MIP1502
EXAM PACK
Recent exam questions and answers
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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
October/November 2025
MIP1502
Mathematics for Intermediate Phase Teachers II
CONFIDENTIAL
100 marks
Duration: 3 hours and 30 minutes
Examiners:
First examiner: Mr GT Mphuthi
Second examiner: Prof TP Makgakga
EXAMINATION INSTRUCTIONS:
1. This examination question paper consists of SIX pages, including Annexure A.
2. Read the questions carefully.
3. This question paper consists of THREE questions. Answer ALL the questions.
4. Number your answers exactly as the questions are numbered.
5. Start each question on a new page.
6. You may use a calculator.
7. Round off your answers to one decimal digit where necessary.
8. You must show ALL the working details.
9. It is your interest to write legibly and present your work neatly.
10. Please note that the diagrams are NOT necessarily drawn to scale.
11. Please note that the exam is open book. You are allowed to access your prescribed works and
the study material. You are, however, not allowed to copy verbatim from your study material.
You should provide answers in your own words. In the case of any cheating or plagiarism, no
mark will be allocated.
12. Scan or enter the QR code (page 2) before you start the exam.
13. Remember to CHECK the Honesty Declaration Box when you upload the answer script.
14. See Appendix A on page 6 for information on how to submit your answer file.
[TURN OVER]
,2 MIP1502
OCT/NOV 2025
[TURN OVER]
, 3 MIP1502
OCT/NOV 2025
Question 1
Multiple-Choice Question with Motivation
Instructions to Candidates:
1. Read each question carefully before selecting your answer.
2. Each question has four options labelled A, B, C, and D.
3. Choose the ONE option that you believe is most correct.
4. After selecting your answer, you are required to write a brief motivation (2–3 sentences)
explaining why you chose that option.
5. Your motivation should demonstrate your understanding of the concept and provide reasoning
or evidence to support your choice.
6. Marks will be awarded for both the correct choice and the quality of your motivation.
Example Format:
Question:
Which of the following is a prime number?
A. 4 B. 6 C. 7 D. 9
Your Answer: C. 7
Motivation: I chose option C because 7 has only two factors: 1 and itself. Unlike 4, 6, and 9, which are
divisible by other numbers, 7 cannot be divided evenly by any number other than 1 and 7.
1.1 A numeric sequence for the number of seats around long tables is 5, 9, 13, 17, ... If the rule
for the number of seats (𝑇𝑛 ) is 𝑇𝑛 = 4𝑛 + 1, which option/answer correctly identifies the
number of seats at the 20th table (𝑇20 )?
A. 80 B. 81 C. 85 D. 37 (2)
1.2 A function machine in a Grade 5 classroom is represented by the one-line flow diagram:
Input (𝑥) ⟶ Add 5 ⟶ Multiply by 3 ⟶ Output (𝑦). If the input number is 10, which number
is the correct output?
A. 25 B. 28 C. 30 D. 45 (2)
1.3 Choose the algebraic expression that correctly models the statement: "Busi earns 𝑅5 more
than double the amount her sister, Zola (𝑅𝑥), earns."
A. 5𝑥 + 2 B. (2 + 5)𝑥 C. 2𝑥 + 5 D. 2(𝑥 + 5) (2)
1.4 A Grade 4 class is asked to complete the following open number sentence:
25 + 7 = + 10. Which value, when placed in the box, makes the number sentence
true?
A. 32 B. 27 C. 22 D. 42 (2)
1.5 A BEd student is asked to simplify the algebraic expression 5(𝑥 + 3) + 2𝑥 as preparation
for teaching Grade 6 algebraic thinking. Which option represents the correct simplification?
A. 7𝑥 + 3 B. 7𝑥 + 15 C. 7𝑥 + 17 D. 5𝑥 + 15 + 2𝑥 (2)
1.6 A Grade 6 learner models the cost (𝐶) of renting a scooter. The rental company charges a
fixed fee of R15 plus R6 per kilometre (𝑘) travelled. Calculate the total cost of a 10 km
journey.
A. R21 B. R31 C. R60 D. R75 (2)
1.7 Teacher Sipho needs 3 pencils for each of his 35 Grade 4 learners. He currently has 50
pencils. Which calculation shows the number of additional pencils he must buy?
A. 55 B. 88 C. 105 D. 15 (2)
[TURN OVER]
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
October/November 2025
MIP1502
Mathematics for Intermediate Phase Teachers II
CONFIDENTIAL
100 marks
Duration: 3 hours and 30 minutes
Examiners:
First examiner: Mr GT Mphuthi
Second examiner: Prof TP Makgakga
EXAMINATION INSTRUCTIONS:
1. This examination question paper consists of SIX pages, including Annexure A.
2. Read the questions carefully.
3. This question paper consists of THREE questions. Answer ALL the questions.
4. Number your answers exactly as the questions are numbered.
5. Start each question on a new page.
6. You may use a calculator.
7. Round off your answers to one decimal digit where necessary.
8. You must show ALL the working details.
9. It is your interest to write legibly and present your work neatly.
10. Please note that the diagrams are NOT necessarily drawn to scale.
11. Please note that the exam is open book. You are allowed to access your prescribed works and
the study material. You are, however, not allowed to copy verbatim from your study material.
You should provide answers in your own words. In the case of any cheating or plagiarism, no
mark will be allocated.
12. Scan or enter the QR code (page 2) before you start the exam.
13. Remember to CHECK the Honesty Declaration Box when you upload the answer script.
14. See Appendix A on page 6 for information on how to submit your answer file.
[TURN OVER]
,2 MIP1502
OCT/NOV 2025
[TURN OVER]
, 3 MIP1502
OCT/NOV 2025
Question 1
Multiple-Choice Question with Motivation
Instructions to Candidates:
1. Read each question carefully before selecting your answer.
2. Each question has four options labelled A, B, C, and D.
3. Choose the ONE option that you believe is most correct.
4. After selecting your answer, you are required to write a brief motivation (2–3 sentences)
explaining why you chose that option.
5. Your motivation should demonstrate your understanding of the concept and provide reasoning
or evidence to support your choice.
6. Marks will be awarded for both the correct choice and the quality of your motivation.
Example Format:
Question:
Which of the following is a prime number?
A. 4 B. 6 C. 7 D. 9
Your Answer: C. 7
Motivation: I chose option C because 7 has only two factors: 1 and itself. Unlike 4, 6, and 9, which are
divisible by other numbers, 7 cannot be divided evenly by any number other than 1 and 7.
1.1 A numeric sequence for the number of seats around long tables is 5, 9, 13, 17, ... If the rule
for the number of seats (𝑇𝑛 ) is 𝑇𝑛 = 4𝑛 + 1, which option/answer correctly identifies the
number of seats at the 20th table (𝑇20 )?
A. 80 B. 81 C. 85 D. 37 (2)
1.2 A function machine in a Grade 5 classroom is represented by the one-line flow diagram:
Input (𝑥) ⟶ Add 5 ⟶ Multiply by 3 ⟶ Output (𝑦). If the input number is 10, which number
is the correct output?
A. 25 B. 28 C. 30 D. 45 (2)
1.3 Choose the algebraic expression that correctly models the statement: "Busi earns 𝑅5 more
than double the amount her sister, Zola (𝑅𝑥), earns."
A. 5𝑥 + 2 B. (2 + 5)𝑥 C. 2𝑥 + 5 D. 2(𝑥 + 5) (2)
1.4 A Grade 4 class is asked to complete the following open number sentence:
25 + 7 = + 10. Which value, when placed in the box, makes the number sentence
true?
A. 32 B. 27 C. 22 D. 42 (2)
1.5 A BEd student is asked to simplify the algebraic expression 5(𝑥 + 3) + 2𝑥 as preparation
for teaching Grade 6 algebraic thinking. Which option represents the correct simplification?
A. 7𝑥 + 3 B. 7𝑥 + 15 C. 7𝑥 + 17 D. 5𝑥 + 15 + 2𝑥 (2)
1.6 A Grade 6 learner models the cost (𝐶) of renting a scooter. The rental company charges a
fixed fee of R15 plus R6 per kilometre (𝑘) travelled. Calculate the total cost of a 10 km
journey.
A. R21 B. R31 C. R60 D. R75 (2)
1.7 Teacher Sipho needs 3 pencils for each of his 35 Grade 4 learners. He currently has 50
pencils. Which calculation shows the number of additional pencils he must buy?
A. 55 B. 88 C. 105 D. 15 (2)
[TURN OVER]
