Math worksheet focusing on number patterns, specifically multiples of 5, with sequences to complete and analyze.
A math worksheet titled "Number Patterns (multiples of 5)" with sequences of numbers to complete and analyze, featuring a colorful fish illustration and spaces for name and class.
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Problem: Complete each sequence and analyze the number patterns.
The task involves identifying the pattern in each sequence of numbers and completing it. Let's solve each sequence step by step.
---
#### Sequence 1:
15, 25, 35, 45, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 25 - 15 = 10 \)
- \( 35 - 25 = 10 \)
- \( 45 - 35 = 10 \)
The pattern is that each term increases by 10.
- Completion:
- Next term: \( 45 + 10 = 55 \)
- Following term: \( 55 + 10 = 65 \)
- Answer:
\( 15, 25, 35, 45, 55, 65 \)
Pattern: Increase by 10
---
#### Sequence 2:
0, 15, 30, 45, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 15 - 0 = 15 \)
- \( 30 - 15 = 15 \)
- \( 45 - 30 = 15 \)
The pattern is that each term increases by 15.
- Completion:
- Next term: \( 45 + 15 = 60 \)
- Following term: \( 60 + 15 = 75 \)
- Answer:
\( 0, 15, 30, 45, 60, 75 \)
Pattern: Increase by 15
---
#### Sequence 3:
10, 35, 60, 85, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 35 - 10 = 25 \)
- \( 60 - 35 = 25 \)
- \( 85 - 60 = 25 \)
The pattern is that each term increases by 25.
- Completion:
- Next term: \( 85 + 25 = 110 \)
- Following term: \( 110 + 25 = 135 \)
- Answer:
\( 10, 35, 60, 85, 110, 135 \)
Pattern: Increase by 25
---
#### Sequence 4:
80, 75, 70, 65, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 75 - 80 = -5 \)
- \( 70 - 75 = -5 \)
- \( 65 - 70 = -5 \)
The pattern is that each term decreases by 5.
- Completion:
- Next term: \( 65 - 5 = 60 \)
- Following term: \( 60 - 5 = 55 \)
- Answer:
\( 80, 75, 70, 65, 60, 55 \)
Pattern: Decrease by 5
---
#### Sequence 5:
10, 20, 30, 40, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 20 - 10 = 10 \)
- \( 30 - 20 = 10 \)
- \( 40 - 30 = 10 \)
The pattern is that each term increases by 10.
- Completion:
- Next term: \( 40 + 10 = 50 \)
- Following term: \( 50 + 10 = 60 \)
- Answer:
\( 10, 20, 30, 40, 50, 60 \)
Pattern: Increase by 10
---
#### Sequence 6:
95, 85, 75, 65, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 85 - 95 = -10 \)
- \( 75 - 85 = -10 \)
- \( 65 - 75 = -10 \)
The pattern is that each term decreases by 10.
- Completion:
- Next term: \( 65 - 10 = 55 \)
- Following term: \( 55 - 10 = 45 \)
- Answer:
\( 95, 85, 75, 65, 55, 45 \)
Pattern: Decrease by 10
---
#### Sequence 7:
0, 30, 60, 90, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 30 - 0 = 30 \)
- \( 60 - 30 = 30 \)
- \( 90 - 60 = 30 \)
The pattern is that each term increases by 30.
- Completion:
- Next term: \( 90 + 30 = 120 \)
- Following term: \( 120 + 30 = 150 \)
- Answer:
\( 0, 30, 60, 90, 120, 150 \)
Pattern: Increase by 30
---
#### Sequence 8:
5, 20, 35, 50, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 20 - 5 = 15 \)
- \( 35 - 20 = 15 \)
- \( 50 - 35 = 15 \)
The pattern is that each term increases by 15.
- Completion:
- Next term: \( 50 + 15 = 65 \)
- Following term: \( 65 + 15 = 80 \)
- Answer:
\( 5, 20, 35, 50, 65, 80 \)
Pattern: Increase by 15
---
#### Sequence 9:
10, 15, 20, 25, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 15 - 10 = 5 \)
- \( 20 - 15 = 5 \)
- \( 25 - 20 = 5 \)
The pattern is that each term increases by 5.
- Completion:
- Next term: \( 25 + 5 = 30 \)
- Following term: \( 30 + 5 = 35 \)
- Answer:
\( 10, 15, 20, 25, 30, 35 \)
Pattern: Increase by 5
---
#### Sequence 10:
90, 75, 60, 45, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 75 - 90 = -15 \)
- \( 60 - 75 = -15 \)
- \( 45 - 60 = -15 \)
The pattern is that each term decreases by 15.
- Completion:
- Next term: \( 45 - 15 = 30 \)
- Following term: \( 30 - 15 = 15 \)
- Answer:
\( 90, 75, 60, 45, 30, 15 \)
Pattern: Decrease by 15
---
#### Sequence 11:
45, 50, 55, 60, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 50 - 45 = 5 \)
- \( 55 - 50 = 5 \)
- \( 60 - 55 = 5 \)
The pattern is that each term increases by 5.
- Completion:
- Next term: \( 60 + 5 = 65 \)
- Following term: \( 65 + 5 = 70 \)
- Answer:
\( 45, 50, 55, 60, 65, 70 \)
Pattern: Increase by 5
---
#### Sequence 12:
95, 80, 65, 50, __, __
- Pattern Analysis:
The difference between consecutive terms is:
- \( 80 - 95 = -15 \)
- \( 65 - 80 = -15 \)
- \( 50 - 65 = -15 \)
The pattern is that each term decreases by 15.
- Completion:
- Next term: \( 50 - 15 = 35 \)
- Following term: \( 35 - 15 = 20 \)
- Answer:
\( 95, 80, 65, 50, 35, 20 \)
Pattern: Decrease by 15
---
Final Answer:
\[
\boxed{
\begin{array}{ll}
15, 25, 35, 45, 55, 65 & \text{Increase by 10} \\
0, 15, 30, 45, 60, 75 & \text{Increase by 15} \\
10, 35, 60, 85, 110, 135 & \text{Increase by 25} \\
80, 75, 70, 65, 60, 55 & \text{Decrease by 5} \\
10, 20, 30, 40, 50, 60 & \text{Increase by 10} \\
95, 85, 75, 65, 55, 45 & \text{Decrease by 10} \\
0, 30, 60, 90, 120, 150 & \text{Increase by 30} \\
5, 20, 35, 50, 65, 80 & \text{Increase by 15} \\
10, 15, 20, 25, 30, 35 & \text{Increase by 5} \\
90, 75, 60, 45, 30, 15 & \text{Decrease by 15} \\
45, 50, 55, 60, 65, 70 & \text{Increase by 5} \\
95, 80, 65, 50, 35, 20 & \text{Decrease by 15}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet for 5th grade.