Class-5, Mathematics, Can You See the Patterns? worksheet | Live ... - Free Printable

Problem Analysis and Solution

The worksheet involves identifying patterns in sequences of numbers and completing visual patterns. Let's solve each part step by step.

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#### Part 1: Growth/Reduction Intervals for Sequences

We need to determine the growth or reduction intervals for the given sequences.

##### (a) Sequence: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
- Pattern: Each number increases by a constant value.
- Calculation:
- \( 4 - 2 = 2 \)
- \( 6 - 4 = 2 \)
- \( 8 - 6 = 2 \)
- This pattern continues.
- Conclusion: The numbers grow by 2.

##### (b) Sequence: 45, 40, 35, 30, 25, 20, 15, 10, 5
- Pattern: Each number decreases by a constant value.
- Calculation:
- \( 40 - 45 = -5 \)
- \( 35 - 40 = -5 \)
- \( 30 - 35 = -5 \)
- This pattern continues.
- Conclusion: The numbers reduce by 5.

##### (c) Sequence: 5, 10, 15, 20, 25, 30, 35, 40, 45
- Pattern: Each number increases by a constant value.
- Calculation:
- \( 10 - 5 = 5 \)
- \( 15 - 10 = 5 \)
- \( 20 - 15 = 5 \)
- This pattern continues.
- Conclusion: The numbers grow by 5.

##### (d) Sequence: 27, 24, 21, 18, 15, 12, 9, 6, 3
- Pattern: Each number decreases by a constant value.
- Calculation:
- \( 24 - 27 = -3 \)
- \( 21 - 24 = -3 \)
- \( 18 - 21 = -3 \)
- This pattern continues.
- Conclusion: The numbers reduce by 3.

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#### Final Answers for Part 1:
- (a) These numbers grow by 2.
- (b) These numbers reduce by 5.
- (c) These numbers grow by 5.
- (d) These numbers reduce by 3.

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#### Part 2: Completing Visual Patterns

We need to identify the next element in each visual sequence.

##### (a) Sequence of Faces
- Sequence:
- 😊 (happy face)
- 😐 (neutral face)
- 😕 (sad face)
- Pattern: The faces change in a specific order: happy → neutral → sad.
- Next Element: After the sad face, the sequence repeats with the happy face.
- Answer: 😊 (happy face).

##### (b) Sequence of Arrows
- Sequence:
- ↔ (horizontal arrows pointing left and right)
- ↕ (vertical arrows pointing up and down)
- ↰ (diagonal arrows pointing left-up and right-down)
- Pattern: The arrows change direction in a specific order: horizontal → vertical → diagonal.
- Next Element: After the diagonal arrows, the sequence repeats with the horizontal arrows.
- Answer: ↔ (horizontal arrows pointing left and right).

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#### Final Answers for Part 2:
- (a) The next face is 😊.
- (b) The next set of arrows is ↔.

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Boxed Final Answers:

1.
- (a) 2
- (b) 5
- (c) 5
- (d) 3
2.
- (a) 😊
- (b) ↔

\boxed{
\begin{array}{l}
\text{1. (a) 2, (b) 5, (c) 5, (d) 3} \\
\text{2. (a) 😊, (b) ↔}
\end{array}
}