Practice and check
Worked example
Count by horizontal layers, including covered support cubes. The printed rule says every column is filled from the base.
3 + 1 + 1 = 5
- 3 + 1 + 1 = 5
Check answers after trying
1: B 2: C 3: A 4: D 5: A 6: C
Count by horizontal layers, including covered support cubes. The printed rule says every column is filled from the base.
Why this answer
- 1: 3 + 1 + 1 = 5 → B
- 2: 5 + 1 = 6 → C
- 3: 5 + 1 + 1 = 7 → A
- 4: 4 + 4 = 8 → D
- 5: 9 = 9 → A
- 6: 9 + 1 = 10 → C
Tips for Parents
▸ Why It Matters This set trades the simple stacks of the first worksheet for a plus-shaped cluster, a solid cube, and a flat grid — shapes that force your child to recognize a structure's overall form before counting, not just tally one by one. It's the second step in this four-part series, and the shift it teaches matters beyond this one sheet: efficient problem-solvers don't count every single unit when a shortcut is available, they recognize a pattern and use it. That's the same instinct that later makes multiplication tables genuinely useful instead of just memorized facts, and it's a building block for the more demanding pattern-recognition your child will need for the staircase and hidden-cube puzzles still ahead in this series. ▸ Getting Started Ask your child to name the shape first — "does it look like a plus, a cube, or a flat sheet?" — before they start counting anything. Naming the pattern activates a shortcut: a solid 2x2x2 cube is always 8, a flat 3x3 layout is always 9, with no hidden cubes to hunt for since nothing is stacked out of view. This is a genuinely different skill from the first worksheet, where the whole point was checking for hidden cubes, so it's worth saying that out loud to your child: "this time, everything you see really is everything there is — the trick is spotting the shape fast." ▸ If They Get Stuck For the plus shape, count each arm separately, then add the center cube once at the end rather than trying to hold the whole structure in mind at once. Encourage circling or lightly shading each arm on scratch paper before adding up the totals — breaking one complex shape into simple, countable chunks is the core spatial-reasoning move behind nearly every harder puzzle in this series. If your child tries to multiply a shape that isn't actually a full rectangular block, gently ask them to point out where the missing corner or extra piece is before moving on. ▸ Praise Points Notice out loud when your child switches strategies between puzzles: "You counted arm by arm for the plus, but just multiplied for the flat grid — that's smart, you picked the right tool for each shape." Flexibility in method matters more than speed here, since a child who always counts one by one, even on the simple shapes, hasn't yet learned the shortcut this worksheet is teaching.
What This Worksheet Builds
This worksheet trains children to recognize a structure's overall shape — a cross, a solid cube, a flat grid — before counting, and to use shortcuts like multiplication for regular shapes instead of counting one by one.
Next Step
When your child can name and shortcut these shapes quickly, move to iq-3d-cube-counting-03, where a four-step staircase requires tracking a growing pattern across columns instead of a single fixed shape.