lOMoAR cPSD| 16857960
MIP1502
EXAM PACK
, lOMoAR cPSD| 16857960
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.
,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.
, lOMoAR cPSD| 16857960
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)
1.8 A Grade 4 learner is solving the number sentence 12 + 5 = + 8 but writes
12 + 5 = 17 + 8 = 25. What specific misconception related to algebraic thinking is the
learner demonstrating? (2)
A. Misapplication of the commutative property.
B. Failure to isolate the variable.
MIP1502
EXAM PACK
, lOMoAR cPSD| 16857960
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.
,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.
, lOMoAR cPSD| 16857960
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)
1.8 A Grade 4 learner is solving the number sentence 12 + 5 = + 8 but writes
12 + 5 = 17 + 8 = 25. What specific misconception related to algebraic thinking is the
learner demonstrating? (2)
A. Misapplication of the commutative property.
B. Failure to isolate the variable.
