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The most appropriate scale to draw a map of South Africa is a ratio scale that allows for a large area to be represented on a smaller medium.

Mathematics

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3.1.1
The most appropriate scale to draw a map of South Africa is a ratio scale that allows for a large area to be represented on a smaller medium.
The correct option is E\boxed{\text{E}}.

3.1.2
A rugby field is a long distance, typically measured in meters. A measuring tape is suitable for such lengths.
The correct option is C\boxed{\text{C}}.

3.1.3
To measure the circumference of a pot lid, a flexible measuring tape is the most suitable instrument.
The correct option is C\boxed{\text{C}}.

3.1.4
An eraser is a small object, and its length can be accurately measured with a ruler.
The correct option is B\boxed{\text{B}}.

3.2.1

  1. Recall the conversion factor between centimetres and millimetres.

    1 cm=10 mm1 \text{ cm} = 10 \text{ mm}

  2. Convert 15 cm15 \text{ cm} to millimetres.

    15 cm=15×10 mm=150 mm15 \text{ cm} = 15 \times 10 \text{ mm} = \boxed{150 \text{ mm}}

    3.2.2

  3. Identify the total thickness of a bundle and the thickness of one flattened box.

    Bundle thickness = 15 cm=150 mm15 \text{ cm} = 150 \text{ mm} (from 3.2.1)
    Thickness of one box = 8 mm8 \text{ mm}

  4. Calculate the number of boxes per bundle.

    Number of boxes=Total bundle thicknessThickness of one box\text{Number of boxes} = \frac{\text{Total bundle thickness}}{\text{Thickness of one box}} Number of boxes=150 mm8 mm\text{Number of boxes} = \frac{150 \text{ mm}}{8 \text{ mm}} Number of boxes=18.75\text{Number of boxes} = 18.75

  5. Since you cannot have a fraction of a box, round down to the nearest whole number.

    Number of boxes=18 boxes\text{Number of boxes} = \boxed{18 \text{ boxes}}

    3.2.3

  6. Identify the height of one block and the thickness of one bundle.

    Block height = 1.2 metres1.2 \text{ metres}
    Bundle thickness = 15 cm15 \text{ cm}

  7. Convert units to be consistent.

    Convert metres to centimetres.
    1 metre=100 cm1 \text{ metre} = 100 \text{ cm}
    1.2 metres=1.2×100 cm=120 cm1.2 \text{ metres} = 1.2 \times 100 \text{ cm} = 120 \text{ cm}

  8. Calculate the number of bundles per block.

    Number of bundles=Block heightBundle thickness\text{Number of bundles} = \frac{\text{Block height}}{\text{Bundle thickness}} Number of bundles=120 cm15 cm\text{Number of bundles} = \frac{120 \text{ cm}}{15 \text{ cm}} Number of bundles=8 bundles\text{Number of bundles} = \boxed{8 \text{ bundles}}

    3.3.1
    The display shows a clock with hands, which is characteristic of an analogue clock.
    This is an analogue\boxed{\text{analogue}} time display.

    3.3.2

  9. Read the time from the clock.

    The hour hand is between 8 and 9.
    The minute hand is pointing at 9, which represents 45 minutes past the hour.
    So the time is 8:45.

  10. Convert to 24-hour format, noting it's "Thursday afternoon".

    For afternoon (PM) times, add 12 to the hour.
    8:45 PM=(8+12):45=20:458:45 \text{ PM} = (8 + 12):45 = 20:45
    The time in 24-hour format is 20:45\boxed{20:45}.

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