OPM1501 Assignment 4 (100% ANSWERS) 2025 - DUE 7 August 2025

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 learners are recorded below: Sinna 100, Jabu 90, Lebo 63, Malebo 32, David 3, Kwanza 59, Lelo 12, Lusanda 61, Masana 87, Masesi 26, Mojalefa 91, Gauta 58, Ndzalama 37, Sannah 90, Ntombi 28, Lesedi 37, Lulama 97, Lereko 88, Simon 55, Lerumo 32 Calculate: a) Median b) Mean (show all work) c) Who got the second lowest mark? d) Mode e) Range f) Lowest mark g) Highest mark 4.2 MCQs: Geometry & Measurement (6 x 2 = 12 marks) What shape’s area is calculated using