Kindergarten Math Worksheets - Patterns | Olympiad tester - Free Printable

Let’s look at each row carefully.

In every row, there is a pattern of shapes on the left side (before the dotted line), and then two shapes on the right side (after the dotted line). We need to figure out what those two shapes on the right should be — based on the pattern on the left.

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Row 1:
Left: □ △ □ △ □
That’s square, triangle, square, triangle, square → alternating, starting and ending with square.
So the next two in the pattern would be: △ □
But wait — look at the right side: it shows □ and △. That doesn’t match the continuation.

Actually, maybe the two shapes on the right are NOT the next in sequence — maybe they’re the *missing* pair that completes the pattern? Or perhaps they represent the “rule” of the pattern?

Wait — let’s try another approach.

Look at how many of each shape are on the left:

Row 1:
Squares: positions 1, 3, 5 → 3 squares
Triangles: positions 2, 4 → 2 triangles
Right side: □ and △ → one of each? But that doesn’t match counts.

Alternative idea: Maybe the two shapes on the right are the *first two* shapes of the repeating unit?

Row 1 pattern: □ △ repeats? But it ends with □, so not quite.

Wait — let’s count total shapes on left per row:

Each row has 6 shapes on the left? No — Row 1 has 5 shapes on left. Row 2 has 6. Row 3 has 6. Row 4 has 5.

Hmm.

Another idea: Look at the right column — for each row, the two shapes might be the “key” to the pattern — like the basic building block.

Row 1: Pattern is □ △ □ △ □ → starts with □, alternates. The fundamental pair is □ △. And on the right, we have □ and △ — yes! That matches.

Row 2: ○ | ○ | ○ | | | → circles and rectangles alternating: ○ | ○ | ○ | → actually it’s ○ | ○ | ○ | — wait, written as: circle, rectangle, circle, rectangle, circle, rectangle → so 3 circles, 3 rectangles, alternating starting with circle. Fundamental pair: ○ | → and on the right, we have ○ and | — perfect match.

Row 3: □ ○ □ ○ □ ○ → alternating square and circle, starting with square. Fundamental pair: □ ○. On the right: ○ and □ — that’s reversed! Oh no.

Wait — in Row 3, right side shows ○ then □ — but the pattern starts with □ then ○. So if the rule is “the first two shapes of the pattern”, then Row 3 should be □ ○ — but it’s shown as ○ □. That’s backwards.

Unless... maybe it’s the last two shapes? Let’s check.

Row 1: Last two on left: △ □ → but right side is □ △ — again reversed.

Row 2: Last two: ○ | → right side is ○ | — same order.

Row 3: Last two: □ ○ → right side is ○ □ — reversed.

Row 4: Left: △ — — △ — △ → triangle, rectangle, triangle, rectangle, triangle → ends with triangle. Last two: — △ → rectangle, triangle. Right side: △ and — → triangle, rectangle — which is reverse of last two.

This is inconsistent.

Alternative theory: Maybe the two shapes on the right are meant to be the two types of shapes used in the pattern, listed in the order they first appear?

Row 1: First shape □, second △ → right side □ △ — matches.

Row 2: First ○, second | → right side ○ | — matches.

Row 3: First □, second ○ → right side should be □ ○ — but it’s shown as ○ □ — doesn’t match.

Wait — looking back at the image description (since I can’t see it, but from your text):

You wrote:

Row 1 right: □ and △
Row 2 right: ○ and |
Row 3 right: ○ and □
Row 4 right: △ and —

Ah — in Row 3, it’s ○ then □ — which is reverse of first appearance.

But in Row 4: pattern is △ — △ — △ → first appears △, then — → so should be △ — , but right side is △ and — — wait, you said "△ and —" for Row 4 right? In your initial message:

> fourth row: triangle, rectangle, triangle, rectangle, triangle | triangle, rectangle

Yes — so Row 4 right: △ and — → which matches first two: △ then —.

But Row 3: pattern □ ○ □ ○ □ ○ → first two: □ ○ → but right side is ○ □ — which is swapped.

That suggests maybe there’s a mistake? Or perhaps I misread.

Wait — let me re-express all rows clearly:

Assume the grid is:

Row 1: [□ △ □ △ □] | [□ △]
Row 2: [○ | ○ | ○ |] | [○ |]
Row 3: [□ ○ □ ○ □ ○] | [○ □] ← here it's ○ then □
Row 4: [△ — △ — △] | [△ —]

Only Row 3 has the right-side pair reversed compared to the start of the pattern.

But maybe the rule is: the two shapes on the right are the two distinct shapes in the pattern, sorted by some rule? Like alphabetically? But shapes aren't letters.

Or perhaps by frequency? In Row 3: 3 squares, 3 circles — equal. In Row 1: 3 squares, 2 triangles — square more frequent, and it comes first on right. Row 2: 3 circles, 3 rectangles — equal, but circle first on right. Row 4: 3 triangles, 2 rectangles — triangle more frequent, comes first on right. Row 3: equal count, but circle is shown first on right — why?

Unless in Row 3, the pattern is considered to start with circle? But it doesn’t — it starts with square.

Perhaps the right column is not derived from the left — but rather, the task is to recognize that for each row, the two shapes on the right are the ones that make up the alternating pattern, and we just need to verify or something.

But the user didn’t ask a specific question — they just uploaded an image with a task. Since this is a common type of puzzle, likely the task is: “What should be in the blank?” but there are no blanks — all cells are filled.

Wait — perhaps the dotted lines separate the pattern from its “code”, and the code is correct except for one row, and we need to find which row is wrong?

That makes sense! In many such puzzles, one row has an error, and you have to spot it.

Let’s assume that.

Rule: For each row, the two shapes on the right should be the first two shapes of the repeating pattern on the left.

Check:

Row 1: Pattern starts □ △ → right is □ △ → correct.

Row 2: Starts ○ | → right is ○ | → correct.

Row 3: Starts □ ○ → but right is ○ □ → incorrect! Should be □ ○.

Row 4: Starts △ — → right is △ — → correct.

So Row 3 is the only one where the right-side pair does not match the first two shapes of the left-side pattern.

Therefore, the answer is that Row 3 has the mistake.

But the user didn’t specify what the task is. However, given the context, and since this is a standard format, likely the task is to identify which row is incorrect.

Perhaps the task is to complete something, but everything is filled.

Another possibility: maybe the right column is supposed to show the "next two" in the sequence, but that doesn’t fit because sequences end differently.

For Row 1: after □ △ □ △ □, next would be △ □ — but right is □ △ — not matching.

I think the most logical conclusion is that the right column represents the fundamental pair of the alternating pattern, and Row 3 has them reversed.

So if the task is to find the row that doesn't follow the rule, it's Row 3.

Since the user didn't specify the exact question, but in such images, often the instruction is implied: "Which row is different?" or "Find the mistake."

Given that, I'll go with Row 3 being the incorrect one.

Final Answer: Row 3