Grade 11 Mathematical Literacy: Memorandum Paper 1
Mathematical Literacy(NSC)/Grade11/ P1
97
MEMORANDUM
Exemplar
Grade 11 Mathematical Literacy:Memorandum Paper 1
1.1.1 221 ?60= 150minutesD
3.1 3.2
1
1.1.2 Rate
= 100 y 150D
3.3
= 0,67marksperminuteDOR
1 12 minutes/mark
2 3.4
1.1.3 M arkstobecompletedin15 minutes
= 0,67?15D
= 10marksD
shouldbeonquestion1.4D
OR
4.1
M arkstobecompletedin15 minutes
1
4.2
= 15 y 12 D
= 10marksD
shouldbeonquestion1.4D 1.2.1 410D
3 1 4.3
1.2.2 9DD
2
1.2.3 10D
1
1.3.1 49 y 11= 4,45D
OR
4?11= 44 D
maximum numberofsoccerteamsis4D 2
1.3.2 TotalnumberofGrade11 learners
= (1+3)?49D = 196learnersD
5.1 2 5.2
1.4 8% ?4
= 0,5 hoursD
theynow practicefor4,5 hoursD
1.5 (50y 196)?100D
2 5.3
= 25,5 %D
2
1.6 Discount
= 20% ?180
= R36D
new priceis180?36= R144D
1.7 Costofbananas
= 0,4 ?5,95D
= R2,38D
2
1.8 Acceptanymass(weight)greaterthan
59,6kgandlessthan59,8kgDD 2.1 Date= 13 July2007D
2 6.1
Time= 13:06D
2
2.2 W ithanasteriskOR starnexttotheprice.D 1
2.3 Thereare6itemsforonthetillslip.D
1
2.4 Theroundingentryindicatestheamountof
moneydeductedsoastoroundoffthetotal
toamultipleof5 cents. D
This is necessary because there is no coin
6.2
withavaluelessthan5 cents. D 2.5 R39,75 D
2 6.3
Reason:TheR39,79 totalisroundeddown
6.4
byR0,04 toR39,75D OR
Reason:R10,25 changeisreceivedafterthe
customerpaysR50. D
2
R2,85D
1
Costofcall
= 2,75 ?3D
= R8,25D
2
Lengthofcall
= 24,40 y 2,20DD
= 11 minutesD
3
Off-peaktariff= R1,12D
Cost= 11min?R1,12
= R12,32D Shewouldhavesaved:
R24,40? R12,32 = R12,08D
3
Vol= 3,14 ?3,52 ?10,5 DD
= 403,9cm?D
3
Breadthoflabel= 10,5cm D
Lengthoflabel= 2 ?3,14 ?3,5D = 21,98cmD
Thedimensionsofthelabelare10,5cm by
21,98cm
3
75cm y 21,98= 3,14D
thismeansyoucanfitin3 labelsonthis
side.D
65cm y 10,5 = 6,19D
thismeansyoucanfitin6labelsonthis
side.D Numberoflabel= 3 ?6
= 18labelsD
5
4 %
Percentageoffemales= 51 +9 = 60% D
Numberoffemales
= 60% ?2435 D
= 1 461 femalesD
3
Totalnumberofmales
= 2 432 ?1 459 = 973D NumberofmaleswhoareHIV positive
= 4% ?2432
= 97malesD
PercentageofmaleswhoareHIV
positive= 97 y 973 ?100= 10% DD
OR
Percentageofmales= 100?60= 40%DD
PercentageofmaleswhoareHIV
positive= 4 y 40?100= 10% DD
4
Tobreakeven,profit= 0
I =C
4x = x +1 200D
3x = 1 200D
x = 400
Thecompanymustproduce400soccer
ballsin orderto break even. D
3
Onthenextpage
OnthegraphonthenextpageD
1
profit= Income?cost
= 4 ?905 ?(905 +1200)D
= R1515D
2
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Mathematical Literacy(NSC)/Grade11/ P1
98
MEMORANDUM
6.2
7.1 7.2 7.3 7.4 7.5
8.1 8.2
8.3.1 8.3.2 8.3.3 8.3.4 8.3.5
Graph showing the revenue and costs of a company as a function of the number of soccer balls produced
3000
2500
C = x + 1200
2000
Rands
1500
1000
500
0 0
I = 4x 6.3
100
200
300
400
500
600
700
Number of soccer balls
Dheading
DDaxis labels
DC = x+1200 line
DR= 4x line
5
The 30 to 34 year old age group. D
1
The 20 to 24 year old age group and the
40 to 44 year old age groups had the same
HIV prevalence. DD
2
Amongst the 25 to 29 year old age group. D 1
13% ? 132 DD
= 17 peopleD
3
HIV prevalence in females = 33,5% D
HIV prevalence in males
= 44,5% ? 33,5% D
= 11%D
HIV prevalence was about 22,5% higher
in females aged between 25 and 29, than in
males. D
4
A2 = 3,0002 + 1,200DD A=3,606mD
3
The instrument used to measure the
dimensions was probably a tape measure,
which measures accurately to the nearest
millimeter. D
When working with meters, three decimal
places isa millimeter, because a millimeter
is one thousandth of a meter. D
2
Surface area
= 6,000 ? 10,000 DD
= 60,000m2D
3
150mm L (150 y 1000)m = 0,150mD
1
Volume = area of base ? height
= 60,000 ? 0,150 DD
= 9,000m2D
3
Number of bags of cement
= 9,000 ? 5D
= 45D
2
Cost of cement
= 45 ? R55,99D
=R2 519,55D
2
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