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ANNEXURE B shows a route map and information regarding the 42.2 km 2017 Cape Town Marathon - NSC Mathematical Literacy - Question 4 - 2017 - Paper 1

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ANNEXURE B shows a route map and information regarding the 42.2 km 2017 Cape Town Marathon. Use ANNEXURE B to answer the questions that follow. 4.1.1 Name the type... show full transcript

Worked Solution & Example Answer:ANNEXURE B shows a route map and information regarding the 42.2 km 2017 Cape Town Marathon - NSC Mathematical Literacy - Question 4 - 2017 - Paper 1

Step 1

4.1.1 Name the type of scale used for the route map.

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Answer

The scale used for the route map is a bar scale, linear scale, or graphical scale.

Step 2

4.1.2 What type of view is represented on this route map?

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Answer

The type of view represented on this route map is a top view, another term can be aerial view, bird's eye view, or satellite view.

Step 3

4.1.3 Name the general direction of the Groote Schuur Hospital (Tourist Attraction 10) from the starting point of the marathon.

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Answer

The general direction of the Groote Schuur Hospital from the starting point of the marathon is South East.

Step 4

4.1.4 Determine the exact number of medical help points located on the route.

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Answer

There are 5 medical help points located on the route.

Step 5

4.1.5 Identify the suburbs in the vicinity of the halfway mark.

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Answer

The suburbs in the vicinity of the halfway mark are Mowbray and Observatory.

Step 6

4.1.6 Identify the tourist attractions indicated on the map between the 15 km mark and the 20 km mark.

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Answer

The tourist attractions indicated on the map between the 15 km mark and the 20 km mark include Castle De Goede Hoop, Old Biscuit Mill, and Planetarium.

Step 7

4.2.1 Write down the correct order of the assembly instructions to build the toy car, using the letters A, B, C, D and E.

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Answer

The correct order of the assembly instructions to build the toy car is: D; B; E; A; C.

Step 8

4.2.2 Which letter (A, B, C, or D or E) fits the instruction, 'Flip over the part-assembly'?

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Answer

The letter that fits the instruction 'Flip over the part-assembly' is E.

Step 9

4.2.3 A can of Lego blocks contains 20 red blocks, 25 blue blocks, 28 green blocks, 30 black blocks and 27 white blocks. A block is randomly selected from the can. Determine the probability that the block will be the following:

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Answer

(a) The probability of selecting a yellow block is 0% or impossible since there are no yellow blocks available.

(b) The probability of selecting a blue block is calculated as follows:

Total blocks = 20 + 25 + 28 + 30 + 27 = 130

Probability of pulling a blue block = ( \frac{25}{130} = \frac{5}{26} \approx 0.1923 ) or 19.23%.

Step 10

4.2.4 (a) Determine the number of layers of cans that can be placed in upright position in the box.

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Answer

The number of layers of cans that can be placed upright is calculated by dividing the height of the rectangular box (35 cm) by the height of one cylindrical can (16.5 cm):

( \frac{35}{16.5} \approx 2.12 ) layers. Thus, we can have 2 complete layers of cans.

Step 11

4.2.4 (b) Hence, determine the maximum number of cans that can be packed into ONE BOX.

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Answer

The number of cans that can be packed lengthwise in the box is calculated as follows:

( \frac{56\ cm}{12.6\ cm} \approx 4.44 ) cans (round down to 4 cans).

The number of cans that can be packed width-wise is calculated as follows:

( \frac{41\ cm}{12.6\ cm} \approx 3.25 ) cans (round down to 3 cans).

The total maximum number of cans that can be packed in is then:

( 4\ layers \times 3\ width = 4 \times 3 = 12\ cans. )

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