OPM1501 Assignment 3 2023

OPM1501 Assignment 3 2023 Answers, guidelines, workings and references ................................. ............................... Question 1 Find the missing number in the following number sequences: a) 3,6,9,…,15 b) 5,50,500,…,50 000 c) 7,...,21,28,...,42 d) ½,1,…,2,2½ e) 50,…,30,20,10 f) 1,4,9,... g) 21.2,21.5,21.8,...,22.4 h) 8,32,128,… ,… i) 96⅓,96⅔,97,97⅓,… j) 19.3,18.6,…,17.2,… [13] Question 2 2.1. Complete the following function machines so that the inputs give the correct outputs. a) 8 56 (2) b) 270 − 240 (2) c) 105 5 (2) d) 170 90 (3) (9)  ….. − …..  …. .. …. .. OPM1501 2023 2 2.2. 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) (9) [18] Question 3 3.1. Jason was in a weightlifting competition. On his first lift, he lifted 20kg. On his second lift, he lifted 15kg. On his third lift, he lifted 10kg. On his fourth lift, he lifted 5kg. a) Explain the rule for this sequence (2) b) What can you say about Jason’s lifting? (3) 3.2. Dan read a book for his focus group. On the first day he read up to page 11. On the second day he read up to page 22. On the third day he read up to page 33. a) Explain the rule for this sequence (2) b) What page will he be up to on the fourth day? (2) c) How many pages will he have read up to on the eleventh day? (2) [11] Diagram Number 1 2 3 4 5 6 10 25 Matchsticks 6 9 OPM1501 2023 3 Question 4 4.1. Complete these number lines by filling in the missing numbers represented by the boxes! a) 8 19 31 42 b) (7) 4.2. State whether each of the following statements are true or false after the given transformation has been performed a) rotation 180° clockwise about the origin gives H’(-3; 4) (2) b) rotation 180° about the origin gives D’(2; 2) (2) OPM1501 2023 4 c) rotation 90° counter-clockwise about the origin gives C’(2; -1) (2) d) rotation 180° about the origin gives the coordinates V’(3; 2), E’(-2; 1), G’(1;3) (2) e) rotation 90° clockwise about the origin gives K’(-2; -2), U’(3; -3), T’(0; -5) (2) (10) OPM1501 2023 5 4.3. Write a rule to describe each of the following transformations. a) (2) b) (2) c) (2) d) (2) OPM1501 2023 6 e) (2) (10) [27] Question 5 5.1. The marks of 20 Grade 8 mathematics learners in a class are recorded as follows: Learner Mark Mbali 32 Jason 58 Lebo 73 Donald 87 Donovan 58 Mulo 75 Nonthethelelo 32 Luyanda 61 Sifiso 62 Tlangi 61 Jacob 91 Ntombi 58 Mokgadi 37 Sannah 92 Mahlatse 21 Xikombiso 37 Thabisile 47 Lindi 88 Simon 55 Lereko 32 5.1.1. Use the data above to determine the following: a) Median (2) OPM1501 2023 7 b)Mean(4) c)Mode(1) d)Range(2) e)Lowest mark(2) f)Highest mark(2) g)Who got the second highest mark?(2) [15]