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)

1. Mathematical Literacy 2
Module 3
Answers to Assessment Questions
Mathematical Literacy Future Managers 1

2. Self Assessment Pg 104
1. Measure with your ruler and then calculate the
perimeter of the following figures
2. Calculate the area of the same figures
3.8cm 1.5cm
1.2cm
2.5cm
0.7cm
6cm
Perimeter = 2.5cm + 6cm + 2.5cm + 1.5cm + 1.2cm
+0.7cm + 1.2cm +3.8cm = 19.4 cm
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3. 3.8cm 1.5cm
1.2cm
2.5cm
0.7cm
6cm
Area = 2.5cm x 6cm – 1.2cm x 0.7cm
= 14.16cm² or 1416mm²
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4. 3.2cm
Perimeter = 2.2cm +
2.2cm
5.3cm + 3.0cm + 0.8cm
3.0cm +3.2cm + 2.0cm
2cm
= 16.5 cm
0.8cm
5.3
Area = 3.0 x 5.3cm – 2.2 x 2.0cm
= 11.5cm² or 1150mm²
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5. Self Assessment
Calculate the total external surface areas of the
following boxes / cylinders
Rectangle as base Base length = 26cm; base
breadth = 18cm; prism height
= 10 cm
Area =2(26 x 18) + 2(26 x 10) + 2(18x 10)
=936 + 520 + 360
=1816cm²
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6. Self Assessment
Calculate the total external surface areas of the
following boxes / cylinders
Cylinder Radius of circular base =
20mm; altitude of cylinder =
18cm
Area =2(22/7)(2)(18) + (22/7)(2)(2)
=238.64cm²
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7. Self Assessment
Calculate the total external surface areas of the
following boxes / cylinders
Box Base side = 120mm; box
height = 16cm
Area =4(12x16) + 2(12x12)
=1056cm²
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8. Self Assessment
Calculate the total external surface areas of the
following boxes / cylinders
Cylinder Radius of base = 1.5m; height
of cylinder = 3m
Area = 2(22/7)(1,5)(3) + (22/7)(1,5)(1,5)
=35,33m²
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9. Summative Assessment
Height
Diagonal
Length
Right Angle
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10. Side of a
rectangular
prism
Base
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11. Centre
Circumference
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12. Parallel lines
Perpendicula
r lines
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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.
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14. 1. Draw a rough map of the central business
district of the town where you are doing this
course. Do not include all the street and shop
names, but merely enough names to direct a
visitor from the local of study to the nearest:
a. Bank b. Fast food outlet
c. Chemist d. Hospital
e. Police station
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15. 1. The grid overlay of the next map of a section
of Soweto gives numbers on the horizontal axis
and letters on the vertical axis. Find and mark
on the map
a.Temba Drive in EB77
b. Mlambo Street in EA 79
c.Pilane Street in ED 79
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16. EB77
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17. EA 79
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18. ED 79
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19. 1. Then find and give the horizontal and vertical
coordinates values for:
a. Tladi EC77
b. Itshepeng Community CollegeEC80
c. Jabulani Amphitheatre EB79
d. Zola EB77
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20. • If the scale is 1:50 000, what is the distance
between:
a. Region 6 People’s Centre and Phiri Hall
Distance = 106 mm
= 5,3 kilometres
e. Hospital and the Police Station
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21. 1. On the table, what is the distance between:
– Port Elizabeth and Umtata? 585km
– Pretoria and Nelspruit? 322km
– Colesberg and Durban 860km
– Johannesburg and Ladysmith? 356km
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