Grade11 Mathematical Literacy: Memorandum Paper 2
[Pages: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
Copyright reserved
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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