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This paper consists of 10 pages including cover page and 2 Annexures

MATHEMATICAL LITERACY

PAPER 1

HALF – YEARLY EXAMINATION

GRADE 10

Mathematical Literacy Grade 10 /P1 June 2015 NSC


2

INSTRUCTIONS AND INFORMATION

1. This question paper consists of FOUR questions. Answer ALL the questions.

2 Answer QUESTION 1.2.3 on ANNEXURE A and QUESTION 4.2.1 on

ANNEXURE B attached. Write your name in the spaces provided on the

ANNEXURE. Hand in the ANNEXURES with your ANSWER BOOK.

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

question paper.

4 You may use an approved calculator (non-programmable and non-graphical),

unless stated otherwise.

5 Show ALL calculations clearly.

6 Round off ALL final answers to TWO decimal places, unless stated otherwise.

7 Indicate units of measurement, where applicable.

8 Maps and diagrams are NOT necessarily drawn to scale, unless stated

otherwise.



3

QUESTION 1 Themba owns a construction company. He buy groceries at Sunshine Superette and

cook lunch for his employees every Friday as a token of appreciation of good work.

1.1 Below is the evidence of one of Themba’s transactions at Sunshine supperette

Answer the following questions 1.1.1 What type of document is this? (2)

1.1.2 How much did Themba give the cashier? (2)

1.1.3 Give the date of the purchase. (2)

1.1.4 Calculate the total of the items that are VAT exempted (2)

SUNSHINE SUPERETTE

17 Fitzgerald Street, Belfast Tel: (013) 256-1139 VAT No: 460098760

NLA Reg No: BYT 09800 -------TAX INVOICE-------

RAJAH FLAV MILD 50GR 8.89

KOO BAKED BEANS IN TOMAT 410GR 7.49

NOLA MAYONNAISE 750GR 22.99

SPAR SUNFLOWER OIL 750ML 13.99*

SELATI SUGAR GOLDEN BROW 500GR 6.79

ULTRAMEL CUSTARD VAN 500 500ML 18.99

SPAR IQF MIXED PORTIONS 2KG 48.99*

KNORR S/DRESING LIGHT 34 ML 23.99

KNORR SOUP 50 GR 12.10

PRODUCE SPINACH 1 11.50*

PRODUCE BEET P/P 1KG 10.00

TOTAL FOR 11 ITEMS 185.72 TENDERED CASH 200.00

CHANGE CASH 14.28

SLIP / TILL/ CASHIER / DATE / TIME 9127 231 Sibongile 24/01/2015 12:09



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1.2 Themba make calls to the Supermarket every Thursday to make reservations for

Spinach. He uses Telkom landline phone. Telkom charges are R90 per month

for using a Telkom line and the rate per minute for making a call is R0.35

1.2.1 Write down the formula to represent the scenario.

Monthly payment =

(2)

1.2.2 Use the formula you set up in 1.2. 1 above or other means to complete

the following table.

No. of Minutes 0 10 20 50 90

Cost in Rands 90.00 A 97.00 B 121.50

(2)

1.2.3 Use Annexure A to draw a line graph that represent the information on

the table above.

(3)

1.3 George one of Themba’s employees wants to buy a new Samsung 46”(117cm)

and 3D Blu-ray Home Theatre 5.1 system which was on sale in one of the big

furniture stores as in the pictures below:

Samsung 46 HD LCD TV

Show stopper! Was R8999.99 Now R6999.00*

3D Blu – Ray Home theatre 5.1 system

Show stopper! Was R4499.00

Now R3499.00* *Valid :1 May 2015 – 3 May 2015



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1.3.1 Calculate the total amount George will pay for both items, if he makes the

purchase on the 2nd of May 2015.

(2)

George does not have enough money to buy the items. He decided to borrow

R9 000.00 from a bank to add on what he has been saving before the bargain.

1.3.2 How much money did George saved? (2)

1.3.3 Determine how much George will repay on a loan of R9 000 over a

period of 2 years at a simple interest of 13% per annum.

(3)

[22]



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QUESTION 2 Lindiwe is a grade 10 learner. She walks for 3km from home to school during weekdays. 2.1 Convert Lindiwe’s walking distance to metres (m). (2) 2.2 It takes Lindiwe’s teacher 5 minutes to walk to her classroom. How long does it

take her to walk, in seconds?

(2)

2.3 Lindiwe’s break starts at 10:30 and ends at 11: 20. How long is the break (2) 2.4 Before Lindiwe goes to school she prepares her juice using a measuring jug as

shown below.

2.4.1 What is the major unit of the measuring jug? (2) 2.4.2 How much juice is in the jug (2) [10]



7

QUESTION 3 Henry would like to build her bachelor house that includes bedroom, bathroom and space for

TV and kitchen. He draws a scale diagram of the house as shown below.

3.1 How many windows does the house have? (2)

3.2 In which direction is the entrance door facing? (2)

3.3 On the scale diagram the doors are 17mm wide. What is the actual width of the

doors?

(3)

[7]

N



8

QUESTION 4 4.1 Mrs Mnisi is baking a banana cake for her visitors who would like to eat the cake at

2:30 pm before they leave. At what time must Mrs Mnisi put the cake in the oven so

that it is ready for the visitors if the cake requires 3½ hours to bake?

(2)

4.2 Mr and Mrs Mnisi are a married couple who are planning to have three children.

Their wish is to have two boys and a girl.

4.2.1 Complete the tree diagram in ANNEXURE B to illustrate the possible

outcomes.

(3)

4.2.2 What is the probability that the couple’s wish will be realised? (2)

4.3 Robert buys a new TV cabinet that comes with the following pictorial assembly

instructions:

4.3.1 If the cabinet did not come with screws, how many screws will Robert need

to buy in order to put the cabinet together?

(2)

4.3.2 The assembly diagram does not indicate what tools Robert may need to

assemble the cabinet. List two tools you think he may need to assemble

the cabinet.

(2)

[11] TOTAL: 50



9

ANNEXURE A

NAME: ________________________________________ QUESTION 1.2.3

Cost of calls in Rands

0

10

20

30

40

50

60

70

80

90

100

110

120

130

0 10 20 30 40 50 60 70 80 90 100

Daration of calls (in miminutes)

Cost

(in R

ands

)



10

ANNEXURE B

NAME: _______________________________________ QUESTION 4.2.1

B

B

G

B

G

B

G

BBB

______

B BGB

BGG

__

G

B ______

G GBG

G

GGB

GGG


MATHEMATICAL LITERACY PAPER 1

HALF-YEARLY EXAMINATION

MEMORANDUM

MARKS: 50

This memorandum consists of FOUR pages

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

GRADE 10

Mathematical Literacy Grade 10 /P1 June 2015 NSC/MEMO


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QUESTION 1 [22]

QUESTION SOLUTION(S) Explanation TL 1.1.1 Till slip 99 2O 2) TL1

1.1.2 R20099 2RG (2) TL1

1.1.3 24/01/201599 2RG (2) TL1

1.1.4 Total of items VAT exempted = 13,95 + 48,99

+ 11.509

= R 74.449

1M

1 A

(2)

TL1

1.2.1 Monthly payment = R90 + R0,35 × number of

Minutes 99

OR

Monthly payment = R90 + R0,35 × n, where

n is the number of minutes

1M adding R90

1M multiply n by

R0,35

(2)

TL2

1.2.2

No. of Minutes

0 10 20 50 90

Cost in Rands

90.00 93.50 97.00 107.50 121.50

1A Value of A

1A Value of B

(2)

TL2

1.2.3 Cost in Rands

0

10

20

30

40

50

60

70

80

90

100

110

120

130

0 10 20 30 40 50 60 70 80 90 100

Duration of calls( in Minutes)

Cost ( i

n Rand

s)

1A (0 ; 90)

1A Plotting any two points correctly

1CA joining a line (3)

TL2

1.3.1 Total payment = R 6 999.00 + R3 499.009

= R10 4989

1A adding

1CA total (2)

TL1



3

1.3.2 Amount he has = R10 498 – R9 0009

= R 1 4989

1CA subtract

R 9000

1A amount (2)

(Accept R1 500)

TL1

1.3.3 Interest = 9 000 × 210013

u 9

= R 2 340 9

Total repayment = R9000 + R2 340

= R 11 3409

1A multiplication

1A interest

1A total

repayment (3)

TL2

QUESTION 2 [10]

QUESTION SOLUTION(S) Explanation TL

2.1 3 × 1000 9

= 3000m 9

1A multiply by 1000

1A solution (2)

TL1

2.2 5 × 60 9

= 300 seconds 9

1A multiply by 60

1A solution (2)

TL1

2.3 Break Duration = 11:20 – 10:30 9

= 50 minutes 9

1A subtraction

1A solution (2)

TL1

2.4.1 Cups 99 1A reading (2) TL1

2.5 1 cup 99 1RG (2) TL1

QUESTION 3 [7] (Penalise once for wrong unit)

QUESTION SOLUTION(S) Explanation TL

3.1. Four windows 99 2RG (2) TL2

3.2. East 99 2A (2) TL1

3.3. 1mm : 50mm

17mm : actual

Actual length = mm

mmmm1

1750 u 9

= 850mm 9

850 ÷ 1000

= 0,85m9

1MA multiply

1A actual width

1C (3)

TL2



4

QUESTION 4 [11] QUE

S SOLUTION(S) Explanation TL

4.1 14 h 30 min – 3h 30 min 9= 11 hours

= 11:00

She should put the cake at 11:009

1MA subtraction

1A time (2)

TL2

4.2

4.2.1

1A “ B”

1A “G

1CA “GBB” (3)

TL3

4.2.2 P = 83 99 OR 0,375 OR 37,5% 1A numerator

1A denominator(2)

TL2

4.3.1 12 screws 2A number of

screws (2)

TL2

4.3.2 Screw driver and possibly a hammer. 99 1A Screw driver

1O any other

relevant tool (2)

TL2

G

B

B

G

B

G

B

G

BBB

BBG B BGB

BGG

B

G

B GBB

G GBG

G

GGB

GGG

9

9

9



5

ANSLYSIS GRID

TOPICS TAXONOMY LEVEL

Total Question item Finance

Measure

ment

Maps, plans

Probabil

ity

L 1 %

L 2 %

L %

1

1.1.1 2 2 22 1.1.2 2 2 1.1.3 2 2 1.1.4 2 2 1.2.1 2 2 1.2.2 2 2 1.2.3 3 3 1.3.1 2 2 1.3.2 2 2 1.3.3 3 3

2

10 2.1 2 2 2.2 2 2 2.3 2 2 2.4.1 2 2 2.4.2 2 2

3

3.1 2 2 7 3.2 2 2 3.3 3 3

4

4.1 2 2 11 4.2.1 3 3 4.2.2 2 2 4.3.1 2 2

2 2

TOTAL 22 12 11 5 30 17 3 % 40 24 22 10 60 34 6

GRADE 10 - Best Educationbesteducation.co.za/resources/English/Grade-10/Exam-and-Memos/June... ·...

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