examination preparation for grade 12 mathematical...

for the learner

Examination Preparation for Grade 12

Questions for Teams

Foundational Knowledge for Paper 1 & 2

Mathematical Literacy

Mathematical Literacy Grade 12 Foundation Knowledge Examination Preparation Guidelines

Winning Teams Grade 12 Mathematical Literacy 3 of 30

Maths Lit Foundation Knowledge Grade 12 1. When you multiply a positive number by

a positive number, you get a ______ answer.

2. When you multiply a positive number by a negative number, you get a ______ answer.

3. When you multiply a negative number by a positive number, you get a ______ answer.

4. When you multiply a negative number by a negative number, you get a ______ answer.

LO 1 Question Code A1

Maths Lit Foundation Knowledge Grade 12 When doing calculations with numbers, In what order should you use the following operations?

A. Multiplying and dividing B. Brackets C. Adding and subtracting

LO 1 Question Code A2 Maths Lit Foundation Knowledge Grade 12 Calculate the following:

1. 0,16 as a percentage 2. 19,1% as a decimal fraction

3. as a percentage

4. 56% as a fraction out of 40

1 minute


Maths Lit Foundation Knowledge Grade 12 1. Work out what 95 cents is as a

percentage of R10,00.

2. What is 27% of 365?

LO 1 Question Code A4 Maths Lit Foundation Knowledge Grade 12 A pair of shoes is on sale with a mark down of 15%. If the original price of the shoes was R550,00, what is the sale price?


Maths Lit Foundation Knowledge Grade 12 The price of bread increases by 6%. The original price was R8,50 for a loaf of bread. What is the new price of a loaf of bread?


30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12 Themba is offered a salary increase of 5,5%. If his new salary is R12 500, what was his salary before the increase? LO 1 Question Code A7

Maths Lit Foundation Knowledge Grade 12 I pay 14% VAT on my telephone bill. If the total before VAT is R452,50, what is my telephone bill after VAT?

LO 1 Question Code A8 Maths Lit Foundation Knowledge Grade 12 A clothes shop advertises their sale of 35% off all marked prices. If a pair of jeans is marked R350, what price will I pay on the sale?


Maths Lit Foundation Knowledge Grade 12 The number of learners in the school increased from 400 to 750. By what percentage have they increased?

LO 1 Question Code A10 Maths Lit Foundation Knowledge Grade 12 The number of elephants in the area have decreased from 900 to 550. By what percentage have they decreased? Give your answer to the nearest percentage.


Maths Lit Foundation Knowledge Grade 12 If I share 35 sweets between Hayley and Matthew in the ratio 2 : 5, how many sweets do they each get?


30 seconds

30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12 Write a ratio of 30 cents to R15,00 in its simplest form. LO 1 Question Code A13

Maths Lit Foundation Knowledge Grade 12 Write a ratio of 25 cm to 4 metres in its simplest form.

LO 1 Question Code A14 Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 2, Question 2: Annabel started working for a construction company on 3 July 2007. She earned a net income of R144 000 per annum without any bonus. She set aside R8 400 per month for her monthly expenses, and each month set aside 90% of the balance towards a deposit for a car. Calculate Annabel’s net monthly salary.


Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 2, Question 2: Annabel started working for a construction company on 3 July 2007. She earned a net income of R144 000 per annum without any bonus. She set aside R8 400 per month for her monthly expenses, and each month set aside 90% of the balance towards a deposit for a car. How much did Annabel save towards the deposit for a car each month?


Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 2, Question 2: Annabel invested R3 000 of her monthly savings in an account that paid an interest rate of 10,8% per annum, compounded monthly. Use the formula F = to calculate the total amount she will have for her deposit if she saves monthly for 11 months, where: F = total amount received x = monthly amount invested i = monthly interest rate n = number of months for which the money was invested 1 minute


Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 2, Question 2: Annabel started working for a construction company on 3 July 2007. She earned a net income of R144 000 per annum. On 1 July 2008, Annabel receives a 10% salary increase. Calculate Annabel’s new monthly net salary.


30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12 On 1 July 2008 Annabel buys a car. She budgets R3 900 per month for the car and no longer has to pay for public transport. Determine her new total monthly expenditure using the old budget below.

Rent and electricity R2 850 Groceries R1 500 Student loan repayment

R900

Transport to work R700 Clothing R350 Household insurance R420 Entertainment R350 Life insurance R300 Other R1 030

TOTAL R8 400


Maths Lit Foundation Knowledge Grade 12 What is meant by ‘the rand dollar exchange rate’?

LO 1 Question Code A20 Maths Lit Foundation Knowledge Grade 12 If the exchange rate is 1 USD to R8,47, how much will I get in USD for R50 000?


Maths Lit Foundation Knowledge Grade 12 If the exchange rate is 1 USD to R8,47, how much will I get in rands for 2 000 USD?

LO 1 Question Code A22 Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 1.1: Write 47% as a common fraction.

Write as a decimal fraction.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 1.1: Simplify: 1,2 m + (23,5 m 5) – 4,7 m and

(3)3 + √64

1 minuteLO 1 Question Code A24

30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 1, Question 1.1: Calculate 14% VAT on R24 650,00.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 1.1: Convert R1 500 into Euros (conversion R1 =

LO 1 Question Code A26 Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 1, Question 1.1: Increase R1 250,00 by 24%.


Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 1, Question 1.1: Calculate the number of 30 g portions of jam that can be obtained from a 450 g tin.

LO 1 Question Code A28 Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 1.1: Determine the cost of 6 bus tickets using the formula: Cost of bus tickets = number of bus tickets R12,15.


Maths Lit Foundation Knowledge Grade 12November 2008 Paper 1, Question 1 1. Write 20% as a common fraction in its

simplest form. 2. Write as a percentage. 3. Simplify 120 : 150


EUR). Use the EUR 0,11.

30 seconds

30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12 November 2008 Paper 1, Question 1 Decrease 500 kg by 12%.


Maths Lit Foundation Knowledge Grade 12November 2008 Paper 1, Question 1 Calculate the following: 1. R450 – R32,40 10 2. 52 – √36 3. 34% of 450 km


Maths Lit Foundation Knowledge Grade 12 November 2008 Paper 1, Question 1 Marie wants to bake coconut tarts for the school fete using her grandmother’s old recipe. 1. Convert ½ lb to grams (1 lb = 450 g) 2. Convert 9 oz to grams (1 oz = 30 g)


Maths Lit Foundation Knowledge Grade 12 November 2008 Paper 1, Question 1 Marie wants to bake coconut tarts for the school fete using her grandmother’s old recipe. It uses ¾ cup of sugar and 4 eggs to make 3 dozen tarts. 1. One cup of sugar is equal to 250 ml. How

many ml of sugar are needed for this recipe?

2. How many eggs does Marie need to bake 72 coconut tarts?

LO 1 Question Code A34Maths Lit Foundation Knowledge Grade 12November 2008 Paper 1, Question 1 Marie wants to bake coconut tarts for the school fete using her grandmother’s old recipe. They have to be baked at 350F for 20 minutes. Convert 350F to C using the formula: Temp in C = (temp in F – 32) Round your answer off to the nearest 10 degrees.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 3.3 Jabulani starts a small business making and selling money boxes. It costs him R25,50 to make ONE money box, including labour and overheads. He intends selling each money box for R30,00. Calculate the percentage profit Jabulani will make on each money box.


30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 1, Question 3.3 Jabulani starts a small business making and selling money boxes. It costs him R25,50 to make ONE money box, including labour and overheads. He intends selling each money box for R30,00. How many money boxes will Jabulani need to sell in order to make a profit of at least R400,00? LO 1 Question Code A37

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 4 Refer to Table 2 on page 24 A train timetable (Table 2) is shown for travelling from Durban to Bloemfontein and then to Kimberley. On which day of the week does this train from Durban arrive in Kimberley?

LO 2 Question Code B1Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 1, Question 4 Refer to Table 2 on page 24 A train timetable (Table 2) is shown for travelling from Durban to Bloemfontein and then to Kimberley. How long did the total journey take? Write your answer in hours.

1 minuteLO 2 Question Code B2

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 4 Refer to Table 2 on page 24 A train timetable (Table 2) is shown for travelling from Durban to Bloemfontein and then to Kimberley. At what time did the train leave Ladysmith?

LO 2 Question Code B3 Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 4 Refer to Table 2 on page 24 A train timetable (Table 2) is shown for travelling from Durban to Bloemfontein and then to Kimberley. Calculate the total time taken for stops between Durban and Kimberley. Give the answer in hours and minutes.

LO 2 Question Code B4

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 4 Refer to Table 2 on page 24 Not counting stops, the actual travel time for the train journey is 17,6 hours and the distance between Durban and Kimberley is 842 km. Calculate the average speed at which the train is travelling. Use the formula: Speed =


30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 1, Question 4 Refer to Table 2 on page 24 James travels from Durban to Brandfort on the same train. He needs to board a bus in Brandfort that is leaving the bus station at 11:00. It takes 5 minutes to walk from the train station to the bus station. Determine whether James will be in time to board the bus. Show ALL the necessary calculations.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 1.2 Refer to Graph 1 on page 24 Jane participated in a sponsored 20 km walk to raise funds for Aids orphans. The organiser encouraged the walkers to have a fifteen-minute rest during the walk. Graph 1 shows the distance covered by Jane against the time taken by her. 1. At what time did the walk start? 2. How many kilometres did Jane walk

during the first hour? LO 2 Question Code B7

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 1.2 Refer to Graph 1 on page 24 Jane participated in a sponsored 20 km walk to raise funds for Aids orphans. The organiser encouraged the walkers to have a fifteen-minute rest during the walk. Graph 1 shows the distance covered by Jane against the time taken by her. 1. How far had Jane walked by 10:00? 2. How long did Jane take to walk the first 9

km?


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 1.2 Refer to Graph 1 on page 24 Jane participated in a sponsored 20 km walk to raise funds for Aids orphans. The

fifteen-minute rest during the walk. Graph 1 shows the distance covered by Jane against the time taken by her.

1. After how many hours of walking did Jane rest?

2. Give an estimate of the time at which Jane finished the walk.

LO 2 Question Code B9 Maths Lit Foundation Knowledge Grade 12

If y = 3x – 7 and x = –2, determine the value of y.


Maths Lit Foundation Knowledge Grade 12

If y = 3x – 7, complete the table of values below.

x –2 –1 0 1 2 y = 3x – 7


organiser encouraged the walkers to have a

30 seconds

30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12Refer to Graph 2 on page 25 Use the points from the table of values below to plot a graph.

x –2 –1 0 1 2 y = 3x – 7 –13 –10 –7 –4 –1


Maths Lit Foundation Knowledge Grade 12 Tim rides his motorbike for 4 hours and travels 280 km in that time. Work out his average speed. Use the formula: speed =

LO 2 Question Code B13Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 6 Refer to Graph 3 on page 25 Lourens and five friends are planning a holiday. They decided to hire a Toyota from Oom Piet’s car hire for 5 days. As part of their rental costs, the car hire offers 200 km free per day. Total rental cost = R2 000 + (number of kilometres over 1 000 km) R3,00 Graph 3 shows the total rental cost. What is the total rental cost over 5 days if Lourens and his friends travel 950 km?


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 6 Refer to Graph 3 on page 25 Lourens and five friends are planning a holiday. They decided to hire a Toyota from Oom Piet’s car hire for 5 days. As part of their rental costs, the car hire offers 200 km free per day. Total rental cost = R2 000 + (number of kilometres over 1 000 km) R3,00 Graph 2 shows the total rental cost. What is the total rental cost over 5 days if Lourens and his friends travel 1 300 km? LO 2 Question Code B15

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 6 Refer to Graph 3 on page 25 Determine the maximum number of kilometres they could travel in five days if they set aside R3 500 to pay for car hire.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 6 A Toyota Avanza covers 10 km on 1 litre of petrol. Suppose the friends travelled 1 400 km and petrol costs R10,40 a litre, calculate the petrol bill for the journey, using the following formula: Petrol bill

= cost of 1l petrol


30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 2, Question 1 A High School bakes brown bread in order to raise funds. They pay a fixed weekly cost of R400,00 for water and electricity. The cost of producing one loaf of brown bread, including labour and ingredients, is R3,50. The brown bread is sold at R6,00 a loaf. If one loaf of brown bread requires 450 g of flour, determine the maximum number of loaves of brown bread that can be baked from a 12,5 kg bag of flour.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 1 Refer to Card 2.18 The table below shows the weekly cost of making the bread. Table 4: Weekly cost of making brown bread No of loaves

0 40 80 120 160 B 300

Total cost 400 540 680 A 960 1 240 1 450

Use the formula to calculate the values of A and B in Table 4: Total cost per week = fixed weekly cost + (number of loaves of bread cost per loaf)


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 1 Refer to Code B18 The table shows the weekly income from selling the bread. Table 5: Weekly income received from selling bread No of loaves

0 40 120 150 D 250 300

Total income

0 240 C 900 960 1 500 1 800

Determine the values of C and D in Table 5. LO 2 Question Code B20

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 1 Refer to Code B18 Use grid on page 26 Use the values from Table 4 and Table 5 to draw TWO straight line graphs on the same grid, showing the total COST per week of making bread and the INCOME per week from selling bread. Label the graphs ‘COSTS’ and ‘INCOME’.

1½ minutes LO 2 Question Code B21

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 1 Refer to tables and graphs from Code B19,

Use the tables or the graphs to work out how many loaves of bread they must sell to break even and describe what is happening at the break-even point



What income would they receive if 230 loaves were sold?


B20 and B21 B20 and B21

.

30 seconds

30 seconds

30 seconds

30 seconds




Estimate the number of loaves baked if the total cost is R840. LO 2 Question Code B24


Determine, by calculation, whether Ses’fikile High School will make a profit or a loss if they bake 300 loaves of bread during the week, but only sell 250 of these loaves of bread.


Maths Lit Foundation Knowledge Grade 12 Which unit of measurement do we use for: 1. Area: metres, square metres or

cubic metres? 2. Perimeter: metres, square metres or

cubic metres? 3. Volume: metres, square metres or

cubic metres?

LO 3 Question Code C1

Maths Lit Foundation Knowledge Grade 12 Convert the following measurements: 1. 34 cm to millimetres 2. 34 cm to metres. 3. 0,7 m2 to cm2 4. 0,7 m2 to km2 LO 3 Question Code C2

Maths Lit Foundation Knowledge Grade 12 Convert the following measurements: 1. 568 mm2 to cm2 2. 3,08 m2 to cm2


Maths Lit Foundation Knowledge Grade 12 Convert the following measurements:

1. 80 km3 to m3 2. 205,7 mm3 to cm3

1 minuteLO 3 Question Code C4

B20 and B21 B20 and B21

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12 Convert the following measurements: 1. 560 ml to litres 2. 25 kg to grams


Maths Lit Foundation Knowledge Grade 12 How many litres of water can fill a container that has a volume of 6 500 cm3? LO 3 Question Code C6

Maths Lit Foundation Knowledge Grade 12 A recipe uses 2,8 lbs of flour. Convert this to kilograms if 1 lb = 450 g.


Maths Lit Foundation Knowledge Grade 12 How many pounds (lbs) is 950 grams of flour if 1 lb = 450 g?

LO 3 Question Code C8 Maths Lit Foundation Knowledge Grade 12 If Tess is 1,63 m tall, how tall is she in feet and inches? Use 2,54 cm = 1 inch and 12 inches = 1 foot


Maths Lit Foundation Knowledge Grade 12 How long is a 12 inch ruler in centimetres? Use 2,54 cm = 1 inch


30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 3 A chicken farmer uses a generator to provide power for his chicken shed and his farmhouse. He stores the fuel in a diesel tank with a radius of 1 m and a length of 2 m. He decides to paint the outside surface area of the tank. Calculate the surface area (SA) of the tank in m2. Use the formula: SA = 2πrh + 2πr2 where r is the radius, h is the height and π 3,14. 1 minute LO 3 Question Code C11

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 3 A chicken farmer uses a generator to provide power for his farm. He stores the fuel in a diesel tank with a surface area of 18,84 m2. He paints the outside surface area of the tank and the stand it rests on (surface area 1 m2). Calculate the quantity of paint (in litres) needed if it takes 1 litre of paint to paint 3m2 of the surface area. Round off your answer to the nearest litre.

LO 3 Question Code C12 Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 3 If a one litre tin of paint costs R23,63 and a five litre tin of paint costs R113,15, calculate the most economical way to purchase 19,84 m2 of paint for the diesel tank.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 3 A chicken farmer uses a generator to provide power for his farm. He stores the fuel in a diesel tank with a radius of 1 m and a length of 2 m. Calculate the capacity (volume) of the diesel tank in litres where 1 m3 = 1 000 litres. Use the formula: V = r2 h where π 3,14, h is the height and r is the radius.


Maths Lit Foundation Knowledge Grade 12 March 2009 Paper 2, Question 3 The farmer fills a diesel tank to 80% of its capacity. It has a capacity of 6 280 litres. The generator used 72 litres of diesel in 36 hours. Calculate the amount of diesel in litres remaining in the tank after 7 days of the generator running continuously.

1½ minutesLO 3 Question Code C15

Maths Lit Foundation Knowledge Grade 12 If a map has a scale of 1 : 50 000, 1 cm on the map represents 50 000 cm on the ground. Convert 50 000 cm to kilometres.


1 minute

30 seconds



Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 5 Refer to scale drawing on page 27. Naledi High School decides to tile the floor of their school hall. The hall is L-shaped. A scale drawing is made of the hall. Determine the scale (in simplified form) to be used if the length of the north wall in the diagram is


Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 5 Refer to scale drawing on page 27. Naledi High School decides to tile the floor of their school hall using black and grey tiles. The hall is L-shaped. A rectangular stage is shown in the sketch. The width of the stage is 5 m and the length is 10 m. The stage is not going to be tiled. Calculate the area of the floor (excluding the stage) to be tiled. Area of a rectangle = length breadth

1½ minutes LO 3 Question Code C18

Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 5 Refer to scale drawing on page 27. Naledi High School decides to tile the floor of their school hall using black and grey tiles. The stage area is not going to be tiled. The size of a square tile is 50 cm by 50 cm. the area to be tiled is 220 m2. The tiler requires that 5% more tiles must be purchased to allow for cutting and breakages. Calculate how many tiles must be bought.


Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 5 Refer to scale drawing on page 27. Naledi High School decides to tile the floor of their school hall using black and grey tiles. They need 924 tiles, including some extras in case of breakages. The ratio of black tiles to grey tiles needed is 4 : 1. Tiles come in boxes of 12. Calculate the number of full (complete) boxes of black tiles that must be bought.


Maths Lit Foundation Knowledge Grade 12Copy this compass and fill in the compass directions:


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 5 Refer to map on page 27 Gerrie van Niekerk is a primary school learner who lives in Krugersdorp. He lives on the corner of Wishart Street and 5th Street. Use the map of part of Krugersdorp, Gauteng to answer the question: Give a grid reference for the Jays Shopping Centre where Gerrie and his mother do their weekly grocery shopping. LO 3 Question Code C22

North

____

____ ____

_________

_________

_________

________

60mm.

30 seconds



Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 5 Refer to map on page 27 Gerrie van Niekerk is a primary school learner who lives in Krugersdorp. He lives on the corner of Wishart Street and 5th Street. Use the map to answer the question: Gerrie’s grandmother lives with them and goes to the hospital for her medication once a month. What is the relative position of Krugersdorp Central Hospital with respect to Gerrie’s home?


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 5 Refer to map on page 27 Gerrie van Niekerk is a primary school learner who lives in Krugersdorp. He lives on the corner of Wishart Street and 5th Street. Use the map to answer the question: Gerrie’s father drives from Jays Shopping Centre to the petrol station to buy petrol for his car. Describe his route if the exit from Jays Shopping Centre is in 4th Street.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 5 Refer to map on page 27 Gerrie walks from home to Paardekraal Primary School by: Crossing 5th Street and walking in an easterly direction along Wishart Street; Turning right and walking in a southerly direction along 4th Street; Turning left and walking in an easterly direction along Onderste Street; Turning right, and walking in a southerly direction along 3rd Street. The school’s entrance is on the corner of 3rd Street and Pretoria Street. Measure the total walking distance on the map between Gerrie’s house and the Paardekraal Primary School in centimetres. LO 3 Question Code C25

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 5 Refer to map on page 27 Gerrie walks from home to Paardekraal Primary School. The total walking distance on the map is 11 cm. Use the scale 1 : 11 000 to calculate the actual distance Gerrie walks to school. Give your answer in kilometres.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 2.2 70 learners who won a national essay-writing competition attended a Youth Forum in Johannesburg. A survey was done to find out how many winners came from each province. The results are given in Table 6. Province EC FS Gau KZN Lim Mpu NC NW WCNo of winners

8 6 10 11 8 7 5 6 9

Total : 70 What percentage of the winners came from Mpumalanga?

LO 4 Question Code D1

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 2.2 Calculate the ratio of the number of winners from Gauteng to the number of winners from Northern Cape. Give your answer in simplified form. Table 6 Province EC FS Gau KZN Lim Mpu NC NW WCNo of winners

8 6 10 11 8 7 5 6 9

Total : 70


30 seconds

30 seconds

30 seconds

1½ minutes



Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 2.2 Table 6 Province EC FS Gau KZN Lim Mpu NC NW WCNo of winners

8 6 10 11 8 7 5 6 9

Total : 70 Suppose one of the winners is chosen randomly. What is the probability that the learner is from: (a) The Eastern Cape (b) South Africa

1 minuteLO 4 Question Code D3

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 2.2 Refer to grid on page 28 Table 6 Province EC FS Gau KZN Lim Mpu NC NW WCNo of winners

8 6 10 11 8 7 5 6 9

Total : 70 Draw a vertical bar graph to represent the data in Table 6 on the grid provided on page

1½ minutesLO 4 Question Code D4

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 4 Refer to Table 7 and Table 8 on page 28. One of the aims of the Arrive Alive Campaign is to increase safety on South African roads. The Arrive Alive team decide that one of the ways of alerting the public to the dangers of road travel is to publish the data on fatalities on South African roads. Which province had a decrease in both the number of fatalities from 2005 to 2006 and the million vehicle kilometres (mvk) travelled? LO 4 Question Code D5

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 4 Refer to Table 7 and Table 8 on page 28. One of the aims of the Arrive Alive Campaign is to increase safety on South African roads. The Arrive Alive team decide that one of the ways of alerting the public to the dangers of road travel is to publish the data on fatalities on South African roads. Which TWO provinces had the highest number of fatalities in 2005 and 2006? LO 4 Question Code D6

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 4 Refer to Table 7 and Table 8 on page 28. One of the aims of the Arrive Alive Campaign is to increase safety on South African roads. The Arrive Alive team decide that one of the ways of alerting the public to the dangers of road travel is to publish the data on fatalities on South African roads. In which TWO provinces were the highest million vehicle kilometres (mvk) travelled? LO 4 Question Code D7

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 4 Refer to Table 7 and Table 8 on page 28. One of the aims of the Arrive Alive Campaign is to increase safety on South African roads. The Arrive Alive team decide that one of the ways of alerting the public to the dangers of road travel is to publish the data on fatalities on South African roads.

Describe the possible relationship between the number of fatalities and the number of million vehicle kilometres (mvk) travelled Gauteng and KwaZulu-Natal.


28.

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 4 Refer to Table 7 and Table 8 on page 28 One of the aims of the Arrive Alive Campaign is to increase safety on South African roads. The Arrive Alive team decide that one of the ways of alerting the public to the dangers of road travel is to publish the data on fatalities on South African roads. What percentage of the total number of fatalities in South Africa in 2006 occurred in Gauteng (GP)?


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 4 Refer to Table 7 and Table 8 on page 28 Calculate the number of fatalities per million vehicle kilometres travelled in 2006 in: (a) Gauteng (b) The province with the lowest number of

fatalities (both rounded off to THREE decimal places).

1 minuteLO4 Question Code D10

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 4 Refer to Table 7 and Table 8 on page 28 Which province, Gauteng or Northern Cape, do you think is the safest in terms of kilometres travelled and fatalities suffered? Give ONE valid reason for your answer.


Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 4.1 Refer to graphs on page 29 The graphs represent the provincial data on average annual incomes (in thousands of rand) and unemployment rates (as a percentage). Use the graphs to calculate the difference in value between the average annual income for Gauteng and the Eastern Cape. LO 4 Question Code D12

Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 4.1 Refer to graphs on page 29 The graphs represent the provincial data on average annual incomes (in thousands of rand) and unemployment rates (as a percentage). Use the graphs to determine what relationship, if any, exists between the unemployment rate and the average annual household income for the provinces? LO 4 Question Code D13

Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 4.1 Refer to graphs on page 29 The graphs represent the provincial data on average annual incomes (in thousands of rand) and unemployment rates (as a percentage). Give a valid reason why a person would choose to work in Gauteng rather than in the Eastern Cape. LO 4 Question Code D14

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 2.3 Refer to graph on page 29 The compound bar graph shows the percentage of South African children from age seven to thirteen, enrolled in primary schools during 1996 and 2007. What percentage of the 10-year-olds was enrolled during 1996?


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 2.3 Refer to graph on page 29 The compound bar graph shows the percentage of South African children from age seven to thirteen, enrolled in primary schools during 1996 and 2007. Calculate the percentage increase in enrolment of 11-year-olds from 1996 to 2007.

LO4 Question Code D16 Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 2.3 Refer to graph on page 29 The compound bar graph shows the percentage of South African children from age seven to thirteen, enrolled in primary schools during 1996 and 2007. Which age group had: a. The largest percentage enrolment during

1996. b. The smallest percentage enrolment

during 2007. c. The greatest increase in percentage

enrolment between 1996 and 2007.


Maths Lit Foundation Knowledge Grade 12March 2009 Paper 1, Question 2.3 Refer to graph on page 29 The compound bar graph shows the percentage of South African children from age seven to thirteen, enrolled in primary schools during 1996 and 2007. If there were 240 000 10-year-old children in South Africa in 1996, calculate the number of 10-year-old children enrolled in primary school. LO 4 Question Code D18

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 6.1 Refer to graphs on page 30 Bathwizz is a company that installs and renovates bathrooms. The general manager presented the company’s earnings for the first three quarters of the year to the company directors using the graphs. What possible trend do you notice with regard to Bathwizz’s quarterly income? LO 4 Question Code D19

Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 6.1 Refer to graphs on page 30 Bathwizz is a company that installs and renovates bathrooms. The general manager presented the company’s earnings for the first three quarters of the year to the company directors using the graphs. Calculate the average (mean) monthly income for Bathwizz for the first nine months of the financial year.


30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12March 2009 Paper 2, Question 6.1 Refer to graphs on page 30 Bathwizz is a company that installs and renovates bathrooms. The general manager presented the company’s earnings for the first three quarters of the year to the company directors using the graphs. The general manager wanted to prove to the company directors that Bathwizz’s income was increasing and that the company was doing well. Which graph would be the better one to show to the company directors? Give a reason for your answer. LO 4 Question Code D21

Maths Lit Foundation Knowledge Grade 12 In a mathematical literacy class, 13 learners completed a test out of 25 marks. Here is a list of their results: 14; 10; 23; 21; 11; 19; 13; 11; 20; 21; 9; 11; 17 Calculate the mean of these results.

1½ minutesLO4 Question Code D22

Maths Lit Foundation Knowledge Grade 12 In a mathematical literacy class, 13 learners completed a test out of 25 marks. Here is a list of their results: 14; 10; 23; 21; 11; 19; 13; 11; 20; 21; 9; 11; 17 Calculate the median and the mode of these results.

1 minute LO 4 Question Code D23

Maths Lit Foundation Knowledge Grade 12 In a mathematical literacy class, 13 learners completed a test out of 25 marks. Here is a list of their results: 14; 10; 23; 21; 11; 19; 13; 11; 20; 21; 9; 11; 17 What is the range of the test results? LO 4 Question Code D24

Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 1.3 Dina and Mpho wrote some English Olympiad practice tests at school. Their marks, in percentages, are given in the table. Table 9: Percentage scored in practice tests

Dina 48 48 48 53 58 62 70 72 80 86Mpho 36 42 48 58 60 61 62 76 86

Mpho’s median mark is 60%. Calculate Dina’s median mark. LO 4 Question Code D25


Dina 48 48 48 53 58 62 70 72 80 86 Mpho 36 42 48 58 60 61 62 76 86

Dina’s mean mark is 62,5%. Calculate Mpho’s mean mark.

1½ minutesLO 4 Question Code D26

30 seconds

30 seconds

30 seconds




Dina 48 48 48 53 58 62 70 72 80 86Mpho 36 42 48 58 60 61 62 76 86

Calculate the range of Dina’s marks.



Dina 48 48 48 53 58 62 70 72 80 86 Mpho 36 42 48 58 60 61 62 76 86

Dina stated that she did better in her practice tests than Mpho. Give TWO reasons to support Dina’s claim.

LO4 Question Code D28 Maths Lit Foundation Knowledge Grade 12 What is probability? LO 4 Question Code D29

Maths Lit Foundation Knowledge Grade 12 If you flip a coin, it will land on ‘heads’ or on ‘tails’. What is the probability of it landing on heads? Write your answer using the correct probability notation. LO 4 Question Code D30

Maths Lit Foundation Knowledge Grade 12

1. What is the probability of an event that will definitely happen?

2. What is the probability of an event that will never happen?


Maths Lit Foundation Knowledge Grade 12 1. What is the probability of throwing a 4

on a dice? 2. What is the probability of throwing a 7

on a dice? 3. What is the probability of throwing a

number from 1 to 6 on a dice?


30 seconds

30 seconds

30 seconds

30 seconds

30 seconds



Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 6.4 Refer to tree diagram on page 30 Shaya FC plays two matches in March. There are three possible outcomes for each match: win (W), lose (L) or draw (D). A tree diagram is drawn to work out the possible outcomes for the two matches. Complete the tree diagram to show all the possible outcomes of the two matches.


Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 6.4 Refer to tree diagram on page 30 Shaya FC plays two matches in March. There are three possible outcomes for each match: win (W), lose (L) or draw (D). A tree diagram is drawn to work out the possible outcomes for the two matches. Use the completed tree diagram to predict the probability that Shaya FC will: (a) win both matches LO4 Question Code D34

Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 6.4 Refer to tree diagram on page 30 Shaya FC plays two matches in March. There are three possible outcomes for each match: win (W), lose (L) or draw (D). A tree diagram is drawn to work out the possible outcomes for the two matches. Use the completed tree diagram to predict the probability that Shaya FC will: (b) win only one of the matches LO 4 Question Code D35

Maths Lit Foundation Knowledge Grade 12November 2008 Paper 2, Question 6.4 Refer to tree diagram on page 30 Shaya FC plays two matches in March. There are three possible outcomes for each match: win (W), lose (L) or draw (D). A tree diagram is drawn to work out the possible outcomes for the two matches. Use the completed tree diagram to predict the probability that Shaya FC will: (c) draw at least one of the matches LO 4 Question Code D36

30 seconds 30 seconds

30 seconds



For Code B1 – B6: Table 2: The train journey from Durban to Kimberley via Bloemfontein

Frequency: From Durban on Wednesdays Town Arrival Departure Time in

minutes stopped at

station Durban 18:30 Pietermaritzburg 20:53 21:10 17 Ladysmith 00:33 27 Harrismith 03:23 03:53 30 Bethlehem 05:20 05:40 20 Kroonstad 07:49 08:19 30 Hennenman 08:57 08:59 2 Virginia 09:17 09:19 2 Theunissen 09:50 09:52 2 Brandfort 10:25 10:27 2 Bloemfontein 11:15 11:45 30 Kimberley 14:50

For Code B7 – B9:

Graph 1: Time taken for 20 km walk 20

19

18

17

16

15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

0

07:00 07:30 08:00 8:30 09:00 09:30 10:00 10:30

Time of day

Dist

ance

cov

ered

in k

m

A

B

C

D



For Code B12: Graph 2

3

2

1

–4 –3 –2 –1 0 1 2 3 4

–1

–2

–3

–4

–5

–6

–7

–8

–9

–10

–11

–12

–13

For Code B14 – B16:

Graph 3: Total rental cost 4 000

3 500

3 000

2 500

2 000

1 500

1 000

500

0 200 400 600 800 1 000 1 200 1 400 1 600

x

y Co

st in

rand

Kilometres travelled

A

B



For Code B21 – B24:

Income and costs 1800

1700

1600

1500

1400

1300

1200

1100

1000

900

800

700

600

500

400

300

200

100

0 50 100 150 200 250 300

Number of loaves of bread

Amou

nt in

rand

s



For Code C17 – C20: Scale drawing

For Code C22 – C26: Street map

18 m

18 m

10 m

6 m

9 m

NFloor plan of school hall



For Code D4: Number of winners attending the Youth Forum

12

10

8

6

4

2

0 EC FS GP KZN LP MP NC NW WC

For Code D7 – D14: Table 7: Number of fatalities per province

YEAR PROVINCE GAU KZN WC EC FS MPU NW LIM NC RSA

2005 2 959 2 906 1 589 1 366 1 012 1 473 1 156 1 320 354 14 135 2006 3 412 2 967 1 637 1 779 1 175 1 530 1 241 1 262 389 15 392

[Source: www.statssa.gov.za ] The Arrive Alive team also decide to compare the estimated million vehicle kilometres (mvk) travelled in a province to the number of fatalities in that province. For Code D7 – D14: Table 8: Million vehicle kilometres (mvk) travelled per province

YEAR PROVINCE GAU KZN WC EC FS MPU NW LIM NC RSA

2005 43 408 20 227 19 514 9 192 7 226 9 767 7 225 6 186 2 731 125 476 2006 44 042 20 750 19 884 9 226 7 517 10 397 7 320 6 056 2 894 128 086

[Source: www.statssa.gov.za ] Note: This means that a total of 43 408 000 000 km were travelled by all the vehicles on Gauteng roads in 2005.

Name of Province

Num

ber o

f lea

rner

s



For Code D12 – D14:

Key: WC = Western Cape KZN = KwaZulu-Natal MP = Mpumalanga EC = Eastern Cape NW = North West LIM = Limpopo NC = Northern Cape GP = Gauteng FS = Free State RSA = whole of South Africa For Code D15 – D18:

Percentage enrolment of South African children in primary school

1996 73,1 81,8 87,9 91,3 93,6 94,4 94,8

2007 94,8 95,6 95,9 96,3 96,3 96 95,8

Perc

enta

ge



For Code D19 – D21: GRAPH 1 GRAPH 2

For Code D33 – D36: Tree diagram Match 1 Match 2 Possible Outcomes for the two matches

W

L

D

W

L

D

WW

WL

WD

This material has been prepared for schools who participated in the Winning Teams’ World of Work Education Programme in 2009. Only these schools may reproduce this material without prior permission.

For further information, contact: Winning Teams on 011 883 6412 PO Box 786676, Sandton 2146.

Written, adapted and compiled by Susan Jobson, edited by Lynn Bowie.

examination preparation for grade 12 mathematical...

Documents