Class 5 Exam  >  Class 5 Notes  >  Mathematics for Class 5: NCERT  >  Worksheet: How Many Squares? - 2

How Many Square? - 2 Class 5 Worksheet Maths Chapter 3

Q1: Fill in the blanks.

(i) A square with 1 cm length will have an area of _______.

(ii) Area of a square with side 2 m is _______ square metres.
How Many Square? - 2 Class 5 Worksheet Maths Chapter 3

(iii) Length of a boundary is called  _______.

(iv) Measure of the space enclosed in a plane figure is called  _______.

Q2: Answer the following Questions.

(i) Find the perimeter and area of the figure by counting the square.

How Many Square? - 2 Class 5 Worksheet Maths Chapter 3

(ii) Draw lines and divide the figure into parts having equal area as two triangles.
How Many Square? - 2 Class 5 Worksheet Maths Chapter 3

(iii) Draw your own tile pattern using triangles.

(iv) Complete the shapes as directed:
How Many Square? - 2 Class 5 Worksheet Maths Chapter 3

Draw two more sides so that the area is 8 square cm.

(v) Draw one straight line in the following rectangle to divide it into two equal triangles. What is the area of each of the triangles?
How Many Square? - 2 Class 5 Worksheet Maths Chapter 3

You can access the solutions to this worksheet here.

The document How Many Square? - 2 Class 5 Worksheet Maths Chapter 3 is a part of the Class 5 Course Mathematics for Class 5: NCERT.
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FAQs on How Many Square? - 2 Class 5 Worksheet Maths Chapter 3

1. What is the best method to count the number of squares in a grid?
Ans.The best method to count the number of squares in a grid is to consider squares of different sizes separately. For an \( n \times n \) grid, you can count the squares of size \( 1 \times 1 \), \( 2 \times 2 \), up to \( n \times n \). The formula for the total number of squares is \( \sum_{k=1}^{n} (n-k+1)^2 \), where \( k \) is the size of the square.
2. How can I visualize counting squares in a larger grid?
Ans.Visualizing counting squares in a larger grid can be done by drawing the grid and marking all possible squares of different sizes. You can use color coding for each size to help distinguish them. This approach makes it easier to see overlaps and ensure accurate counting.
3. Are there any online tools or apps to help count squares in a grid?
Ans.Yes, there are several online tools and apps designed for educational purposes that allow users to create grids and visually count squares. These tools often feature drag-and-drop functionalities to create different grid sizes and highlight squares, making the counting process interactive.
4. What are some common mistakes to avoid when counting squares?
Ans.Common mistakes include failing to account for overlapping squares and miscounting squares of different sizes. It's important to systematically check each size and ensure that all squares are counted without duplication or omission.
5. How does the concept of counting squares apply in real-life scenarios?
Ans.Counting squares can apply in various real-life scenarios such as architecture, where space planning involves understanding area layouts. It also applies in computer graphics for pixelation, tiling patterns in design, and even in problem-solving strategies in mathematics competitions.
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