OPM1501 Assignment
4 (100% ANSWERS)
2025 - DUE 7 August
2025
NO PLAGIARISM
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[Type the company name]
, Exam (elaborations)
OPM1501 Assignment 4 (100% ANSWERS)
2025 - DUE 7 August 2025
Course
Orientation to Intermediate Phase Mathematics (OPM1501)
Institution
University Of South Africa (Unisa)
Book
Mathematics, Grade 4
OPM1501 Assignment 4 (100% ANSWERS) 2025 - DUE 7 August 2025......
4.3 Mass and Speed Problems (14 marks) The average mass of 50 pumpkins
is 2.1 kg. Three are added and the new average is 2.2 kg. What is the
combined mass of the added pumpkins? If one bus travels at 60 km/h and
another at 72 km/h, how many hours until they are 60 km apart? Two hikers
travel 2 km/h and 2.6 km/h. After how long have they covered 16 km and
20.8 km? 4.4 Curriculum Knowledge (8 marks) What are Grade 4 learners
expected to do when learning mass concepts? At what grade do learners not
use stopwatches? In which grade are learners taught to work with centuries,
decades, or years? What are the three units of measurement for volume in
Grade 6? 4.5 Height Data of Learners (16 marks) Use a given dataset of
heights to answer: Maximum height Total number of learners Modal height
Median (show work) Mean (2 decimal places, show work) Identify extreme
values Recalculate mean after removing each extreme value. Describe what
changes. Did the mode or median change after removing extreme values?
Explain. 2.1 Pattern Analysis Table Study the following number sets. Indicate
whether each set is a pattern or not, and provide a clear justification.
Number Set Pattern? (Yes/No) Explanation 4, 8, 13, 16, 20, … 4, 8, 3, 9, 2,
10, 1, … 4, 8, 16, 24, … 10, 20, 40, 80, … 5, 10, 13, 16, 19, … 15, 13, 11, 9,
… 5, 10, 15, 25, … Revised Question 3: Number Lines and Transformations
(24 Marks) 3.1 Complete Number Sequences (7 marks) Fill in the blanks for
each of the following number lines: a) 8, ___, 19, ___, 41, 52 b) 0, ___, 108,
___, 324, 432 3.2 Graph Transformations (10 marks) Use geometric
transformations to move the given shape: a) Rotate 90° clockwise about the
origin b) Rotate 180° about the origin c) Translate 1 unit left and 2 units up
d) Translate 3 units down e) Reflect across the line x = −3 3.3
Transformation Rule Writing (7 x 2 = 14 marks) Write down the
mathematical rule (in coordinates or words) for each transformation
performed in Question 3.2. Revised Question 4: Statistics and Measurement
(Multiple Items) 4.1 Statistics from Class Marks (15 marks) The marks of 20
4 (100% ANSWERS)
2025 - DUE 7 August
2025
NO PLAGIARISM
[Pick the date]
[Type the company name]
, Exam (elaborations)
OPM1501 Assignment 4 (100% ANSWERS)
2025 - DUE 7 August 2025
Course
Orientation to Intermediate Phase Mathematics (OPM1501)
Institution
University Of South Africa (Unisa)
Book
Mathematics, Grade 4
OPM1501 Assignment 4 (100% ANSWERS) 2025 - DUE 7 August 2025......
4.3 Mass and Speed Problems (14 marks) The average mass of 50 pumpkins
is 2.1 kg. Three are added and the new average is 2.2 kg. What is the
combined mass of the added pumpkins? If one bus travels at 60 km/h and
another at 72 km/h, how many hours until they are 60 km apart? Two hikers
travel 2 km/h and 2.6 km/h. After how long have they covered 16 km and
20.8 km? 4.4 Curriculum Knowledge (8 marks) What are Grade 4 learners
expected to do when learning mass concepts? At what grade do learners not
use stopwatches? In which grade are learners taught to work with centuries,
decades, or years? What are the three units of measurement for volume in
Grade 6? 4.5 Height Data of Learners (16 marks) Use a given dataset of
heights to answer: Maximum height Total number of learners Modal height
Median (show work) Mean (2 decimal places, show work) Identify extreme
values Recalculate mean after removing each extreme value. Describe what
changes. Did the mode or median change after removing extreme values?
Explain. 2.1 Pattern Analysis Table Study the following number sets. Indicate
whether each set is a pattern or not, and provide a clear justification.
Number Set Pattern? (Yes/No) Explanation 4, 8, 13, 16, 20, … 4, 8, 3, 9, 2,
10, 1, … 4, 8, 16, 24, … 10, 20, 40, 80, … 5, 10, 13, 16, 19, … 15, 13, 11, 9,
… 5, 10, 15, 25, … Revised Question 3: Number Lines and Transformations
(24 Marks) 3.1 Complete Number Sequences (7 marks) Fill in the blanks for
each of the following number lines: a) 8, ___, 19, ___, 41, 52 b) 0, ___, 108,
___, 324, 432 3.2 Graph Transformations (10 marks) Use geometric
transformations to move the given shape: a) Rotate 90° clockwise about the
origin b) Rotate 180° about the origin c) Translate 1 unit left and 2 units up
d) Translate 3 units down e) Reflect across the line x = −3 3.3
Transformation Rule Writing (7 x 2 = 14 marks) Write down the
mathematical rule (in coordinates or words) for each transformation
performed in Question 3.2. Revised Question 4: Statistics and Measurement
(Multiple Items) 4.1 Statistics from Class Marks (15 marks) The marks of 20
