Maths Literacy Paper One

Maths Literacy Paper One

JUNE 2013

MATHS LITERACY PAPER ONE

GRADE 11

TIME: 1½ HOURSMARKS: 75

Examiner: B Morgan Moderator: K.G.Pillay

INSTRUCTIONS AND INFORMATION

  1. This paper consists of 6 questions and 13 pages.
  2. Questions 1.1.2; 1.3.1 1.3.2 and 1.3.3 must be answered on the attached annexures. The annexures must be handed in with your answer booklet.
  3. Number the questions correctly according to the numbering system used in this question paper.
  4. Start EACH new question on a new page.
  5. An approved calculator (non-programmable and non-graphical) may be used unless otherwise stated.
  6. ALL calculations MUST be clearly shown.
  7. Round off correct to TWO decimal places, where necessary, unless otherwise stated.
  8. Units of measurement MUST be indicated where applicable.
  9. Write neatly and legibly.
  10. Sketches are NOT drawn to scale

QUESTION 1
1.1 / Air travel is becoming an increasingly popular and affordable way to travel.
OR Tambo International Airport in Johannesburg handled 8,6 million departing travellers annually in 2008. This figure has been increasing at about 2,9% per annum during the past 5 years.
To find the number of departing travellers expected in the following year the formula used is :
)
1.1.1 / Find the value for 2010 showing working. Then fill it in on the table on Annexure 1. / (3)
1.1.2 / Draw a line graph on the given set of axes on Annexure 1 to represent this information. / (3)
1.2 / The following table shows the parking tariffs for a short stay parking garage at OR Tambo International airport.
SHORT STAY PARKADE
OR TAMBO INTERNATIONAL
TIME / COST (in Rands)
0-1 hours / 15
1-2 hours / 20
2-3 hours / 30
3-4hours / 40
4-6 hours / 70
6-8hours / 100
8-16hours / 130
16-24 hours / 140
1.2.1 / What would a customer be charged who parked for 2 hours 10 minutes? / (2)
1.2.2 / Abram entered the garage at 07:53am and departed at 3:22pm. Calculate his parking fee. / (3)
1.3 / Many travellers hire a taxi from the airport to Sandton City. Two different companies offer different price structures.
Ben’s Taxis:
They charge R15 per kilometre.
Charlie’s Cabs:
They charge a once off amount of R25 when you hire them,
(called a “fall of flag fee”). You also pay R14 per kilometre. The equation that can be used to help work out the total cost of hiring the taxi can be written as follows:
Total Cost = R25 + R14 x number of kilometres travelled.
1.3.1 / Complete the table for Charlie’s Cabs on Annexure 2. / (3)
1.3.2 / Draw a graph of Charlie’s Cab’s on the set of axes on Annexure 2. Label your graph Charlie’s Cabs. / (3)
1.3.3 / After how many kilometres is the cost of the two taxis the same? Either indicate in your graph where you read off your answer or show by calculation how you arrived at your answer. / (2)
1.3.4 / If a tourist wishes to travel to Sandton from the airport, which is 33 km away from O.R.Tambo, which would be the better company to use and why? / (2)
[21]
QUESTION 2
2.1 / Do the following conversions:
2.1.1 / Convert 436mm to cm. / (1)
2.1.2 / Convert 1,2 litres to millilitres. / (1)
2.1.3 / Convert 465gm to kg. / (1)
2.1.4 / Convert 3,5 minutes to seconds. / (1)
2.1.5 / Convert 2060 cm2 to m2. / (2)
2.2 / Read the Fast Facts on Antarctica on Annexure 3.
Use the conversion tables and formula given below. Give all your answers correct to the nearest whole number.

Imperial / Metric / Metric / Imperial
1 inch / 2,54 cm / 1 km / 0,621371 miles
1 foot / 0,33333metres
2.2.1 / Give the average temperature for Antarctica in winter in . / (2)
2.2.2 / The highest wind speeds ever recorded on earth were in excess of how many miles / hour? / (2)
2.2.3 / The average precipitation in Antarctica is less than how many centimetres per year? / (2)
2.2.4 / Convert the height of Vinson Massif to feet. / (3)
2.2.5 / Express the number of people staying at Sanae during the summer as a percentage of the total number of people on Antarctica during summer. / (3)
2.3 / Consider the recipe for Elaine’s Banana Bread on Annexure 4. Use the following conversions.

Convert the amount of lemon juice needed to teaspoons. / (2)
[20]

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QUESTION 3
Clive is a varsity student. Before he goes to varsity, he and his parents draw up the following budget of his monthly expenses as part of the family’s financial planning routine.
Monthly Budget Clive
Item / Amount (in Rands)
Petrol / 700
Food / 2800
Gym / 350
Entertainment / 600
Text Books / 300
Total
Clive’s parents asked him to keep an income- and- expenditure statement during his first month at university. The income and expenditure statement is below.
Income and expenditure statement for February
Income / Expenditure
Item / Amount / Item / Amount
Money from parents / R4 500.00 / Petrol / R650.53
Present from his aunt / Food / R2997.54
Gym / R350.00
Entertainment / R688.50
Text Books / 0
Total / R5330.00 / Total
3.1 / What was the total amount Clive would need per month according to his budget? / (2)
3.2 / Can you think of any item that has NOT been budgeted for? / (1)
3.3 / Give the total of Clive’s expenditure for the month. / (2)
3.4 / How much money did his aunt send him? / (2)
3.5 / Do you think Clive is using his money wisely? Make at least one suggested change that Clive should make to his spending patterns in March. / (2)
[9]
Question 4
Water tariffs are charged incrementally. This means that different portions of the usage amount are charged at different rates.
The table below shows the monthly tariffs charged to domestic household in the EThekwini municipality.
Water used in kilolitres (kl) / Cost per kl
0 to 9 / R9.50
9,1 to 25 / R11.22
25,1 to 30 / R14.95
30,1 to 45 / R23.05
in excess of 45 / R25.36
4.1 / How much would a household using 8 kl per month pay for water? / (3)
4.2 / How much would a household using 26 kl per month pay for water? / (4)
[7]
QUESTION 5
Consider the table (on Annexure 5) indicating some of the fees payable on all Smart accounts with FNB.
5.1 / What would a customer pay for a mini statement using cellphone banking? / (2)
5.2 / Calculate the fee payable on a cash deposit of R500.00 at an FNB ATM. / (3)
5.3 / Calculate the fee payable on a cardless cash withdrawal of R2 400. / (4)
[9]
QUESTION 6
Roelof wants to buy a 7- piece patio set on hire purchase. He sees one advertised for R13 999.00. He does not have the cash and investigates the hire purchase option. He is expected to pay a 17,5% deposit and he must make monthly repayments of R699.55 for 30 months.
6.1 / Calculate the amount of his deposit. / (2)
6.2 / How much does he owe the store after his deposit is paid? / (2)
6.3 / How much ( in total) does he repay on his instalments? / (2)
6.4 / How much more will he have paid, in total, for the patio set than if he had bought it for cash? / (3)
[9]

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ANNEXURE 1NAME______

QUESTION 1.1.1 and 1.1.2

Year / 2008 / 2009 / 2010 / 2011 / 2012
Number of departing passengers (in millions) / 8,6 / 8,85 / 9,37 / 9,64

ANNEXURE 2

Question 1.3.1

Distance travelled / 0 / 5 / 10 / 50
Cost ( in Rands) / 25

Question 1.3.2

Annexure 3

Question 2.2

Fast Facts on Antarctica

  • Antarctica wasn't declared a continent until 1840
  • The average temperature in Antarctica in summer is 20°F, while the average temperature in winter is -34.44°C.
  • The coldest temperature ever officially recorded on Earth was -129°F , at Vostok, Antarctica, on July 21, 1983.
  • The average precipitation in Antarctica is less than two inches per year
  • The highest wind speeds in Antarctica were clocked at over 322 kilometers per hour
  • The highest mountain in Antarctica is the Vinson Massif, which is 535 metres high.
  • Ninety-eight percent of Antarctica is ice-covered
  • Antarctica is the world's coldest, windiest, highest, and driest continent.
  • The population of Antarctica varies from 4,000 people in the summer to 1,000 in the winter. South Africa has a base in Antarctica, called Sanae. The base has 60 people staying during the summer.
  • Antarctica is losing ice cover due to global warming, but it is cold enough there that, unlike the Arctic, most of it likely won't melt. Winter ice on the seas may diminish however—a bad thing for penguins

Annexure 4

Question 2.3

ELAINE’S BANANA BREAD

INGREDIENTS

  • 125 gms butter.
  • 250 ml sugar.
  • 2 extra-large eggs, beaten.
  • 500 ml cake flour.
  • 5 ml bicarb.
  • 5 ml baking powder.
  • pinch salt.
  • 250 ml mashed ripe bananas (3-4).
  • 30 ml lemon juice.

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ANNEXURE 5

Fees applicable on all Smart Accounts / Fees
Deposits
Cheque deposits
FNB ATM and FNB branch ( per deposit) / R15.00
Cash Deposits
FNB ATM / 0,7% of value. ( minimum fee R5.50)
FNB Branch / 1,35% of value ( minimum of R20.00)
Purchases
Lotto/Powerball / R1.50
Cardless cash withdrawals / R4.00 +( R6.00 per R500 or part thereof) Maximum fee of R24.00
Statement
Mini-statement ( Cellphone banking) / Free
mini statement ( FNB ATM –view or print) / R1.35
Posted/printed Monthly statement / R10.50 per statement

Grade 11 Maths Lit June 2013 Set by BMPage 1 of 13

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