Higher November 2018 Paper 6 Q5

OCRHigherCurrent spec7 marksRatio & Basic Proportion

5 This map shows part of a village.

Map of part of a village showing High Street along the top, Millard Road along the bottom and curving up the right side, and Packer Street joining High Street to Millard Road

Neil knows that Packer Street is 180 m long in real life.

(a) Neil measures the map.

He says

Packer Street is 3.5 cm long.
High Street is 11.2 cm long.

Therefore, I calculate that High Street is 576 m long in real life.

Use Neil’s figures to show that the answer to his calculation is correct. [3]

(b) Jodie measures the same map.

She says

I think Packer Street is longer than Neil’s measurement of 3.5 cm.
Therefore, High Street must be longer than 576 m in real life.

Is Jodie’s reasoning correct?
Show how you decide. [2]

(c) On another map, Packer Street is 2.4 cm long.

Express the scale of this map in the form 1 : n. [2]