Rule for Geometric Pattern (Level 1)

This math topic focuses on recognizing and determining the rules of geometric number patterns. Each question presents a sequence of numbers and multiple choices to identify the multiplication rule that generates the sequence. The task is to select the correct rule that follows each given set of numbers consistently. Skills practiced include identifying multiplication factors and understanding geometric progression principles.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Patterning - Rule for Geometric Pattern Worksheet

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Patterning - Rule for Geometric Pattern
1
Choose the rule that describes this geometric pattern
2, 10, 50, 250
a
Start at 5 and multiply by 5 for each term
b
Start at 2 and add 5 for each term
c
Start at 3 and multiply by 5 for each term
d
Start at 2 and subtract 5 for each term
e
Start at 6 and multiply by 5 for each term
f
Start at 2 and multiply by 5 for each term
2
2, 6, 18, 54, 162, 486
Choose the rule that describes this geometric pattern
a
Start at 2 and subtract 3 for each term
b
Start at 3 and multiply by 3 for each term
c
Start at 2 and add 3 for each term
d
Start with 2 and 5. Add the prior two terms for each subsequent term
e
Start at 2 and multiply by -1 for each term
f
Start at 2 and multiply by 3 for each term
3
2, 4, 8, 16, 32, 64
Choose the rule that describes this geometric pattern
a
Start at 2 and add 2 for each term
b
Start at 2 and multiply by -2 for each term
c
Start at 2 and multiply by 2 for each term
d
Start at -1 and multiply by 2 for each term
e
Start at -2 and multiply by 2 for each term
f
Start at 2 and subtract 2 for each term
4
Choose the rule that describes this geometric pattern
3, 15, 75, 375
a
Start at 3 and multiply by 5 for each term
b
Start at 3 and multiply by 2 for each term
c
Start at 6 and multiply by 5 for each term
d
Start at 3 and multiply by 7 for each term
e
Start with 3 and 8. Add the prior two terms for each subsequent term
f
Start at 3 and multiply by 9 for each term
5
3, 9, 27, 81, 243, 729
Choose the rule that describes this geometric pattern
a
Start at 5 and multiply by 3 for each term
b
Start at 2 and multiply by 3 for each term
c
Start at 3 and subtract 3 for each term
d
Start at 4 and multiply by 3 for each term
e
Start at 3 and multiply by 3 for each term
f
Start with 3 and 6. Add the prior two terms for each subsequent term
6
3, 6, 12, 24, 48, 96
Choose the rule that describes this geometric pattern
a
Start at 3 and add 2 for each term
b
Start at 3 and multiply by 6 for each term
c
Start at 3 and multiply by 4 for each term
d
Start at 5 and multiply by 2 for each term
e
Start at 4 and multiply by 2 for each term
f
Start at 3 and multiply by 2 for each term
7
Choose the rule that describes this geometric pattern
1, 2, 4, 8, 16, 32
a
Start at 1 and add 2 for each term
b
Start with 1 and 3. Add the prior two terms for each subsequent term
c
Start at 1 and multiply by 0 for each term
d
Start at 1 and multiply by -2 for each term
e
Start at 1 and multiply by 2 for each term
f
Start at 1 and subtract 2 for each term
8
Choose the rule that describes this geometric pattern
3, 12, 48, 192
a
Start at 3 and multiply by 0 for each term
b
Start at 3 and multiply by 4 for each term
c
Start with 3 and 7. Add the prior two terms for each subsequent term
d
Start at 3 and multiply by 8 for each term
e
Start at 3 and add 4 for each term
f
Start at 7 and multiply by 4 for each term