Spatial Visualization Workbook - Levels C & D (3rd & 4th Grade ... - Free Printable

Let’s solve each problem step by step.

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Problem 01:

First shape: Yellow “C” opening to the right
Second shape: Pink semicircle (flat side on left, curved on right) → looks like a “D” rotated 90° clockwise? Wait — actually, it’s a pink shape that is half-circle with flat edge on the left, so when combined with the yellow C (which has open space on the right), they should fit together to make a full circle.

Yellow C + Pink half-disk (flat side facing left) = Full circle inside square? But look at options:

① Circle in center of square — yes! The yellow C wraps around the left and top/bottom, pink fills the right half → makes full circle.

Check others:
② Diamond — no
③ Half-moon — no
④ Vertical split — no

✔ So answer for 01 is ①

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Problem 02:

First shape: Orange L-shape (like corner piece, missing bottom-right)
Second shape: Teal T-shape but flipped? Actually, it’s a teal shape that looks like a “T” lying on its side, pointing left? Wait — let's visualize combining them.

Orange shape: occupies top-left, bottom-left, and middle-left? Actually, looking carefully:

It’s an orange shape that covers:
- Top row: left two squares
- Middle row: left one square
→ Like a backwards “L” or “Γ”

Teal shape:
- Middle row: right two squares
- Bottom row: right two squares
→ Like a mirrored “L” or “”

When you put them together, they form a full rectangle? Let’s see:

Combined, they should fill a 3x2 grid? Or maybe 2x3?

Actually, if you overlay them mentally:

Orange: positions (1,1), (1,2), (2,1)
Teal: positions (2,2), (2,3), (3,2), (3,3)? Wait — better to think visually.

Looking at option ④: It shows orange on left, teal on right, fitting perfectly to make a solid block with orange on left half, teal on right half — but not quite.

Wait — option ③: Shows orange on top-left and bottom-left, teal filling the rest? That matches.

Actually, let’s match the shapes:

The first shape (orange) is like a “corner” covering top-left, middle-left, and bottom-left? No — from image:

In problem 02:

Left shape: orange — it’s 3 units tall on left column, and extends right on top row → so it’s like:

■ ■
■ □
■ □

Right shape: teal — it’s 2 units wide on middle row and bottom row, starting from middle column:

□ □ ■ ■
□ □ ■ ■
But wait — actually, the teal shape is:

Middle row: columns 2 and 3
Bottom row: columns 2 and 3
And also column 1 of middle row? Hmm.

Better approach: Look at the result options.

Option ④: Has orange on left side (full height), teal on right side (but only middle and bottom rows?) — doesn’t match.

Option ③: Orange is in top-left, middle-left, bottom-left; teal is in middle-right, bottom-right, and also middle-center? Yes — that fits.

Actually, the correct combination is where the orange and teal interlock without overlapping.

Looking again: The orange shape has a “notch” on the right side in the middle? And the teal shape has a protrusion that fits into it.

Yes — option ③ shows exactly that: orange on left with a bite taken out on the right-middle, and teal filling that bite and extending right.

So 02 → ③

Wait — let me double-check.

Alternative: Maybe it’s simpler. The two shapes are meant to be placed adjacent or overlapped to form a new figure.

In many such puzzles, you place them so their edges match.

Orange shape: imagine it as occupying cells: (row1,col1), (row1,col2), (row2,col1)

Teal shape: (row2,col2), (row3,col2), (row3,col3) — but that might not align.

Perhaps the intended answer is ④ — because in ④, the orange is on the left vertical strip, and teal is on the right, making a full rectangle except for a small gap? No.

Wait — look at the arrow: “+” means combine, probably by placing them together to form a single connected shape.

Best way: Match the outline.

After re-examining, I believe the correct answer is ④ — because the orange shape is like a “U” open to the right, and the teal shape is like a “T” that fits into it? Not quite.

Actually, let’s count the pieces.

Each shape is made of 4 unit squares? Let’s assume.

Orange: 4 squares — top-left, top-middle, middle-left, bottom-left? From image, it looks like:

Row 1: [X][X]
Row 2: [X][ ]
Row 3: [X][ ]
→ So 4 squares.

Teal: Row 2: [ ][X][X]
Row 3: [ ][X][X]
→ Also 4 squares.

Total 8 squares. Now check which option has 8 colored squares.

Option ①: 6 squares? No
Option ②: 7?
Option ③: 8 — yes: orange 4, teal 4, no overlap
Option ④: 8 — also possible

In option ③: The arrangement is:

Row 1: [O][O][ ]
Row 2: [O][T][T]
Row 3: [O][T][T]
→ That’s 4 O and 4 T — perfect.

In option ④:

Row 1: [O][O][ ]
Row 2: [O][T][T]
Row 3: [O][ ][T] — wait, that’s only 3 T? No.

From image, option ④ has:

Top row: orange, orange, empty
Middle row: orange, teal, teal
Bottom row: orange, empty, teal — so teal appears 3 times? But we need 4.

Whereas option ③ has:

Top: O,O,_
Mid: O,T,T
Bot: O,T,T — that’s 4 O and 4 T.

Yes — so 02 → ③

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Problem 03:

First shape: Green L-shape, open to the right and down? Specifically:

It’s like:

■ ■
■ □
□ □

Second shape: Dark green — looks like a mirror image or rotated version.

Dark green shape:

□ □
■ ■
■ □

When combined, they should form a larger shape.

Look at options:

① Square with white square in top-right — that would be if they formed a frame.

② Solid green square — too big.

Two separate Ls — not combined.

④ Shape that looks like a “Z” or zigzag — possible.

Actually, if you rotate the second shape and attach it to the first, you get a parallelogram or something.

Notice: First shape has 3 blocks, second has 3 blocks? Total 6.

Option ④ has 6 blocks arranged in a diagonal pattern — yes.

How? First shape: top-left, top-middle, middle-left
Second shape: if rotated 180°, becomes bottom-right, bottom-middle, middle-right — then together they make a hexagon-like shape, but in grid, it’s like:

Positions:

(1,1), (1,2), (2,1) from first
(2,3), (3,2), (3,3) from second? Not matching.

Better: Visualize sliding the second shape to fit against the first.

The first shape has a "notch" on the bottom-right, and the second shape has a protrusion that fits there.

In option ④, the shape is continuous and matches the combined outline.

Also, color: both are green shades, so combined should be all green — option ④ is all dark green, while others have white spaces.

Option ① has white square — probably not.

Option ② is solid — too big.

Option ③ is two separate — not combined.

So 03 → ④

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Problem 04:

First shape: Orange star fragment — looks like half a star, left part.

Second shape: Another orange star fragment — right part, but with points.

When combined, they should make a full star.

Look at options:

All are stars, but different styles.

① Star with line through — no
② Star with internal lines — maybe
③ Simple star — plain
④ Star with dots or texture — no

The key is: the two fragments have jagged edges that interlock.

First fragment: has points on left, flat or indented on right? Actually, from image, first shape is like a lightning bolt or zigzag on left, smooth on right? No.

Actually, both shapes are parts of a starburst.

When joined, they form a complete 8-pointed star? Or 6-pointed?

Looking at the fragments: each has 3 points visible, so together 6 points.

Option ③ is a simple 6-pointed star — likely.

Option ② has extra lines inside — probably not.

Option ① has a cross — no.

Option ④ has patterns — no.

Moreover, the fragments don't have any internal details, so the result shouldn't either.

So 04 → ③

But wait — let's see the orientation.

First shape: points going up, down, left? Second shape: points going up, down, right? When combined, they make a symmetrical star.

Yes — option ③ is symmetric and plain.

So 04 → ③

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Problem 05:

First shape: Purple rectangle with arrow pointing right, attached to a triangle on left? Actually, it's a purple shape that looks like a house with arrow inside pointing right.

More precisely: It's a rectangle with a triangular extension on the left, and inside the rectangle, an arrow pointing right.

Second shape: Purple circle with arrow pointing right.

When combined, what happens?

Probably, the rectangular part combines with the circle.

Look at options:

① Rectangle with arrow pointing right — same as first shape? No.

② Circle with arrow pointing left — opposite direction.

③ Circle with rectangle attached on left? Like a lollipop.

④ Rectangle with arrow pointing right — same as first.

Wait — the instruction is to combine the two shapes.

Likely, the circle replaces the triangular part or something.

Notice: The first shape has a "body" (rectangle) and a "tail" (triangle on left). The second shape is a circle with arrow.

If you replace the tail with the circle, you get a rectangle with circle on left and arrow inside rectangle pointing right.

That matches option ③: Circle on left, rectangle on right, arrow in rectangle pointing right.

Option ① is just the first shape alone.

Option ② is circle with arrow left — wrong direction.

Option ④ is same as first shape.

So 05 →

But let's confirm: In option ③, the arrow is still pointing right, and the circle is attached to the left of the rectangle — yes, that makes sense if you remove the triangular tail and attach the circle there.

Perfect.

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Final Answers:

01: ①
02: ③
03: ④
04: ③
05: ③

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Final Answer:
01: ①
02: ③
03: ④
04: ③
05: ③