Number Patterns Worksheet for Grade 5 — Math

Grade 5 · Math

Number Patterns

3 activities · Fill in! · Sort it!

Counting patterns, multiplication patterns, square numbers, Fibonacci and magic squares

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Count the shapes in each growing pattern — how many at the next step?

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Dot rows: Row 1=1, Row 2=3, Row 3=6, Row 4=10, Row 5= (triangular)

L-shape: Step 1=3, Step 2=6, Step 3=9, Step 4= (add 3)

Cross pattern: Step 1=1, Step 2=5, Step 3=9, Step 4= (add 4 each time)

Border of a 1×1 square: 4 tiles. Border of a 2×2 square: 8 tiles. Border of 3×3: tiles

Staircase: Step 1=1, Step 2=3, Step 3=6, Step 4= (triangular numbers, +4)

Sort these growing shape patterns — how many shapes are added each time?

Sort it!

1Staircase: Row 1 = 1 block, Row 2 = 2 blocks, Row 3 = 3 blocks

2Dot column: 1, 2, 3, 4, 5... (1 dot per step)

3Step 1: 2 tiles, Step 2: 4 tiles, Step 3: 6 tiles (2 tiles added)

4Triangle rows: Row 1: 1, Row 2: 4, Row 3: 7 (3 added each row)

5Border tiles: Frame 1: 8, Frame 2: 10, Frame 3: 12 (2 tiles added)

6Row 1: ● Row 2: ●● Row 3: ●●● (1 dot added)

7L-shape: Step 1: 3 squares, Step 2: 6, Step 3: 9 (3 squares added)

Adding 1 each step

write sentence numbers here

Adding 2 each step

write sentence numbers here

Adding 3 each step

write sentence numbers here

Sort these sequences — what type of pattern does each follow?

Sort it!

1A, B, A, B, A, B... (letter alternation)

2100, 90, 80, 70... (subtract 10)

31, 3, 9, 27... (multiply by 3)

41, 2, 4, 8, 16... (multiply by 2)

51, 3, 1, 3, 1, 3... (alternates 1 and 3)

65, 10, 15, 20, 25... (add 5)

73, 6, 12, 24, 48... (multiply by 2)

82, 4, 6, 8, 10... (add 2 each time)

Counting pattern (add a fixed number)

write sentence numbers here

Multiplication pattern (multiply by a fixed number)

write sentence numbers here

Alternating pattern (two alternating rules)

write sentence numbers here

Colour a star for each activity you finish!

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