Let's solve each pattern step by step. The goal is to
identify the repeating pattern in each row and then
draw the next set of shapes in the blank box to continue the pattern.
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1)
Pattern:
- ○ → ○○ → ○○○ → □□□□
We see:
- First: 1 circle
- Second: 2 circles
- Third: 3 circles
- So, the pattern increases by one circle each time.
So, the next should be
4 circles.
✔ Answer: Draw
four circles (○○○○)
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2)
Pattern:
- ○ → ○○ → ○○○○ → □□□□
We see:
- 1 circle → 2 circles → 4 circles
Wait — this isn’t increasing by 1. Let’s check:
- Step 1: 1 circle
- Step 2: 2 circles (×2)
- Step 3: 4 circles (×2)
Ah! It's
doubling each time:
- 1 → 2 → 4 → next should be
8
✔ Answer: Draw
eight circles (○○○○○○○○)
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3)
Pattern:
- △○ → △△○ → △△△○ → □□□□
Look at the structure:
- First: 1 triangle, 1 circle
- Second: 2 triangles, 1 circle
- Third: 3 triangles, 1 circle
So, the number of
triangles increases by 1 each time, and there’s always
one circle at the end.
So, next should be:
4 triangles + 1 circle
✔ Answer: Draw △△△△○
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4)
Pattern:
- △○△ → ○△○ → △○△ → □□□□
Let’s list them:
1. △ ○ △
2. ○ △ ○
3. △ ○ △
Now look closely:
- Pattern alternates between two types:
- Type A: △ ○ △
- Type B: ○ △ ○
Sequence: A → B → A → ?
So, it alternates: A, B, A, so next should be
B again
Wait:
1. A
2. B
3. A
4. Should be
B → ○ △ ○
But wait — let’s check if it's a cycle.
Actually, looking again:
- Position 1: △ ○ △
- Position 2: ○ △ ○
- Position 3: △ ○ △
So it’s alternating:
A → B → A → next should be
B
So, the pattern is
alternating between two sequences:
- △○△ and ○△○
So after △○△ (which is A), comes ○△○ (B), then back to △○△ (A), then next is
○△○
✔ Answer: Draw ○ △ ○
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✔ Final Answers:
1) ○○○○
2) ○○○○○○○○ (8 circles)
3) △△△△○
4) ○△○
You can now draw these in the boxes provided.
Parent Tip: Review the logic above to help your child master the concept of geometric patterns worksheet.