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ANNEXURE B shows a route map and information regarding the 42.2 km 2017 Cape Town Marathon - English General - 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 - English General - 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 type of scale used for the route map is a bar scale or a linear scale. It may also be referred to as a graphical scale.

Step 2

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

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Answer

The route map represents a top view, also known as an aerial 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 Groote Schuur Hospital is located to the South East from the starting point of the marathon.

Step 4

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

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Answer

There are exactly 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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The tourist attractions between the 15 km mark and the 20 km mark are Castle De Goede Hoop, Old Biscuit Mill, and the 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) represents the instruction, 'Flip over the part-assembly'?

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Answer

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

Step 9

4.2.3 (a) Determine the probability that the block will be Yellow.

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Answer

The probability of selecting a yellow block is 0%. Since there are no yellow blocks in the can.

Step 10

4.2.3 (b) Determine the probability that the block will be Blue.

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Answer

The probability of selecting a blue block is given by the formula: ( P(Blue) = \frac{Number\ of\ Blue\ Blocks}{Total\ Number\ of\ Blocks} = \frac{25}{130} = \frac{5}{26} \approx 0.1923 ) or 19.23%.

Step 11

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

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Answer

The number of layers of cans that can be placed upright in the box is calculated as follows:

[ Number\ of\ Layers = \frac{Height\ of\ Box}{Height\ of\ Can} = \frac{35\ cm}{16.5\ cm} \approx 2.12 ]

Therefore, a maximum of 2 layers can be placed.

Step 12

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

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Answer

The maximum number of cans is calculated as follows:

[ Length\ of\ Box = 56\ cm \quad and\quad\ length\ of\ can\ = 12.6\ cm ]

[ Number\ of\ Cans\ Packed\ Lengthwise = \frac{Length\ of\ Box}{Diameter\ of\ Can} = \frac{56\ cm}{12.6\ cm} \approx 4.44 ] (Rounded down to 4).

[ Width\ of\ Box = 41\ cm \quad and\quad Diameter\ of\ Can = 12.6\ cm]

[ Number\ of\ Cans\ Packed\ Widthwise = \frac{41\ cm}{12.6\ cm} \approx 3.25 ] (Rounded down to 3).

The maximum number of cans that can be packed is:

[ Total\ Cans = 4\ (Lengthwise) \times 3\ (Widthwise) \times 2\ (Layer) = 24\ cans. ]

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