Problem
Reasoning · Grade 3-2 Weighing Applications
Compare red and blue
The first shows red beats blue.
The side that drops is heavier — red drops, so red beats blue.
1.MD.A.1Draw A DiagramCompare two blue with one red
The second shows two blues beat one red.
Two blues outweigh one red, even though one blue alone did not.
1.MD.A.1Draw A DiagramCompare green with two blue
The third shows green beats two blues.
Green alone beats two blues, so green is very heavy.
1.MD.A.1Draw A DiagramChain the comparisons in order
Chained together, green also beats red — green is heaviest.
Stacking the 'heavier than' clues in a row reveals who is at the very top.
1.MD.A.1Look For A PatternChaining the separate heavier-than clues lines all the colours up in one order and reveals who is heaviest.
Why?
If green beats blue and blue beats red, green must beat red, so the separate comparisons link into a single ranking.
Why?
Once every other colour has something heavier than it, the one colour with nothing above it has to be the heaviest.
If green beats two blues, and two blues beat a red, then green wins overall — you can order things by chaining 'heavier than' clues like a Grade 1 comparison!
- Compare red and blue
- Compare two blue with one red
- Compare green with two blue
- Chain the comparisons in order