TMN3704 Oct/Nov Exam | Complete Practice Questions,
Answers & Detailed Explanations (2026/2027)
Question 1
According to the Curriculum and Assessment Policy Statement (CAPS),
how many major content areas are prescribed for Mathematics in the
Intermediate Phase (Grades 4–6)?
• A. Three content areas
• B. Four content areas
• C. Five content areas
• D. Six content areas
• Correct Answer: C
• Detailed Rationale: The Intermediate Phase CAPS document
prescribes five core content areas for Mathematics: Numbers,
Operations and Relationships; Patterns, Functions and Algebra;
Space and Shape (Geometry); Measurement; and Data Handling.
Question 2
In the CAPS document for Intermediate Phase Mathematics, what
percentage weighting is typically assigned to Routine Procedures in
formal assessments?
• A. 15%
• B. 25%
• C. 35%
, • D. 45%
• Correct Answer: C
• Detailed Rationale: CAPS framework allocates cognitive levels as
follows: Knowledge (25%), Routine Procedures (35%), Complex
Procedures (20%), and Problem Solving (20%). Routine procedures
emphasize the execution of standard algorithms and multi-step
calculations.
Question 3
Which of the following best describes the van Hiele level 0
(Visualization) of geometric thinking?
• A. Learners analyze properties of figures and deduce relationships
logically.
• B. Learners recognize shapes by their holistic appearance or visual
prototype rather than by their explicit properties.
• C. Learners understand formal deduction and the role of axioms
and proofs.
• D. Learners analyze geometric concepts informally through
transformation and movement.
• Correct Answer: B
• Detailed Rationale: At Level 0 (Visualization/Recognition), learners
view geometric shapes as whole entities. They identify a rectangle
because it "looks like a door," rather than recognizing its defining
properties (e.g., opposite sides equal, four right angles).
Question 4
,When teaching whole number place value in Grade 4, which
manipulative is most effective for bridging the transition from concrete
grouping to abstract base-ten notation?
• A. Cuisenaire rods
• B. Base-ten blocks (Dienes blocks)
• C. Geoboards
• D. Fraction circles
• Correct Answer: B
• Detailed Rationale: Base-ten blocks (units, rods/tens,
flats/hundreds, and cubes/thousands) provide proportional
physical representations of place value, making the hierarchical
relationship between powers of ten explicit to learners.
Question 5
Which teaching strategy is recommended for addressing common
learner misconceptions regarding decimal fractions, such as believing
that 0.45 is greater than 0.8 because 45 is greater than 8?
• A. Memorization of decimal comparison rules
• B. Rote drilling of decimal multiplication tables
• C. Using grid paper or base-ten blocks to model tenths and
hundredths proportionally
• D. Instructing learners to always add trailing zeros blindly
• Correct Answer: C
, • Detailed Rationale: Visual models like 10x10 grids allow learners
to see that 0.8 (or 0.80) covers 80 squares while 0.45 covers 45
squares, directly correcting whole-number reasoning errors
applied to decimals.
Question 6
What is the primary purpose of incorporating mental mathematics
(mental calculations) at the beginning of an Intermediate Phase
mathematics lesson?
• A. To keep learners quiet while the teacher prepares the
chalkboard
• B. To develop computational fluency, rapid recall, and number
sense
• C. To replace formal written homework assignments entirely
• D. To test learners under strict examination conditions
• Correct Answer: B
• Detailed Rationale: Mental mathematics stimulates flexible
thinking, strengthens number relationships, and builds
automaticity with calculation strategies before tackling complex
procedural tasks.
Question 7
In the context of problem-solving in mathematics education, what is
Polya's first step in problem-solving?
• A. Carry out the plan
• B. Look back and reflect
Answers & Detailed Explanations (2026/2027)
Question 1
According to the Curriculum and Assessment Policy Statement (CAPS),
how many major content areas are prescribed for Mathematics in the
Intermediate Phase (Grades 4–6)?
• A. Three content areas
• B. Four content areas
• C. Five content areas
• D. Six content areas
• Correct Answer: C
• Detailed Rationale: The Intermediate Phase CAPS document
prescribes five core content areas for Mathematics: Numbers,
Operations and Relationships; Patterns, Functions and Algebra;
Space and Shape (Geometry); Measurement; and Data Handling.
Question 2
In the CAPS document for Intermediate Phase Mathematics, what
percentage weighting is typically assigned to Routine Procedures in
formal assessments?
• A. 15%
• B. 25%
• C. 35%
, • D. 45%
• Correct Answer: C
• Detailed Rationale: CAPS framework allocates cognitive levels as
follows: Knowledge (25%), Routine Procedures (35%), Complex
Procedures (20%), and Problem Solving (20%). Routine procedures
emphasize the execution of standard algorithms and multi-step
calculations.
Question 3
Which of the following best describes the van Hiele level 0
(Visualization) of geometric thinking?
• A. Learners analyze properties of figures and deduce relationships
logically.
• B. Learners recognize shapes by their holistic appearance or visual
prototype rather than by their explicit properties.
• C. Learners understand formal deduction and the role of axioms
and proofs.
• D. Learners analyze geometric concepts informally through
transformation and movement.
• Correct Answer: B
• Detailed Rationale: At Level 0 (Visualization/Recognition), learners
view geometric shapes as whole entities. They identify a rectangle
because it "looks like a door," rather than recognizing its defining
properties (e.g., opposite sides equal, four right angles).
Question 4
,When teaching whole number place value in Grade 4, which
manipulative is most effective for bridging the transition from concrete
grouping to abstract base-ten notation?
• A. Cuisenaire rods
• B. Base-ten blocks (Dienes blocks)
• C. Geoboards
• D. Fraction circles
• Correct Answer: B
• Detailed Rationale: Base-ten blocks (units, rods/tens,
flats/hundreds, and cubes/thousands) provide proportional
physical representations of place value, making the hierarchical
relationship between powers of ten explicit to learners.
Question 5
Which teaching strategy is recommended for addressing common
learner misconceptions regarding decimal fractions, such as believing
that 0.45 is greater than 0.8 because 45 is greater than 8?
• A. Memorization of decimal comparison rules
• B. Rote drilling of decimal multiplication tables
• C. Using grid paper or base-ten blocks to model tenths and
hundredths proportionally
• D. Instructing learners to always add trailing zeros blindly
• Correct Answer: C
, • Detailed Rationale: Visual models like 10x10 grids allow learners
to see that 0.8 (or 0.80) covers 80 squares while 0.45 covers 45
squares, directly correcting whole-number reasoning errors
applied to decimals.
Question 6
What is the primary purpose of incorporating mental mathematics
(mental calculations) at the beginning of an Intermediate Phase
mathematics lesson?
• A. To keep learners quiet while the teacher prepares the
chalkboard
• B. To develop computational fluency, rapid recall, and number
sense
• C. To replace formal written homework assignments entirely
• D. To test learners under strict examination conditions
• Correct Answer: B
• Detailed Rationale: Mental mathematics stimulates flexible
thinking, strengthens number relationships, and builds
automaticity with calculation strategies before tackling complex
procedural tasks.
Question 7
In the context of problem-solving in mathematics education, what is
Polya's first step in problem-solving?
• A. Carry out the plan
• B. Look back and reflect
