Mathematical Literacy 2Module 3

Answers to Assessment Questions

Mathematical Literacy 1Future Managers

Self Assessment Pg 1041. Measure with your ruler and then calculate the

perimeter of the following figures2. Calculate the area of the same figures

6cm

2.5cm

3.8cm1.2cm

0.7cm

1.5cm

Perimeter = 2.5cm + 6cm + 2.5cm + 1.5cm + 1.2cm +0.7cm + 1.2cm +3.8cm = 19.4 cm

Mathematical Literacy 2Future Managers

6cm

2.5cm

3.8cm1.2cm

0.7cm

1.5cm

Area = 2.5cm x 6cm – 1.2cm x 0.7cm

= 14.16cm² or 1416mm²

Mathematical Literacy 3Future Managers

5.3

0.8cm

2cm

2.2cm

3.2cm

3.0cm

Perimeter = 2.2cm + 5.3cm + 3.0cm + 0.8cm +3.2cm + 2.0cm = 16.5 cm

Area = 3.0 x 5.3cm – 2.2 x 2.0cm

= 11.5cm² or 1150mm²

Mathematical Literacy 4Future Managers

Self AssessmentCalculate 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

Mathematical Literacy 5Future Managers

Self AssessmentCalculate 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

Mathematical Literacy 6Future Managers

Self AssessmentCalculate the total external surface areas of the

following boxes / cylinders

Box Base side = 120mm; box height = 16cm

Area =4(12x16) + 2(12x12)

=1056cm²

Mathematical Literacy 7Future Managers

Self AssessmentCalculate 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

Mathematical Literacy 8Future Managers

Summative Assessment

Height

Diagonal

Length

Right Angle

Mathematical Literacy 9Future Managers

Base

Side of a rectangular prism

Mathematical Literacy 10Future Managers

Centre

Circumference

Mathematical Literacy 11Future Managers

Parallel lines

Perpendicular lines

Mathematical Literacy 12Future Managers

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 13Future Managers

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 outletc. Chemist d. Hospitale. Police station

Mathematical Literacy 14Future Managers

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 mapa.Temba Drive in EB77b. Mlambo Street in EA 79c.Pilane Street in ED 79

Mathematical Literacy 15Future Managers

EB77

Mathematical Literacy 16Future Managers

EA 79

Mathematical Literacy 17Future Managers

ED 79

Mathematical Literacy 18Future Managers

1. Then find and give the horizontal and vertical coordinates values for:

a. Tladib. Itshepeng Community Collegec. Jabulani Amphitheatred. Zola

EC77

EC80

EB79EB77

Mathematical Literacy 19Future Managers

• If the scale is 1:50 000, what is the distance between:

a. Region 6 People’s Centre and Phiri Hall

e. Hospital and the Police Station

Distance = 106 mm

= 5,3 kilometres

Mathematical Literacy 20Future Managers

1. On the table, what is the distance between:– Port Elizabeth and Umtata?– Pretoria and Nelspruit?– Colesberg and Durban– Johannesburg and Ladysmith?

585km

322km

860km

356km

Mathematical Literacy 21Future Managers