Grade10 Mathematical Literacy: Memorandum

Mathematical Literacy(NSC)/Grade 10

MEMORANDUM

95

Exemplar

Grade10 Mathematical Literacy:Memorandum

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

83D

R281,

25DD

1

24 D

1

1

2

1

1

333 % ofR299= R99,

66D

R299¨ª R99,

66 = R199,

34D

OR

2

663 % ofR299= R199,

34DD

2

It means that to every 1 measure of

concent

rat

e,Dyou mustadd 4 measuresof

2

water. D

200ml of concent

rat

eD and 800ml of

2

wat

erD

1

32 cups¡Á 4 = 14 cupsDD

M y fri

end di

d notmi

xi

ti

nt

hecorrectrat

i

o

butaddedt

oomuchwat

ersoi

twi

l

lnott

aste

t

hesame. D

OR

1

15 cups¡Â4 = 34 cups

M y fri

end di

d nothave enough concent

rat

e

i

nt

hemi

xt

uret

omakei

tt

ast

et

hesame.

R55 + 5 ¡Á R10= R105DD

R55 + 7 ¡Á R10= R135DD

R55 + n ¡Á R10= R55 + R10nDD

5,

5% ofR4 575 = R251,

63D

R4 575 + R251,

63 = R4 826,

63D

OR

105,

5% ofR4 575 = R4 826,

63DD

Al

i

D

R292.50

Al

i

¡¯s% i

ncrease= R6 500 ¡Á100= 4,5% D

Fat

imahget

st

hebi

ggerpercent

agei

ncrease.

D

R1 725

Dai

l

ywage:15 days = R115 perdayDD

Earni

ngsfor20days:20¡Á R115 = R2 300D

1cm = 50000cmD

3,

7cm = 185 000cmD

Thereare100cm i

n1m and1 000m i

n1km

?1km = 100000cmD

?185 000cm ¡Â100000= 1,

85kmD

50+R172,

00+ R185,

50+

x = (R49,

R113,

50+ R13900+ R405,

00+ R54,

50)¡Â

7D

= R1 119¡Â7D

= R159,

86D

R49,

50;R54,

50;R113,

50;R13900;

R172,

00;R185,

50; R405,

00D

M edi

an= R139,

00D

Areaofrect

angl

e:

9cm ¡Á 4,

5cm = 40,

5cm?DD

Ci

rcumferenceoft

heci

rcl

e:

C = 3,

14 ¡Á4,

5cm = 14,

13cmDD

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

3

2

2

2

4.1

2

1

4.2.1

4.2.2

2

3

4.2.3

4

4.2.4

2

2

6 ¡Á12% = 72% ? R720,

00DDD

1

12 ¡Â(12 + 12)DD= 2 or0,

5D

8¡Â(8+ 12)DD= 0,

4D

0,

4 of60drops= 24 dropsDD

4 ¡Â60= 0,

0667D

?a ¡Â(a + 12)= 0,

0667D

?a = 0,

0667 ¡Á (a + 12)D

?a = 0,

0667 a + 0,

799

?a ¨ª 0,

0667 a = 0,

799

?0,

933 a = 0,

799D

? a = 0,

856D

Thechi

l

di

sapproxi

mat

el

yoneyearol

d.D

Femal

et

i

ckedD

Age:13-14 t

i

ckedD

Al

ott

i

ckedD

35 mal

esand60femal

esDD

Tot

alnumberofst

udent

st

aki

ngparti

n

survey= 95D

Numberofst

udent

sfel

tal

otoran

unbearabl

eamountofpressure= 44D

Thecounsel

orcoul

dhavearguedt

hat

44

40

¡ì

¡ì 2 outofevery5. DD

95 100

2

4

3

2

6

3

3

5

6

3

2

4

% ofboysfeel

i

ngpressured:

14

a

s

a

p

e

r

c

e

n

t

a

ge

35

= 40%DD

% ofgi

rl

sfeel

i

ngpressured:

30

asapercentage

60

3

2

Vol

umeofbox:

6cm ¡Á 1,

5cm ¡Á 2,

5cm = 22,

5cm?DD

Surfaceareaofbox:

2 ¡Á 1,

5cm ¡Á 2,

5cm + 2 ¡Á 6cm ¡Á 2,

5cm + 2

¡Á 1,

5cm ¡Á 6cm DDD

= 55,

5cm?D

Int

eresti

st

hefeeD pai

dbyaborrowerD

t

oal

enderD fort

heuseofborrowed

money

Int

eresti

scal

cul

at

edbasedont

henew

bal

ance¨Ci

not

herwordsi

nt

eresthasbeen

pai

doni

nt

erest

DD

(a)= R1 762,

34DD

(b)= R211,

48DD

(c)= R1 973,

82DD

R1 973,

82 ¨ª R1 000= R973,

82

R973.82

¡Á 100= 97,

38% DD

R1 000

= 50%DD

Thedat

aseemst

oshow t

hatgi

rl

sfeelt

he

5

pressuremorethanboys. D

(a)Itcreatestheimpressiont

hattherewerea

l

otmoregi

rl

spart

i

ci

pat

i

ngi

nt

hesurvey

2

thant

herewereboys. DD

Mathematical Literacy(NSC)/Grade 10

MEMORANDUM

4.2.5

5.1.1

5.1.2

5.1.3

5.1.4

5.1.5

5.2.1

5.2.2

5.2.3

5.2.4

5.2.5

6.1

6.2

6.3

6.4

6.5

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

63:36 ¡ì 2:1D and the graph creates the

impression that the ratio is ¡ì 5:1D (Length

of female bar: length of male bar)

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

at zero. This tends to emphasise the

difference between the boys and girls. DD

3

(a) a = 6 = 50%DD

b = 100% ¨ª 50%D

(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

(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

17D

W ednesdayDD

14:45 ¨ª 11:45 = 3 hoursDDD

17:00 ¨ª 14:45 = 2 hours 15 minutesDDD

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

20 seatsD

(a)R30,00D

(b) R25,00D

(c) R45,00D

H8 and H9DD

L7 DD

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

If you print 1 000 brochures it will cost you

R5 per brochureDD

1 000 ¡Á R5 DD

= R5 000D

2 500 ¡Á cost = R5 000 DD

cost = R5 000 ¡Â 2 500

cost = R2,00D

Number of brochures ¡Á R20 = R5 000 DD

Number of brochures = R5 000 ¡Â R20

Number of brochures = 250D

Decreases. D

Copyright reserved

96

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2

3

4

4

1

2

3

3

4

1

3

2

2

5

2

3

3

3

1

Exemplar

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