Grade10 Mathematical Literacy: Memorandum

[Pages:2]Mathematical Literacy(NSC)/Grade 10

95

MEMORANDUM

Grade10 Mathematical Literacy:Memorandum

Exemplar

1.1.1 1.1.2 1.1.3 1.1.4 1.2

1.3.1 1.3.2 1.3.3

1.4.1 1.4.2 1.4.3 1.5.1

1.5.2 1.5.3

1.6 1.7

1.8.1

1.8.2 1.9.1 1.9.2

15,645D

1

83D

1

R281,25DD

2

214 D

1

3313 % ofR299= R99,66D

R299? R99,66 = R199,34D OR

2

663 % ofR299= R199,34DD

2

It means that to every 1 measure of

concentrate,Dyoumustadd4 measuresof

water. D

2

200ml of concentrateD and 800ml of

waterD

2

1 32 cups?4 = 14 cupsDD

M yfrienddidnotmixitinthecorrectratio

butaddedtoomuchwatersoitwillnottaste

thesame. D OR 15 cups?4 = 314 cups

M y friend did nothaveenough concentrate

inthemixturetomakeittastethesame.

3

R55 +5 ?R10= R105DD

2

R55 +7 ?R10= R135DD

2

R55 +n ?R10= R55 +R10nDD

2

5,5% ofR4 575 = R251,63D

R4 575 +R251,63 = R4 826,63D

OR

105,5% ofR4 575 = R4 826,63DD

2

AliD

1

Ali's%

increase =

R292.50 R6 500

?100=

4,5%D

Fatimahgetsthebiggerpercentageincrease.

D

2

Dailywage:1R51d7a2y5s = R115 perdayDD

Earningsfor20days:20?R115 = R2 300D 3 1cm = 50000cmD 3,7cm = 185 000cmD Thereare100cm in1m and1 000m in1km

?1km = 100000cmD

?185 000cm ?100000= 1,85kmD

4

x = (R49,50+R172,00+R185,50+

R113,50+R13900+R405,00+R54,50)?

7D

= R1 119?7D

= R159,86D

3

R49,50;R54,50;R113,50;R13900;

R172,00;R185,50; R405,00D

M edian= R139,00D

2

Areaofrectangle:

9cm ?4,5cm = 40,5cm?DD

2

Circumferenceofthecircle:

C = 3,14 ?4,5cm = 14,13cmDD

2

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1.9.3 1.9.4 2.1 2.2.1 2.2.2 2.2.3 2.2.4 2.2.5 3.1 3.2 3.3

4.1 4.2.1 4.2.2

4.2.3

4.2.4

Volumeofbox:

6cm ?1,5cm ?2,5cm = 22,5cm?DD

2

Surface area of box:

2 ?1,5cm ?2,5cm + 2 ?6cm ?2,5cm + 2

?1,5cm ?6cm DDD

= 55,5cm?D

4

InterestisthefeeD paidbyaborrowerD

toalenderD fortheuseofborrowed

money

3

Interest is calculated based on the new

balance?inotherwordsinteresthasbeen

paidoninterestDD

2

(a)= R1 762,34DD

(b)= R211,48DD

(c)= R1 973,82DD

6

R1 973,82 ? R1 000= R973,82

R973.82 R1 000

?100=

97,38%DD

6 ?12% = 72% R720,00DDD

3

12

? (12

+12)DD=

1 2

or0,5D

3

8?(8+12)DD= 0,4D

0,4 of60drops= 24 dropsDD

5

4 ?60= 0,0667D

?a ?(a + 12)= 0,0667D

?a = 0,0667 ? (a + 12)D

?a = 0,0667 a + 0,799

?a ? 0,0667 a = 0,799

?0,933 a = 0,799D

? a = 0,856D

Thechildisapproximatelyoneyearold.D 6

FemaletickedD

Age:13-14 tickedD

A lottickedD

3

35 malesand60femalesDD

2

Totalnumberofstudentstakingpartin

survey= 95D Numberofstudentsfeltalotoran

unbearableamountofpressure= 44D

Thecounselorcouldhavearguedthat

44 95

?

40 100

?

2

outofevery5.

DD

4

% ofboysfeeling pressured :

14 35

as a percentage

= 40%DD

% ofgirlsfeeling pressured :

30 60

as a percentage

= 50%DD Thedataseemstoshow thatgirlsfeelthe

pressuremorethanboys. D

5

(a)Itcreatestheimpressionthattherewerea

lotmoregirlsparticipatinginthesurvey

thantherewereboys. DD

2

Mathematical Literacy(NSC)/Grade 10

96

MEMORANDUM

(b) No. DThe actual ratio of boys to girls is

63:36 ? 2:1D and the graph creates the

impression that the ratio is ? 5:1D (Length

of female bar: length of male bar)

3

(c) The counselor has not started the x-axis

at zero. This tends to emphasise the

difference between the boys and girls. DD 2

4.2.5

(a)

a

=

3 6

= 50%DD

b = 100% ? 50%D

3

(b) "Older girls are more likely to

experience a lot or an unbearable amount of

pressure than younger girls"DD

60% of older girls experience a lot or an

unbearable amount of pressure compared to

29% of younger girls. DD

4

(c) A double bar graph. It would be easy to

compare both age groups to each otherDD

and the two categories within the age

groups. DD

4

5.1.1 17D

1

5.1.2 W ednesdayDD

2

5.1.3 14:45 ? 11:45 = 3 hoursDDD

3

5.1.4 17:00 ? 14:45 = 2 hours 15 minutesDDD 3

5.1.5 The movie will take at least 2 hours and 15

minutes. DDTherefore the movie will end

at 22:15 plus 2 hours and 15 minutes which

means it will end at half past twelve or

00:30DD

4

5.2.1 20 seatsD

1

5.2.2 (a)R30,00D

(b) R25,00D

(c) R45,00D

3

5.2.3 H8 and H9DD

2

5.2.4 L7 DD

2

5.2.5 Category 1 tickets are the least expensive

tickets. DThis seat is close to the screen

Dbut is off to the side of the room Dwhich

means you do not get as good a view as you

would if you were further back from the

screen and in the centre of the room.

DTherefore it should be in the least

expensive category. D

5

6.1 If you print 1 000 brochures it will cost you

R5 per brochureDD

2

6.2 1 000 ? R5 DD

= R5 000D

3

6.3 2 500 ? cost = R5 000 DD

cost = R5 000 ? 2 500

cost = R2,00D

3

6.4 Number of brochures ? R20 = R5 000 DD

Number of brochures = R5 000 ? R20

Number of brochures = 250D

3

6.5 Decreases. D

1

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