NSC exam, Mathematical Literacy P2, March 2013
Assignment Type: Revision Paper
Total Marks: Unmarked
QUESTION 1
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Use the scores to determine the following:
Marks: 5
Question 1:

Bongani's median score

Your Answer:
Question 2:

The range of Bongani's scores

Your Answer:
. - In diving competitions, there is a rule whereby a diver's highest and lowest scores are not considered.
Marks: 10
Question 1:

Give ONE valid reason why this rule is applied.

Your Answer:
Question 2:

Determine, showing ALL calculations, which ONE of the two divers attained the higher mean score if the competition rule is applied.

Your Answer:
.
Marks: 9
Attached Section Resource:
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Question 1:

Write down a formula which can be used to calculate the total number of points scored by a school, where `g` = number of gold medals, `s` = number of silver medals and `b` = number of bronze medals, in the form:

Total points scored = ...

Your Answer:
Question 2:

Each principal claims that his/her school performed the best.
In your opinion, which school performed the best?

Show ALL calculations to motivate your answer.

Your Answer:
QUESTION 2
Marks: 10
Attached Section Resource:
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Question 1:

Determine the total length, in miles, of the South African coastline if the coastline of the Eastern Cape is approximately 500 miles long.

Your Answer:
Question 2:

Use the map to list the coastal provinces of South Africa in descending order according to the length of their coastlines.

Your Answer:
Question 3:

Annie measured the length of the coastline of South Africa on her map and found it to be 223 mm long.

Determine the scale of the map in the form 1 : …

Round off the answer to the nearest hundred thousand.

Your Answer:
.
Marks: 7
Attached Section Resource:
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Question 1:

Mr Hugo decides to employ the maximum number of crew members for each boat.

Mr Hugo owns 3 ski boats, 1 small freezer boat and 2 medium freezer boats.

Calculate the maximum number of crew members in total he would need for his fishing boats.

Your Answer:
Question 2:

The Department of Agriculture, Forestry and Fisheries informed Mr Hugo that he will receive 102 chokka fishing permits for 2013. According to regulations, each crew member on a chokka boat must have a fishing permit. Mr Hugo realises that he will now be able to increase his number of fishing boats.

Which ONE of the types of fishing boats in the table above would exactly suit his needs in 2013? Justify your answer.

Your Answer:
.
Marks: 13
Attached Section Resource:
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Question 1:

Calculate the missing values D and E.

Your Answer:
Question 2:

Use the table to draw a line graph using ANNEXURE A.

Attached Resource:
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Your Answer:
Question 3:

One of the crew members claims that the freezer cools down the chokka at a constant rate of 2,42 °C for every 10 minutes.

Verify, showing ALL calculations, whether this claim is valid.

Your Answer:
QUESTION 3
Marks: 6
Attached Section Resource:
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Question 1:

Calculate the missing values `x` and `y` .

Your Answer:
Question 2:

There are 48 learners in class A.

Give ONE possible reason why the total number of learners in class A does NOT correspond with the actual number of learners in the class.

Your Answer:
.
Marks: 15
Attached Section Resource:
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Question 1:

Write down an equation which can be used to calculate the cost of hiring `m` twin rooms.

Only one person will be staying in each twin room.

Your Answer:
Question 2:

Determine, with calculations, the minimum number of each type of room they will need to book.

Your Answer:
Question 3:

Ms Nana estimated that the accommodation will not cost more than R400 per person for the weekend.

Verify, showing all calculations, whether or not her estimation is correct if the cost is to be kept to a minimum.

Your Answer:
. - Ms Nana used a street map of Pretoria to travel around the city. The street map, together with the recent street name changes, is given on ANNEXURE B. Some of the roads are one-way roads (traffic travels in one direction only). Use the map to answer the following questions:
Marks: 10
Attached Section Resource:
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Question 1:

Write down the grid reference for the Steve Biko Hospital.

Your Answer:
Question 2:

In which general direction is Hospital Hill from the Union Buildings?

Your Answer:
Question 3:

Write down the name of a road on the map where the traffic travels in the opposite direction to the traffic in Steve Biko Street.

Your Answer:
Question 4:

Ms Nana drove the minibus from the Arcadia Hotel in Johannes Ramohoase Street to her friend's house in Tenth Avenue.

Describe in detail the route she took to the house.

Your Answer:
QUESTION 4
Marks: 18
Attached Section Resource:
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Question 1:

Determine the minimum area, to the nearest square metre, of the camp site allocated to Lucky High School.

Your Answer:
Question 2:

Two days before the camp, the TLO listened to the weather forecast on the radio and heard that the prediction of rain is 80% for the whole of the following week.

Explain what this prediction means in terms of probability.

Your Answer:
Question 3:




The TLO informed the learners that the time spent in workshops, team-building exercises, plenaries and reviews will only be 35% of the time spent at the camp.

Verify, showing all calculations, whether this information given to the learners was accurate.

Your Answer:
Sandwiches will be prepared for morning tea. - The sandwiches are made from an equal number of white, brown and whole-wheat loaves of bread. The fillings used for the sandwiches are egg or fish, with or without mayonnaise. An incomplete tree diagram which could be used to work out the different combinations of sandwiches that could be made, is given on ANNEXURE C.
Marks: 6
Attached Section Resource:
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Question 1:

Explain what the outcome BEM represents on the tree diagram.

Your Answer:
Question 2:

Complete the tree diagram.

Your Answer:
. - Use the tree diagram to write down the probability, in simplified form, that a sandwich selected at random would:
Marks: 8
Question 1:

Be a whole-wheat fish sandwich without mayonnaise

Your Answer:
Question 2:

Not be a white bread sandwich

Your Answer:
Question 3:

Not be a white bread sandwich

Your Answer:
QUESTION 5
Marks: 18
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Question 1:

During 2012, the Ngubane family used an average of 600 kWh of electricity per month and the Khembo family used an average of 150 kWh of electricity per month.

Use TABLE 7 above to calculate the difference in the cost per kWh that the Ngubane and the Khembo family are charged.

Your Answer:
Question 2:

The difference in the cost of electricity can be viewed by some consumers as fair and by others as unfair.

Give a suitable reason for EACH of these two views.

Your Answer:
Question 3:

Your Answer:
Question 4:

Mrs Ntanzi used an average of 1 000 kWh of electricity per month.

Determine the total annual increase, including VAT, of her electricity bill between 2011 and 2012.

Your Answer:
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. - Mrs Ntanzi was told that she needed solar panels with an area of 2 m² for the first two members in her household and thereafter an area of 0,7 m² for each additional member.
Marks: 18
Question 1:

Determine the total length (`L` ) of the solar panels needed by Mrs Ntanzi if the breadth (`B` ) is 1,5 m.

Your Answer:
Question 2:

The hot water tank on the roof has a volume of 150 ℓ and a height (`h` ) of 1,2 m.

Calculate (to the nearest cm) the length of the radius of the tank if 1 ℓ = 1 000 cm3.

Your Answer:
Question 3:

Jake's Plumbers and Electricians normally charge R12 490 to supply and install the solar geyser. They offered a discount of R4 500 on the type of geyser Mrs Ntanzi ordered.

Mrs Ntanzi currently pays an average of R888,83 per month for electricity. She calculated that 45% of her electricity usage is for water heating.
She states that if she can save 45% on her monthly electricity bill, she will be able to recover the cost of the solar geyser within two years.

Determine whether Mrs Ntanzi's statement is valid. Justify your answer, showing ALL relevant calculations.

Your Answer:
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