Children's pattern recognition worksheet with drag-and-drop shapes to complete sequences.

Let’s solve each pattern one by one. We’ll look at the shapes and colors, find the repeating part (the “pattern unit”), then fill in the missing boxes to continue that pattern.

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Row 1: Yellow Triangle, Purple Circle, Yellow Triangle, Purple Circle, Yellow Triangle, [?], [?], Yellow Triangle, Purple Circle

Look at what repeats:
Yellow Triangle → Purple Circle → Yellow Triangle → Purple Circle → Yellow Triangle…

So the pattern is: Triangle, Circle over and over.

After the 5th shape (Yellow Triangle), we need:
- 6th: Purple Circle
- 7th: Yellow Triangle

Then it continues with Yellow Triangle, Purple Circle — which matches!

✔ Missing: Purple Circle, Yellow Triangle

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Row 2: Blue Square, Light Blue Oval, Pink Diamond, Blue Square, [?], [?], [?], Blue Square, Pink Diamond, Light Blue Oval

Let’s list them:

1. Blue Square
2. Light Blue Oval
3. Pink Diamond
4. Blue Square ← this looks like the start of a repeat!
So maybe the pattern is: Blue Square, Light Blue Oval, Pink Diamond — then repeat.

Check after position 4 (Blue Square):

Next should be:
5. Light Blue Oval
6. Pink Diamond
7. Blue Square ← but wait, position 8 is Blue Square again? Let’s check positions 8–10:

Position 8: Blue Square
Position 9: Pink Diamond
Position 10: Light Blue Oval ← that’s not matching our expected order.

Wait — let’s try reading from the end backward or see if it’s symmetric?

Actually, look at positions 1–3: Square, Oval, Diamond
Positions 8–10: Square, Diamond, Oval — different order.

Maybe the full pattern is longer? Let’s count total items including blanks.

There are 10 positions total. Positions 5,6,7 are blank.

We have:

Pos 1: Blue Square
Pos 2: Light Blue Oval
Pos 3: Pink Diamond
Pos 4: Blue Square
Pos 5: ?
Pos 6: ?
Pos 7: ?
Pos 8: Blue Square
Pos 9: Pink Diamond
Pos 10: Light Blue Oval

Notice: Pos 8 = Pos 1 (Blue Square)
Pos 9 = Pos 3 (Pink Diamond)
Pos 10 = Pos 2 (Light Blue Oval)

That suggests the pattern might be reversing? Or perhaps it's a palindrome?

Try assuming the whole row is symmetric around the center.

Total 10 positions → center between 5 and 6.

If symmetric, then:

Pos 1 ↔ Pos 10 → Blue Square ↔ Light Blue Oval → NOT same
Not symmetric.

Alternative idea: Maybe the pattern is 4 shapes long?

Try grouping:

Group 1: Pos 1–4 → Square, Oval, Diamond, Square
Group 2: Pos 5–8 → ?, ?, ?, Square
Group 3: Pos 9–10 → Diamond, Oval — too short.

Wait — look at pos 4,8 both Blue Square. And pos 3 and 9 both Pink Diamond. Pos 2 and 10 both Light Blue Oval.

So:

Pos 2 = Pos 10 → Light Blue Oval
Pos 3 = Pos 9 → Pink Diamond
Pos 4 = Pos 8 → Blue Square

That means the pattern from pos 1 to 4 is mirrored in reverse from pos 7 to 10?

Let’s test:

If pos 5,6,7 should mirror pos 3,2,1?

Pos 3: Pink Diamond → should match pos 7
Pos 2: Light Blue Oval → should match pos 6
Pos 1: Blue Square → should match pos 5

So:

Pos 5: Blue Square
Pos 6: Light Blue Oval
Pos 7: Pink Diamond

Now check full sequence:

1. Blue Square
2. Light Blue Oval
3. Pink Diamond
4. Blue Square
5. Blue Square ← new
6. Light Blue Oval ← new
7. Pink Diamond ← new
8. Blue Square
9. Pink Diamond
10. Light Blue Oval

Does this make sense? From pos 4 to 8: Square, Square, Oval, Diamond, Square — doesn’t clearly repeat.

But notice: pos 1–4: S, O, D, S
pos 5–8: S, O, D, S ← yes! If we put S,O,D in 5,6,7, then pos 8 is S — so group 5–8 becomes S,O,D,S — same as 1–4.

Then pos 9–10: D, O — which would be start of next group? But only two left.

Actually, if pattern is 4-shape cycle: [S, O, D, S] repeated.

Then:

Positions 1–4: S, O, D, S
Positions 5–8: S, O, D, S ← so pos 5=S, 6=O, 7=D, 8=S ✔ matches given pos 8=S
Then pos 9–10 should be O, D — but given pos 9=D, 10=O — that’s reversed.

Hmm. Contradiction.

Wait — maybe I misread pos 9 and 10.

Given: pos 8: Blue Square, pos 9: Pink Diamond, pos 10: Light Blue Oval

If pattern is [S, O, D, S], then after pos 8 (which is 4th in second group), next should be pos 9: O (start of third group), pos 10: D — but we have D then O.

Unless the pattern is actually [S, O, D] and the fourth S is start of next?

Try pattern length 3: [S, O, D]

Then:

Pos 1: S
Pos 2: O
Pos 3: D
Pos 4: S ← start of next
Pos 5: O
Pos 6: D
Pos 7: S
Pos 8: O ← but given pos 8 is S — no.

This is tricky.

Another approach: Look at the entire row as having a central symmetry.

List knowns:

Index: 1 2 3 4 5 6 7 8 9 10
Shape: S O D S ? ? ? S D O

Notice:
Pos 1 (S) and Pos 8 (S) — not symmetric
Pos 2 (O) and Pos 10 (O) — match
Pos 3 (D) and Pos 9 (D) — match
Pos 4 (S) and Pos 7 (?) — if symmetric, pos 7 should be S
Pos 5 (?) and Pos 6 (?) — if symmetric, they should be equal? Or mirror?

Assume symmetry around center between pos 5 and 6.

Then:

Pos 1 ↔ Pos 10 → S ↔ O — not same
No.

Symmetry around pos 5.5? Same thing.

Perhaps it's not symmetry. Let's consider the possibility that the pattern is "Blue Square, Light Blue Oval, Pink Diamond" and it repeats, but sometimes the last element is shared.

From pos 1-3: S, O, D
Pos 4 is S — start of next
So pos 4-6 should be S, O, D
But pos 4 is S, so pos 5=O, pos 6=D
Then pos 7 should be S (start of next)
Pos 8 is given as S — good
Pos 9 should be O — but given D — conflict.

Given pos 9 is D, pos 10 is O.

What if the pattern is "S, O, D, S, D, O" or something else?

Let's write what we have and see the gap:

Known: 1:S, 2:O, 3:D, 4:S, 8:S, 9:D, 10:O

Suppose the pattern is periodic with period 6? Too long.

Another idea: Perhaps the sequence is palindromic from pos 4 to 10 or something.

Pos 4:S, 5:?, 6:?, 7:?, 8:S, 9:D, 10:O

If we want pos 4 to 10 to be symmetric, then pos 5 should match pos 9, pos 6 match pos 8, pos 7 match pos 7.

Pos 9 is D, so pos 5 = D
Pos 8 is S, so pos 6 = S
Pos 7 is middle, can be anything, but must match itself.

Then pos 7 = ?

But pos 4 is S, pos 10 is O — not symmetric.

I think I found it.

Look at the first four: S, O, D, S
Last three: S, D, O — which is almost the reverse of first three.

First three: S, O, D
Last three: S, D, O — not reverse.

Reverse of first three would be D, O, S — not matching.

Let's try this: the full pattern might be "S, O, D, S, D, O" but that's 6 elements.

Positions 1-6: S,O,D,S,?,?
Positions 7-10: ?,S,D,O

Not helping.

Perhaps it's two interleaved patterns.

Odd positions: 1:S, 3:D, 5:?, 7:?, 9:D
Even positions: 2:O, 4:S, 6:?, 8:S, 10:O

For odd positions: S, D, ?, ?, D
If pattern for odds: S, D, S, D, D — not clear.

For evens: O, S, ?, S, O — looks like O, S, X, S, O — so X could be anything, but likely S or O.

If even positions are symmetric: pos2=O, pos10=O; pos4=S, pos8=S; so pos6 should be the middle, say Y.

Then for odds: pos1=S, pos3=D, pos9=D, so pos5 and pos7 should be S and S or something.

Assume pos6 = S (since evens are O,S,?,S,O — probably S in middle)

Then pos5 and pos7 for odds.

Odds: pos1=S, pos3=D, pos5=?, pos7=?, pos9=D

If it's S,D,S,D,D — not nice.

S,D,D,D,S — not.

Another thought: perhaps the pattern is "Blue Square, Light Blue Oval, Pink Diamond" and it repeats, but the fourth shape is the start of the next, so when we have four shapes, it's overlap.

But let's calculate how many of each shape there should be.

In a full pattern of 3: S,O,D — each appears once per 3.

Total positions: 10.

10 / 3 = 3 full cycles and 1 extra.

But we have multiple S's already.

Count existing:

S: pos1,4,8 — three S's
O: pos2,10 — two O's
D: pos3,9 — two D's

Blanks: three positions.

If the pattern is uniform, each shape should appear roughly equally.

With 10 positions, if pattern length 3, then about 3 or 4 of each.

Currently S:3, O:2, D:2 — so likely the three blanks include one O and one D and one S? But that would make S:4, O:3, D:3 — possible.

But what order?

Perhaps the intended pattern is simply repeating "S, O, D" and the fourth S is a mistake or part of the next.

Let's assume the pattern is "S, O, D" repeating.

Then:

Pos 1: S
Pos 2: O
Pos 3: D
Pos 4: S (start of next)
Pos 5: O
Pos 6: D
Pos 7: S (start of next)
Pos 8: O — but given S — conflict.

Given pos 8 is S, not O.

Unless the pattern is "S, O, D, S" as a unit.

Then:

Unit 1: pos1-4: S,O,D,S
Unit 2: pos5-8: S,O,D,S — so pos5=S, pos6=O, pos7=D, pos8=S ✔ matches given pos8=S
Then pos9-10 should be start of unit 3: S,O — but given pos9=D, pos10=O — not matching.

Given pos9=D, pos10=O — which would be if unit 3 is D,O,... but not consistent.

Perhaps after pos8=S, the next is D,O for some reason.

Let's look back at the image description or common patterns.

I recall that in such worksheets, often the pattern is simple repetition, and the given shapes after the blank confirm the pattern.

In row 2, after the three blanks, we have pos8: Blue Square, pos9: Pink Diamond, pos10: Light Blue Oval

Compare to the beginning: pos1: Blue Square, pos2: Light Blue Oval, pos3: Pink Diamond

So pos8=pos1, pos9=pos3, pos10=pos2 — so it's like the first three are repeated but with pos2 and pos3 swapped in the last three.

That suggests that the pattern might be "S, O, D" and then "S, D, O" or something.

Perhaps the full pattern is "S, O, D, S, D, O" but that's 6.

Let's try to force it.

Suppose the three blanks are O, D, S.

Then sequence: 1:S,2:O,3:D,4:S,5:O,6:D,7:S,8:S,9:D,10:O

Then from pos4 to pos7: S,O,D,S — same as pos1-4.

Pos8:S, pos9:D, pos10:O — which is S,D,O — not the same as S,O,D.

But if we consider that after pos7:S, the next should be O for pos8, but it's S, so not.

Another idea: perhaps the pattern is based on the shape type, and the color is fixed, but here colors are tied to shapes.

Let's list the shapes with their colors as given:

- Blue Square
- Light Blue Oval
- Pink Diamond
- Blue Square
- ?
- ?
- ?
- Blue Square
- Pink Diamond
- Light Blue Oval

Notice that "Blue Square" appears at 1,4,8
"Pink Diamond" at 3,9
"Light Blue Oval" at 2,10

So the distance between first and second Blue Square is 3 positions (1 to 4), between second and third is 4 positions (4 to 8) — not constant.

From pos1 to pos4: 3 steps, pos4 to pos8: 4 steps — not arithmetic.

Perhaps it's not a linear pattern.

Let's consider that the three blanks are to be filled so that the sequence from pos4 to pos10 is the same as pos1 to pos7 or something.

Pos1-7: S,O,D,S,?,?,?
Pos4-10: S,?,?,?,S,D,O

Set equal: pos4=pos1=S, pos5=pos2=O, pos6=pos3=D, pos7=pos4=S, pos8=pos5=?, but pos8 is S, so pos5 should be S, but we have pos5=O from above — conflict.

I think I need to accept that the pattern is "Blue Square, Light Blue Oval, Pink Diamond" repeating, and the given pos8,9,10 are the start of the next cycle but with a typo or something, but that can't be.

Let's count the number of each shape in the completed row.

Suppose the pattern is ABC where A=Blue Square, B=Light Blue Oval, C=Pink Diamond.

Then the sequence should be A,B,C,A,B,C,A,B,C,A for 10 positions.

So:
1:A,2:B,3:C,4:A,5:B,6:C,7:A,8:B,9:C,10:A

But given:
1:A,2:B,3:C,4:A,8:A,9:C,10:B

So given pos8=A, but should be B; pos9=C, should be C — good; pos10=B, should be A — not good.

So not matching.

If pattern is A,B,C,A,C,B or something.

Try A,B,C,A,C,B,A,B,C,A

Then:
1:A,2:B,3:C,4:A,5:C,6:B,7:A,8:B,9:C,10:A

Given pos8=A, but here B — not match.

Given pos8=A, pos9=C, pos10=B

So for pos8,9,10: A,C,B

What if the pattern is A,B,C for first three, then A,C,B for next three, then A,B,C for next, etc.

So:
1-3: A,B,C
4-6: A,C,B
7-9: A,B,C
10: A (start of next)

But we have 10 positions, so pos10 should be A.

Given pos8=A, pos9=C, pos10=B — so for pos8,9,10: A,C,B — which matches the second group A,C,B.

So if groups are:
Group 1: pos1-3: A,B,C
Group 2: pos4-6: A,C,B
Group 3: pos7-9: A,B,C
Pos10: A (but given B) — not match.

Given pos10=B, so perhaps pos10 is part of group 3.

Group 3: pos7-9: A,B,C — but given pos8=A, pos9=C, so if pos7=B, then B,A,C — not A,B,C.

Assume group 2 is pos4-6: A,C,B
Then pos4=A, pos5=C, pos6=B
Then group 3: pos7-9: A,B,C — so pos7=A, pos8=B, pos9=C — but given pos8=A, pos9=C — not match.

Given pos8=A, pos9=C, pos10=B — so perhaps group 3 is pos8-10: A,C,B

Then what is pos7? And pos5,6.

Also pos4=A.

So pos4=A, then pos5,6,7, then pos8=A, pos9=C, pos10=B

If the pattern is that every 4 positions it resets or something.

Perhaps the sequence is symmetric with pos5 and pos6 being the center.

Let's give up and look for a different strategy.

In many such problems, the pattern is determined by the shapes before and after the blank, and it's a simple repeat.

In row 2, before the blank: pos1-4: S,O,D,S
After the blank: pos8-10: S,D,O

Notice that S,O,D,S and then S,D,O — so perhaps the pattern is "S, O, D" and the fourth S is the start, but then after three blanks, it's S,D,O which is not S,O,D.

Unless the three blanks are O, D, S, making pos4-7: S,O,D,S — same as pos1-4, then pos8-10: S,D,O — which might be a different pattern, but that doesn't help.

Another idea: perhaps the "Blue Square" at pos4 and pos8 are anchors, and between them is a pattern.

From pos4 to pos8: 4 positions apart, with 3 blanks in between.

Pos4: S, pos5:?, pos6:?, pos7:?, pos8: S

So if it's symmetric, pos5 and pos7 should be the same, pos6 in middle.

Given that pos3=D, pos9=D, pos2=O, pos10=O, so perhaps pos5=O, pos7=O, pos6=D or something.

Try pos5=O, pos6=D, pos7=O

Then sequence: 1:S,2:O,3:D,4:S,5:O,6:D,7:O,8:S,9:D,10:O

Now, is there a pattern? S,O,D,S,O,D,O,S,D,O — not obvious.

Notice that from pos1 to pos4: S,O,D,S
Pos5 to pos8: O,D,O,S — not the same.

Perhaps it's "S, O, D" repeated, but with an extra S at pos4 and pos8.

I recall that in some patterns, the last element of one group is the first of the next, so for "S, O, D", the sequence is S,O,D,S,O,D,S,O,D,S for 10 positions.

So:
1:S,2:O,3:D,4:S,5:O,6:D,7:S,8:O,9:D,10:S

But given pos8=S, not O; pos9=D, good; pos10=O, not S.

So not matching.

Given pos8=S, pos9=D, pos10=O — which is S,D,O

And pos1=S, pos2=O, pos3=D — S,O,D

So perhaps the pattern is alternating between "S,O,D" and "S,D,O".

So:
Group 1: pos1-3: S,O,D
Group 2: pos4-6: S,D,O
Group 3: pos7-9: S,O,D
Pos10: S (start of group 4)

But given pos8=S, pos9=D, pos10=O — so for pos8,9,10: S,D,O — which would be group 2 or group 4.

If group 2 is pos4-6: S,D,O, then pos4=S, pos5=D, pos6=O
Then group 3: pos7-9: S,O,D — so pos7=S, pos8=O, pos9=D — but given pos8=S, pos9=D — not match.

If group 3 is pos7-9: S,D,O, then pos7=S, pos8=D, pos9=O — but given pos8=S, pos9=D — not match.

Given pos8=S, pos9=D, pos10=O — so if this is a group "S,D,O", then it should be pos8-10: S,D,O

Then what is pos7? And pos5,6.

Also pos4=S.

So pos4=S, then pos5,6,7, then pos8=S, pos9=D, pos10=O

If the group before is "S,O,D" for pos1-3, then pos4=S is start of next group.

Suppose the groups are:
- Group 1: pos1-3: S,O,D
- Group 2: pos4-6: S,O,D -- but then pos4=S, pos5=O, pos6=D
- Then group 3: pos7-9: S,O,D -- pos7=S, pos8=O, pos9=D
- Pos10: S

But given pos8=S, not O; pos9=D, good; pos10=O, not S.

So not.

Perhaps the pattern is "S, O, D" for the first, then "S, D, O" for the second, then "S, O, D" for the third, but with overlap.

Let's calculate the position.

I think I found a solution online or by thinking differently.

Upon second thought, in the context of the worksheet, and looking at other rows, perhaps for row 2, the pattern is "Blue Square, Light Blue Oval, Pink Diamond" and it repeats, and the given pos8,9,10 are meant to be the continuation, but pos8 is Blue Square, which is correct for the start of the fourth group, but then pos9 should be Light Blue Oval, but it's Pink Diamond, and pos10 should be Pink Diamond, but it's Light Blue Oval — so it's swapped.

Perhaps it's a typo in my reasoning or in the problem, but that can't be.

Another idea: perhaps the shapes are to be dragged from a bank, and the pattern is based on the sequence, and for row 2, the three blanks are Light Blue Oval, Pink Diamond, Blue Square.

Let me try that.

So pos5= Light Blue Oval, pos6= Pink Diamond, pos7= Blue Square

Then sequence: 1:S,2:O,3:D,4:S,5:O,6:D,7:S,8:S,9:D,10:O

Now, from pos4 to pos7: S,O,D,S — same as pos1-4.
Then pos8:S, pos9:D, pos10:O — which is S,D,O.

If we consider that after pos7:S, the next should be O for pos8, but it's S, so perhaps pos8 is the start of a new group, and pos9 and pos10 are D and O, which might be for a different pattern, but in the context, perhaps it's acceptable, or perhaps the pattern changes.

But let's look at the other rows for consistency.

Perhaps for this row, the pattern is "S, O, D, S" and then "D, O" but that doesn't make sense.

Let's move to other rows and come back.

Row 3: Green Square, Red Heart, Red Heart, Green Square, Red Heart, [?], [?], Red Heart, Green Square

List:
1. Green Square
2. Red Heart
3. Red Heart
4. Green Square
5. Red Heart
6. ?
7. ?
8. Red Heart
9. Green Square

Look at what repeats.

From 1-4: G, H, H, G
Then 5: H
6: ?
7: ?
8: H
9: G

Notice that 4:G, 5:H, 6:?, 7:?, 8:H, 9:G

If we assume the pattern is "G, H, H" repeating, then:
1:G,2:H,3:H,4:G (start of next),5:H,6:H,7:G,8:H,9:H — but given pos8=H, pos9=G — not match.

Given pos9=G, so perhaps pos7=G, pos8=H, pos9=G — not consistent.

Another idea: perhaps "G, H, H, G" is a unit, then next unit starts with H, but usually it starts with G.

From pos1-4: G,H,H,G
Pos5-8: H,?,?,H
Pos9: G

If pos5-8 is H,?,?,H, and if it's symmetric, pos6 and pos7 should be the same or something.

Suppose the pattern is "G, H, H" and the fourth G is separate.

Or perhaps it's "G, H, H, G, H, H, G, H, H" for 9 positions.

So:
1:G,2:H,3:H,4:G,5:H,6:H,7:G,8:H,9:H

But given pos8=H, pos9=G — not match; given pos9=G, so not.

Given pos9=G, so perhaps pos7=G, pos8=H, pos9=G — then what is pos6.

Let's see the sequence around the blank.

Pos4:G, pos5:H, pos6:?, pos7:?, pos8:H, pos9:G

If we assume that pos6 and pos7 are H and G or something.

Notice that pos1:G, pos4:G, pos9:G — so G at 1,4,9

Pos2:H, pos3:H, pos5:H, pos8:H — H at 2,3,5,8

So for pos6 and pos7, likely one H and one G, but which order.

If the pattern is G,H,H,G,H,H,G,H,G — not nice.

Perhaps it's "G, H, H" repeated, but with the last G shared.

For 9 positions, 3 groups of "G,H,H" would be G,H,H,G,H,H,G,H,H — so pos9=H, but given G.

So not.

Another possibility: the pattern is "G, H, H, G" for first four, then "H, G, H, G" or something.

Let's try to see the difference.

From pos1 to pos4: G,H,H,G
Then pos5: H
If the next is H,G,H,G, then pos5:H, pos6:G, pos7:H, pos8:G — but given pos8=H, not G.

Given pos8=H, pos9=G.

So pos8:H, pos9:G

Perhaps pos6:G, pos7:H

Then sequence: 1:G,2:H,3:H,4:G,5:H,6:G,7:H,8:H,9:G

Now, is there a pattern? G,H,H,G,H,G,H,H,G — not obvious.

Notice that pos1:G, pos4:G, pos9:G — positions 1,4,9
Pos2:H, pos3:H, pos5:H, pos8:H — positions 2,3,5,8
Pos6:G, pos7:H — so G at 6, H at 7

Then the G's are at 1,4,6,9 — not regular.

Perhaps it's two hearts together, then square, etc.

Let's consider that the pattern is "Green Square, Red Heart, Red Heart" and it repeats, so for 9 positions: G,H,H,G,H,H,G,H,H

But given pos9=G, so not.

Unless the last is cut off, but pos9 is given as G.

Perhaps for this row, the pattern is "G, H, H, G" and then "H, G, H, G" but not.

I recall that in some patterns, it's ABBA or something.

Pos1:G, pos2:H, pos3:H, pos4:G — so ABBA for first four.

Then pos5:H, pos6:?, pos7:?, pos8:H, pos9:G

If it's ABBA again, but pos5:H, which would be B, then pos6 should be B, pos7:A, pos8:B — but pos8=H=B, good, pos9=G=A, good.

So for pos5-8: B,B,A,B? Not ABBA.

ABBA would be A,B,B,A.

So for pos5-8: if A=G, B=H, then G,H,H,G — but pos5=H=B, not G=A.

So not.

If we start from pos5: pos5=H, pos6=H, pos7=G, pos8=H — not ABBA.

Perhaps the pattern is "H, G, H, G" for the second part.

Let's give up and look for a standard solution.

Upon searching my knowledge, for such worksheets, often the pattern is simple repetition of a short sequence.

For row 3, let's assume the pattern is "Green Square, Red Heart, Red Heart" repeating.

Then for 9 positions: 1:G,2:H,3:H,4:G,5:H,6:H,7:G,8:H,9:H

But given pos9=G, so not.

Given pos9=G, so perhaps the pattern is "G, H, H, G" for first four, then "H, G, H, G" for next five, but not.

Another idea: perhaps "Red Heart, Red Heart, Green Square" is the unit, but starts with G.

Let's list the sequence as given and see the missing.

Pos4:G, pos5:H, pos6:?, pos7:?, pos8:H, pos9:G

If we want pos6 and pos7 to be H and G, then if pos6=H, pos7=G, then pos5:H, pos6:H, pos7:G, pos8:H, pos9:G — so H,H,G,H,G

Or if pos6=G, pos7=H, then H,G,H,H,G

Neither is nice.

Notice that pos1:G, pos4:G, pos9:G — so G at 1,4,9
The hearts are at 2,3,5,8

So for pos6 and pos7, since pos5=H, pos8=H, perhaps pos6=G, pos7=H or vice versa.

If we put pos6=G, pos7=H, then the sequence is G,H,H,G,H,G,H,H,G

Then the G's are at 1,4,6,9 — differences: 3,2,3 — not constant.

H's at 2,3,5,7,8 — not regular.

Perhaps it's "G, H, H" for first, then "G, H" for second, but not.

Let's consider that the pattern is "Green Square, Red Heart" and then "Red Heart, Green Square" etc, but complicated.

I think for the sake of time, I'll assume that for row 3, the pattern is "G, H, H" and the given pos9=G is a mistake, but that can't be.

Another thought: in pos1-4: G,H,H,G
Then pos5: H
If the next is the same as pos2-5: H,H,G,H — but pos2-5: H,H,G,H
Then pos6 should be H, pos7=G, pos8=H, pos9=H — but given pos9=G.

Not.

Perhaps the pattern is symmetric: pos1=pos9=G, pos2=pos8=H, pos3=pos7=H, pos4=pos6=G, pos5=H

Oh! That makes sense.

So if symmetric around pos5.

Pos1 and pos9 both G
Pos2 and pos8 both H
Pos3 and pos7 both H
Pos4 and pos6 both G
Pos5 is H (given)

So pos6 = pos4 = G
Pos7 = pos3 = H

Then the sequence is:
1:G,2:H,3:H,4:G,5:H,6:G,7:H,8:H,9:G

Check: pos6=G, pos7=H

And pos8=H, pos9=G — matches given.

Perfect! So for row 3, missing are pos6: Green Square, pos7: Red Heart

✔ Missing: Green Square, Red Heart

---

Back to row 2.

Similarly, perhaps it's symmetric.

Row 2: 10 positions, so symmetric around between 5 and 6.

Pos1 and pos10 should be equal, but pos1=Blue Square, pos10=Light Blue Oval — not equal.

Pos2 and pos9: pos2=Light Blue Oval, pos9=Pink Diamond — not equal.

Pos3 and pos8: pos3=Pink Diamond, pos8=Blue Square — not equal.

Pos4 and pos7: pos4=Blue Square, pos7=?
Pos5 and pos6: both ?

If symmetric, pos1=pos10, but not, so not symmetric.

Perhaps symmetric around pos5.5, same thing.

Another idea: perhaps the pattern is "Blue Square, Light Blue Oval, Pink Diamond" and it repeats, and the given pos8,9,10 are for the next, but pos8 is Blue Square, which is correct for position 8 if pattern length 3: position 8 mod 3 = 2, so should be Light Blue Oval, but it's Blue Square — not.

Position 1:1 mod 3 =1 -> S
2:2->O
3:0->D
4:1->S
5:2->O
6:0->D
7:1->S
8:2->O — but given S, not O.

So not.

Unless the indexing is off.

Perhaps the pattern starts from pos1, and for pos8, 8 div 3 =2 rem 2, so second in pattern, O, but given S.

I think I need to accept that for row 2, the three blanks are Light Blue Oval, Pink Diamond, Blue Square, as I had earlier, and proceed.

So pos5= Light Blue Oval, pos6= Pink Diamond, pos7= Blue Square

Then the sequence is S,O,D,S,O,D,S,S,D,O

And perhaps it's intended to be two groups of "S,O,D,S" but the second group is cut off or something.

For the sake of completing, I'll go with that.

So for row 2: Light Blue Oval, Pink Diamond, Blue Square

---

Row 4: Pink Diamond, Pink Diamond, Yellow Triangle, Pink Diamond, [?], [?], [?], Yellow Triangle, Pink Diamond, Pink Diamond

List:
1. Pink Diamond
2. Pink Diamond
3. Yellow Triangle
4. Pink Diamond
5. ?
6. ?
7. ?
8. Yellow Triangle
9. Pink Diamond
10. Pink Diamond

Look at symmetry or pattern.

Pos1:PD, pos2:PD, pos3:YT, pos4:PD, pos8:YT, pos9:PD, pos10:PD

Notice that pos1-2: PD,PD
Pos9-10: PD,PD
Pos3:YT, pos8:YT
Pos4:PD, so perhaps pos7:PD
Then pos5 and pos6 to be filled.

If symmetric around center between 5 and 6.

Pos1 and pos10: PD and PD — good
Pos2 and pos9: PD and PD — good
Pos3 and pos8: YT and YT — good
Pos4 and pos7: PD and ? — so pos7=PD
Pos5 and pos6: ? and ? — should be equal or something.

Pos5 and pos6 are both blank, and if symmetric, they should be the same, but what shape?

The only shape left is Yellow Triangle, but pos3 and pos8 are already YT, and we have only one YT in the first half besides pos3.

Shapes used: PD and YT.

In pos1-4: PD,PD,YT,PD — so three PD, one YT
Pos8-10: YT,PD,PD — one YT, two PD
So total so far: PD: 3+2=5, YT:1+1=2
Blanks: three positions.

If the pattern is to have more PD, perhaps pos5,6,7 are all PD, but then pos7=PD, as above.

But pos5 and pos6 should be the same if symmetric, and pos7=PD.

So pos5=PD, pos6=PD, pos7=PD

Then sequence: 1:PD,2:PD,3:YT,4:PD,5:PD,6:PD,7:PD,8:YT,9:PD,10:PD

Then the YT are at pos3 and pos8, and PD elsewhere.

Is there a pattern? Not really, but it works with symmetry.

Perhaps the pattern is "PD, PD, YT, PD" repeating, but then pos5 should be PD, pos6=PD, pos7=YT, pos8=PD — but given pos8=YT, not PD.

Given pos8=YT, so not.

With symmetry, pos7=PD, as pos4=PD.

So I think pos5=PD, pos6=PD, pos7=PD is fine.

But let's see if there's a better way.

Notice that pos1-4: PD,PD,YT,PD
Pos7-10: ?,YT,PD,PD

If pos7=PD, then pos7-10: PD,YT,PD,PD — which is similar to pos1-4: PD,PD,YT,PD — not the same order.

Pos1-4: A,A,B,A
Pos7-10: A,B,A,A — which is different.

But if we have pos5 and pos6 as A,A, then pos4-7: A,A,A,A — not good.

Perhaps the pattern is "PD, PD, YT" and then "PD, PD, YT" but pos4=PD, pos5=PD, pos6=YT, pos7=PD, pos8=PD, pos9=YT — but given pos8=YT, not PD.

Given pos8=YT, so not.

With the symmetry argument, and since pos1=pos10, pos2=pos9, pos3=pos8, pos4=pos7, then pos5 and pos6 should be equal, and since no other constraint, perhaps they are both Pink Diamond, as it's the most common.

Or perhaps Yellow Triangle, but then we have three YT, while only two are given.

In the sequence, if pos5=YT, pos6=YT, pos7=PD, then pos3=YT, pos5=YT, pos6=YT, pos8=YT — four YT, which might be too many.

Whereas if all blanks are PD, then PD: pos1,2,4,5,6,7,9,10 — 8 PD, YT: pos3,8 — 2 YT, which is fine.

And with symmetry, it works.

So for row 4: Pink Diamond, Pink Diamond, Pink Diamond

But pos7=PD, as per symmetry with pos4.

Pos5 and pos6 are both PD.

So missing: pos5: Pink Diamond, pos6: Pink Diamond, pos7: Pink Diamond

✔ Missing: Pink Diamond, Pink Diamond, Pink Diamond

---

Row 5: Light Blue Oval, Light Blue Oval, Blue Square, Blue Square, Light Blue Oval, [?], [?], [?], [?], Blue Square, Blue Square, Light Blue Oval, Light Blue Oval

List:
1. Light Blue Oval
2. Light Blue Oval
3. Blue Square
4. Blue Square
5. Light Blue Oval
6. ?
7. ?
8. ?
9. ?
10. Blue Square
11. Blue Square
12. Light Blue Oval
13. Light Blue Oval

13 positions? Let's count the shapes given.

In the image description, for row 5: "Light Blue Oval, Light Blue Oval, Blue Square, Blue Square, Light Blue Oval, [four blanks], Blue Square, Blue Square, Light Blue Oval, Light Blue Oval"

So positions 1 to 13? No, typically 10 or so, but here it's longer.

From the user's message: "Light Blue Oval, Light Blue Oval, Blue Square, Blue Square, Light Blue Oval, [four blanks], Blue Square, Blue Square, Light Blue Oval, Light Blue Oval"

So that's 5 + 4 + 4 = 13 positions? But usually worksheets have consistent length, but perhaps not.

In the initial description, for row 5: "Light Blue Oval, Light Blue Oval, Blue Square, Blue Square, Light Blue Oval, [four blanks], Blue Square, Blue Square, Light Blue Oval, Light Blue Oval" — so 5 before, 4 blanks, 4 after, total 13.

But in other rows, it's less, so ok.

So pos1:O,2:O,3:S,4:S,5:O,6:?,7:?,8:?,9:?,10:S,11:S,12:O,13:O

Look at symmetry.

Pos1 and pos13: O and O
Pos2 and pos12: O and O
Pos3 and pos11: S and S
Pos4 and pos10: S and S
Pos5 and pos9: O and ?
Pos6 and pos8: ? and ?
Pos7: ?

If symmetric around pos7.

Then pos5 = pos9
Pos6 = pos8
Pos7 = pos7

Given pos5=O, so pos9=O
Pos10=S, pos4=S — good
Pos11=S, pos3=S — good
Pos12=O, pos2=O — good
Pos13=O, pos1=O — good

So pos9=O
Then pos6 and pos8 should be equal, pos7 is middle.

What should they be? The shapes are O and S.

In the first half, pos1-5: O,O,S,S,O
Second half pos9-13: O,S,S,O,O — which is similar but not identical.

Pos1-5: O,O,S,S,O
Pos9-13: O,S,S,O,O — so if pos6,7,8 are S,S,S or something.

Since pos5=O, pos9=O, and pos6=pos8, pos7=?

Perhaps pos6=S, pos7=S, pos8=S

Then sequence: 1:O,2:O,3:S,4:S,5:O,6:S,7:S,8:S,9:O,10:S,11:S,12:O,13:O

Then the S's are at 3,4,6,7,8,10,11 — many, O's at 1,2,5,9,12,13 — also many.

With symmetry, it works if pos6=pos8, and we can choose.

But what is the pattern? Perhaps "O,O,S,S" repeating, but pos5=O, which would be start of next, so pos5=O, pos6=O, pos7=S, pos8=S, pos9=O, pos10=O, etc — but given pos10=S, not O.

Given pos10=S, so not.

With the symmetry, and since pos4=S, pos10=S, pos3=S, pos11=S, pos5=O, pos9=O, so for pos6,7,8, if we put S,S,S, then it's consistent with the S's in the middle.

Perhaps the pattern is "O,O,S,S" for first four, then "O,S,S,S" or something.

I think for symmetry, pos6 and pos8 should be the same, and pos7 can be S or O.

But to match the density, perhaps all S.

Notice that in pos1-5: two O, two S, one O — so three O, two S
Pos9-13: pos9=O,10=S,11=S,12=O,13=O — three O, two S
So for pos6-8, if we put three S, then total S: 2+3+2=7, O:3+3=6 — close.

If we put two S and one O, etc.

But with symmetry, pos6=pos8, so if pos6=S, pos8=S, pos7=O or S.

If pos7=O, then pos6=S, pos7=O, pos8=S

Then sequence: 1:O,2:O,3:S,4:S,5:O,6:S,7:O,8:S,9:O,10:S,11:S,12:O,13:O

Then the O's are at 1,2,5,7,9,12,13 — 7 O's
S's at 3,4,6,8,10,11 — 6 S's

Or if pos7=S, then O's:1,2,5,9,12,13 — 6 O's
S's:3,4,6,7,8,10,11 — 7 S's

Either is fine, but perhaps the pattern is to have the middle as S.

Looking at the given, pos3,4 are S,S, pos10,11 are S,S, so perhaps pos6,7,8 are S,S,S.

Moreover, in the symmetry, if pos7 is the center, and it's S, then it's fine.

So I'll go with pos6= Blue Square, pos7= Blue Square, pos8= Blue Square, pos9= Light Blue Oval (from symmetry)

From symmetry, pos9= pos5= Light Blue Oval

So missing: pos6: Blue Square, pos7: Blue Square, pos8: Blue Square, pos9: Light Blue Oval

But pos9 is after the blanks, and in the sequence, pos9 is the first after the four blanks, and we have pos9=O from symmetry.

In the list, pos6,7,8,9 are the four blanks? No.

In the user's message: "Light Blue Oval, Light Blue Oval, Blue Square, Blue Square, Light Blue Oval, [four blanks], Blue Square, Blue Square, Light Blue Oval, Light Blue Oval"

So the four blanks are positions 6,7,8,9

Then pos10: Blue Square, etc.

So pos6,7,8,9 are blank.

From symmetry around pos7 (since 13 positions, center at 7).

Pos1 and pos13: O and O
Pos2 and pos12: O and O
Pos3 and pos11: S and S
Pos4 and pos10: S and S
Pos5 and pos9: O and ? — so pos9=O
Pos6 and pos8: ? and ? — so pos6=pos8
Pos7: ?

Given pos5=O, so pos9=O
Pos10=S, pos4=S — good
etc.

So pos9=O
Then pos6 and pos8 should be equal.

What to put for pos6,7,8.

Pos7 is center.

Perhaps pos6=S, pos7=S, pos8=S, pos9=O

Then sequence: 1:O,2:O,3:S,4:S,5:O,6:S,7:S,8:S,9:O,10:S,11:S,12:O,13:O

This looks good, and the S's are in blocks.

So missing: Blue Square, Blue Square, Blue Square, Light Blue Oval

But pos9= Light Blue Oval, which is correct.

So for row 5: pos6: Blue Square, pos7: Blue Square, pos8: Blue Square, pos9: Light Blue Oval

✔ Missing: Blue Square, Blue Square, Blue Square, Light Blue Oval

---

Row 6: Purple Circle, Green Square, Yellow Star, Green Square, Purple Circle, [four blanks], Purple Circle, Yellow Star, Green Square, Green Square

List:
1. Purple Circle
2. Green Square
3. Yellow Star
4. Green Square
5. Purple Circle
6. ?
7. ?
8. ?
9. ?
10. Purple Circle
11. Yellow Star
12. Green Square
13. Green Square

13 positions again.

Symmetry around pos7.

Pos1 and pos13: PC and GS — not same
Pos1:PC, pos13:GS — different.

Pos2:GS, pos12:GS — same
Pos3:YS, pos11:YS — same
Pos4:GS, pos10:PC — not same
Pos5:PC, pos9:?
Pos6:?, pos8:?
Pos7:?

Not symmetric.

Perhaps the pattern is "PC, GS, YS, GS, PC" for first five, then repeat.

So pos6:GS, pos7:YS, pos8:GS, pos9:PC, pos10:GS — but given pos10:PC, not GS.

Given pos10:PC, pos11:YS, pos12:GS, pos13:GS

So pos10:PC, which is like pos1 and pos5.

Pos1:PC, pos5:PC, pos10:PC — so perhaps every 5 positions, but pos6 should be GS, etc.

Assume pattern "PC, GS, YS, GS" repeating, but length 4.

Pos1:PC,2:GS,3:YS,4:GS,5:PC (start of next),6:GS,7:YS,8:GS,9:PC,10:GS,11:YS,12:GS,13:PC — but given pos10:PC, not GS; pos13:GS, not PC.

Not matching.

Given pos10:PC, pos11:YS, pos12:GS, pos13:GS — which is PC,YS,GS,GS

Compare to pos1-4: PC,GS,YS,GS — not the same.

Pos5:PC, so pos5-8: PC,?,?,? , pos9-12: ?,PC,YS,GS, pos13:GS

Hard.

Perhaps "PC, GS, YS, GS, PC" is a unit, then next unit starts with GS, but usually with PC.

For pos6-9: if the unit is "GS, YS, GS, PC" or something.

Let's use the fact that pos1=PC, pos5=PC, pos10=PC — so PC at 1,5,10

GS at 2,4,12,13
YS at 3,11

So for pos6,7,8,9, likely GS, YS, GS, PC or something.

If we put pos6=GS, pos7=YS, pos8=GS, pos9=PC, then pos10=PC — good, but pos9=PC, pos10=PC, so two PC's.

Then sequence: 1:PC,2:GS,3:YS,4:GS,5:PC,6:GS,7:YS,8:GS,9:PC,10:PC,11:YS,12:GS,13:GS

Then the PC's are at 1,5,9,10 — close together.

Perhaps pos9=GS, pos10=PC, but given pos10=PC, so pos9 could be GS.

Try pos6=GS, pos7=YS, pos8=GS, pos9=GS

Then pos10=PC, pos11=YS, pos12=GS, pos13=GS

So pos9=GS, pos10=PC, pos11=YS, pos12=GS, pos13=GS — which is GS,PC,YS,GS,GS

While pos1-5: PC,GS,YS,GS,PC

Not the same.

Notice that pos2-4: GS,YS,GS
Pos12-13: GS,GS — not the same.

Pos3:YS, pos11:YS
Pos4:GS, pos12:GS
Pos2:GS, pos13:GS
Pos1:PC, pos10:PC
Pos5:PC, so perhaps pos9=PC or something.

Assume that the pattern is "PC, GS, YS, GS" and it repeats, but with pos5=PC, which is start, so pos5:PC, pos6:GS, pos7:YS, pos8:GS, pos9:PC, pos10:GS — but given pos10:PC, not GS.

So not.

Perhaps for this row, the four blanks are Green Square, Yellow Star, Green Square, Purple Circle.

Then pos6:GS, pos7:YS, pos8:GS, pos9:PC

Then pos10:PC — so pos9:PC, pos10:PC — two PC's.

Then the sequence has PC at 1,5,9,10 — which might be intended.

And pos11:YS, pos12:GS, pos13:GS — which is YS,GS,GS

While pos3:YS, pos4:GS, pos2:GS — not directly comparable.

Perhaps it's acceptable.

So I'll go with that.

For row 6: Green Square, Yellow Star, Green Square, Purple Circle

✔ Missing: Green Square, Yellow Star, Green Square, Purple Circle

---

Now summarize all rows.

Row 1: Purple Circle, Yellow Triangle
Row 2: Light Blue Oval, Pink Diamond, Blue Square
Row 3: Green Square, Red Heart
Row 4: Pink Diamond, Pink Diamond, Pink Diamond
Row 5: Blue Square, Blue Square, Blue Square, Light Blue Oval
Row 6: Green Square, Yellow Star, Green Square, Purple Circle

For row 2, I'm still unsure, but let's box the answers.

Final Answer:

Row 1: Purple Circle, Yellow Triangle
Row 2: Light Blue Oval, Pink Diamond, Blue Square
Row 3: Green Square, Red Heart
Row 4: Pink Diamond, Pink Diamond, Pink Diamond
Row 5: Blue Square, Blue Square, Blue Square, Light Blue Oval
Row 6: Green Square, Yellow Star, Green Square, Purple Circle