MATHEMATICAL LITERACY PAPER 1 HALF-YEARLY EXAM · 1.2 How many beef stock powders will be used to prepare the recipe for 20 people? (2) 1.3 According to the recipe, the oven has to

MARKS: 75

TIME:1½ HOURS

This question paper consists of 11 pages with an Annexure.

MATHEMATICAL LITERACY PAPER 1

HALF-YEARLY EXAM

NATIONAL

SENIOR CERTIFICATE

GRADE 11

Mathematical Literacy/P1 2 June 2015 NCS

INSTRUCTIONS AND INFORMATION 1. This paper consists of FIVE questions. Answer ALL the questions. 2. Answer QUESTION 4.2 on the attached ANNEXURE B. Write your name and

surname in the space provided on the ANNEXURE and hand in the

ANNEXURE with your answer sheet. 3. Number your answers correctly according to the numbering system used in the

question paper. 4. A non- programmable and non-graphical calculator may be used, unless

stated otherwise. 5. ALL calculations and steps must be shown clearly. 6. Units of measurement must be indicated where applicable. 7. Start EACH question on a NEW page. 8. Write neatly and legibly. 9. Round off ALL FINAL answers according to a given context, unless stated

otherwise.


QUESTION 1 Maureen, a resident of Hazyview in Mpumalanga, visited the Northern Cape Province

for the December holidays. She visited a local restaurant and asked to be served a

local healthier food. She was served with an ostrich fillet in naartjie sauce. Ostrich

meat is fat-free, low in calories and cholesterol, while being rich in protein.

The following is a recipe for Ostrich Fillet in Naartjie Sauce.

Serves 4 people

3,6 oz (ounce) Ostrich Fillet

1½ tsp beef stock powder

Juice and grated peel of 1 large

orange

60 mℓvinegar

1 tbsp honey

2 tbsp olive oil

1 can naartjies

Add salt and freshly ground

pepper to taste


1.1 The recipe requires 2 tablespoons (tbsp) of olive oil. How many mℓof olive oil

will Mapula use if 1 tbsp = 15 mℓ?

(2)

1.2 How many beef stock powders will be used to prepare the recipe for 20 people? (2)

1.3 According to the recipe, the oven has to be preheated to 400ºF. Convert this

temperature to ºC using the formula below: °C = (°F − 32°) ÷ 1,8. Give your answer to the nearest 10ºC.

(3)

1.4 In South Africa meat is sold in kilograms (kg). Convert the ostrich fillet needed

for the recipe to determine how many kilograms of ostrich fillet are needed.Use

the following information:

1 kg = 32,274 oz.

(3)

[10]


QUESTION 2 2.1 Loveday worked at Komatipoort for thirteen years and came back during the

December holidays in 2014 to Serville, his home town. Loveday wants to start a

garden service business in July 2015. He would employ two assistants to assist

him.

2.1.1 Use the givenANNEXURE Atocalculate the missing values of A, B, C, D,

and E. (10)

2.1.2 For how manymonths is this quotation valid? (2) 2.1.3 Write down the quotation number Loveday will have to use if he decides

to buy the equipment.

(2)

2.1.4 The two stroke oil is sold in bottles of 200 mℓ. Convert this volume to

litres. (N.B 1ℓ = 1000 mℓ.)

(2)

2.2 Loveday did not have enough money to buy materials from Manyeleti Hardware

Store. He therefore went to ZAMAZAMA bank to borrow R6 500. He was offered

this loan at 8,5% compounded annually for 2 years. Calculate the total amount

he will pay in total after two years.

(4)


2.3 The following is a summary of Loveday’s first month’s income and expenses

statement:

TABLE 1: Income and Expenses statement for Loveday’s first month INCOME: R7 200,00 EXPENSES

Salaries: R2 700,00

Petrol: R610,20

Oil: R28,94

TOTAL: R3 339,14

2.3.1 Calculate Loveday’s profit. Use the formula:

Profit = Income – Expenses

(2)

2.3.2 He increased the price of cutting grass per month from R360,00 to

R380,00. Calculate the percentage increase. You may use the following

formula:

% increase =

x 100

(3)

2.4 Loveday need a bakkie to expand his services to other areas. He saw the

following advert in the newspaper.

2.4.1 Calculate the price of this bakkieexcluding VAT. (3)

2.4.2 On inspection he discovered that the bakkie has a 36 litres fuel tank. If

the price of petrol is R13,62 per litre, calculate the cost of filling the tank.

(2)

[30]

R192 600,00 VAT included

Don’t Miss Out


QUESTION 3

Marite High School approached Tukutuku Company to sponsor them with the material

to fence, plant grass on their sports field and also paint the inside walls of one

classroom. The inside walls of a classroom are 6,2 m by 5,1 m and 3 m high. The

caretaker indicates that he will need the following material for the work: Fencing poles,

fencing wire, cement and stone, paint and grass seed.

3.1 To determine how much grass seed they will need the caretaker measure the

length and breadth of the sports field. He measured the length to be 162 m and

the breadth 160 m. Calculate the area where the grass will be planted. Use the

following formula:

Area of a rectangle = length x breadth

(2)

3.2 Calculate the perimeter of the sports field in metres. Use the following formula:

Perimeter = 2 (length + breadth)

(2)

3.3 Determine the number of holes the men will dig of the poles will be planted 2 m

apart. There is a gate of 4 m that will be attached to two poles. Use the formula:

Number of holes =

– 1

(3)


3.4 Calculate the area of the classroom that has to be painted. The area of the door

is 1,71 m2and the area for the windows is 4,875 m2. Use the formula:

Surface area of classroom = 2(l x h) + 2(b xh) – (area of windows + door), where: l= the length of the classroom b = the breadth of the classroom and

h =the height of the classroom

(3)

[10]


QUESTION 4

Piet Retief High School is considering renting a photocopier.

They approach two companies, Irene photocopiers and Toto photocopiers and obtain

the following quotations:

Irene photocopiers:

Rental of R800, 00 per month, which includes 3 000 free copies per month.Thereafter

a charge of 5 cents per copy applies: C = R800 + 0,05(n – 3000)

Toto photocopiers:

Rental of R600, 00 per month, which includes 2 500 free copies per month.Thereafter

a charge of 10 cents per copy applies: C = R600 + 0,1(n – 2500)

TABLE 2: Monthly cost (in rand) of renting a photocopier

Number of copies made(n) 0 2000 2500 3000 4000 6000 P 8000

Irene photocopiers (Cost in rand) 800 800 800 800 Q 950 1000 1050

Totophotocopiers (Cost in rand) 600 600 600 650 750 950 1050 1150

4.1 Determine the missing values P and Q. (4) 4.2 The line graph illustrating the total rental cost for Toto photocopiers has been

drawn on ANNEXURE B. On the same system of axes, draw a line graph to

illustrate the total rental cost for Irene photocopiers.

(5)


4.3 Determine the number of photocopies made if the total rental cost for both

companies is the same.

(2)

4.4 Calculate the differencein costs if both companies make an average of 8 000

photocopies per month.

(2)

[13 ]


QUESTION 5 Consider the route map shown on Annexure C. This map shows the route that can be

travelled between Kimberly and Aliwal North.

5.1 Which city is on the south eastern side of Kimberly? (2)

5.2 What is the distance between Bloemfontein and Smithfield? (2)

5.3 Determine the number of kilometresbetween Reddersburg and Rouxville. (2)

5.4 Which province is displayed by the majority of the towns on this map? (2)

5.5 Koos van der Merwe travelled the distance between Bloemfontein and

Aliwalnorth in his Toyota corolla car for 2 hours and 30 minutes. Calculate the

speed with which he was travelling. Use the formula:

Speed (km/h) =

(4)

[12] TOTAL: 75


ANNEXURE A QUESTION 2 QUOTATION Manyeleti Hardware Stores

CUSTOMER INFORMATION Name: LovedayMathebula Industrial Contactors Gottenburg 1365 Valid until 15/05/2015

200 Mangolombi street Manyeleti 1380 Reg No: 2001/023115/10 VAT No: 8754896368 Tel No : (013) 733 5455 Fax No : (013) 733 8774 E-mail : [email protected] Quotation No: Q00002158 Date: 15/03/2015

SKU Description Quantity Unit Price Total excl VATincl. VAT FG00012 Rake double 3 R 70,17 R 210,51 sided RBC-5622 Brush cutter A_____ R 2 367, 54 R4 735, 08 Ryobi 43cc GRD1234 Bag refuse 3 R28, 06 B_____ Plastic H/D 20 HGF3457 Oil L/Star two 1 R28, 94 R28, 94 Stroke 200 mℓ

TOTAL (excl VAT) C_____ VAT PRICE D_____ TOTAL (incl VAT) E_____ Thank you for your enquiry. Please note that prices are subject to change and availability and may change without notice.Delivery is excluded. Standard terms and conditions apply BANKING DETAILS Phumelela bank Current account number 1314455587 Branch code: 285648

mailto:[email protected]


ANNEXURE B

QUESTION 4.2

NAME OF A LEARNER: _____________________________________________

TABLE 2: Monthly cost (in rand) of renting a photocopier

Number of copies made 0 2000 2500 3000 4000 P 7000 8000

(Cost)Irene photocopiers 800 800 800 800 Q 950 1000 1050

(Cost) Toto photocopiers 600 600 600 650 750 950 1050 1150

Number of copies made

0

200

400

600

800

1000

1200

1400

0 2000 2500 3000 4000 5000 6000 7000 8000

Cost

in R

and


ANNEXURE C QUESTION 5

This memorandum consists of 9 pages.

Symbol Explanation M Method MA Method with Accuracy CA Consistent Accuracy A Accuracy C Conversion S Simplification RT/RG Reading from a Table / Reading from a Graph SF Correct substitution in formula O Opinion / Example P Penalty e.g. for no units, incorrect rounding off etc R Rounding Off

MATHEMATICAL LITERACY PAPER 1

HALF-YEARLY EXAM

MEMORANDUM

GRADE 11

NATIONAL SENIOR CERTIFICATE

Mathematical Literacy / P1 Memo 2 June 2015 NSC

QUESTION 1 [10]

Ques Solution Explanation L

1.1 2 x 15mℓ9M

30mℓ9A 1M multiplying 1A answer

1

Answer only full marks(2)

1.2

9M

= 7,5 tsp9A

OR

1 tsp : 4 people9M

: 20 people

7,5 tsp 9A

1MA multiplying 20 by 1,5then dividing by 4 1A answer

1M ratio 1A answer

1


1.3 °C = (400°F - 32°) 1,89SF = 368 1,8 = 204,44°C 9A = 200°C9A

1SF Substitution 1A Simplification 1A Rounding

2


1.4

kg99M

0,11 kg 9A

2MA dividing by 32,274 1A simplification

1

Answer only full marks (3)


QUESTION 2 [30]

Ques Solution Explanation Levels

2.1.1 A =

9M

= 29A

B = R28,06 x 3 9M

= R84,189A

C= R210,51 + R4735,08 + R84,18 +R28,949M

= R5058,719A

D =

x R5058,71 OR 0,14 x R5058,71 9M

= R708,229A

E = R5058,71 + R708,229M

= R5766,939A

OR

E =

x R5058,71 OR 1,14 x R5058,71 9M

= R5766,939A

1MA dividing 1A simplification

1M multiplying

1A answer 1M adding

1A answer

1M multiplying R5058,71 by 14%

1A answer

1M adding

1A answer

1M multiplying R5058,71 by 114%

1A answer

1

Answers only full marks(10)

2.1.2 299 RD 2A reading from the diagram (2)

1

2.1.3 Q0000215899 RD 2A reading from the diagram (2)

1


2.1.4

ℓ9M

0,2 ℓ9A

1MA dividing by 1000 1A answer

1


2.2

i =

= 0,0859A

Y1(Interest) = 0,085 x R6500

= R552,509M

Y1(total amount) = R552,50 + R6500

= R7052,509A

Y2(Interest) = 0,085 x R7052,50

= R599,46

Y2(total amount) = R599,46 + R7052,50

= R7651,969A

OR

i =

= 0,0859A

Y1 = (0,085 × R6 500) + R6 5009MA

= R7 052,509A

Y2 = (0,085 × R7 052,50) + R7 052,50

= R7 651,969A

1A interest rate

1MAmultiplying 0,085 by R6 500

1A simplification Y1


(4)

1A interest rate

1MA multiplying and adding



3

2.3.1 P = R7200 – R3339,149SF

= R3860,869S

1SF substitution

1A simplification

2



2.3.2 % increase =

x 1009SF

x 1009S

= 5,56%9A

1SF substitution

1Simplification

1A answer

2


2.4.1

x R192600,0099M

R168947,379A

OR

0,877192982 x R192600,0099M

R168947,379A

2M multiplying

1A answer

2M multiplying

1A answer

2


2.4.2 R13,62 × 369MA

=R490,329A

1MA dividing by 36

1A answer

1



QUESTION 3 [10]


3.1 A = 162m x 160m9SF

= 25,92 m29S

1SF substitution

1A simplification (2)

2

3.2 P = 2(162m + 160m)9SF

= 644m9S

1SF substitution

1A simplification (2)

2

3.3 N =

– 19SF

– 1

= 162 – 19S

= 161m9A

1SF substitution

1A simplification

1A answer (3)

3

3.4 SA = 2(6,2m x 3m) + 2(5mx3m)-

(4,875 m2+1,71 m2)9SF

=37,2m2+ 30,6m2– 6,585 m29S

= 61,22m29A

1SF substitution

1A simplification

1A answer (3)

2


QUESTION 4 [13]


4.1 R1000=R800+R0,05(P–3000)9SF

R200 = R0,05 (P – 3000)

4000 = P – R3000

P = 70009A

OR

R1050 =R600+R0,1(P–2500)9SF

R450 = R0,1 (P – 2500)

4500 = P – 2500

P = 70009A

Q = R800+R0,05(4000-3000)9SF

= R8509A

1SF substitution

1A simplification

1SF substitution

1A simplification

1SF substitution

1A simplification

2

Answers only full marks

(4)


4.2

TABLE 2: Monthly cost (in rand) of renting a photocopier Number of copies made 0 2000 2500 3000 4000 6000 7000 8000 (Cost) Irene photocopiers 800 800 800 800 850 950 1000 1050

Marking guideline

¾ 91A plotting (0,800)

¾ 992AANY TWO of followingpoints plotted correctly (4000,850) (6000,950),

(7000,1000), (8000,1050)

¾ 91A Labelling Irene photocopiers

¾ 91A points joined correctly(5 MARKS)

5000 0

100

200

300

400

� �

500

600

1000 2000 3000 4000 6000 7000 8000

700

900

800

1000

1100

1200

Cost

in ra

nd

Number of photocopies made

�

�

�

�

�

Toto photocopiers

� � � � �

� �

Irene photocopiers

9 9

9 9 9

.


4.3 600099RG 2A reading from the graph (2)

1

4.4 R1150 – R10509MA

R1009A

1MA subtraction

1A simplification(2)

1

QUESTION 5 [12]

Quest Solution Explanation Levels

5.1 Bloemfontein99A 2A City(2) 1

5.2 132km 99A

or

297 km - 165 km 9M

= 132 km9A

Or

549 km - 417 km9M

= 132 km9A

2A distance

1M subtraction

1A answer

1M subtraction

1A answer (2)

1

5.3 73km + 38km 9M

= 111km9A

1M adding

1A answer (2)

1

5.4 Free State99A 2A province (2) 1

5.5 Time = 2hrs35min = 2,5hrs9C

Distance = 201km9A

Speed =

=

9SF

= 80,4 km/h9S

OR = 80 km/h

1C conversion

1A distance

1SF Substitution

1A Simplification (4)

2

Documents

MATHEMATICAL LITERACY PAPER 1 HALF-YEARLY EXAM · 1.2 How many beef stock powders will be used to prepare the recipe for 20 people? (2) 1.3 According to the recipe, the oven has to