Grade10 Mathematical Literacy: Memorandum
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
Copyright reserved
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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