JUNE 2013
MATHS LITERACY PAPER TWO GRADE 11
TIME: 1½ HOURS MARKS: 75
Examiner: B Morgan Moderator: K.G.Pillay
INSTRUCTIONS AND INFORMATION
1. This paper consists of 5 questions and 13 pages (7 of which are annexures). 2. Number the questions correctly according to the numbering system used in this question paper. 3. Start EACH new question on a new page. 4. An approved calculator (non-programmable and non-graphical) may be used unless otherwise stated. 5. ALL working MUST be clearly shown especially for questions worth more than 2 marks. Marks will not be allocated if the working is not shown. 6. Round off correct to TWO decimal places, where necessary, unless otherwise stated. 7. Units of measurement MUST be indicated where applicable. 8. Write neatly and legibly. 9. Sketches are NOT drawn to scale
QUESTION 1 Grade 11 Maths Lit June 2013 Set By BM Page 1 of 13 The Grade 11 co-ordinators of Happy High will be planning the matric bonding tour to Sun City next year. One of their first considerations is to work out a budget so that the students can start saving.
1.1 The matric group will fly into Lanseria Airport and travel by bus (125 km) to Sun City. Ms Night obtains the quotes seen on Annexure 1 for the hire of buses. Ms Night, being a Maths Teacher decides to summarise this information on a graph. (see Annexure 2)
1.1.1 Calculate (showing working) the cost of hiring one bus from (4) Brilliant Buses for the trip from Lanseria to Sun City.
1.1.2 Which graph, that of Company A or of Company B, shown on (2) Annexure 2, applies to Classy Coaches?
1.1.3 Give the values of break-even point for the two graphs on (2) Annexure 2.
1.1.4 Which company offers the better deal on hiring one bus to Sun City? (2)
1.2 There are currently 110 Grade 11 students. Ms Night assumes that 90% of the students will go on bonding tour to Sun City next year. The school will also send 1 teacher for every 10 students or part there-of, to Sun City. Students and staff will travel by bus to Sun City (see Annexure 1).
1.2.1 How many students are expected to go on the Sun City trip? (3) 1.2.2 How many buses must be hired for the trip? (4) [17]
Grade 11 Maths Lit June 2013 Set By BM Page 2 of 13 QUESTION 2
Managing the finances of the bonding tour is a responsible position.
2.1 Below is the budget presented to the Happy High financial department prior to
the 2013 matric group’s Sun City tour.
Budget for the 2013 Sun City bonding tour. Item Cost Flights 204 000 Bus 120 000 Accommodation 225 000 Group supper 20 000 Miscellaneous 15 000 Total school must collect from students.
If the total cost for the tour was to be shared equally between the 95 students expected to attend, calculate what the school should have charge each student for the Bonding Tour. Give your answer correct to the nearest R10.
(4) 2.2. Each student is asked to prepare their own personal budget regarding additional items for the tour.
Item Amount Food costs at Sun City
Entertainment R2 000
Total
The staff handed out a sheet showing the estimated cost of meals. See Annexure 3. Amy’s proposed meal schedule is also shown on Annexure 3.
Grade 11 Maths Lit June 2013 Set By BM Page 3 of 13 Using the information on Annexure 3, calculate how much Amy should budget for food. (5)
Grade 11 Maths Lit June 2013 Set By BM Page 4 of 13 2.3
One of the activities offered at Sun City is a ride on the longest Zipline in the world. The Zipline is 2km long and 280m high. Calculate how far it is from the bottom of the hill to the end of the Zipline. See the sketch below. Use Pythagoras’ Theorem.
Pythagoras Theorem:
(4) 2.4 Convert the length of the Zipline to miles.
(4) [17]
Grade 11 Maths Lit June 2013 Set By BM Page 5 of 13 QUESTION 3
Gabriel owns a business making muffins.
3.1 Consult the graph on Annexure 4. Use the information to answer the following questions.
3.1.1 What are Gabriel’s fixed weekly costs? (2) 3.1.2 How many muffins must he sell per week to break even? (2) 3.1.3 What does Gabriel charge for one muffin? (3) 3.1.4 By calculation find Gabriel’s income on 90 muffins. (2) 3.1.5 Using values you read off your graph, calculate Gabriel’s profit if he sells 110 muffins per week.
Weekly profit = weekly income – weekly expenses. (3)
3.2 Gabriel reads the following definition of inflation:
He then looks up the inflation rate for South Africa over the past seven years. This information will apply to the price of flour over the past 7 years. He finds the graph shown on Annexure 5.
3.2.1 Would the price of flour have increased or decreased between 2010 and 2012? Give a reason for your answer. (2)
3.2.2 Discuss the trend in the inflation rate over the past seven years? Give a reason for your answer. (3)
3.2.3 Mention 2 factors that can influence the inflation rate. (4)
Grade 11 Maths Lit June 2013 Set By BM Page 6 of 13 [21]
Grade 11 Maths Lit June 2013 Set By BM Page 7 of 13 QUESTION 4
Betty has invested R5 000 for a year. The interest rate is quoted as being 7,2% per annum, compounded monthly. Consult the table on Annexure 6.
4.1 Show how the monthly interest rate of 0,6% is calculate. (2) 4.2 Calculate the missing values A, B and C. (6)
[8] QUESTION 5
5.1 Dr Metcalf lives and works in Cape Town. He is scheduled to attend a medical conference in George as a guest speaker at the gala dinner on 22 June 2013. The dinner starts at 18h00. Dr Metcalf must do his hospital round, taking 45 minutes, after 07h30 on the 22 June 2013, before he flies to the conference. The airport is a 30 minute drive from the hospital. He must fly back on the day after the dinner to be back at hospital by the evening rounds at 17h00. The conference venue is 10 minutes away from George airport. The travel agent reminds Dr Metcalf that he must check in at the airport at least one hour before the departure of both his flights. A calendar for June 2013 and the flight schedule for SA Airlink’s Cape Town / George route is on Annexure 7.
5.1.1 How long is the flight to George? (2) 5.1.2 Give the flight number for Doctor Metcalf’s flight to George. Full marks will NOT be awarded for answers only. (3)
5.1.3 Give the flight number for Dr Metcalfe’s flight home on the 23June. What is the latest time that he can leave the conference venue to (3) catch the flight?
5.1.3 What is the average speed of the aircraft, in km/h, if the flight distance is 417 kilometres? Work correct to the nearest whole number. (4)
[12]
Grade 11 Maths Lit June 2013 Set By BM Page 8 of 13 ANNEXURE 1
BRILLIANT BUSSES.
CLASSY COACHES
Grade 11 Maths Lit June 2013 Set By BM Page 9 of 13 ANNEXURE 2
ANNEXURE 3
Sun City catering Sheet
Question 2.2
Table of estimated costs of meals at Sun City
Breakfast Lunch Supper Catering yourself in R20 R30 R50 the chalet Eating out R40 R60 R120
Amy’s proposed meal schedule
Monday Tuesday Wednesday Thursday Friday Breakfast n/a eat in eat in eat out eat out Lunch eat out eat out eat out eat in n/a Supper eat in eat out eat in n/a n/a n/a means not applicable
Grade 11 Maths Lit June 2013 Set By BM Page 10 of 13 Grade 11 Maths Lit June 2013 Set By BM Page 11 of 13 ANNEXURE 4
QUESTION 3.
ANNEXURE 5
Grade 11 Maths Lit June 2013 Set By BM Page 12 of 13 ANNEXURE 6
QUESTION 4.2
Monthly compound Amount in the account Amount of interest for Total in the account at Month interest rate at the beginning of the the month the end of the month month 1 0,6% R5 000 R30.00 R5030.00 2 0,6% R5 030 R30.18 R5 060.18 3 0,6% R5 060.18 R30.36 R5 090.54 4 0,6% R5 090.54 R30.54 R5 121.08 5 0,6% A B C
Grade 11 Maths Lit June 2013 Set By BM Page 13 of 13 ANNEXURE 7
QUESTION 5
Schedule for SA Airlink’s Cape Town/George route:
FLIGHT DEPARTURE ARRIVA Scheduled flights ROUTE L SA8621 Cape George 07:15 08:05 1 2 3 4 5 Town SA8625 Cape George 09:30 10:20 6 Town SA8639 Cape George 13:30 14:20 1 2 3 4 5 6 7 Town SA8635 Cape George Town 16:45 17:40 1 2 3 4 5 7
SA86622 George Cape Town 08:30 09:20 1 2 3 4 5 SA8630 George Cape Town 10:45 11:35 6 SA8638 George Cape Town 14:45 15:35 1 2 3 4 5 6 7 SA8636 George Cape Town 18:10 19:05 1 2 3 4 5 7 NOTE 1=Monday 2 =Tuesday etc
Grade 11 Maths Lit June 2013 Set By BM Page 14 of 13