MathsFreePrintable

Geometric Pattern Tables

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Geometric Pattern Tables

Geometric patterns with shapes

📐 Part 1: Simple Pattern Tables

1. Look at this pattern of dots arranged in rows:

Step 1: • • (2 dots)
Step 2: • • • • (4 dots)
Step 3: • • • • • • (6 dots)

Complete the table:

Step Number 1 2 3 4 5
Number of Dots ____ ____ ____ ____ ____
2. Write the multiplication rule for this pattern:

Number of dots = Step number × ________

3. Look at this square pattern:

Step 1: 3 squares
Step 2: 6 squares
Step 3: 9 squares

How many squares will be in Step 5? ________

Write the multiplication sentence: 5 × ____ = ____

🔺 Part 2: Mixed Shape Patterns

4. Complete this pattern table for triangles:

Rule: Each step has 4 times the step number of triangles

Step Number 1 2 3 4 6 7
Number of Triangles ____ ____ ____ ____ ____ ____
5. A pattern has circles where each step follows the rule: multiply the step number by 5.

Which step will have exactly 35 circles? Step ____

Show your working: ____ × 5 = 35

6. Look at this diamond pattern:

Step 1: 5 diamonds, Step 2: 10 diamonds, Step 3: 15 diamonds

What is the pattern rule?

Step number × 3

Step number × 5

Step number × 10

Step number + 5

🌟 Part 3: Problem Solving

7. Sarah is making a pattern with hexagons and stars together:

• Hexagons follow the rule: Step number × 3
• Stars follow the rule: Step number × 2

Complete both tables:

Step 1 2 3 4
Hexagons ____ ____ ____ ____
Stars ____ ____ ____ ____
8. In Step 4, how many shapes are there altogether?

Hexagons: ____

Stars: ____

Total shapes: ____ + ____ = ____

9. Explain in your own words how you can find the number of shapes in any step of a geometric pattern:

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