MIP1501
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1. Educational Aid: These study notes are designed to serve as educational aids and should not be considered as a
substitute for individual research, critical thinking, or professional guidance. Students are encouraged to
conduct their own extensive research and consult with their instructors or academic advisors for specific
assignment requirements.
2. Personal Responsibility: While every effort has been made to ensure the accuracy and reliability of the
information provided in these study notes, the seller cannot guarantee the completeness or correctness of all
the content. It is the responsibility of the buyer to verify the accuracy of the information and use their own
judgment when applying it to their assignments.
3. Academic Integrity: It is crucial for students to uphold academic integrity and adhere to their institution's
policies and guidelines regarding plagiarism, citation, and referencing. These study notes should be used as a
tool for learning and inspiration, but any direct reproduction of the content without proper acknowledgment and
citation may constitute academic misconduct.
4. Limited Liability: The seller of these study notes shall not be held liable for any direct or indirect damages,
losses, or consequences arising from the use of the notes. This includes, but is not limited to, poor grades,
academic penalties, or any other negative outcomes resulting from the application or misuse of the information
provide
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UNIVERSITY EXAMINATIONS
Oct/Nov 2024
MIP1501
Mathematics for Intermediate Phase Teachers I
100 Marks
Duration: 3 Hours, 30 Minutes
EXAMINERS
FIRST: MR PE RANKWETEKE
SECOND: MR AS ZONDO
This question paper consists of 5 pages.
Instructions:
1. Scan or enter the QR code (24c7e211) before you start the exam. (See page 2).
2. Please include your student number on your exam answer script.
3. Answer ALL questions
4. If necessary, round off your answers to TWO decimal places unless stated otherwise.
6. Number the answers correctly according to the numbering system used in the question paper.
7. If not typed, write neatly and legibly.
8. You are required to provide in-text citations and references when you include the
scholarly work of other authors.
9. See Appendix A on page 5 for information on how to submit your answer file.
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MIP1501
Oct/Nov 2024
Page 2 of 5
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MIP1501
Oct/Nov 2024
Question 1 (30)
1.1. Explain in simple terms to an Intermediate Phase learner using your own words the
difference among improper, mixed, and proper fractions. (6)
1.2. Solve and briefly explain each step to grade 5 mathematics learners the following
multiplication, addition, and division calculations involving fractions.
9 12
1.2.1. 4 ÷ (6)
3 6
12 3
1.2.2. 6 × 5 (6)
9 4
5 8
1.2.3. + (6)
17 4
1.3. Briefly explain in your own words how fractions are linked to decimals and
percentages. Use the fraction “two thirds” to show this relationship. Explain by giving
two examples of this relationship to your grade 6 learner. (6)
Question 2 (22)
2.1. Draw a diagram and use it to define and explain the three types of numbers: ordinal,
cardinal, and nominal. (8)
2.2. In the decimal number system, we can describe a number in different forms.
Describe 5 405, 362 in words, in place value and in terms of the power of 10. (6)
2.3. Design your own equation on distributive property and associative property. Explain
how you will assist grade 4 learners to give solutions to each property. (8)
Question 3 (22)
3.1. Thabang is a mathematics teacher in the intermediate phase who likes giving
incentives to his learners for good performance. On a particular day he has R250,
which must be divided among Nonhlanhla, Tshepo and Lindiwe in a ratio of 4:3:2,
respectively.
3.1.1. Calculate the amount that each of the three learners will receive. (6)
3.1.2. Prove that all the money will be used up after the three learners have received
their share. (2)
3.2. List and explain in detail any four (4) prerequisites of knowledge and skills that
Intermediate Phase learners need to be able to demonstrate before being
introduced to place value more formally. (8)
Page 3 of 5
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EXAM PACK
Recent exam questions and answers
Summarised study notes
Exam tips and guidelines
+27 81 278 3372
DISCLAIMER & TERMS OF USE
1. Educational Aid: These study notes are designed to serve as educational aids and should not be considered as a
substitute for individual research, critical thinking, or professional guidance. Students are encouraged to
conduct their own extensive research and consult with their instructors or academic advisors for specific
assignment requirements.
2. Personal Responsibility: While every effort has been made to ensure the accuracy and reliability of the
information provided in these study notes, the seller cannot guarantee the completeness or correctness of all
the content. It is the responsibility of the buyer to verify the accuracy of the information and use their own
judgment when applying it to their assignments.
3. Academic Integrity: It is crucial for students to uphold academic integrity and adhere to their institution's
policies and guidelines regarding plagiarism, citation, and referencing. These study notes should be used as a
tool for learning and inspiration, but any direct reproduction of the content without proper acknowledgment and
citation may constitute academic misconduct.
4. Limited Liability: The seller of these study notes shall not be held liable for any direct or indirect damages,
losses, or consequences arising from the use of the notes. This includes, but is not limited to, poor grades,
academic penalties, or any other negative outcomes resulting from the application or misuse of the information
provide
]
, lOMoARcPSD|22437965
UNIVERSITY EXAMINATIONS
Oct/Nov 2024
MIP1501
Mathematics for Intermediate Phase Teachers I
100 Marks
Duration: 3 Hours, 30 Minutes
EXAMINERS
FIRST: MR PE RANKWETEKE
SECOND: MR AS ZONDO
This question paper consists of 5 pages.
Instructions:
1. Scan or enter the QR code (24c7e211) before you start the exam. (See page 2).
2. Please include your student number on your exam answer script.
3. Answer ALL questions
4. If necessary, round off your answers to TWO decimal places unless stated otherwise.
6. Number the answers correctly according to the numbering system used in the question paper.
7. If not typed, write neatly and legibly.
8. You are required to provide in-text citations and references when you include the
scholarly work of other authors.
9. See Appendix A on page 5 for information on how to submit your answer file.
Downloaded by Corona Virus ()
, lOMoARcPSD|22437965
MIP1501
Oct/Nov 2024
Page 2 of 5
Downloaded by Corona Virus ()
, lOMoARcPSD|22437965
MIP1501
Oct/Nov 2024
Question 1 (30)
1.1. Explain in simple terms to an Intermediate Phase learner using your own words the
difference among improper, mixed, and proper fractions. (6)
1.2. Solve and briefly explain each step to grade 5 mathematics learners the following
multiplication, addition, and division calculations involving fractions.
9 12
1.2.1. 4 ÷ (6)
3 6
12 3
1.2.2. 6 × 5 (6)
9 4
5 8
1.2.3. + (6)
17 4
1.3. Briefly explain in your own words how fractions are linked to decimals and
percentages. Use the fraction “two thirds” to show this relationship. Explain by giving
two examples of this relationship to your grade 6 learner. (6)
Question 2 (22)
2.1. Draw a diagram and use it to define and explain the three types of numbers: ordinal,
cardinal, and nominal. (8)
2.2. In the decimal number system, we can describe a number in different forms.
Describe 5 405, 362 in words, in place value and in terms of the power of 10. (6)
2.3. Design your own equation on distributive property and associative property. Explain
how you will assist grade 4 learners to give solutions to each property. (8)
Question 3 (22)
3.1. Thabang is a mathematics teacher in the intermediate phase who likes giving
incentives to his learners for good performance. On a particular day he has R250,
which must be divided among Nonhlanhla, Tshepo and Lindiwe in a ratio of 4:3:2,
respectively.
3.1.1. Calculate the amount that each of the three learners will receive. (6)
3.1.2. Prove that all the money will be used up after the three learners have received
their share. (2)
3.2. List and explain in detail any four (4) prerequisites of knowledge and skills that
Intermediate Phase learners need to be able to demonstrate before being
introduced to place value more formally. (8)
Page 3 of 5
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