Mathematical Literacy Paper 1 (English)

Feb-March 2013 — Grade 12 / Matric — Mathematical Literacy

Past Paper 2013 Grade 12 English Mathematical Literacy Hub →

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🎯 150 marks 📄 18 pages 📝 88 items found ∑ 1 math symbols 📚 6 topics 🔑 2 key info

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Q3— Section header —

Q1— Section header —

1.11.1.1 Simplify: 43 (1,764 + 2,346 \

1.1.2Write 6,25% as a common fraction. (2\

1.1.3Convert 1 260 seconds to hours. (2\

1.1.4Determine the price per gram (rounded off to the nearest cent\f 200 g of peanuts cost R9,96.

1.1.5

1.2Maxine Fraser plans to bake 12 dozen pea nut butter cookies. She will use a recipe in imperial units. The cookies are baked at 360 F for 20 minutes. Ingredients (to make 3 DOZEN\ cup peanut butter 4 ounces butter

1.2.1cup to millilitres. (2\

1.2.2Convert 5 ounces to grams. (2\

1.2.3Convert 360 C, rounded off to the nearest 10 Use the formula: Temperature in C =

1.2.4Calculate how many grams of cake flour are needed to make 12 dozen cookies.

1.3In most countries there is generally an annual increase in health care costs. The bar graph below shows the annual percentage increase in health care costs for eight countries from 2009 to 2011. China

1.3.1Give India's percentage increase in health care costs during 2010. (2\

1.3.2Which country's percentage increase in health care costs was 8% during 2010?

1.3.3Identify the country which had the highest percentage increase in health care costs during 2009.

1.3.4Which country showed a decrease in health care costs from 2009 to 2011? (2\

Q2— Section header —

2.1Thabo Mkhize is a businessman who vi sits various capital cities in Africa. TABLE 1 below shows the exchange rate between eleven African currencies, United States dollar (US$\ the South African rand (ZAR\

2.1.1Which country had an exchange rate of US$ 0,012040 to ONE unit of its currency?

2.1.2Which of the currencies above gives you the largest amount in US$ for ONE unit of the currency?

2.1.3Thabo's accommodation in Zambia costs 25 976,87 kwacha. Convert this amount to US$.

2.1.4Thabo bought goods in Ghana to the value of 1 345 cedi. Calculate the value, in rand, of the goods Thabo had bought.

2.2Navin's company collected information during 2011 relating to the cost of producing television advertisements. The company released the following information: 640 advertisements were produced in 1 760 shoot days*.

2.2.1Calculate the average number of shoot days it takes to produce ONE advertisement.

2.2.2Calculate the total cost of produci ng advertisements in high definition if the cost per advertisement is the same as the average cost.

2.2.3Determine how many advertisements were NOT produced in high definition.

2.2.4In 2011, the hiring cost of equipment used for the filming of one television advertisement was 16% of the cost of producing the advertisement. Calculate the hiring cost during 2011.

2.2.5The average cost of producing an advertisement in 2011 was 40% more than the average cost of producing an advertisement in 2005. Calculate the average cost of producing an advertisement during 2005.

2.3Mr Buthelezi installed a circular window in the centre of a square wall, as shown in the diagram below. He intends painting the wall. The diameter of the circular window is 144 cm. The length of each side of the square wall is 230 cm.

2.3.1Determine the length of the radius of the window. (1\

2.3.2Determine the value of in centimetres. (3\

2.3.3Calculate the circumference of the window. Use the formula: Circumference of a circle , where d = the diameter of the window, and using = 3,14

2.3.4Calculate the area of the wall that he needs to paint. Use the formulae: Area of a circle = 22d Area of a square = = diameter of the circle, and using = 3,14, = length of the side of the square 230 cm

Q3— Section header —

3.1Nandi is considering changing her hairstyle a nd visits a local hair salon to determine the cost of styling her hair. She has a choice be tween hair extensions or hair relaxing. The pictures below compare rela

3.1.1Calculate the cost of hair relaxing for the first four weeks. Use the formula: Cost for the first four weeks (in rand\(3 cost of a hair wash\

3.1.2Calculate the cost of hair extensions for the first four weeks. Use the formula: Cost for the first four weeks (in rand\(3 cost of a hair wash\ Original hair Hair extensions Original hair Relaxed hair

3.1.3Nandi wants to convince her father that in the long run, the cost of hair extensions be cheaper than the cost of hair relaxing. The accumulated cost for each choice over a 37-week period is given in the table

3.2The moisturising gel that the hairdresser uses when relaxing hair is sold in cylindrical containers with a volume of 500 m and a radius of 4,5 cm.

3.2.1The hairdresser needs to calculate the height of each container in order to determine how many containers she can stack on a shelf. Calculate the height using the following formula: Height of a container =

3.2.2The wholesalers have a promotion on the moisturising gel. They are now selling of the moisturising gel for the same price as 500 m of the same gel. Calculate the percentage increase in the volume of the moisturising gel using the

4.12010. 15% 17%

Q4— Section header —

4.1.1Determine the percentage RDP houses built during 2010. (2\

4.1.2In which year was the smallest percentage of RDP houses built? (1\

4.1.4Determine the number of RDP houses built during 2005. (3\

4.1.3

4.2A construction company who built a number of RDP houses employed workers for 8 hours per day working a 5-day week. They were paid a normal rate of R40 per hour.

4.2.1

4.2.2The owner paid the employees an overtime rate of R50 per hour. (a\Write the ratio of the overtime rate to the normal rate in simplified form. (b\If one of the employees receiv ed R350 for overtime worked in a

4.2.3Ferdi planned to take 2 hours unpaid leave, but still wanted to earn a weekly wage of R1 920. If he worked 38 normal working hours, calculate how many hours he had to work overtime to earn this wage. Use the formula:

4.3The construction company decided to donate a new swing, slide and merry-go-round for the park next to the RDP houses. The sketch below shows the layout of the park.

4.3.1Use the layout above to answer the following questions: (a\Which games are normally played on the open field? (1\ (b\Which entrance is north of Parking area 1? (1\ (c\What playground equipment is situated in the south-eastern corner

4.3.2A teacher drew a scale drawing of the park using the scale 1 : 250. If the actual length of Parking area 2 is 15 m, determine the length (in cm\ Parking area 2 on the teacher's scale drawing.

4.3.3The children using the slide, slide into a rectangular sandpit, as shown in the picture alongside. The length of the sandpit is 2,5 m and its width is 1,5 m. The sandpit is filled with sand to a depth

Q5— Section header —

5.1Mrs Botha conducted a survey each day for a week to determine the approximate number of minutes that her Grade 8 and Grade 12 learners watched television. She recorded the results (in minute s\y as follows:

5.1.1Determine the sample size of the survey. (2\

5.1.2How many learners did not watc h any television during the week? (1\

5.1.3Calculate the range of the time spent by the Grade 8 learners watching

5.1.4Write down the modal time the Grade 8 learners spent watching

5.1.5Determine the median time the Grade 8 learners spent watching

5.1.6Calculate the average (mean\ime the Grade 12 learners spent watching

5.1.7One of the Grade 12 learners is randomly selected. Determine the probability that this learner spent 45 minutes daily watching television.

5.2Mrs Botha prepared a training route for the cross-country athletes. Malindi, one of the athletes, left the school grounds, ran for 2 km and then returned to the school grounds. She rested on her run from school, but ran at a constant pace on her trip back to school.

5.2.1Exactly how many minutes did the training session last? (1\

5.2.2Determine the total distance (in km\that Malindi ran. (2\

5.2.3How far from school was Malindi after she had run for 12 minutes? (2\

5.2.4How many times did Malindi rest during the training run? (2\

5.2.5After how many minutes was Malindi a distance of 1 km from the school? (2\ tour:

Q6— Section header —

6.1Refer to the map on ANNEXURE B and answer the following questions:

6.1.1Write down the cut-off time at Boyes Drive. (1\

6.1.2Identify TWO sponsors indicated on ANNEXURE B for this cycle tour. (2\

6.1.3According to the map, if a cyclist reaches Perdekloof, he/she still has to cycle 52,2 km to finish the cycle tour. How many kilometres has he/she already cycled? (2\

6.1.4If a cyclist has only 30 km left to complete the cycle tour, what was the last cut-off point that he/she has passed? (2\

6.1.5Determine the distance between the Steenberg cut-off point and the Noordhoek cut-off point. (2\

6.1.6Determine the time (in hours\ will take a cyclist to finish the cycle tour if his/her average speed for the whole cycle tour was 15,9 km/h. Use the formula: speed averagecovereddistance (2\

6.2Reinhardt Janse van Rensburg won the cycle tour in 2012 in a time of 2:36:17. In the previous six years, the winners finished the cycle tour in the following times: 2:39:55 2:37:50 2:34:28 2:29:59 2:31:57 2:39:35

6.2.1Arrange the times for the past seven years in ascending order. (2\

6.2.2Convert Reinhardt Janse van Rensburg's winning time to seconds. (2\

6.3A cyclist is advised to drink at least 0,5 of water for every hour cycled. The water bottle that he uses is mostly cylindrical. The radius ( \cylindrical part of the water bottle is 3,25 cm and it is filled with water to a height (

6.3.1Determine the minimum volume of water the cyclist must drink if he/she cycles for 7 hours. (2\

6.3.2Determine the surface area of th e cylindrical section of the water bottle. Use the formula: Surface area of the cylindrical section = , using = 3,14 where is the radius and is the height (2\

6.3.3A cyclist decides to use a bi gger bottle with a volume of 750 m How many 750 m bottles of water will be needed if he/she uses a total of 4 200 m of water? (3\ TOTAL: 150 h Water level

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Q6— Section header —

Mathematical Content

Topics Identified

AlgebraGeometryTrigonometryAnalytical GeometryStatisticsProbability

Mark Allocation

Total150 marks

Sections28 + 29 + 23 + 25 + 23 + 22 = 150 marks

Per-question sum73 marks

Key Information

Contact Number0481216202 · 0 051015202

Websitewww.coinmill.com · www.cpasa.tv

Paper information

SubjectMathematical Literacy

Year2013

SessionFeb-March

TypePast Paper

PaperPaper 1

LanguageEnglish

Pages18

Downloads4

Examination context

Decade2010s

Years ago13y

Season—

Start day—

Exam period—

Days since exam—

About Mathematical Literacy examination preparation

Grade 12 Mathematical Literacy applies mathematical ideas to everyday situations. Paper 1 covers basic calculations and financial mathematics, while Paper 2 tests data handling, measurement, and multi-step problem-solving.

Every available Grade 12 Mathematical Literacy past paper and memorandum is collected in the Mathematical Literacy hub at mathematical-literacy.freemode.co.za — browse all years, sessions and languages in one place.

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interpreting real-world information

working with tables and graphs

financial and quantitative reasoning

using appropriate calculations

communicating answers clearly

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Always check units and ensure your final answer makes sense in context. Underline key information in the question before attempting any calculation.

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Corresponding marking memorandum

Marking memorandum available

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