ncv2 mathematical literacy hands-on training activities module 3

Mathematical Literacy 2Module 3

Answers to Activities

Answers to Activities 1Future Managers

Activity 71. a. What are three things you do in the a.m.

hours

b. Do you sleep more during the a.m. hours or p.m. hours?

c. Why is the second part of daylight hour time called the afternoon?

2. Analogue time: 8:19

Digital time: 08:19 or 20:19


Analogue time: 3:57


Analogue time: 8:27


Analogue time: 9:00


Analogue time: 2:53



Analogue time: 12:17


Analogue time: 5:00


Analogue time: 12:46



Activity 8If you want to buy skirting board for your lecture

room, then you have to measure the perimeter of the room to obtain the length of wooden strips that you will require.

1. Draw a rough sketch of your classroom, indicating the length and breadth. Remember , you don’t need to buy skirting board for that section.

2. How much skirting board would you need?


Activity 91. Which units of measurement will be used when

calculating the size of:a. Tile or envelope

b. Class room

c. Soccer field

d. Farm or small holding

2. Use the classroom measurements that you used to determine the length of skirting board you need to buy and calculate the area of classroom floor.

millimetresmetresmetres

kilometres


Activity 10The drawing is a floor plan of a house which the owner calls “Tree

House”. It was drawn by an architect. Looking from the top down, you will notice the different rooms of the house. The owner wants to buy a new carpet for the lounge / dining area. Using the scale 1:100, how many m² of carpet should he buy?

Measurements = 37x 35 mm

To scale = 3700 x 3500mm

=3.7m x 3.5m

=12.95m²


Activity 111. Sketch the rectangles with the following

dimensions and then calculate:• The perimeter of each• The area of each


Activity 11

Rectangle dimensions Perimeter Area

length = 12 cm; breadth = 8cm

length = 45 mm; breadth = 2,6cm

length = 16,25cm; breadth = 1238mm

40 cm 96 cm²

14,2 cm 11.7cm²

57,26 cm 201.2cm²Answers to Activities 9Future Managers

Activity 112. Write the dimensions and various units of

measurement for the following spaces or shapes.

Space or Shape Dimensions Unit

Perimeter / Circumference

Area

Volume

Capacity

1

2

3

mm / cm / m

mm² / cm² / m²

mm³ / cm³ / m

3 mm³ / cm³ / mAnswers to Activities 10Future Managers

Activity 121. Calculate the circumference of circles with the

following radii:• Radius 8cm• Radius 3 cm• Radius 10 cm

Circumference = 2r

=2 x 22/7 x 8

= 50.29cm

Circumference = 2r

=2 x 22/7 x 3

= 18.86cm

Circumference = 2r

=2 x 22/7 x 10

= 62.86cm


Activity 122.Calculate the area of the three potholes using the

area formula. Measure the circles

Area = r²

=2 x 22/7 x 5mm

= 31.43mm²

Area = r²

=2 x 22/7 x 1cm

= 6.29cm²

Area = r²

=2 x 22/7 x 19mm

= 119.43mm²


Activity 13• In pairs, find any box, bug or small. Even a

matchbox will do. Slit open the vertical sides. The sides of the box must all lie flat on the table top.


Activity 14• Work in pairs and measure the “Tree house”

drawings on page 109. Use the scale of 1:100 and complete the table below.


Activity 14Dimension measured Sketch

measureActual house measurement

Height of walls

Width of house

Length of roof

Height of window

Width of window

Size of house

Total surface of walls

17 mm

59 mm

59 mm

9 mm

10 mm

3128 mm²

1,7 m

5,9 m

5,9 m

0,9 m

1 m

31,28m²


Activity 15a. Measure and calculate the total driveway areas

as well as the pathway to the front door and the back stoep. The owner would like to pace the all of these areas.


Area 1 = length x breadth

=2,4 cm x 5,7cm

To scale:

=2400cm x 5700cm

=2,4m x 5,7m

=13, 68m²

1

2 3

4


=4,2 cm x 0,4cm

To scale:

=4200cm x 400cm

=4,2m x 0,4m

=1, 68m²Answers to Activities 17Future Managers


=0,5 cm x 0,6cm

To scale:

=50cm x 60cm

=0,5m x 0,6m

=0, 3m²

1

2 3

4


=2,7 cm x 1,4cm

To scale:

=2700cm x 1400cm

=2,7m x 1,4m

=3, 78m²

Total Area = Area 1 + Area 2 + Area 3 + Area 4

= 13, 68m² + 1, 68m² + 0, 3m² + 3, 78m²

= 19,44m²


1

2 3

4

Total Cost = Area x R130/m²

= 19,44m² x R130/m²

= R2 527,20


Activity 16Follow the steps below to create your own map:

1. Draw a sketch (map) on an A4 sheet of the route that you use daily from home to college

2. Add a few landmarks along this route e.g. bridge, taxi rank, petrol station

3. Add at least two prominent street names

4. How long does it take from home to college using this route?

5. Estimate the total distance between landmarks on the route as well as for the total route

6. On your map measure the distance between two landmarks (cm) and compare it with your estimate of the actual distance

7. Calculate the scale that you used when you drew the map


Activity 171. The grid overlay of the first map of a section of

Cape Town gives numbers on the horizontal axis and letters on the vertical axis

Find and mark on the map

a. Glen Aven in CC21

b. Woodside Street in CB21

c. Calais Road in BZ20

d. Protea Road in CA19

e. Long Street in CB22

f. Thornhill Road in BZ22Answers to Activities 21Future Managers

A.

Glen Ave


B.

Woodside Street


C.

Calais Road


D.

Protea Ave


E.

Long Street


F.

Thornhill Rd


Activity 172. Now, find and give the horizontal and vertical

coordinate values for:

a. City Hospital in Green Point

b. Jan van Riebeck High School

c. Green Point Common

d. Sea Point High School

e. Karos Arthur’s Seat Hotel

f. Green Point Track

BY23CC22

BY21CA19

CA20

BY22


Activity 173. Notice the two circles on map 2. A tourist

visiting Cape Town will most probably like to see both. The “Houses of Parliament” are very close to the Company Gardens.

a. Mark the shortest route a tourist would walk from the Company Gardens to the Waterfront

Go down Plein St, turn left in Darling Street, right in Adderley St, carry on past the first circle and turn left at the second circle into Coen Steytler Boulevard which takes you straight to the Western Quay.


Activity 17b. As the crow flies, what is the distance

between these two landmarks?

c. Measure the distance the tourist would need to walk to get from one to the other

110mm on the map. Using a scale of 1:20 000, the distance is 2,2km

152mm on the map. Using a scale of 1:20 000, the distance is 3,04km


Activity 17d. Estimate how long it will take to get there

e. If the same tourist decides to go and see the Castle as well, what route will this tourist take? Mark it on the map.

At an average walking speed of 12 minutes per kilometer, it will take 36 minutes to walk this distance.

Turn right in Darling St to reach the arm of the castle which is closest to the road. This measures 27mm on the map, times two (54mm), to previous route to the Western Quay. It is an extra 1,08km Answers to Activities 31Future Managers

Activity 17f. Estimate how much longer it will take to

eventually get to the Waterfront. Give your answer as a common fraction.

To visit the Castle before going to the Western Quay at the V & A Waterfront will take an estimated 12 minutes longer. That is 12/60 of an hour which can be simplified to 1/5 of an hour.


Activity 18• Draw a rough map of the campus where you are

studying. Show all relevant points such as the cafeteria, hostel


Activity 19Using Jumper Cables

a. Connect one end of the positive jumper cable to the positive terminal on the donor vehicle’s battery

b. Connect the other end of the jumper cable to the positive terminal on the disabled vehicle’s battery

c. Connect one end of the negative jumper cable to the negative terminal on the donor vehicle’s battery

d. Connect the other end of the negative jumper cable to a suitable earth point on the vehicle. The earth point should be at least 0.5 metres away from the battery and as far away as possible from any fuel or brake pipes


Activity 19Using Jumper Cables

e. Start the engine of the donor vehicle and allow it to idles for a few minutes

f. Start the engine of the disabled vehicle

g. Allow both vehicles to idle for two minutes

h. Switch of the donor vehicle

i. Warning: Disconnect the cable in the reverse order of that used for connection


Activity 191. What is the colour of the positive jumper

cable?

2. And the negative jumper cable?

3. What is the earth point and why do you think this should be as far away as possible from any fuel pipes?

Red

Black


4.Draw a flow diagram to explain the process in a more visual way.


Activity 20a. Press to switch on or of and to change the volume (1)a. Press to select preset radio station or disk from shuttle (2)c. Display screen (3)a. Press to access the audio system’s menu (4)e. Press to scroll through menu options or adjust settings (5)f. Press to automatically search for a radio station or select a track from CD (6)

a. Press to manually search for a radio station or to search in a CD track

h. Press to eject the CD (8)a. Press the button repeatedly to scroll through the sound setting options

j. Press the appropriate mode button to select FM, AM CD or Aux (j)


Activity 20a. Which button would you use if you wanted to

change the bass or treble of this audio system?

b. Which button would you use to increase or decrease the bass?

c. To confirm your settings, which button would you press?

Button 9

??? How is this different

Button 4


Activity 20d. Which method of time is used?

e. If you want to plug your iPod into this system, which mode do you think will work?

f. Name the buttons that you need to push if your audio system is off, but you want to listen to Track 6 on CD no 5

24 hour time

Aux mode

Button 1; Button 10; Button 2; Button 6 four times


Activity 20g. Draw a simple flow diagram of the buttons that

you need to push for question f


Activity 21• Compile a simple list of instructions to use the

iPod controls. If you have an iPod, let the other members of the group take the lead.

You will need to attend to the following:

1. Pause / Play

2. How to skip to the next song

3. To go back to a previous song or artist

4. List and explain the information on the display screen.


Activity 22


Activity 23

4m

1m

2.5m


Activity 231. Calculate the diameter and radius of the fence

2. Calculate the circumference of the safety fence

Diameter = 4 + (2 x 1m) + (2 x 2.5m) = 11mRadius = ½ Diameter = 5.5m

Circumference = d

= 227 x 11

=34.57m


Activity 233. The length of material that is needed to build

the fence. There will be two gates in it each 1.85m wide

4. What the fence will cost if it costs R285/m for the fencing and the gates cost R750 each

Length of material = Circumference – 2 x gates=34.57m – 2 x 1.85m = 30.87m

Total Cost = Cost of fencing + Cost of gates=30.87m x R285/m + 2 x R750=R10 297.95


ncv2 mathematical literacy hands-on training activities module 3

Education

area x r130m

x 60cm23

length x breadth4

activities answers

digital time

analogue time

total area

circles area