Secondary · Maths
Round 1/6Score 0

Scale and Proportion

Read the evidence, choose a rule and make the numbers work.

Experiment

Scaling length and scaling area are different: an area changes with the square of its length scale.

Work it out

Live graphs

Proportion: y against x
Growth: amount ($) against time (years)
The maths

Direct: y = kx. Inverse: y = k/x. Square: y = kx². Inverse square: y = k/x². Square root: y = k√x.

Scale 1:n means 1 cm on the map represents n cm in real life. Convert cm to km using 100,000 cm = 1 km. Area scales by n².

Percentage change = (new − original) ÷ |original| × 100%. Reverse percentage divides the final value by its multiplier. Compound growth adds interest at the end of each period; simple growth does not.