MIP1501
EXAM PACK
Recent exam questions and answers
Summarised study notes
Exam tips and guidelines
+27 81 278 3372
DISCLAIMER & TERMS OF USE
Educational Aid: These study notes are intended to be used as educational resources and should not be seen as a
replacement for individual research, critical analysis, or professional consultation. Students are encouraged to perform
their own research and seek advice from their instructors or academic advisors for specific assignment guidelines.
Personal Responsibility: While every effort has been made to ensure the accuracy and reliability of the information in
these study notes, the seller does not guarantee the completeness or correctness of all content. The buyer is
responsible for verifying the accuracy of the information and exercising their own judgment when applying it to their
assignments.
Academic Integrity: It is essential for students to maintain academic integrity and follow their institution's policies
regarding plagiarism, citation, and referencing. These study notes should be used as learning tools and sources of
inspiration. Any direct reproduction of the content without proper citation and acknowledgment may be considered
academic misconduct.
Limited Liability: The seller shall not be liable for any direct or indirect damages, losses, or consequences arising from
the use of these notes. This includes, but is not limited to, poor academic performance, penalties, or any other negative
consequences resulting from the application or misuse of the information provided.
,UNIVERSITY EXAMINATIONS
Oct/Nov 2025
MIP1501
Mathematics for Intermediate Phase Teachers I
100 Marks
Duration: 3 Hours 30 Minutes
EXAMINERS
FIRST: DR PE RANKWETEKE
SECOND: DR KG PULE
This question paper consists of 5 pages.
This is a CLOSED BOOK examination. Do not copy and paste but paraphrase.
Instructions:
1. Scan or enter the QR code (7ed84e62) before you start the exam. (See page 2.)
2. Provide your student number on your exam answer script.
3. Answer ALL questions.
4. Round off your answers to TWO decimal places, unless stated otherwise.
5. Number your answers according to the numbering system used in the question
paper.
6. If you write, write neatly and legibly.
7. Provide in-text references when you cite scholarly work.
8. See Appendix A on page 5 for how to submit your answer file.
, MIP1501
Oct/Nov 2025
MIP1501
Date: 13 October 2025
INSTRUCTIONS ON THE DAY OF ASSESSMENT:
Ensure you are connected to the internet in order to log into The Invigilator YOUR EXAM QR CODE & EXAM ACCESS
mobile App and scan this QR code. CODE
If you encounter difficulty in scanning the QR code, you can alternatively
enter the Exam Access Code below the QR code to start the invigilation.
If you finish your assessment before the app timer has run out you need to
press the ‘Finish Assessment’ button and follow instructions before you exit
or minimise the app. Please note that the ‘Finish Assessment’ button will not
appear immediately, it will only appear after the prerequisite minimum time
to write your assessment has lapsed.
Scan the QR code at the start time of the assessment, unless otherwise
specified by your institution, note that you can only scan this QR code once.
The Invigilator App may request you to take photos of your examination script
after the assessment. If applicable this will be prompted and you are Exam Access Code: 7ed84e62
required to action this immediately. Please follow the instructions on the App
and take note that your academic institution may still require you to submit
your script on the relevant portal.
The QR code is only scannable for a limited time and it should therefore be scanned as soon as possible
after the assessment commencement time.
Keep the Invigilator App open on your smartphone for the full duration of the assessment. You are not allowed to minimise or
leave the app during your assessment.
You must adhere to the assessment time limit communicated to you by your institution. The timer displayed in the Invigilator
may vary depending on the start time of invigilation.
FURTHER GUIDANCE
If you only have one device you may access your assessment in the App by pressing the ‘Access Browser’ button in the top right
corner of your App.
Once the QR code is scanned, ensure your media volume is turned up and place your smartphone next to you.
The Invigilator App will notify you with a notification beep when you are required to action a photo request, which you
should then perform as soon as possible.
We recommend that you keep your smartphone on charge for the duration of the assessment.
Ensure you are connected to the internet when commencing invigilation. You also need to be connected to the internet at the end
of the assessment to upload the app data gathered during invigilation. It is advisable to upload app data as soon as possible
after the assessment. Institutions do apply a limited time to upload app data.
If your assessment has multiple online sections, tests or attempts, you should NOT finish the invigilation until your entire
assessment has been completed.
Should you encounter any technical difficulty, please WhatsApp The Invigilator Helpdesk on +27 (0)73 505 8273
Page 2 of 5
, MIP1501
Oct/Nov 2025
QUESTION 1 [20]
1.1. What is the concept “symbolic number sense” associated with? Briefly explain
what it entails. (4)
1.2. Discuss any two (2) comparing symbols in your own words. Explain how they
are used in an Intermediate Phase mathematics classroom. (6)
1.3. Construct a number sentence and find a solution to the situation described below:
Mogau and John paid for their groceries from their NSFAS accounts. Of his initial
R1 750, Mogau has R860 left in his account. Of his initial R1 670, John has R942
left in his account. How much has each spent and who has spent more?
(5)
1.4. A strategy is an overarching way of thinking about a problem, for example, a
learner does addition by breaking down numbers. A method, on the other hand,
is how a learner step by step applies a strategy. Add the two numbers below by
breaking down each as a strategy for a Grade-4 class: 674 + 297
(5)
QUESTION 2 [32]
2.1. Express 32069,459 in words, place value and in terms of the powers of 10. (3)
2.2. In your own words, differentiate between real and non-real numbers. Give two
examples and their solutions. (8)
2.3. Differentiate between rational and irrational numbers and give examples of each.
(5)
2.4. Discuss, in your own words, any four facts about the number zero that can be
helpful in an Intermediate Phase classroom. (8)
2.5. Define “absolute value” and briefly discuss three (3) reasons why an absolute
value is necessary. (8)
Page 3 of 5
EXAM PACK
Recent exam questions and answers
Summarised study notes
Exam tips and guidelines
+27 81 278 3372
DISCLAIMER & TERMS OF USE
Educational Aid: These study notes are intended to be used as educational resources and should not be seen as a
replacement for individual research, critical analysis, or professional consultation. Students are encouraged to perform
their own research and seek advice from their instructors or academic advisors for specific assignment guidelines.
Personal Responsibility: While every effort has been made to ensure the accuracy and reliability of the information in
these study notes, the seller does not guarantee the completeness or correctness of all content. The buyer is
responsible for verifying the accuracy of the information and exercising their own judgment when applying it to their
assignments.
Academic Integrity: It is essential for students to maintain academic integrity and follow their institution's policies
regarding plagiarism, citation, and referencing. These study notes should be used as learning tools and sources of
inspiration. Any direct reproduction of the content without proper citation and acknowledgment may be considered
academic misconduct.
Limited Liability: The seller shall not be liable for any direct or indirect damages, losses, or consequences arising from
the use of these notes. This includes, but is not limited to, poor academic performance, penalties, or any other negative
consequences resulting from the application or misuse of the information provided.
,UNIVERSITY EXAMINATIONS
Oct/Nov 2025
MIP1501
Mathematics for Intermediate Phase Teachers I
100 Marks
Duration: 3 Hours 30 Minutes
EXAMINERS
FIRST: DR PE RANKWETEKE
SECOND: DR KG PULE
This question paper consists of 5 pages.
This is a CLOSED BOOK examination. Do not copy and paste but paraphrase.
Instructions:
1. Scan or enter the QR code (7ed84e62) before you start the exam. (See page 2.)
2. Provide your student number on your exam answer script.
3. Answer ALL questions.
4. Round off your answers to TWO decimal places, unless stated otherwise.
5. Number your answers according to the numbering system used in the question
paper.
6. If you write, write neatly and legibly.
7. Provide in-text references when you cite scholarly work.
8. See Appendix A on page 5 for how to submit your answer file.
, MIP1501
Oct/Nov 2025
MIP1501
Date: 13 October 2025
INSTRUCTIONS ON THE DAY OF ASSESSMENT:
Ensure you are connected to the internet in order to log into The Invigilator YOUR EXAM QR CODE & EXAM ACCESS
mobile App and scan this QR code. CODE
If you encounter difficulty in scanning the QR code, you can alternatively
enter the Exam Access Code below the QR code to start the invigilation.
If you finish your assessment before the app timer has run out you need to
press the ‘Finish Assessment’ button and follow instructions before you exit
or minimise the app. Please note that the ‘Finish Assessment’ button will not
appear immediately, it will only appear after the prerequisite minimum time
to write your assessment has lapsed.
Scan the QR code at the start time of the assessment, unless otherwise
specified by your institution, note that you can only scan this QR code once.
The Invigilator App may request you to take photos of your examination script
after the assessment. If applicable this will be prompted and you are Exam Access Code: 7ed84e62
required to action this immediately. Please follow the instructions on the App
and take note that your academic institution may still require you to submit
your script on the relevant portal.
The QR code is only scannable for a limited time and it should therefore be scanned as soon as possible
after the assessment commencement time.
Keep the Invigilator App open on your smartphone for the full duration of the assessment. You are not allowed to minimise or
leave the app during your assessment.
You must adhere to the assessment time limit communicated to you by your institution. The timer displayed in the Invigilator
may vary depending on the start time of invigilation.
FURTHER GUIDANCE
If you only have one device you may access your assessment in the App by pressing the ‘Access Browser’ button in the top right
corner of your App.
Once the QR code is scanned, ensure your media volume is turned up and place your smartphone next to you.
The Invigilator App will notify you with a notification beep when you are required to action a photo request, which you
should then perform as soon as possible.
We recommend that you keep your smartphone on charge for the duration of the assessment.
Ensure you are connected to the internet when commencing invigilation. You also need to be connected to the internet at the end
of the assessment to upload the app data gathered during invigilation. It is advisable to upload app data as soon as possible
after the assessment. Institutions do apply a limited time to upload app data.
If your assessment has multiple online sections, tests or attempts, you should NOT finish the invigilation until your entire
assessment has been completed.
Should you encounter any technical difficulty, please WhatsApp The Invigilator Helpdesk on +27 (0)73 505 8273
Page 2 of 5
, MIP1501
Oct/Nov 2025
QUESTION 1 [20]
1.1. What is the concept “symbolic number sense” associated with? Briefly explain
what it entails. (4)
1.2. Discuss any two (2) comparing symbols in your own words. Explain how they
are used in an Intermediate Phase mathematics classroom. (6)
1.3. Construct a number sentence and find a solution to the situation described below:
Mogau and John paid for their groceries from their NSFAS accounts. Of his initial
R1 750, Mogau has R860 left in his account. Of his initial R1 670, John has R942
left in his account. How much has each spent and who has spent more?
(5)
1.4. A strategy is an overarching way of thinking about a problem, for example, a
learner does addition by breaking down numbers. A method, on the other hand,
is how a learner step by step applies a strategy. Add the two numbers below by
breaking down each as a strategy for a Grade-4 class: 674 + 297
(5)
QUESTION 2 [32]
2.1. Express 32069,459 in words, place value and in terms of the powers of 10. (3)
2.2. In your own words, differentiate between real and non-real numbers. Give two
examples and their solutions. (8)
2.3. Differentiate between rational and irrational numbers and give examples of each.
(5)
2.4. Discuss, in your own words, any four facts about the number zero that can be
helpful in an Intermediate Phase classroom. (8)
2.5. Define “absolute value” and briefly discuss three (3) reasons why an absolute
value is necessary. (8)
Page 3 of 5
