Grade11 Mathematical Literacy: Question Paper 2

Mathematical Literacy (NSC)/ Grade 11/P2

58

Exemplar

Grade11 Mathematical Literacy:QuestionPaper 2

MARKS: 100

1

TIME: 22 hours

World Vision ()tells thestory

ofLiber,asixyear old Bolivian boy,who was

forced together withhis familyto fleehis homeas

aresultofflooding. Heand his familyhavetaken

uptemporaryaccommodation in acampwithsome

300other people. Liber and his familylost

everythingas aresultoftheflood. To helphis

familymakeends meet,Liber and his father

Esteban getupat6a.m. eachmorningto purchase

bulkicecream supplies,whichtheybringbackto

thecampin awhitecart.Theyspend therestofthe

daypushingthecartaround sellingicecream.

QUESTION 1

Thabo lives in Johannesburgand is exploringsellingicecream in order to payfor his

collegefees. Hehas established thefollowinginformation:

EXPENSES:

y

R3000,

00 monthlypaymentfor thefirst12months to payfor t

hebicycleand franchisefee.

y

y

y

R3,

50

R0,

50

R0,

50

per icecream to thecompany

for aservietteand spoon thathesupplies witheachicecream

franchisefeeper icecream t

ot

hecompany

y

R25,

00

per dayfor theblockoficethatheuses to keepthecontainer cold

INCOM E:

y

R10,

00

1.1

1.2

per icecream thathesells.

IdentifyThabo¡¯s fixed monthlycosts.

IdentifyThabo¡¯s variablecosts.

Copyright reserved

(1)

(2)

Mathematical Literacy (NSC)/ Grade 11/P2

59

Exemplar

1.3

Identify Thabo¡¯s source(s) of income and classify it as fixed or variable

The company has told Thabo that salesmen typically sell a minimum of 30 ice creams

and a maximum of 60 ice creams per day.

1.4

Show that Thabo¡¯s variable expenses for a day on which he sells 30 ice creams is:

R160,00

(3)

Hence, or otherwise, complete the table below (only write down the values of a, b and c

and your working for each value in your answer book)

(6)

1.5

(2)

Monthly expenses

No of days worked in the month

1.6

4

8

15

30

30 ice creams sold per day

R3 640,00

a

b

c

60 ice creams sold per day

R4 180,00

R5360,00

R7425,00

R11 850,00

Complete the following table (only write down the values of a, b and c and your

working for each value in your answer book)

(6)

Monthly income

No of days worked in the month

1.7

4

8

15

30

30 ice creams sold per day

R1 200,00

a

b

c

60 ice creams sold per day

R2 400,00

R4 800,00

R9000,00

R18 000,00

Thabo has used the values form the tables above to draw the graph below to compare the

monthly income and expenses for the 60 ice creams-a-day scenario. Draw a similar

graph for the 30 ice creams-a-day scenario on the graph paper provided.

(6)

Comparison of income and expenses for 60 ice creams-a-day scenario

R20 000

R18 000

R16 000

R14 000

R12 000

R10 000

R8 000

R6 000

R4 000

R2 000

R0

0

5

10

15

20

Number of days of work per month

Copyright reserved

25

30

Mathematical Literacy (NSC)/ Grade 11/P2

1.8

60

Exemplar

Use your graph and Thabo¡¯s graph above to answer the following questions:

Roughly how many days should Thabo work in order to cover his expenses in

1.8.1

each scenario?

Roughly how many days should Thabo work for each scenario in order to

1.8.2

make a profit of at least R2 000,00 per month?

(2)

(2)

[30]

QUESTION 2

A drawing of the bicycle appears alongside with the

dimensions of the cooler box marked.

If the cooler box is drawn to scale

2.1

determine the dimensions of the lid

of the cooler box (show all

working)

(5)

2.2

If the walls of the cooler box are

8cm. thick to ensure good

insulation, what are the internal

dimensions of the cooler box?

46cm

(4)

80cm

The ice creams that are sold by the company come in

tubs with a diameter of 7cm and a height of 5,4cm.

2.3

2.4

Use the formula for the volume of

a cylinder ( Volume =S uur 2 h ) to

show that the tubs can hold the

200ml of ice cream marked on the

side of the tub. Use S = 3,14.

(4)

If Thabo places a single ice block

with dimensions 20cm ¡Á 20cm ¡Á

20cm in the cooler box at the start

of each day, estimate (showing

detailed

calculations

and/or

diagrams) how many ice cream

tubs will be able to fit inside the

cooler box

(6)

45cm

[19]

Copyright reserved

Mathematical Literacy (NSC)/ Grade 11/P2

61

Exemplar

QUESTION 3

The time table for the Metrobus (mbus.co.za) and the fare table are supplied below. Use

these tables to answer the questions that follow.

Thabo stores his bicycle in a garage in Parktown and lives near to the Southgate Centre

and travels by bus to get from home to where he stores his bicycle.

It takes Thabo approximately 10 minutes to walk from home to the bus stop.

It takes Thabo approximately 15 minutes to walk from the bus stop to his bicycle.

3.1

3.2

3.3

At what time should Thabo leave home to reach his bicycle as early as possible

and at what time can he expect to get there? Describe his journey in detail to

substantiate your answer.

(5)

How much will the appropriate one-way ticket on the bus cost Thabo? Explain

how you have come to your answer

(3)

By what time should Thabo have packed away his bicycle if he is to get home by

bus? What time will he get home?

Copyright reserved

(4)

[12]

Mathematical Literacy (NSC)/ Grade 11/P2

62

Exemplar

QUESTION 4

In order to assist him in planning which flavours of ice cream to buy, Thabo conducted a

survey the results of which are shown below. The questions that follow are based on the

information contained in these graphs

What is your favourite ice cream flavour?

12

Licorice

Bubblegum

32

Vanilla

16

26

Strawberry

Chocolate

63

0

10

20

30

40

50

Responses by sex

70

Responses by age

4

35 - 49

Male

60

69

16

25 - 34

18 - 24

75

73

Female

13 - 17

67

68

69

70

71

72

73

54

0

74

10

20

30

40

50

60

70

Answer by sex

Licorice

Female

Male

Bubblegum

Vanilla

Strawberry

Chocolate

0%

10%

20%

30%

40%

50%

60%

70%

80%

90%

100%

Answer by age

6%

8%

9%

Licorice

35 - 49

25 - 34

18 - 25

19%

19%

Bubblegum

13 - 17

28%

6%

Vanilla

9%

15%

25%

Strawberry

31%

19%

11%

75%

38%

Chocolate

45%

37%

0%

Copyright reserved

10%

20%

30%

40%

50%

60%

70%

80%

80

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download