Practice and check
Worked example
The lower pan is heavier. Combine the clues before choosing the heaviest or lightest item.
B < A; C < B; D < C → A
- B < A; C < B; D < C → A
Check answers after trying
1: A 2: B 3: C 4: D 5: A 6: B
Printed order
Tips for Parents
▸ Why It Matters This is a harder step up from the earlier sets in this series: instead of two balance scales and three toys to compare, each of these six puzzles now gives three scale clues that chain together to rank four of the six familiar toys — toy car, teddy bear, block, robot, nesting doll, and drum — from heaviest to lightest. That means your child has to hold one more link in their head before reaching an answer, since skipping or forgetting a single scale breaks the whole chain. The reasoning skill itself hasn't changed from the two-scale puzzles; it's simply asked to stretch one step further, which is exactly the kind of gradual difficulty increase that keeps a skill developing without feeling like an entirely new subject. ▸ Getting Started Have your child work through the three scales in order, from top to bottom, and jot each comparison on scratch paper as a short phrase like "block is heavier than toy car," writing one line per scale rather than trying to hold all three comparisons in their head at once. Reading the toy names out loud while writing them down also helps, since saying "the robot side went down" out loud makes the relationship stick better than just glancing at a picture. This slower, written approach feels unnecessary at first, but it's what prevents mistakes once the chain gets longer than two links. ▸ If They Get Stuck If the chain of three scales feels overwhelming all at once, cover the third scale with a hand and solve just the first two — that alone gives a reliable order for three of the four toys. Then reveal the third scale and ask where the remaining toy fits into the order already worked out, which turns one big problem into two smaller, more manageable ones. If your child still gets stuck at that final step, have them compare the newly revealed toy to just one toy whose position is already known, rather than trying to place it against all three at once. ▸ Praise Points Praise writing out the chain step by step on scratch paper rather than guessing after a quick glance at the scales. "You lined up all three comparisons before answering instead of guessing — that patience is exactly what a four-toy puzzle like this needs." It's also worth praising your child for going back to check an answer against all three scales once they've settled on an order, since that habit of verifying a conclusion against the original evidence is a skill that carries well beyond sudoku or balance-scale puzzles into any kind of multi-step problem.
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 work through all six of these puzzles confidently, without needing to cover up the third scale as a crutch, move on to worksheet 6, which offers a fresh set of four-toy combinations at the same three-scale difficulty. Repeating the skill with new pairings before increasing difficulty further helps confirm the reasoning has genuinely taken hold, rather than being a lucky pattern match on this particular set of toys.