OPM1501 Assignment 3 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED

OPM1501 Assignment 3 (DETAILED ANSWERS) 2024 - DISTINCTION GUARANTEED Answers, guidelines, workings and references ................... Question 1 1.1. Complete the following function machines so that the inputs give the correct outputs: a) 32 224 (3) b) 1080 − 960 (3) c) 525 25 (3) d) 510 270 (3) (12) 1.2. If you were asked to complete the following number line by filling in the missing numbers, explain why it would not be possible to do so: 19 31 42 (4) 1.3. Provide two ways you can use to teach the students how to generate the rule for each of the following: a) 32 224 (3)  ….. − …..  …. .. ….  ….. b) 1080 − 960 (3) c) 525 25 (3) d) 510 270 (3) (12) 1.4. Fill out the table below to show how many matches you would need for each diagram number: (5) a) Write the rule for this pattern. (2) b) What formula could you use for this pattern? (2) c) How many matchsticks would diagram number 37 have? (3) (12) [40] Question 2 2.1. Copy and complete the table below by describing how you decided whether the set of numbers in the preceding tables is a pattern or not: Number set Pattern or not a pattern Description 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; ….. [14] Question 3 3.1. Complete these number lines by filling in the missing numbers represented by the boxes: Diagram Number 1 2 3 4 5 6 10 25 Matchsticks 18 36 90 − …..  …. .. …. a) 8 19 41 52 b) (7) 3.2. Graph the image of the figure using the transformation given: a) rotation 90° clockwise about the origin (2) b) rotation 180° about the origin (2) c) translation: 1 unit left and 2 units up (2) d) translation: 3 units down (2) e) reflection across x = −3 (2) (10) 3.3. Write a rule to describe each of the following transformations: a) (2) b) (2) c) (2) d) (2) e) (2) f) (2) g) (2) (14) [24] Question 4 4.1. The marks of 20 Grade 8 mathematics learners in a class are recorded as follows: Learner Mark 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 4.1.1. Use the data above to determine the following and show all your workings. a) Median (2) b) Mean (4) c) Who got the second lowest mark? (1) d) Mode (2) e) Range (2) f) Lowest mark (2) g) Highest mark (2) [15]