MAE101J
EXAM PACK
,UNIVERSITY EXAMINATIONS
May/June 2020
MAE101J
Numbers and Operations in intermediate and Senior Mathematics
100 Marks
Duration 2 Hours
This paper consists of seven (7) pages.
Answer all the Questions
Instructions:
Use of a non-programmable calculator is permissible
Open book examination – Study material permissible
This examination question paper remains the property of the University of South Africa and
may not be removed from the examination platform
To upload the examination, login to myUunsa click on "myAdmin", "Assessment Admin" and
then on "Examination submission". Choose the module you want to submit. Remember to
click "Submit" once you have finished uploading your examination answer script.
QUESTION 1
, MAE101J TAKE HOME
MAY/JUNE 2020
1.1 Londiwe has a part-time job. She kept a record of all her earnings and all the
payments she made during the month of November 2019.
Salary R4 500
Rent to landlord R1300
Rent from room mate R 500
Entertainment R 150
School fees R 155
Telephone Bill (Cellphone) R 435,05
Clothing and toiletries R 300
Bank Charges R 50
Groceries R 2 095
Taxi and Bus Fare R 400
Water and electricity R 370
1.1.1 Show by means of a calculation whether Londiwe has a surplus or a deficit. (2)
1.1.2 If Londiwe wants to improve her financial position, on which two items do you
think she should spend less money? Give reasons for your answer. (3)
1.1.3 Londiwe receives an increase of 8% on her salary. Her expenses on rent,
including rent from roommate increase by 10%. All other expenditures remain
the same. Show by means of calculations if she will have a surplus or a
deficit. (6)
1.2 The table below is part of Paul’s landline account bill for her landline telephone.
BORS NETWORK SERVICE PROVIDER
Invoice November 2019
Rental R317,54
Usage R92,15
Discounts R28,07 CR
Sub-Total R381,62
VAT 𝟏𝟒% R xxxxxxx
TOTAL (this invoice) R 435,05
1.2.1 Show how the sub-total value of 𝑅381,62 was calculated. (2)
1.2.2 In South Africa, 14% VAT was implemented in 2017. Use this percentage to
calculate the VAT on 𝑅381,62 (3)
1.2.3 Show how the total value of 𝑅435,05 was calculated. (1)
2
, MAE101J TAKE HOME
MAY/JUNE 2020
3 6
1.3 Draw an area model to illustrate that = (3)
4 8
[20]
QUESTION 2
2.1 Study the problem below:
Jon wants to buy a cellphone. He wants to choose one of the two prepaid call
charge options shown below:
OPTION A
Peak voice calls Off-Peak voice calls SMS Peak SMS
Monday-Friday Monday-Friday Off-Peak
07:00 – 20:00 20:00 – 07:00
R2,55/min R1,40/min R0, 80 R0,35
OPTION B
Peak and Off-Peak SMS Peak SMS
Off-Peak
R2,70 for the first minute thereafter R0, 80 R0,35
R1,55/min
2.1.1 Suppose Jon makes a call for 35 minutes at 19:25 on Option A, how will he
calculate the cost of the call? Show all calculations. (3)
2.1.2 If Jon has to make a call for 15 minutes at 23:00 on Option B how much will it
cost him? Show all calculations. (3)
2.1.3 Will it be cheaper for Jon to talk for 5 minutes at 10:00 on a weekday on Option
A or Option B? Show all your calculations. (4)
2.2 In your classroom, there are 8 white chairs. There are 2 times as many yellow
chairs as white chairs, and the blue chairs are 3 fewer than yellow chairs. By
means of a calculation determine the total number of chairs in your class. (6)
2.3 A Grade 4 learner committed the following error when dividing 642 by 6:
3
EXAM PACK
,UNIVERSITY EXAMINATIONS
May/June 2020
MAE101J
Numbers and Operations in intermediate and Senior Mathematics
100 Marks
Duration 2 Hours
This paper consists of seven (7) pages.
Answer all the Questions
Instructions:
Use of a non-programmable calculator is permissible
Open book examination – Study material permissible
This examination question paper remains the property of the University of South Africa and
may not be removed from the examination platform
To upload the examination, login to myUunsa click on "myAdmin", "Assessment Admin" and
then on "Examination submission". Choose the module you want to submit. Remember to
click "Submit" once you have finished uploading your examination answer script.
QUESTION 1
, MAE101J TAKE HOME
MAY/JUNE 2020
1.1 Londiwe has a part-time job. She kept a record of all her earnings and all the
payments she made during the month of November 2019.
Salary R4 500
Rent to landlord R1300
Rent from room mate R 500
Entertainment R 150
School fees R 155
Telephone Bill (Cellphone) R 435,05
Clothing and toiletries R 300
Bank Charges R 50
Groceries R 2 095
Taxi and Bus Fare R 400
Water and electricity R 370
1.1.1 Show by means of a calculation whether Londiwe has a surplus or a deficit. (2)
1.1.2 If Londiwe wants to improve her financial position, on which two items do you
think she should spend less money? Give reasons for your answer. (3)
1.1.3 Londiwe receives an increase of 8% on her salary. Her expenses on rent,
including rent from roommate increase by 10%. All other expenditures remain
the same. Show by means of calculations if she will have a surplus or a
deficit. (6)
1.2 The table below is part of Paul’s landline account bill for her landline telephone.
BORS NETWORK SERVICE PROVIDER
Invoice November 2019
Rental R317,54
Usage R92,15
Discounts R28,07 CR
Sub-Total R381,62
VAT 𝟏𝟒% R xxxxxxx
TOTAL (this invoice) R 435,05
1.2.1 Show how the sub-total value of 𝑅381,62 was calculated. (2)
1.2.2 In South Africa, 14% VAT was implemented in 2017. Use this percentage to
calculate the VAT on 𝑅381,62 (3)
1.2.3 Show how the total value of 𝑅435,05 was calculated. (1)
2
, MAE101J TAKE HOME
MAY/JUNE 2020
3 6
1.3 Draw an area model to illustrate that = (3)
4 8
[20]
QUESTION 2
2.1 Study the problem below:
Jon wants to buy a cellphone. He wants to choose one of the two prepaid call
charge options shown below:
OPTION A
Peak voice calls Off-Peak voice calls SMS Peak SMS
Monday-Friday Monday-Friday Off-Peak
07:00 – 20:00 20:00 – 07:00
R2,55/min R1,40/min R0, 80 R0,35
OPTION B
Peak and Off-Peak SMS Peak SMS
Off-Peak
R2,70 for the first minute thereafter R0, 80 R0,35
R1,55/min
2.1.1 Suppose Jon makes a call for 35 minutes at 19:25 on Option A, how will he
calculate the cost of the call? Show all calculations. (3)
2.1.2 If Jon has to make a call for 15 minutes at 23:00 on Option B how much will it
cost him? Show all calculations. (3)
2.1.3 Will it be cheaper for Jon to talk for 5 minutes at 10:00 on a weekday on Option
A or Option B? Show all your calculations. (4)
2.2 In your classroom, there are 8 white chairs. There are 2 times as many yellow
chairs as white chairs, and the blue chairs are 3 fewer than yellow chairs. By
means of a calculation determine the total number of chairs in your class. (6)
2.3 A Grade 4 learner committed the following error when dividing 642 by 6:
3
