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Solutions to Summative Assessment 3 from the accompanying textbook NCV 2 Mathematical Literacy Hands-On Training published by Future Managers Pty Ltd (www.futuremanagers.net)

### Transcript of NCV 2 Mathematical Literacy Hands-On Training Solution to Summative Assessment 3

• 1. Mathematical Literacy 2Module 3 Answers to Assessment Questions Mathematical LiteracyFuture Managers1

2. Self Assessment Pg 1041. Measure with your ruler and then calculate the perimeter of the following figures2. Calculate the area of the same figures 3.8cm1.5cm 1.2cm2.5cm0.7cm 6cmPerimeter = 2.5cm + 6cm + 2.5cm + 1.5cm + 1.2cm +0.7cm + 1.2cm +3.8cm = 19.4 cmMathematical LiteracyFuture Managers 2 3. 3.8cm 1.5cm1.2cm 2.5cm 0.7cm 6cm Area = 2.5cm x 6cm 1.2cm x 0.7cm = 14.16cm or 1416mmMathematical LiteracyFuture Managers 3 4. 3.2cm Perimeter = 2.2cm +2.2cm5.3cm + 3.0cm + 0.8cm 3.0cm+3.2cm + 2.0cm2cm= 16.5 cm 0.8cm5.3Area = 3.0 x 5.3cm 2.2 x 2.0cm = 11.5cm or 1150mm Mathematical Literacy Future Managers 4 5. Self Assessment Calculate the total external surface areas of thefollowing boxes / cylindersRectangle as baseBase length = 26cm; basebreadth = 18cm; prism height= 10 cm Area =2(26 x 18) + 2(26 x 10) + 2(18x 10)=936 + 520 + 360=1816cm Mathematical Literacy Future Managers5 6. Self Assessment Calculate the total external surface areas of thefollowing boxes / cylindersCylinder Radius of circular base =20mm; altitude of cylinder =18cm Area =2(22/7)(2)(18) + (22/7)(2)(2)=238.64cm Mathematical Literacy Future Managers 6 7. Self Assessment Calculate the total external surface areas of thefollowing boxes / cylindersBoxBase side = 120mm; boxheight = 16cm Area =4(12x16) + 2(12x12)=1056cm Mathematical Literacy Future Managers 7 8. Self Assessment Calculate the total external surface areas of thefollowing boxes / cylindersCylinder Radius of base = 1.5m; heightof cylinder = 3m Area = 2(22/7)(1,5)(3) + (22/7)(1,5)(1,5)=35,33m Mathematical Literacy Future Managers 8 9. Summative AssessmentHeight DiagonalLengthRight AngleMathematical Literacy Future Managers9 10. Side of a rectangular prismBase Mathematical Literacy Future Managers10 11. CentreCircumference Mathematical Literacy Future Managers11 12. Parallel lines Perpendicula r lines Mathematical Literacy Future Managers 12 13. 2.The carpenter needs to paint the microwave oven cupboard. Use all the dimensions as in the drawing and calculate the total exterior surface area of this cupboard. If you need 500ml of point to cover 2 square metres of surface area, how many litres do you have to buy to paint both the inside and outside? Two coats are necessary. Mathematical Literacy Future Managers 13 14. 1. Draw a rough map of the central businessdistrict of the town where you are doing thiscourse. Do not include all the street and shopnames, but merely enough names to direct avisitor from the local of study to the nearest:a. Bankb. Fast food outletc. Chemist d. Hospitale. Police station Mathematical Literacy Future Managers 14 15. 1. The grid overlay of the next map of a sectionof Soweto gives numbers on the horizontal axisand letters on the vertical axis. Find and markon the mapa.Temba Drive in EB77b. Mlambo Street in EA 79c.Pilane Street in ED 79 Mathematical Literacy Future Managers 15 16. EB77 Mathematical Literacy Future Managers 16 17. EA 79 Mathematical Literacy Future Managers 17 18. ED 79 Mathematical Literacy Future Managers 18 19. 1. Then find and give the horizontal and vertical coordinates values for:a. TladiEC77b. Itshepeng Community CollegeEC80c. Jabulani AmphitheatreEB79d. Zola EB77 Mathematical Literacy Future Managers 19 20. If the scale is 1:50 000, what is the distancebetween: a. Region 6 Peoples Centre and Phiri Hall Distance = 106 mm = 5,3 kilometres e. Hospital and the Police Station Mathematical LiteracyFuture Managers 20 21. 1. On the table, what is the distance between: Port Elizabeth and Umtata? 585km Pretoria and Nelspruit? 322km Colesberg and Durban860km Johannesburg and Ladysmith? 356km Mathematical Literacy Future Managers 21