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2 (a) The scale of a map is 1 cm represents 25 m - OCR - GCSE Maths - Question 2 - 2017 - Paper 1
Question 2
2 (a) The scale of a map is 1 cm represents 25 m. (i) The length of a path is 240 m. Work out the length, in centimetres, of the path on the map. (ii) The scale 1... show full transcript
Worked Solution & Example Answer:2 (a) The scale of a map is 1 cm represents 25 m - OCR - GCSE Maths - Question 2 - 2017 - Paper 1
Step 1
The length of a path is 240 m
Answer
To convert the path length from meters to centimeters, we use the scale provided by the map, where 1 cm represents 25 m.
To find the length on the map:
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Convert 240 m to centimeters:
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Determine the equivalent length on the map: ext{Length on map} = rac{24000 ext{ cm}}{25} = 960 ext{ cm}
Thus, the length of the path on the map is 960 cm.
Step 2
Step 3
A new play area must be: • no more than 150 m from B • closer to AD than to CD
Answer
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Draw the perpendicular bisector of AD and CD: This bisector will indicate locations equidistant from both sides.
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Mark a radius of 150 m from point B: Use a compass to draw an arc with B as the center and a radius of 150 m, which indicates the maximum distance from B.
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Identify the shaded region: The area that is within the arc from B and closer to AD than to CD will be shaded. The constructed lines should be clearly shown to indicate the boundaries of the play area.