Apply the same row and column rule to the missing cell. Compare each option with the required features.
left: filled; right: filled → left: filled; right: empty → left: filled; right: filled
1: A 2: C 3: A 4: D
Printed order
▸ Why It Matters This is one of the harder puzzle types in the series because two completely independent rules — one governing color, one governing shape — apply across the same grid at the same time, and your child has to identify and correctly apply both, not just settle for whichever one seems obvious first. This mirrors real problems outside of worksheets far more closely than a single-rule puzzle does: almost nothing interesting in the real world has just one clean cause. A recipe fails because of both oven temperature and mixing time, a plant wilts because of both light and watering, a grade drops because of both study time and sleep. Learning early that a correct solution sometimes has to satisfy two moving parts at once, tracked separately and combined carefully, is real preparation for the layered thinking that later shows up in science experiments with multiple variables and in almost any complex decision. ▸ Getting Started Have your child solve this puzzle in two clearly separate passes rather than trying to see both patterns at once. First, cover up the color entirely — with a hand or by describing the grid in black and white — and figure out and write down the shape rule alone. Then go back through the same grid a second time, this time ignoring shape completely, and figure out the color rule alone. Only after both rules are written down separately should your child combine them into one final answer. ▸ If They Get Stuck When combining both rules at once feels overwhelming, turn it into a two-step filter instead of one big leap. Have your child first cross out any answer choice that fails the shape rule, no matter how promising its color looks. Then, working only with whatever choices survived that first cut, apply the color rule to find the one true answer. Narrowing the field down step by step is far more reliable than trying to check every rule against every choice all at once. ▸ Praise Points Praise the two-pass strategy explicitly, especially if your child arrives at it on their own: "You solved the shape part first and the color part second instead of trying to juggle both at the same time — that's exactly the right way to take apart a puzzle with two rules stacked together, and it's a strategy that works just as well on much bigger problems."
This worksheet targets multi-attribute reasoning: your child must track two independent rules — color and shape — changing at once across the same 3x3 grid, then combine both correctly to find the missing piece.
Once this two-rule format feels manageable, move on to Matrix Reasoning 14, which trades discrete attributes for a continuous one — the fraction of a pie shape that's shaded.