Jodie measures the same map - OCR - GCSE Maths - Question 5 - 2018 - Paper 6

To determine if Jodie's reasoning is correct, we first need to examine the relationship between the measurements on the map and the actual lengths.

1. Identify the scale used in the map:
   • From the previous part, we can derive that 1 cm on the map represents 576 m in reality.
2. Jodie’s Claim:

   • Jodie claims that Packer Street is longer than Neil's measurement of 3.5 cm.

   • If Packer Street is longer than 3.5 cm, we can calculate its real-life length as follows:

     Real Length = Map Length × Scale

     Real Length > 3.5 cm × 576 m/cm Real Length > 2016 m

3. Compare to High Street:
   • Jodie states that High Street must then be longer than 576 m in real life. Given that the length of Packer Street exceeds 2016 m, Jodie is correct in reasoning that if Packer Street is longer than Neil's measurement, it supports the assertion that the total length, potentially including High Street, could be greater than 576 m.
4. Conclusion:
   • Jodie's reasoning appears to hinge on the relationship between the map-length of Packer Street and its real-world equivalent. Since Packer Street is longer than Neil’s measurement, it logically follows that High Street must also exceed 576 m.