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# NCV 2 Mathematical Literacy Hands-On Training Case Studies Module 3

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Solutions to Case Studies from Module 3 NCV 2 Mathematical Literacy Hands-On Training published by Future Managers (www.futuremanagers.net)

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### NCV 2 Mathematical Literacy Hands-On Training Case Studies Module 3

1. 1. Mathematical Literacy 2 Module 3 Answers to Case Studies Mathematical Literacy Future Managers 1
2. 2. Case Study: Sun Couriers • Measure and note the length, width, and height of the box. • What is the surface size of the biggest side of the box? • And the smallest size of the box? • Calculate and note the surface area of the net of the box in cm2 • Name the geometrical shape of the different sides of the box • Calculate the perimeter of the base of the box Mathematical Literacy Future Managers 2
3. 3. Case Study: Sun Couriers • Calculate the volume of the box in cm3 • If UTI charges R12/kg to courier your box to another town, how much will they charge you if your box weighs 6kg • Will they charge you for the actual weight or the geometric weight? • Why is the answer different between the different groups in the class? Mathematical Literacy Future Managers 3
4. 4. Case Study: Sun Couriers 11. Instead of sending a box, you want to send a 20 litre can of chemicals with the following dimensions: Radius - cm Height - cm How much will the couriers charge using the same rate as above? Will there be any wasted space? Mathematical Literacy Future Managers 4
5. 5. 1. If the decide to charge you for this wasted space, how will they calculate it and what would the price be? Mathematical Literacy Future Managers 5
6. 6. Case Study: Etosha Etosha National Park is one of Southern Africa’s most important game reserves. Located in northern Namibia, Etosha Game Park was declared a national park in 1907 and covers an area of 22 270 square km. It is home to 114 mammal species and, surprisingly one specifies of fish. It is a major tourist attraction and tourists in Etosha can stay in three camps – Namutoni, Halali and Okuanuejo Mathematical Literacy Future Managers 6
7. 7. Visitors should note that the park is only open from sunrise to sunset. Outside of these hours, visitors either have to be in one of the camps, or completely outside the park – or sleep in their cars, surrounded by sharp-toothed prowlers and the sounds of the bush at night! Visiting Etosha will require some careful planning since it is quite a distance from any of the major cities of South Africa. Mathematical Literacy Future Managers 7
8. 8. Mathematical Literacy Future Managers 8
9. 9. Table The table provides the distances between some of the major towns in Namibia, but also between the rest camps. Mathematical Literacy Future Managers 9
10. 10. Mathematical Literacy Future Managers 10
11. 11. There are two ways to get to the Etosha from Johannesburg. You can drive all the way, or you can fly to Windhoek and drive from there. On enquiring about flying times to Namibia, South African Airways sends the following information: Mathematical Literacy Future Managers 11
12. 12. ISSUING AIRLINE: SOUTH AFRICAN AIRWAYS TICKET NUMBER: ETKT 083 2105515641 BOOKING REF: ZPZ9UN, AIRLINE SA/ZPZ9UN FROM / TO CAPE TOWN INTER 21APR 1035 WINDHOEK INTER ARRIVAL TIME: 1135 WINDHOEK INT 06MAY 1440 WINDHOEK INTER ARRIVAL TIME: 1740 Mathematical Literacy Future Managers 12
13. 13. 1. What is the distance between: • Johannesburg and Windhoek 1434 km • Namutoni and Okaukuejo 123 km • Cape Town and Halali 1998 km Mathematical Literacy Future Managers 13
14. 14. 1. If your average speed is 100km/h, how long will it take you to drive from: • Johannesburg to Windhoek 14 hr 20 • Namutoni and Okaukuejo 1 hr 14 • Windhoek and Namutoni 5 hr 20 Mathematical Literacy Future Managers 14
15. 15. 1. What is the distance across the park? 19 mm 4. Using the scale of 1:20 000 000, what is the real distance between East and West? 380km Mathematical Literacy Future Managers 15
16. 16. 6.A flight from Cape Town to Windhoek takes two hours. A friend in Cape Town decides to fly instead of driving. SAA’s schedule of flights indicates that the aircraft leaves Cape Town at 10:35 and arrives in Windhoek at 11:35, exactly and hour later. Discuss the discrepancy. Windhoek lies one time zone to the West of South Africa. Therefore, when travelling from Cape Town to Windhoek, you gain one hour, hence the discrepancy. Mathematical Literacy Future Managers 16
17. 17. Case Study: Microwave The owner of a house would like to build a holding cupboard for his new microwave oven. He found a drawing of the cupboard that he has in mind in the instructor’s manual of the microwave oven and decided to build a similar cupboard. He establishes that the scale used on this drawing is 1:25 Mathematical Literacy Future Managers 17
18. 18. The local hardware store can cut the “super wood” board according to his specifications, but what they need is called a “cutting list”. This is a list of all the different sizes and the number of pieces of melamine required to build the cupboard. If there is more than one piece of a similar size, it is indicated. For example, if two similar pieces of one metre long by 200mm wide board are needed, then it is written as follows: • 2 – 1000mm x 200mm Mathematical Literacy Future Managers 18
19. 19. Mathematical Literacy Future Managers 19
20. 20. 1. Compile a cutting list for the owner by using the diagram below. The front of the cupboard is open. No length breadth Sides 2 550 mm 450 mm Top / bottom 2 560 mm 550 mm Shelves 2 560 mm 550 mm Rear Doors Mathematical Literacy Future Managers 20
21. 21. 1. Estimate the number of wooden screws that the owner will need to assemble this cupboard. A rule of thumb is to space the screws 200mm apart. ????? Mathematical Literacy Future Managers 21
22. 22. 3.From the small sketch, you will notice that the “back” of the cupboard needs to be open, at least in the space where the microwave oven fits. What would be the reason for this? The back of the microwave requires ventilation, to stop the microwave from overheating. Mathematical Literacy Future Managers 22
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