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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