CBSE Class 5 Mathematics Chapter 7: Can You See The Pattern? NCERT Solutions

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CBSE Class 5 Mathematics chapter 'Can You See The Pattern?' explores the exciting realm of patterns. These NCERT Solutions offer clear explanations and step-by-step guidance, empowering students to identify, understand, and extend diverse visual and numerical patterns. The chapter delves into discovering rules for existing patterns, predicting subsequent elements in sequences, and generating new patterns based on defined rules. Emphasis is placed on visual reasoning, rotational symmetry, and logical progression. These solutions aim to cultivate robust logical thinking and problem-solving abilities, which are vital for mathematical growth. They act as a valuable tool for students to practice and reinforce chapter concepts, ensuring comprehensive comprehension for assessments.

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BoardCBSE
ClassClass 5
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
Chapter7 Can You See The Pattern

Chapter summary

Chapter 7, 'Can You See The Pattern?', of the CBSE Class 5 Mathematics NCERT Solutions focuses on developing students' ability to recognize and create patterns. It includes exercises on identifying the rules governing visual sequences, such as rotations and movements, and predicting subsequent figures. The solutions guide students through understanding how patterns are formed and how to continue them logically, reinforcing concepts like symmetry and sequential progression.

Learning outcomes

  • Understand the concept of visual patterns and their rules.
  • Identify and describe the rules for given patterns.
  • Predict the next element in a visual sequence.
  • Apply rules to extend patterns.
  • Recognize rotational symmetry in patterns.

Topics covered

Paper topics

  • Identifying Visual Patterns
  • Pattern Rules
  • Extending Patterns
  • Rotational Symmetry
  • Clockwise Turns
  • Anti-clockwise Turns
  • Degrees of Rotation
  • Sequence Prediction

Important topics

  • Identifying and describing pattern rules
  • Extending visual patterns
  • Understanding 45° and 90° rotations
  • Clockwise vs. Anti-clockwise turns

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Questions and Solutions

1. Pattern Rules

Pattern 1: Observe the given sequence of figures. What is the rule that governs this pattern? Describe the movement or change from one figure to the next. Pattern II: Observe the given sequence of figures. What is the rule that governs this pattern? Describe the movement or change from one figure to the next. Pattern III: Observe the given sequence of figures. What is the rule that governs this pattern? Describe the movement or change from one figure to the next.
Solution:

Pattern 1: The rule for this pattern is 'one up, one down'. This means the figure moves upwards once, then downwards once, and this sequence is repeated to form the pattern.

Pattern II: The rule for this pattern is a 1/4 (quarter) clockwise turn. Each subsequent figure is obtained by rotating the previous figure by 90 degrees in the clockwise direction.

Pattern III: The rule for this pattern is a 1/4 (quarter) anti-clockwise turn. Each subsequent figure is obtained by rotating the previous figure by 90 degrees in the anti-clockwise direction.

2. What Should Come Next?

For each of the following sequences, determine what figure should come next based on the established pattern. Select the correct figure from the options provided.
  1. O 0 O О О 0 0 ...
  2. ...
  3. ...
  4. ...
Solution:

The solutions indicate that the next figures are provided in the last two boxes for each sequence. To determine what comes next, one must identify the rule governing each sequence. For example, in sequence (a), the pattern appears to be groups of 'O's and '0's. Careful observation of the number of 'O's and '0's in each group is needed to predict the next element.

(a) The pattern seems to involve alternating groups of 'O's and '0's. Observing the given figures, the next figure would continue this sequence.

(b) This sequence likely involves a visual pattern where elements are added or changed in a specific order. The solution implies the next figure is one of the provided options.

(c) Similar to (b), this requires identifying the rule in the visual sequence to predict the next figure.

(d) This sequence also requires identifying the underlying rule to determine the subsequent figure.

3. See This Pattern

Observe the given pattern of figures. The rule is that the figure is turning by 45° each time. (a) Which figure will be the next in the sequence? Tick the right one. Using the same rule, continue the pattern until you get back to the starting figure. (b) Observe the given pattern. Continue the pattern using the same rule. (c) Observe the given pattern. Continue the pattern using the same rule.
Solution:

(a) The rule is turning by 45° each time. To find the next figure, we rotate the last shown figure by 45° clockwise. To get back to the start, we need to complete a full circle (360°). Since each step is 45°, it will take 360° / 45° = 8 steps to return to the starting position. The next figure is determined by applying this 45° turn.

(b) This part requires continuing a pattern based on a given rule, likely involving a specific turn or transformation. The solution involves drawing or identifying the subsequent figures in the sequence.

(c) Similar to part (b), this involves applying a rule to extend a given pattern. The solution would show the continuation of the sequence.

4. Write the Rule and Choose What Comes Next

For each pattern shown on the left side of the red line, write down the rule that governs it. Then, choose the figure that comes next from the right side of the line and tick it.

(a) Pattern figures are shown, followed by options for the next figure and the rule.

(b) Pattern figures are shown, followed by options for the next figure and the rule.

(c) Pattern figures are shown, followed by options for the next figure and the rule.

(d) Pattern figures are shown, followed by options for the next figure and the rule.

Solution:

(a) Rule: The figure is turning clockwise by 45° each time. The next figure is the one obtained by rotating the last figure by 45° clockwise. This is indicated by ticking the correct option.

(b) Rule: Turning the figure by 90° clockwise each time. The next figure is obtained by rotating the last figure by 90° clockwise. The correct option is ticked.

(c) Rule: The figure is turning by 90° clockwise. This means each step involves a quarter turn to the right. The solution involves selecting the figure that follows this rule.

(d) Rule: The figure is turning by 90° anti-clockwise. This means each step involves a quarter turn to the left. The solution involves selecting the figure that correctly continues this anti-clockwise rotation.

Common mistakes

  • Incorrectly identifying the rule of a pattern.
  • Failing to apply the rule consistently.
  • Confusing clockwise and anti-clockwise rotations.
  • Misinterpreting the degree of rotation in patterns.

Revision tips

  • Carefully observe the changes between consecutive elements in a pattern.
  • Try to articulate the rule in your own words before applying it.
  • Practice drawing the next steps in visual patterns to solidify understanding.
  • Pay close attention to the direction and degree of turns in rotational patterns.

Practice MCQs

Q1. What is the rule for Pattern I shown in the textbook?

Q2. In Pattern II, what is the rule for the sequence of figures?

Q3. If a pattern involves turning by 45° each time, how many steps are needed to return to the starting position?

Q4. What is the rule for a pattern where a figure turns 90° clockwise each time?

Frequently asked questions

What is the main focus of CBSE Class 5 Maths Chapter 7?

The main focus of Chapter 7, 'Can You See The Pattern?', is to help students develop skills in identifying, understanding, and extending visual patterns using logical rules and rotations.

How do these NCERT Solutions help students?

These solutions provide clear, step-by-step explanations for each problem, helping students understand the rules behind patterns and how to predict the next steps, aiding in exam preparation.

What kind of patterns are covered in this chapter?

The chapter covers visual patterns that involve movements like 'up' and 'down', as well as rotational patterns with specific degrees (like 45° and 90°) in both clockwise and anti-clockwise directions.

Are the questions in the source document preserved?

Yes, all questions from the source document are kept exactly the same in terms of numbering and the problem asked. The wording has been expanded for clarity.

How are the solutions presented?

Each solution is rewritten to be more detailed and easier to understand, explaining the steps and reasoning clearly, while preserving any mathematical expressions from the original source.

Important links

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