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Questions 2.1.1 to 2.1.6 about map scale, road identification, and distance calculation.

Mathematics

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2.1.1 The type of scale used in the plan is a ratio scale (or numerical scale).

2.1.2 The scale in words is: One unit on the map represents 360 000 units in reality. (For example, 1 cm on the map represents 360 000 cm in reality).

2.1.3

  1. Identify the symbol for National Roads from the key.

    The key shows "National Roads N".

  2. Locate all roads on the map marked with an 'N' symbol.

    These are N10 and N2.
    There are 2 National roads on the map.

    2.1.4

  3. Locate Kirkwood and Shamwari on the map.

  4. Use the North arrow to determine direction.

    Shamwari is to the East and slightly South of Kirkwood. Therefore, Kirkwood is to the West and slightly North of Shamwari.
    The general direction of Kirkwood from Shamwari is North-West.

    2.1.5

  5. Locate Schotia safaris and Shamwari on the map.

  6. Trace the path from Schotia safaris to Shamwari.

    From Schotia safaris, travel North on the N10 road for 18 km, then turn right (East) onto the dirt road which leads to Shamwari.

    2.1.6

  7. Convert the actual distance from kilometers to centimeters.

    1 km=1000 m1 \text{ km} = 1000 \text{ m} 1 m=100 cm1 \text{ m} = 100 \text{ cm} 1 km=1000×100 cm=100 000 cm1 \text{ km} = 1000 \times 100 \text{ cm} = 100\,000 \text{ cm}

    Actual distance = 54 km=54×100 000 cm=5 400 000 cm54 \text{ km} = 54 \times 100\,000 \text{ cm} = 5\,400\,000 \text{ cm}

  8. Use the given scale to calculate the distance on the map.

    The scale is 1:360 0001 : 360\,000.

    Map distance=Actual distanceScale denominator\text{Map distance} = \frac{\text{Actual distance}}{\text{Scale denominator}} Map distance=5 400 000 cm360 000\text{Map distance} = \frac{5\,400\,000 \text{ cm}}{360\,000} Map distance=54036 cm\text{Map distance} = \frac{540}{36} \text{ cm} Map distance=15 cm\text{Map distance} = 15 \text{ cm}

    The distance on the map is 15 cm\boxed{\text{15 cm}}.

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