lOMoAR cPSD| 47715245
, lOMoAR cPSD| 47715245
UNIVERSITY EXAMINATIONS
Oct/Nov 2025
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.
, lOMoAR cPSD| 47715245
)
, lOMoAR cPSD| 47715245
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
1.2.1. 4 ÷ (6)
1.2.2. 6 × 5 (6)
1.2.3. 5 + 8 (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 1 (30 marks)
1.1 Explain in simple terms to an Intermediate Phase learner the
difference among improper, mixed, and proper fractions. (6 marks)
When we work with fractions, we need to know that there are three
main types: proper fractions, improper fractions, and mixed
fractions. Let’s look at them one by one in a simple way.
1. Proper Fractions
o A proper fraction is when the top number (numerator) is
smaller than the bottom number (denominator).
o This means the fraction is less than 1 whole.
, lOMoAR cPSD| 47715245
UNIVERSITY EXAMINATIONS
Oct/Nov 2025
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.
, lOMoAR cPSD| 47715245
)
, lOMoAR cPSD| 47715245
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
1.2.1. 4 ÷ (6)
1.2.2. 6 × 5 (6)
1.2.3. 5 + 8 (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 1 (30 marks)
1.1 Explain in simple terms to an Intermediate Phase learner the
difference among improper, mixed, and proper fractions. (6 marks)
When we work with fractions, we need to know that there are three
main types: proper fractions, improper fractions, and mixed
fractions. Let’s look at them one by one in a simple way.
1. Proper Fractions
o A proper fraction is when the top number (numerator) is
smaller than the bottom number (denominator).
o This means the fraction is less than 1 whole.
