CBSE Class 4 Mathematics NCERT Solutions: Chapter 1 - Building with Bricks

NCERT Solutions PDF Class 4 PDF

This chapter, "Building with Bricks," for CBSE Class 4 Mathematics, introduces students to the fascinating world of patterns and shapes using bricks. The NCERT Solutions provide clear explanations and engaging activities. Students will explore how different patterns can be created, identify which patterns are circular, and understand the concept of mirror halves by drawing lines of symmetry. They will also learn about the faces of a brick, count them, determine if any face is a square, and practice drawing the smallest face. These solutions are designed to help students visualize geometric concepts and develop their observation skills, making them an excellent resource for exam preparation and understanding the practical applications of geometry.

Quick info

BoardCBSE
ClassClass 4
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 1

Chapter summary

Chapter 1, "Building with Bricks," focuses on foundational geometry concepts for Class 4 Mathematics. The NCERT Solutions cover pattern recognition, including circular patterns and symmetry (mirror halves). Students will also identify and draw the faces of a brick, distinguishing between different sizes and shapes, including squares. The exercises encourage creativity by asking students to design their own floor patterns.

Learning outcomes

  • Identify circular patterns.
  • Understand and illustrate mirror halves (symmetry).
  • Design new floor patterns.
  • Count the total number of faces on a brick.
  • Determine if a brick's face is a square.
  • Draw the smallest face of a brick.

Topics covered

Paper topics

  • Patterns
  • Circular Patterns
  • Symmetry
  • Mirror Halves
  • Drawing Lines of Symmetry
  • Brick Faces
  • Counting Faces
  • Square Faces
  • Rectangular Faces
  • Drawing Shapes
  • Geometric Shapes
  • Building with Bricks

Important topics

  • Identifying and creating patterns
  • Understanding and drawing lines of symmetry
  • Counting and identifying brick faces
  • Drawing the smallest face of a brick

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Questions and Solutions

Question 1

Which pattern is made in a circle? In which pattern can you show mirror halves? Draw a line. Now you draw some new floor patterns.
Solution:

Let's analyze the patterns provided (assuming figures J, and others are visible to the student):

  • Pattern made in a circle: The pattern shown in figure J is designed to be arranged in a circular formation.
  • Pattern showing mirror halves: Look for a pattern where you can draw a straight line down the middle, and both sides are exactly the same. For example, if a pattern looks the same when folded along a line, you can draw that line. You can draw this line on the pattern that has this symmetry.
  • Drawing new floor patterns: Now, use your creativity! You can draw your own designs for floor patterns. Think about shapes like squares, rectangles, triangles, or even parts of circles. You can repeat shapes to make a pattern, or use different shapes next to each other. Try to make a pattern that looks interesting and covers a floor area.

Question 1

How many faces in all does a brick have? Is any face a square? Draw the smallest face of the brick.
Solution:

Let's examine a standard brick:

  • Number of faces: A brick is shaped like a rectangular box (a cuboid). If you count all the flat surfaces, a brick has 6 faces in total. There are the top and bottom faces, the front and back faces, and the two side faces.
  • Is any face a square?: Usually, the faces of a brick are rectangles. However, it is possible for one or more faces to be a square if the length and width of that face are equal. You need to look closely at the specific brick or its drawing to determine this.
  • Draw the smallest face: Observe the brick carefully. You will notice that some faces might be larger than others. Identify the face that has the smallest area. Then, draw this smallest face. It will likely be a rectangle, but could be a square if the brick's dimensions are such.

Common mistakes

  • Confusing different types of patterns.
  • Difficulty in identifying lines of symmetry.
  • Inaccurate counting of brick faces.
  • Mistaking rectangular faces for squares.

Revision tips

  • Practice drawing various patterns and identify symmetry.
  • Use real bricks or brick shapes to visualize faces and count them.
  • Sketch the smallest face of a brick carefully.
  • Create your own unique floor patterns to reinforce understanding.

Practice MCQs

Q1. Which pattern is described as being made in a circle?

Q2. What concept is illustrated by drawing a line on a pattern to show mirror halves?

Q3. How many faces does a standard brick typically have?

Q4. Can a face of a brick be a square?

Q5. What is the task related to the smallest face of a brick?

Frequently asked questions

What is the main focus of Chapter 1, 'Building with Bricks' for Class 4 Maths?

This chapter focuses on understanding patterns, identifying symmetry (mirror halves), and learning about the faces of a brick, including counting them and drawing different shapes.

How do the NCERT Solutions help students with patterns?

The solutions help students identify specific types of patterns, like those made in a circle, and encourage them to create their own new patterns.

What does it mean to show 'mirror halves'?

Showing mirror halves means finding a line on a shape or pattern where if you fold it, both halves match exactly, like a reflection in a mirror. This is also known as symmetry.

How many faces does a brick have according to the NCERT Solutions?

A brick has 6 faces in total. The solutions guide students to count these faces.

What should students do with the smallest face of a brick?

Students are asked to observe the brick and draw a picture of its smallest face.

Are these solutions suitable for exam revision?

Yes, these solutions provide clear explanations and practice exercises on key concepts like patterns and shapes, making them very useful for revising the chapter before exams.

Content reviewed by the NCERT Help team. Editorial Team and update policy

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