Practice and check
Worked example
The lower pan is heavier. Combine the clues before choosing the heaviest or lightest item.
B < A; C < B → A
- B < A; C < B → A
Check answers after trying
1: A 2: B 3: C 4: A 5: B 6: C
Printed order
Tips for Parents
▸ Why It Matters Each of the six puzzles on this sheet shows two balance-scale pictures, and every single scale weighs a different pair of toys — toy car against teddy bear, robot against nesting doll, and so on — so no scale ever lines up all three toys at once. To find the heaviest or lightest of the three, your child has to hold the first clue in mind, read the second clue, and mentally chain them into one order. That step-by-step linking, and not just reading a single scale correctly, is the real skill this worksheet is built to teach. It is one of the first times children practice transitive reasoning — combining two known facts to work out a third fact they were never told directly — and that skill carries over into comparing sizes, ages, prices, and eventually into basic algebra. ▸ Getting Started Before your child circles an answer, have them look at the first scale and say out loud which side has tipped down, since the lower pan always holds the heavier toy. Do the same for the second scale, so both clues are spoken aloud and clear in their mind before any comparing begins. It can help to write each clue as a simple sentence, like "teddy bear is heavier than toy car" and "toy car is heavier than block," right in the margin. Turning the picture into a short sentence makes the next step — putting the two sentences together — much easier to manage. ▸ If They Get Stuck Point out that one toy shows up in both scales of a puzzle. In puzzle 1, toy car appears in both — once against teddy bear, once against block — and that repeated toy is the hinge that lets the two separate clues snap together into one order: teddy bear is heavier than toy car, and toy car is heavier than block, so teddy bear must be the heaviest of the three. If your child can't spot the repeated toy on their own, ask "which toy did you just see twice?" rather than pointing directly at it, so they still do the noticing themselves. ▸ Praise Points Praise finding the repeated toy without being told, since that's the actual insight the puzzle is testing, not just landing on the right circle. "You noticed toy car was in both scales and used it to connect the clues — that's exactly the move that makes this kind of puzzle solvable." If your child guesses instead of reasoning through both clues, gently ask them to explain how they know, and treat a correct explanation as the real win rather than a lucky guess.
What This Worksheet Builds
The lower pan is heavier. Combine the clues before choosing the heaviest or lightest item.
Next Step
Once your child can reliably spot the toy that repeats across both scales and use it to link the two clues, move on to Balance Scale 2 for six brand-new toy combinations that practice the exact same reasoning. The toys stay the same — toy car, teddy bear, block, robot, nesting doll, and drum — but the pairings are all different, so your child has to apply the method fresh rather than recall an answer, which is the clearest sign the skill has actually taken hold.