OPM1501 Assignment 3 Memo | Due 7 July 2025

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OPM1501 Assignment 3 Memo | Due 7 July 2025. Step by Step Calculations Provided. Question 1 1.1. Copy and complete the table below by describing how you decided whether the set of number sets in the preceding column is a pattern or not: Number set Pattern or not, a pattern Description 1; 3; 5; 7; 9; … a) (2) b) (2) 2; 3; 4; 4; 6; 5; 8 … c) (2) d) (2) 9; 18; 729; 6569; … e) (2) f) (2) 7; 8; 10; 12; 14; … g) (2) h) (2) 14; 28; 34; 41; 48; … i) (2) j) (2) 1.2. Complete the flow diagram below. Write only the letter and along with the corresponding value. i.e. (f) – 34 1.3. Complete the flow diagram below. Write only the letter and along with the corresponding value. i.e. (d) – 11 33] Question 2 On the cartesian plane below is ΔPQR, with the points P(4 ; 3), Q(0; 1) and R(-1; 3). Use the given information to answer questions 2.1 – 2.5 2.1. Give the new points for P/, Q/ and R/ if ΔPQR is reflected on the x-axis. (6) 2.2. Give the new points for P/, Q/ and R/ if ΔPQR is translated two units up and three units to the right. (6) 2.3. Give the new points for P/, Q/ and R/ if ΔPQR is enlarged by a factor of two. (6) [18] Question 3 Given the following points and their images, give the rule for each transformation: 3.1. N(-10 ; 0) to N/(0 ; -10) (2) 3.2. D(5 ; -8) to D/(3 ; 3) (2) 3.3. S(-4 ; 5) to S/(0 ; 0) (2) 3.4. M(-2 ; 10) to M/(10 ; -2) (2) [08] Question 4 4.1. A rectangular garden is 12 metres long and 9 meters wide. If the garden is surrounded by a fence that is 1,8 meters high, what is the total length of the fence required in centimetres? (5) 4.2. A recipe uses 250 ml of milk and 150 g of flour. If you want to make four batches of the recipe, how much milk in litres and flour in kilograms will you need? (4) 4.3. What is the difference between volume and capacity? (2) 4.4. Calculate the volume of the box below with a length of 14cm, a breadth of 8cm, and a height of 4 cm. (2) 4.5. Classify the following shapes as polygons or non-polygons. Give a reason for each classification. (16) Question 5 Explain and draw an example of each of the following concepts: [29] Explanation Drawing a)Line segment (4) b)Parallel lines (4) c)Perpendicular lines (4) GRAND TOTAL – 100 MARKS © Unisa 2025