MARKS: 50 TIME: 1 HOUR

This question paper consist of 8 pages with an Annexure

MATHEMATICAL LITERACY

PAPER 2

HALF-YAERLY EXAMINATION

NASIONAL SENIOR CERTIFICATE

GRADE 10

Mathematical Literacy P2/Grade 10 2 June 2015 NSC

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INSTRUCTIONS AND INFORMATION 1. This paper consists of THREE questions. Answer ALL the questions. 2. Question 3.5 must be answered on the attached ANNEXURE.

Write your name and hand it in along with the rest of your answer scripts.

3. Number the answers correctly according to the numbering system used in this

question paper.

4. An approved calculator (non-programmable and non-graphical) may be used.

5. ALL calculations must be clearly shown.

6. ALL the final answers must be rounded off to TWO decimal places, unless

stated otherwise.

7. Units of measurement must be indicated, where applicable.

8. Diagrams are not drawn to scale.

9. Start each question on a NEW page.

10. Write neatly and legibly. QUESTION 1

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The plan below shows the layout of a shopping mall. Some of the shops are described

with symbols. The scale of the plan is 1 : 400.

KEY: v Family Clothing

Store

Furniture store

® Pharmacy

h Fitness centre

Stationery shop

Description?

Coffee shop

# Hardware store

Cell phone shop

� Computer shop 1.1

Provide an appropriate description for shop number one.

(1)

1.2 Marc is at the hardware store and he wants to go to the bank. Write down

directions describing how Marc must walk from the moment he exits the

hardware store at A to the entrance B of the bank. Your directions must

provide the shortest distance.

(4)

1.3 If the distance on the plan from A to B is 11,2 cm, calculate the actual

distance from A to B in m.

(2)

1.4 Use measurement and the scale of the plan to determine the actual length

(4)

Entrance 1 Entrance 2

v

�

h

®

#

Æ

ATM & Bank

A

N

B

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(in m) of the furniture store.

1.5 Critique the numbering system used in the mall and suggest how it can be

improved.

(2)

[13]

Mathematical Literacy P2/Grade 10 5 June 2015 NSC

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QUESTION 2 2.1

The grade 10 learners of Mabona High want to raise funds for charity. They decide

on baking ginger snaps to sell during sports events at their school. The ingredients of

the recipe and a conversion table are shown below. The learners have only an

ordinary cup and a teaspoon to measure with.

2.1.1 How many cups of flour will be needed to make 5 dozen ginger snaps? (2) 2.1.2 Determine how many teaspoons of ground ginger is needed for 5 dozen

ginger snaps.

(2)

2.1.3 If the learners decide to make 10 dozen ginger snaps, how many cups

of butter will they need?

(3)

2.2 The learners want to make up packets containing 6 gingers snaps each. They

make a mixture of ingredients in which they use a half litre of milk. Thabo

calculates that they will be able to make 50 packets, each containing 6 ginger

snaps, with this mixture. Is Thabo correct? Verify your answer with

calculations.

(5)

2.3 A soccer match at the school started at 14:30. The first half of the match lasted

for 45 minutes and 4 minutes were added for injury time before the half-time

whistle blew. Half-time lasted for 15 minutes and the final whistle after the

second half blew at 16:23.

The captain of the losing team complained that the second half lasted less

than 45 minutes and that they were robbed of a chance to equalise the score.

Is the captain correct? Justify your answer with calculations.

(5)

[17]

INGREDIENTS FOR 5 DOZEN GINGER SNAPS 500g flour 125g butter 250g sugar 1 egg 250 g syrup 12 tablespoon ground ginger

10 ml baking soda 125 ml milk 14 teaspoon salt

Table of conversions 250 ml = 1 cup 5 ml = 1 teaspoon 212 teaspoons = 1 tablespoon

20 tablespoons = 1 cup 250g butter/sugar/syrup = 1 cup 250 g flour = 2 cups

Mathematical Literacy P2/Grade 10 6 June 2015 NSC

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QUESTION 3 The Principal of Mabona High noticed that there are many leaking water taps in the school.

He called Mbele Plumbing to repair the taps. Shown below is the invoice from Mbele

Plumbing with some information missing.

The Principal drew up the following table in order to make sense of the invoice:

INVOICE

Travel cost

Material

Labour cost:

R185,00 per hour

= ------------------------------

R 120,00

80,00

-------------

TOTAL: R

Time worked (in hours) 0 1 2 3 4 B Total cost (in rand) 200 385 570 A 940 1 310

3.1

Explain how the Principal calculated the amount of R200 for zero hours

worked.

(2) 3.2 Write down a formula that can be used to calculate the total cost (C) for the

number of hours (n) worked if the travel and material costs stay the same.

(3)

3.3 Calculate the value of A in the table. (2) 3.4 Calculate the value of B in the table. (3) 3.5 Use the grid provided on the Annexure to draw a line graph of the information

in the table. Label the axes clearly and provide a heading.

(5)

3.6 The municipality where Mabona High is situated has the following water tariffs

for schools:

Tariff (R/ kl) Consumption up to 200 kilolitre 13,81 Consumption exceeding 200 kl 14,81

Calculate the cost of water if the school uses 354 kl in a particular month.

(4)

14 May 2013

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3.7 Apart from repairing leaking taps, name one other strategy that the Principal

can follow in order to save water at the school.

(1)

[20] TOTAL [50]

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ANNEXURE NAME: ................................................. Question 3.5

0

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0 1 2 3 4 5 6 7 8

MARKS: 50

This memorandum consist of 4 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 2

HALF-YEARLY EXAMINATION

MEMORANDUM

GRADE 10

NASIONAL SENIOR CERTIFICATE

Mathematical Literacy P2/Grade 10 2 June 2015 NSC

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QUESTION 1 No. Solution Explanation 1.1 Any one of:

Grocery Store; Supermarket 9 1 A

1.2 When Marc exits the hardware store at A he must turn to his right (or west) 9 and enter the mall at Entrance 2. 9 He must turn left (west) at the coffee shop 9 and proceed until he sees the bank on his left. 9

1 Direction to when exiting hardware store 1 Using Entrance 2 1 Turning left at Coffee shop 1 Location of bank on his left

1.3 11,2 cm x 400 = 4 480 cm 9 = 44,8 m 9

1 M multiplying by 400 1 Converting to m

1.4 Length of furniture store on plan = 29 mm 9 Actual length of store = 29 mm x 400 9 = 11 600 mm 9 = 11,6 m 9 TEACHERS MUST CHECK MEASUREMENT ON FINAL PRINTED COPY!!

1 Measurement on plan (Accept a variation of 1 mm up or down) 1 MA multiplying by 400 1 CA 1 Converting to m

1.5 There is no number 17 9and that can confuse customers. They must change shop 18 to 17 and then proceed with the numbering so that the last shop (34) will be 33. 9 Or: The Promotions Office and the toilets are not numbered. They must also provide numbers for these rooms.

1 Providing a “fault” 1 Suggesting an improvement

Total Question 1: [13] QUSETION 2 No. Solution Explanation

2.1.1 250g of flour = 2 cups x2 9 500g of flour = 4 cups 9 OR: 250 g flour = 2 cups 125 g flour = 1 cup 500 ÷ 125 = 4 cups

1 M 1 A

2.1.2 tablespoon ground ginger needed for 5 dozen

of 2

teaspoons 9ground ginger is needed for 5 dozen

= 1

teaspoons 9

1 M seeing that 1 tablespoon is 2 teaspoons

1 CA

2.1.3 Recipe must be doubled for 10 dozen 1 M multiplying by 2

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They will need 125g x 2 9 = 250 g butter 9 = 1 cup 9

1 CA answer in g 1 Converting to cup

QUESTION 3 No. Solution Explanation 3.1 R200 is made up out of R120 travel cost 9and R80 for

material. 9If the plumber travelled to the school and has not yet worked any hours, the R200 must still be paid.

2 Correct explanation

3.2 C = R200 + n x R185 9 9 9

1 R200 1 + sign 1 n x R185

3.3 A = R200 + 3 x R185 9 = R755 9

1 SF 1 CA

3.4 R1 310 = R200 + n x R185 9 R1 110 = n x R185 (B) n = R1 110 ÷ R185 9 = 6 9

1 SF 1 Manipulation of formula 1 CA

2.2 If they use a half litre (500ml) of milk, it means the recipe was made four times. 9 4 x 5 dozen ginger snaps = 4 x 5 x 12 240 ginger snaps 9 240 ÷ 6 9 = 40 packets 9 can be made up out of the mixture Thabo is not correct 9

1 M recipe 4 times 1 MA Using dozen concept to find number of snaps 1 MA division by 6 1 CA 1 Conclusion

2.3 The first half started at 14:30 and ended at (14:30 + 45 + 4) min = 15:19 9 Half time started at 15:19, lasted 15 min, therefore ended at 15:34 9 Time elapsed from 15:34 to 16:23 16:23 – 15:34 9 15:83 – 15:34 = 49 minutes 9 The captain is not correct, since the second half lasted more than 45 minutes. 9

1 M Calculating starting time of half-time 1 M Calculating starting time of second half 1 MA subtracting 1 CA 1 Conclusion

Total Question 2: [17]

Mathematical Literacy P2/Grade 10 4 June 2015 NSC

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3.5

1 Heading 1 Axes’ labels 1 Starting point (0;200) 1 Any other point 1 Joining with straight line

3.6 Cost of water = 200 x R13,81 9 + 154 x R14,81 9 = R2 762 + R2 280,74 9 = R5 042,74 9

2 M using correct values 1 Simplification 1 CA

3.7 Any one of: Repair leaking toilets Teach learners to close taps properly Put up posters Any sensible strategy

1 A

Total Question 3: [20]

GRAND TOTAL 50

0

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1400

0 1 2 3 4 5 6

Cost

in R

and

Number of hours worked

Total cost for repairing taps