Practice and check
Worked example
Apply the same row and column rule to the missing cell. Compare each option with the required features.
diagonal: ╲; upper: gray; lower: black → diagonal: ╱; upper: black; lower: white → diagonal: ╲; upper: white; lower: gray
- diagonal: ╲; upper: black; lower: white → diagonal: ╱; upper: white; lower: gray → diagonal: ╲; upper: gray; lower: black
- diagonal: ╲; upper: gray; lower: black → diagonal: ╱; upper: black; lower: white → diagonal: ╲; upper: white; lower: gray
Check answers after trying
1: C 2: E 3: A 4: D
Printed order
Why this answer
- 1: C = diagonal: ╲; upper: white; lower: gray A: diagonal: ╱; upper: white; lower: gray ≠ diagonal: ╲; upper: white; lower: gray B: diagonal: ╲; upper: gray; lower: white ≠ diagonal: ╲; upper: white; lower: gray D: diagonal: ╲; upper: black; lower: gray ≠ diagonal: ╲; upper: white; lower: gray E: diagonal: ╲; upper: white; lower: black ≠ diagonal: ╲; upper: white; lower: gray F: diagonal: ╱; upper: gray; lower: white ≠ diagonal: ╲; upper: white; lower: gray
- 2: E = diagonal: ╲; upper: gray; lower: white A: diagonal: ╱; upper: gray; lower: white ≠ diagonal: ╲; upper: gray; lower: white B: diagonal: ╲; upper: white; lower: gray ≠ diagonal: ╲; upper: gray; lower: white C: diagonal: ╲; upper: black; lower: white ≠ diagonal: ╲; upper: gray; lower: white D: diagonal: ╲; upper: gray; lower: black ≠ diagonal: ╲; upper: gray; lower: white F: diagonal: ╱; upper: white; lower: gray ≠ diagonal: ╲; upper: gray; lower: white
- 3: A = diagonal: ╲; upper: black; lower: white B: diagonal: ╱; upper: black; lower: white ≠ diagonal: ╲; upper: black; lower: white C: diagonal: ╲; upper: white; lower: black ≠ diagonal: ╲; upper: black; lower: white D: diagonal: ╲; upper: gray; lower: white ≠ diagonal: ╲; upper: black; lower: white E: diagonal: ╲; upper: black; lower: gray ≠ diagonal: ╲; upper: black; lower: white F: diagonal: ╱; upper: white; lower: black ≠ diagonal: ╲; upper: black; lower: white
- 4: D = diagonal: ╲; upper: white; lower: black A: diagonal: ╱; upper: white; lower: black ≠ diagonal: ╲; upper: white; lower: black B: diagonal: ╲; upper: black; lower: white ≠ diagonal: ╲; upper: white; lower: black C: diagonal: ╲; upper: gray; lower: black ≠ diagonal: ╲; upper: white; lower: black E: diagonal: ╲; upper: white; lower: gray ≠ diagonal: ╲; upper: white; lower: black F: diagonal: ╱; upper: black; lower: white ≠ diagonal: ╲; upper: white; lower: black
Tips for Parents
▸ Why It Matters Every square in this set is split by a diagonal line into two colored triangles, and the real pattern isn't just which two colors show up — it's which side of the diagonal each color sits on. That extra layer of "where" on top of "what" is what separates this puzzle from simpler color-matching grids, and it mirrors a kind of thinking children need constantly outside of worksheets: reading a map where north and south matter as much as which town is on it, following a recipe where "add before" and "add after" change the outcome, or noticing in a diagram that a label's position, not just its content, carries meaning. Positional reasoning like this is also directly tested on real matrix-reasoning IQ items, which frequently swap two elements' positions specifically to catch children who only track identity and ignore placement. ▸ Getting Started For each cell in a row, have your child say out loud which color fills the upper-left triangle and which fills the lower-right triangle, rather than just naming "the two colors in this square." Comparing those two separate statements across cells — top-left color across the row, then bottom-right color across the row — makes it much easier to notice that one side might stay constant while the other side is doing all the changing, or that the whole arrangement flips from cell to cell. ▸ If They Get Stuck Rather than trying to hold the full two-color, two-position picture in their head, have your child sketch just the diagonal line on scratch paper for two or three candidate answers and quickly color in each triangle to test the pattern. A mistake like realizing the colors are right but sitting on the wrong sides is far easier to catch by drawing it than by picturing it. ▸ Praise Points Praise specifically when your child notices a "swap trap," where an answer choice uses the exact right two colors but places them on the wrong sides of the diagonal. Say something like: "You caught that this one had the same two colors as the real answer, but they were on opposite sides — that's exactly the kind of careful, side-by-side checking that keeps you from picking a choice that just looks right at a glance."
What This Worksheet Builds
Builds positional awareness by tracking not just which colors appear in a diagonally split shape, but which side of the diagonal each one occupies.
Next Step
Once tracking color and position together feels easy, step up to Matrix Reasoning 10 (Row and Column Colors), which layers a second positional color rule on top.