Method and apparatus for a board game
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— example 1
Super Challenge Question—Example 1
[0204]You are lost in dense bushland and as evening approaches the temperature falls to near freezing point. When you fail to return to camp by nightfall, a search party will be organised, but it may not set out until first light, and even then, the search area is likely to be large. It may be hours or even days before you are located. Your survival will depend on your common sense and wit, the suitability of the bush walking clothes you are wearing, and a few personal items such as your wristwatch, a compass, two muesli bars, a multi-function knife, and a water bottle containing about half a litre of water. What action do you take?
[0205]Take 5 points for each of the following factors you mention in your response.
[0206]1. The need to keep warm over night in the freezing conditions (eg. perhaps by digging a hole to protect you from the wind and covering yourself with suitable foliage to maintain body heat)
[0207]2. Avoiding straying too far from your ...
— example 2
Super Challenge Question—Example 2
[0210]You set up a lemonade stand in your street as a fundraiser for the local youth club. At the end of the first week your profits are less than anticipated. What might you do to improve your situation?
[0211]Take 5 points for each of the following factors you mention in your response.
[0212]1. Advertising within the neighbourhood
[0213]2. Sourcing cheaper raw materials to achieve an increased profit margin
[0214]3. Increasing the price of a glass of lemonade as long as this achieves an increased total profit
[0215]4. Operating only on days when the weather is appropriate (warm, sunny, etc.). This minimises waste.
[0216]5. Offering some incentives—everybody likes a bargain
— example 3
Super Challenge Question—Example 3
[0217]You plan to walk from Town A to Town B. The direct route, a distance of 14km, will take you entirely through rugged bush country. However, there is a large square clearing with a side length of 7 km situated as in the diagram below. The square clearing has two diagonals, one of which starts at C and is perpendicular to the direct route from A to B, at a point 7 kms from both towns.
[0218]It is considered that time will be saved if you travel on a route similar to the one shown above passing through P and Q, where the section PQ is parallel to the direct route. Your average travel speed in the bushland is 1 km / hr and your average travel speed through the clearing is 5 km / hr. Let the perpendicular distance between AB and PQ be x. Find and describe the route for which your traveling time will be least.
[0219]Take 5 points for each of the following factors you mention in your response.
[0220]1. Finding an expression for the total time taken to travel...
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