NGAKA MODIRI MOLEMA
GRADE 11
MATHEMATICAL LITERACY
ASSIGNMENT
15–16 AUGUST 2024
MARKS: 50
TIME: 1 hour
This question paper consists of 7 pages including the answer sheet.
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Mathematical Literacy /Term 3 Assignment
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Grade 11
NMM/August 2024
INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions.
1.
This question paper consists of FOUR questions. Answer ALL the questions.
2.
Start EACH question on a NEW page.
3.
Number the answers correctly according to the numbering system used in this question
paper.
4.
You may use an approved calculator (non-programmable and non-graphical), unless
stated otherwise.
5.
Show ALL calculations clearly.
6.
Round off ALL final answers appropriately according to the given context, unless stated
otherwise.
7.
Indicate units of measurement, where applicable.
8.
Diagrams are NOT necessarily drawn to scale, unless stated otherwise.
9.
Write neatly and legibly.
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Mathematical Literacy /Term 3 Assignment
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Grade 11
NMM/August 2024
QUESTION 1
Paul is planning to open a new business, he is worried about the unstable
inflation rate of South Africa in the past years, he extracted information about
the inflation rate from the year 2015 to 2019 to study the change in the rate.
Below is a graph showing the inflation rate for the years 2015 to 2019
DIAGRAM 1
[source: CPI, February 2020]
Use the information above to answer the following questions.
1.1
Write down the inflation rate for 2016.
(2)
1.2
Determine the difference between the inflation rate of February 2020 and January
2020.
(2)
The price of an office desk in 2019 was R252, 99. Determine the price of the desk
in 2020.
(3)
1.3
1.4
The price to rent the office was R7 500 in 2022 and in 2023, it increased to R9
700. Determine the inflation rate in 2023.You may use the following formula:
𝒊𝒏𝒇𝒍𝒂𝒕𝒊𝒐𝒏 𝒓𝒂𝒕𝒆 =
1.5
𝐧𝐞𝐰 𝐩𝐫𝐢𝐜𝐞−𝐨𝐥𝐝 𝐩𝐫𝐢𝐜𝐞
𝐨𝐥𝐝 𝐩𝐫𝐢𝐜𝐞
× 𝟏𝟎𝟎%
(3)
Explain the trend of the graph from 2015 to 2017.
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(3)
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Mathematical Literacy /Term 3 Assignment
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Grade 11
NMM/August 2024
QUESTION 2
Paul and his fiancé who stays in USA are planning their wedding on
the 30 September 2024, they are planning to invite 80 people with
their plus ones. The pie chart below shows an extract of their wedding
reception.
DIAGRAM 2
[ www.roadtopic.com ]
NOTE: $ 1, 650 = $ 1 650 = One thousand six hundred and fifty $
1$ = 18. 2967 ZAR
Use the diagram and the informattion above to answer the questions that follow.
2.1
Define the term exchange rate.
(2)
2.2
Determine the total number of people who will be present at the wedding.
(3)
2.3
Paul’s father is going to pay 60% of the budgeted amount. Determine how
much Paul’s father will pay.
(2)
2.4
Amy who stays in South Africa is Paul’s sister and she agreed to borrow
Paul the remaining 40% at 12% p.a compounded annually for 3 years.
Determine in RANDS the amount that he will pay back to his sister.
You may use 1$ = 18. 2967 ZAR
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(8)
[15]
Mathematical Literacy /Term 3 Assignment
5
Grade 11
NMM/August 2024
QUESTION 3
The company catering for Paul’s wedding sold one plate for R115. They have
spent R2 000 for transport and R90 ingredients on one plate. The table below
shows the relationship between the Income and Expenses of catering during the
wedding event.
TABLE 1: INCOME AND EXPENSES OF THE WEDDING EVETNT
No. of plates
0
20
50
80
A
Total cost
B
3800
6500
9200
11000 13250 15050 16580
Income
0
2300
5750
C
11500 14375 16675 18630
3.1
125
145
162
Determine the formula to calculate cost in the form.
Cost = …………….
(2)
3.2
Determine the values of A, B and C.
(5)
3.3
Use the ANSWER SHEET provided to draw the graph of cost and
indicate the break-even point with the letter E.
(4)
3.4
Determine the profit of making 125 plates.
(2)
3.5
Write down the number of plates the company must make to begin
making profit.
(2)
Explain the term break even according to the given context.
(2)
3.6
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QUESTION 4
Consider the withdrawal charges for Paul’s credit card and answer the following
questions.
TABLE 2: WITHDWAL CHARGES FOR PAUL’S CREDIT CARD
Cash withdrawal fee-own bank
ATM
R5,50 for up to R500
R11,00 for R500,01 to R1000,00
R16,50 for more than R1001,00
Cash withdrawal fee- other bank
ATM
R5,75+ R5,50 for up to R500
R5,75+ R11,00 for R500,01 to R1000,00
R5,75+ R16,50 for more than R1001,00
Cash withdrawal fee- own bank
branch
R23,50+1,10% of value
Maximum fee R1 500
4.1
Write down the withdrawal fee for withdrawing R1000 at own bank’s ATM.
(2)
4.2
Paul decided to withdraw R1 300 at the branch, determine the bank charges he
will pay.
(3)
[5]
GRAND TOTAL [50]
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Mathematical Literacy
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Grade 11
District/August 2024
NAME:
CLASS:
ANSWER SHEET
..............................................
25000
Income
20000
Amount in (R)
15000
10000
5000
0
0
20
40
60
80
100
No of plates
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120
140
160
180
200