Maths • Classes 9–12
Twenty percent of what?
A percentage needs a base. Find it before trusting a headline.
Take your time. Speak, draw or write your answers.
Here is what is happening.
A percentage expresses a quantity per hundred of a stated base. A change from 40% to 50% is 10 percentage points. Relative to the starting 40%, the increase is 10/40 × 100 = 25%. These describe different comparisons.
Your little investigation
What you need
Paper and the imaginary class counts below.
In a class of 40, 16 students chose a book; later 20 did.
Calculate each share and the percentage-point difference.
Write a headline that states the numbers and the base clearly.
Going from 40% to 50% is an increase of how many percentage points?
KEEP ASKING
All activities in your group