3.1. Write down a data collecting method that can be used to collect the above statistics.
(2)
3.2. Determine A, the total number of South African students in 2015.
(2)
3.3. If there were 5 female students for every 9 students in 2018, determine total the number of male
students that enrolled.
(4)
3.4. Calculate the Foreign students as a percentage of the total number of students in 2013.
(3)
3.5. Determine the probability, as a decimal, that a coloured student enrolled in South Africa in 2012.
(3)
3.6. Determine the probability, as a percentage rounded to two decimal places, that a student will be
a Foreigner or unspecified student in 2019.
(4)
3.7. Write the Total South African students in 2019 in words
(2)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
SECTION B
QUESTION 1 [ADAPTED NSC EXEMPLAR 2021 P1] HOMEWORK
Every month Statistics South Africa (StatsSA) collects data relating to the prices of
44
common household goods. This is called the Household Food Index (HFI). The HFI for some South
African cities and the difference in rand and percentage (%) change for three months in 2020 is
given in TABLE 1.
TABLE :
HOUSEHOLD FOOD INDEX, CHANGE IN RAND AND PERCENTAGE CHANGE FOR
SOME CITIES
INDEX IN RAND
2020/21
CITY
CHANGE
IN RAND
IN %
Oct.
Oct.
Sep.
Sep. to
to
to
to
Nov.
Nov.
Nov.
Nov.
September
(Sep.)
October
(Oct.)
November
(Nov.)
Johannesburg
3 886,87
3 969,41
4 054,94
85,53
A
2,2
4,3
Durban
3 800,59
3 907,62
4 022,78
115,16
222,19
2,9
5,8
Cape Town
3 902,48
3 920,86
3 975,28
54,43
72,80
1,4
1,9
Springbok
4 061,48
4 034,53
4 425,03
390,49
363,20
9,7
8,9
Pietermaritzburg
3 678,32
3 709,92
3 742,34
32,42
64,02
0,9
1,7
[Adapted from www.mail and guardian.co.za]
Use the information above to answer the questions that follow.
3.1
Define the term inflation in the context above.
(2)
3.2
State whether the data shown in the change-in-rand column is discrete or
continuous.
(2)
Arrange the cities in the change-in-% column for October to November in
descending order of percentages.
(2)
3.4
Calculate the missing value A.
(2)
3.5
Which city (name) has the largest increase in rand from October to November?
3.3
(2)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
SESSION 6
TOPIC: DATA HANDLING
SECTION:
SUMMARISING DATA
TERMINOLOGIES:
Measures of Central Tendency: single value that summarises a set of data that
includes Mean, Mode.
Mean: The sum of numerical values in a set of data divided by the number they are
Median: The middle most data value is a set of arranged data .
Mode: The Data value that occurs the most.
Outlier: A value in a data set that is either too small or too big compared to the values in the same
set
Measure of spread: A value that provides an indication of how ‘spread out’ the data is.
Range and Interquartile range are both measures of spread.
Range: The difference between the highest and lowest values in a data set.
Quartiles: Data points which divide an ordered data set into four equal parts.
By the end of this session, you should be able to:
•
•
Determine the mode, mean, median, range, quartiles, and the interquartile range.
Decide with reasons which average (mean, median and mode) provides the most accurate
representation of the data.
NB: Which average (mean, median and mode) provides the most accurate representation
of data
•
•
•
Mean is the most accurate if a set of data doesn’t have an outlier.
Median is the most accurate if a set of data has an outlier.
Mode is the most accurate in categorical data.
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
TYPICAL EXAM QUESTIONS
SECTION A
Question 1 [Adapted NW Sept 2021 P1 ]
The following temperatures were taken from learners at Carpe Diem High School during their
screening. Learners with high temperatures were kept in isolation.
TABLE : RECORD OF LEARNER’S TEMPERATURES (In ℃)
Use the information above to answer the following questions.
1.1. Explain the term, Mode.
(2)
1.2. Determine the mode temperature on day 1.
(2)
1.3. Determine the median temperature of the learner in 11A from day 1 up to day 7 (Excluding the
average temperature).
(2)
1.4. The range of the temperatures of the learner in 8B is 2,7. If the value A is the maximum value,
determine the value A. Show all calculations.
(2)
1.5. The average temperature of the learner in 10A is 37,87. Calculate the value B.
Round your answer to one decimal place. Show all calculations.
(5)
1.6. Determine the probability of randomly selecting a learner with a temperature of
38,9 degrees on day 4. Write your answer as a fraction in its simplest form.
(2)
1.7. Determine the probability of randomly selecting the recorded temperature in 12A
which is above 38℃. Write your answer as a percentage, rounded to the nearest
whole number.
(3)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 2 [ADAPTED EC SEPT 2021 P1]
Mining plays a significant role in the economy of our nation. The information below indicates how
the mining industry performed in 2019.
TABLE : THE MINING INDUSTRY IN 2019
[Adapted from mineralscouncil.com]
Use the above information in the TABLE to answer the questions that follow.
2.1. Determine the median value for the total sales.
(2)
2.2. Determine the mean number of direct employees in the mining industry.
Give your final answer to the nearest thousand.
(4)
1.1. Write down the modal value for ‘royalties paid’. Give your answer in number format / figures
without words.
(2)
1.2. Calculate the probability (expressed as a percentage) of randomly selecting a type of
1.3. ‘Metals and minerals’ that had less than 19 500 direct employees in 2019.
(3)
Determine the five number summary of employee earnings
1.4. Hence determine the IQR of employee earnings
(2)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 3 [ADAPTED FS SEPT 2022 P1 ]
Agriculture plays a crucial role in food security by supplying the basic food products to keep
millions of people fed every day. In South Africa, the industry produces various products, from
beef and poultry to maize, fruits, and vegetables.
The table below shows the commercial farming land per province in South Africa in 2017.
TABLE: COMMERCIAL FARMING LAND IN HECTARES AND PERCENTAGE PER PROVINCE IN 2017
Use the TABLE above to answer the questions that follow
3.1. State why the data for the farming land is regarded as continuous.
3.2. The mean number of farmworkers in South Africa in 2017 was 84 180,33.
Hence determine A, the number of farmworkers in the Free State in 2017.
3.3. Calculate the value of B.
3.4. A farmer stated that in Western Cape, there are 27 farmworkers for every farm
and that in Gauteng, there are 16 farm workers for every farm.
Determine, using unit ratios, whether the statement is correct.
3.5. Determine the range of the arable land.
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(2)
(4)
(3)
(6)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 4 [ADAPTED KZN SEPT 2022 P1] HOMEWORK
The TABLE below shows the 2020 and 2021 matric results for each of the nine provinces
in South Africa.
TABLE : PROVINCIAL MATRIC PASS RATES FOR 2020 AND 2021
Use the information and the TABLE above to answer the questions that follow.
4.1. Calculate the missing value F.
4.2. Hence write down the percentage difference in descending order
4.3. Determine the five number summary of the 2020 pass rates
4.4. Hence determine the IQR of the 2020 pass rates
4.5. Calculate the country’s mean percentage pass rate for 2021.
4.6. Determine the range of percentage difference
4.7. Determine the median of the percentage difference
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(2)
(5)
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(4)
(3)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
SESSION 7
TOPIC: DATA HANDLING
SECTION: QUARTILES and PERCENTILES
TERMINOLOGIES:
BOX and WHISKER PLOT - A graph summarizing a set of data.
QUARTILES
•
These are measures of spread dividing the data into 4 equal parts of 25% each.
•
•
•
•
The lower quartile (Quartile 1 or 25th percentile) is 25%.
The median (Quartile 2 or 50th percentile) is 50%.
The upper quartile (Quartile 3 or 75th percentile) is 75%.
Interquartile range (IQR) is the difference between the upper quartile and lower quartile. It
indicates the spread between the lower part of data and the upper part of data.
Maximum is the highest value in a data set.
Minimum is the lowest value in a data set
•
•
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
PERCENTILES
•
This is the division of data into 100 equal groups. This used to analyze the spread in the large
sets of data.
•
The value at 25th percentile implies that 25% of values lie below 25 th percentile and 75% of
the values lies above 25th percentile.
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 1
1.1 (ADAPTED IEB P1 NOV 2021)
The following box-and-whisker plots show the heights, in cm, of a class of 32 grade 12 female
learners.
Use the box-and-whisker plot to answer the questions that follow.
1.1.1.
1.1.2.
1.1.3.
1.1.4.
Write down the median height.
Calculate the interquartile range.
Calculate how many learners lie above the Upper Quartile.
How many learners lie between Lower Quartile and Upper Quartile.
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(2)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
1.2 (ADAPTED KZN PRELIM P1 SEPT 2022)
The box-and-whisker plot below shows the 2021 matric pass rates for the nine provinces
rounded off to the nearest whole numbers.
Use the box-and-whisker plot and the information above to answer the following questions.
1.2.1 Write down the minimum, maximum and median pass rates.
(2)
1.2.2 One Mathematical Literacy learner stated that the difference between the range
and The Inter-Quartile Range (IQR) is 12%. Verify, using calculations whether
the statement is correct.
You may use the formula: 𝐈𝐐𝐑=𝐐𝟑−𝐐𝟏
(6)
1.2.3 Free State Province had the highest pass rate for 2021 matric results.
If 35 055 Grade 12 learners wrote, calculate the number of learners who failed.
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 2
2.1 (ADAPTED EC JUNE 2017 P2)
At a special school for learners with special needs, the data below show the
arranged ages of girls with Down syndrome and a corresponding box-and-whisker
plot.
8
13
16
9
13
16
9
13
16
9
14
16
9
14
16
10
14
17
10
15
17
11
15
17
11
15
17
12
16
18
12
16
18
12
16
A
Use the information above to answer the questions that follow.
2.1.1.
2.1.2.
2.1.3.
2.1.4.
2.1.5.
2.1.6.
Determine the missing value A if the range of the ages of girls with Down Syndrome in the
school is 11 years.
(2)
Hence, calculate the mean age of the girls with Down syndrome in this school.
(3)
Calculate the missing quartile values B, C and D of the box-and-whisker plot.
(5)
If a girl with Down Syndrome is randomly chosen at this school, determine the probability
that this girl is not 16 years or younger.
(2)
How many ages of the girls lie below lower quartile?
(2)
Determine the difference between Q1 age and minimum age
(2)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
2.2. (ADAPTED GP PRELIM 2015 P1)
The box-and -whisker graph below shows the speed of ten jet skis (a water vessel that
looks like a motorbike and operates like one) available for guests when visiting the
Portuguese Islands.
Use the information above to answer the following:
2.2.1. Write down the speed of the jet ski that was travelling the fastest.
2.2.2. If the speed limit allowed on the water is 100 km/h, determine how much
faster than the speed limit the fastest jet ski was travelling.
2.2.3. Write down the median speed of the jet ski’s recorded.
2.2.4. Write down the value of the lower quartile and upper quartile of this set of data. (2)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 3
3.1 (ADAPTED MP PRELIM 2021 P1)
The box-and-whisker plots summarize the hourly wages (in American dollars) of employees at two
different fitness clubs.
The Fitness Centre club employs 24 employees and The Fitness Plus club employs 40 employees.
Use the information and the box and whisker plot above to answer the questions that follow.
3.1.1 What percentage of employees at Fitness Plus club earn an hourly wage of $14
and less?
(2)
3.1.2 Calculate the inter-quartile range of the hourly wages for the employees working at
The Fitness Center club.
(3)
3.1.3 The employees work eight hours a day in these fitness clubs. An analyst reckons that
more than 50% of the employees at The Fitness Center club are earning more than
$144 per day.
Verify by means of calculations if this statement is correct.
(4)
3.1.4 Margaret has been offered a top management job at both clubs. EXPLAIN which club
she must choose to work at, if her decision is based on salary only.
(3)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
3.2 (ADAPTED EC PRELIM 2020 P2)
After the second factory was up and running, Mrs. Lingham compared the production of the two
factories in one year. She used a box-and-whisker diagram.
Production in thousands
Use the box-and-whisker diagrams to answer the questions that follow.
2.1.1.
Explain which factory performed the worst in terms of production if the median and
interquartile ranges are compared.
3.2.2 With reference to your answer in QUESTION 2.2.1, do you think it was a
good idea of Mrs. Lingham to compare the production of the two factories?
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 4 (ADAPTED EC PRELIM 2017 P2) HOMEWORK
The map BELOW is showing maximum temperatures for some towns and cities in South Africa and
neighbouring countries.
Map with the maximum temperatures on 11 August 2016:
4.1. If the mean for the maximum temperature of all the towns and cities shown on the
map is 26,762 °C, calculate the modal value B for the 5 towns and cities represented
by B on the map.
4.2
The box and whisker diagram represents the minimum temperatures:
Calculate the difference between the interquartile ranges of the minimum temperatures
and maximum temperatures.
(7)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
SESSION 8:
TOPIC: DATA HANDLING
SECTION: REPRESENTING AND ANALYSING DATA
CONTENT: WORKING WITH GRAPHS
LESSON OBJECTIVES:
At the end of this lesson, you should be able to:
• Analyze the collected data presented in the graphs
• Represent the collected data using appropriate graphs
• Read the collected data from the graphs
LEARNER NOTES
Different types of graphs will be dealt with, but not limited to:
• Bar graphs
• Histograms
• Line graphs
• Pie chats
SECTION A: POSSIBLE EXAM QUESTIONS
QUESTION 1 [2021 WC & KZN PRELIM]
1.1.
The following graph was released by STATSSA indicating the main sources of income for
municipalities in South Africa.
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
1.1.1.
1.1.2.
Classify this data as discrete or continuous data.
Show how the amount from sales of electricity of R24,9 billion was calculated.
1.2.
During the 2021 Olympics Games in Japan, it was observed that the first 425 journalists who
arrived in Tokyo, the median age was 59 years and 56% were male. The mean time spent in
Tokyo was 5,2 days with the 95th percentile of the distribution at 12, 5 days.
Determine the percentage of the first 425 journalists that were female.
(2)
Explain what is meant by “the 95th percentile of the distribution was at
12,5 days.”
(2)
1.2.1.
1.2.2.
1.3.
(2)
(2)
Statistics South Africa monitored the number of tourists from the Southern African
Development Community (SADC) Countries visiting South Africa in 2020.
The information is presented in the pie chart below:
Percentage distribution of 2,1 million tourists from SADC countries
visiting South Africa on Holiday in 2020.
1.3.1.
1.3.2.
1.3.3.
1.3.4.
Use the pie chart above to answer the questions that follow.
Determine the SADC Country that had the second most visitors to South Africa in 2020. (2)
Identify from the chart the highest percentage visitors from a country found in the “other
countries” section.
(2)
Calculate the number of people that visited South Africa from Mozambique in 2020.
(3)
Calculate the total percentage of the other countries.
(3)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
1.4.
SSIP MATERIAL 2023
The data shown in TABLE 1 below shows the data that was collected to investigate whether
the pandemic (Covid 19) had an impact on the 2020 matric results of government schools.
2019 and 2020 columns show provincial pass rates.
TABLE 1: COVID 19 EFFECT ON MATRIC PASS RATE
Province
FS
GP
NW
WC
KZN
MP
NC
EC
LP
Number of:
Infections
Deaths
79 049
3 039
400 636
9 392
59 948
1 057
273 433
10 984
326 031
9 400
69 613
1 213
33 337
650
193 549
11 189
61 170
1 784
Provincial Pass rate
2019
2020
Difference Impact
88,4
85,1
-3,2
Significant
87,2
83,8
-3,5
Significant
86,8
76,2
-10,6
Enormous
82,2
79,9
-2,4
Slight
81,3
77,6
-3,7
Significant
80,3
73,7
-6,6
Great
76,5
66,0
-10,5
Enormous
76,5
68,1
-8,3
Great
73,0
68,2
-5,0
Significant
Source: [www.dailymaverick.co.za]
Use the information in TABLE 1 above to answer the questions that follow.
1.4.1.
1.4.2.
1.4.3.
1.4.4.
1.4.5.
What type of statistical graph can be used to compare the pass rates for 2019 and 2020? (2)
Write down the modal pass rate for the 2019 data.
(2)
Name TWO provinces that had the greatest drop in the pass rate from 2019 to 2020.
(2)
Arrange the number of deaths in descending order.
(2)
Is there any relationship between the number of deaths and the provincial pass rates for
2020?
(2)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 2 [2021 NW, MP, LP PAPER 1]
2.1. The Grade 12 learners wrote a test in term 1 2020 before the pandemic and term 3 2020 during
the pandemic. The marks were represented on a box and whisker plot. Study the graphs below
and answer the following questions. The total mark for each test was 30 marks.
RESULTS OF TESTS IN TERM 1 AND TERM 3
Use the information and diagram above to help you to answer the following questions:
2.1.1. Explain the term outlier and state the biggest outlier of the two sets of data.
(3)
2.1.2. Determine which test had the largest interquartile range between the test in term 1 and the
test in term 3. Show all calculations.
(6)
2.1.3. Explain the impact the pandemic had on the results of the two sets of data and use the
measure of central tendency to justify your answer.
(4)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
2.2. There were 50 athletes that attended the camp. The figure below shows the percentage of
athletes from different age groups at the camp.
FIGURE 1: PERCENTAGE OF ATHLETES IN DIFFERENT AGE GROUPS ATTENDING THE CAMP
2.2.1.
2.2.2.
2.2.3.
Determine the percentage of athletes in the 12 to 13 years age group that attended the
camp.
(2)
What is the probability of randomly selecting an athlete in the 14 to 17 years age group?
Give your answer as a decimal.
(3)
Calculate the number of athletes, older than 17 years at the camp.
(2)
2.3. In 2020 the then MEC of Education in Gauteng, Mr Panyaza and Dr Tate Makgoe the MEC of
Education in Free State compared the 2020 matric results for the two provinces.
TABLE 3: COMPARISON OF 2020 MATRIC RESULTS FOR TWO PROVINCES
Province
Free State
Gauteng
2.3.1.
2.3.2.
Number of learners per type of matric pass
% Pass
Bachelor
Diploma
Certificate
11 284
8 740
3 740
85,1%
49 680
30 675
11 879
83,7%
[Source www.education.gov.za]
Analyze the results of the two provinces to determine the province that performed better.
Motivate your answer by giving at least two valid reasons.
(5)
A bar graph on the Answer Sheet represent the 2019 pass rate of all the provinces in SA.
Complete the bar graphs 0f 2020 pass rate of the remaining provinces.
(6)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
QUESTION 3 [2021 KZN & GP PAPER 1]
1.1. Organized crime in workplaces is a common phenomenon in South Africa. The perpetrators are
mostly managers at different levels. The graph below shows main perpetrators of internal fraud
in workplaces.
Main perpetrators of internal fraud in South Africa
At what level withing your organization was the internal perpetrator of the most
disruptive economic crime incident?
3.1.1.
3.1.2.
3.1.3.
What type of graph is used to display this data?
(2)
Which year witnessed the same percentage level of internal fraud by managers in South
Africa and what was the approximate level for that particular year?
(2)
Describe the trend shown by the graph from 2016 to 2020.
(4)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
3.2. Study the graph below to answer the following questions:
3.2.1.
3.2.2.
3.2.3.
Describe the trend of the ordinary pass rate and the university entrance pass rate
separately.
(4).
If the data collected from the ordinary and university entrance pass rate was done in
Gauteng, explain whether this data is biased or valid for the country.
(2)
Construct a questionnaire with 4 questions that you would ask a learner who achieved a
university entrance.
(4)
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
SECTION B : HOMEWORK
QUESTION 1 [2021 FS & EC PRELIM]
1.1.
Due to the high cost of electricity in South Africa, some residents choose to use illuminating
paraffin. The graph below shows the cost per litre of illuminating paraffin over a period of 12
months in 2020.
GRAPH 1: COST PER LITRE OF ILLUMINATING PARAFFIN IN JANUARY – DECEMBER 2020
1.1.1.
1.1.2.
1.1.3.
1.1.4.
1.2.
Identify the type of graph used.
(2)
Write down the month(s) on which the cost of illuminating paraffin was less than R5,00. (2)
Determine the number of litres of illuminating paraffin that can be bought with R225,00 in
November 2020.
(2)
Convert R8,58 into cents.
(2)
A study was made on the most spoken languages across the world.
The graph below shows the difference between native and non-native speakers in millions.
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
SSIP MATERIAL 2023
Use the graph above to answer the questions that follow.
1.2.1. Name the type of graph represented above.
1.2.2. Which language was least spoken by Native speakers?
1.2.3. Determine the total number of Hindi-speaking people.
1.2.4. Calculate the difference between the Non-Native Mandarin and Non-Native English
speakers.
1.2.5. Write down the language that has the second most Native speakers.
1.3.
(2)
(2)
(2)
(2)
(2)
PATH is the Professional Association of Therapeutic Horsemanship.
The Pie charts below shows the age categories represented in PATH International programs.
There were 266 000 adults that participated.
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MATHEMATICAL LITERACY GRADE 12 EDUCATOR’S NOTES
1.3.1.
1.3.2.
1.3.3.
1.3.4.
SSIP MATERIAL 2023
Use the Pie Charts above to answer the questions that follow:
Which group had the least percentage of participants in the main group?
(2)
Determine the number of participants for the age group 65+, rounded to the nearest
hundred.
(3)
Calculate the percentage young adults that participated at the camp.
(3)
Calculate the total number of participants that took part in the program. (3)
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