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
Question 4
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 type of scale used for the route map can be described as a bar scale or a linear scale. It represents distances graphically on the map.
Step 2
4.1.2 What type of view is represented on this route map?
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The view represented on this route map is an aerial view, allowing for a top-down perspective of the marathon route.
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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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 points located on the route.
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There are 5 exact medical points located along the route of the marathon.
Step 5
4.1.5 Identify the suburbs in the vicinity of the halfway mark.
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The suburbs located in the vicinity of the halfway mark include 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 indicated on the map between the 15 km mark and the 20 km mark are 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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The correct order of assembly instructions is: D; B; E; A; C.
Step 8
4.2.2 Which letter (A, B, C, D or E) fits the instruction, 'Flip over the part-assembly'?
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The letter E fits the instruction 'Flip over the part-assembly'.
Step 9
4.2.3 (a) Determine the probability that the block will be Yellow.
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The probability of picking a yellow block is 0%, as 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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The probability of selecting a blue block is given by the formula:
rac{ ext{Number of Blue Blocks}}{ ext{Total Number of Blocks}} = rac{25}{130} = rac{5}{26} ext{ or } 0.1923.
Thus, the probability that the block will be blue is approximately 0.192.
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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The number of layers of cans that can be placed upright is calculated by dividing the height of the rectangular box by the height of a cylindrical can:
ext{Number of layers} = rac{35 ext{ cm}}{16.5 ext{ cm}} ext{ which gives } 2.12 ext{ layers, rounding down, gives } 2 ext{ layers.}
Step 12
4.2.4 (b) Hence, determine the maximum number of cans that can be packed into ONE BOX.
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First, calculate the maximum number of cans that can be packed lengthwise and width-wise:
