Grade11 Mathematical Literacy: Memorandum Paper 2

Mathematical Literacy(NCS)/Grade 11/ P2

99

MEMORANDUM

Grade11 Mathematical Literacy:Memorandum Paper 2

Exemplar

1.1 R3 000topayforbicycleandfranchisefee.

D

1

1.2 R3,50foricecreams

R0,50forspoonandserviettes

R0,05 franchisefee

R25 forblockofice.DD

2

1.3 R10,00pericecream. D VariableD

2

1.4 R25 +30(R3,50)+30(R0,50)+30(R0,50)

DD = R25 +30(R4,50)

= R160D

3

1.5 a R3 000+8?(R25 +30(R4,50))D=

R4 280D

b R3 000+15 ?(R25 +30(R4,50))D

= R5 400D

c R3 000+30?(R25 +30(R4,50))D

= R7800D

6

1.6 a 8days?30ice-creams?R10D

= R2 400D

b 15 days?30ice-creams?R10

= R4 500D

c 30days?30ice-creams?R10

= R9000D

6

1.7

Comparison of income and expenditure for 30 ice creams-a-day scenario

R10 000,00 R9 000,00 R8 000,00 R7 000,00 R6 000,00 R5 000,00 R4 000,00 R3 000,00 R2 000,00 R1 000,00 R0,00 0

Expense Income

5

10

15

20

25

30

35

Number of days

GraphlabelsD

ExpensegraphDD

IncomegraphDD

AppropriatescaleD

6

1.8.1 For30ice-creamsperday:about20daysD

For60ice-creamsperday:about10daysD 2

1.8.2 30ice-creamsperday:afterabout30days

60ice-creamsperday:afterabout18daysD 2

2.1 Scaleofdiagram:Using1,8cm represents

45cm,yougeta scaleof1:25 D

Dimensionsoflidonthedrawing:1,1cm by

0,8cmDD

Dimensionsoflid:27,5cm by20cmDD

5

2.2 Externaldimensions:80cm ?46cm ?45cm

But2 ?8cm = 16cm mustbesubtracted

from eachsideD

Internaldimensions:64cm ?30cm ?29cm

DDD

4

2.3 LetS = 3,14

Vol= 3,14 ?(3,5cm)??5,4cmDD

= 207,78cm?DD

4

2.4 A topview ofthebottom ofthecoolerbox withtheblockoficeinitwouldlooklike this:

20cm

44cm

7cm 20cm

9cm

DD Theheightofthecoolerboxwherethereis noiceis30cm. Thismeansyoucanfitin (30cm ?5,4cm)= 5,55 tubsD Thismeansthattherecanbe5 layersoficecreams. ? Numberofice-creamsincoolerbox wherethereisnoice= 26 ?5 = 130tubsD

3.1

3.2

3.3

4.1.1 4.1.2 4.1.3 4.2 4.3

Theheightofthecoolerboxwherethereis

iceis30cm ? 20cm =10cm. Thismeansyou

canfitin(10cm ?5,4cm)= 1,9tubs

Thismeansthattherecanonlybe1 layeron

topoftheice. D

? Numberofice-creamsincoolerbox

wherethereisice= 6 ?1 = 6 tubs

Totalnumberoftubs= 136 tubs. D

6

Theearliestbusisat06:10Dsoheshould

leavehishomenotlaterthan05:55. D He

takes10minutestowalktothestationsohe

willgetthereatabout06:05. D Hewill

catchthebusat06:10andarriveatParktown

at06:49. D Hetakesabout15 minutesto

walktohisbicyclesohewillarriveatabout

07:04. D

5

Hegetsonveryneartothebeginningofthe

busrouteandgetsoffatVictoria/Oxford

whichmeansheiszone4 whichwillcost

him R8,30. DDD

3

Thelastbusofthedayisat17:36. D He

mustpackawaybefore17:20Dsothathe

hasatleast15 minutestowalktothestation.

HewillarriveatSouthgateCentreat18:25

Dandhetakes10minutestowalkhome.

Thismeanshewillarriveatabout18:35. D 4

149D

142D

149D

3

Somepeopledidnotfillintheirgender. D 1

Itappearsasiftherewerea lotmoremales

buyingice-creamsthanfemaleswhereasin

realitytherewasa differenceofonly4. DD

Thisimpressioniscreatedbystartingthe

horizontalaxisat67andnotatzero. DDBy 4

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Mathematical Literacy(NCS)/Grade 11/ P2

100

MEMORANDUM

doing this the graph emphasises the

5.1

difference between the males and females.

4.4 There are only 4 people in the sample who

are older than 35 years of age. D This is too

small a number in this age group to test the

preference of flavours for the whole

population of 35 years of age. D

2

4.5 Gained: It is easy to compare the males and

females when looking at a particular flavour.

For example: it is easy to see that more

5.2

males than females like Licorice flavoured

ice-cream. D

Lost: You cannot compare the males with

the other males i.e. you can't see which of

the flavours the males like best. D

2

4.6

13-17 18-24 25-34 35-49

Choc 20 34

6

3

Straw 6

14

5

1

DD DD

Number of people

40 35 30 25 20 15 10

5 0

13 -17

Answer by age

18 -25

25 -34

Age categories

Chocolate Strawberry

35 -49

Exemplar

Number of kilograms of ice cream:

45 ? 0,200kg = 9kgD Number of kilograms of dry-ice:

9 4

+ 112

3

= 34 kgDD

He will need:

343 kg ? 2 = 712 half-kilograms of dry-iceDD

Thabo must buy 8 half-kilograms of dry-iceD

6

Number of kilograms of dry-ice:

7 ? 2 = 312 kgD

Number of kilograms of food:

x 5

+

1 2

1 = 32 kg

x = 3 ? 5 = 15kgDD

Number of ice creams:

15kg ? 0,2kg = 75 ice creamsD

4

Dlabels on graph

DDDgraph correct

8

4.7 Advantage of "Answer by age"using

percentage: You can compare the different

flavours within an age group even although

there are a different number of people in

each age group i.e the 25-34 age group like

strawberry the most out of all the age-

groups. D Disadvantage: You can't compare within the

same age group. D Advantage of "Answer by age"using actual

numbers: You can compare the different age

groups. i.e you can see that strawberry is the

most popular of all the age groups. D

Disadvantage: You can't compare within the

same flavour as the number of participants

in each age group differs.D

4

4.8 Licorice: (12 ? 149)% ? 20 = 1,6D

Bubblegum: (32 ? 149)% ? 20 ? 4D

Vanilla: (16 ? 149)% ? 20 ? 2D

Stawberry: (26 ? 149)% ? 20 ? 3D

Chocolate: (63 ? 149)% ? 20 = 8,5D

Because chocolate is the most popular

flavour it would be sensible to rather buy 9

boxes of chocolate and only 1 box of

licorice. D

6

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