Question 1

Find the perimeter of the following shapes. All sides of the following shapes are equal.

Accepted Answer

Perimeter of a shape= Sum of lengths all sides Perimeter= (4 + 4 + 4 + 4 + 4) cm= 20 cmPerimeter= (5 + 5 + 5 + 5 + 5 + 5) cm= 30 cm

Source: This question is from Grandmothers Quilt, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Grandmothers Quilt: Perimeter, Shapes, Sides, Equal, Grandmothers Quilt, Mathematics. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Grandmothers QuiltQ10: Is the area of shape (a) less than the area of shape (b) given below? Discuss. Preetha and Adrit’s...
Q11: Find the area of your classroom floor in square meters. Take the help of your teacher to measure...
Q12: Find the area and perimeter of the following shapes.
Q13: Find the area and perimeter of the following objects. Use a scale or measuring tape to find the...
Q14: Find the area of a rectangular field whose length is 42 m and breadth is 34 m.
Practice more questions from Grandmothers Quilt &mdash; Mathematics, Class 5 CBSE

Question 2

Draw two rectangles each having the following perimeters.
(a) 26 cm

Accepted Answer

(b) 18 cmSolution:(Answer may vary)NCERT Textbook Page 143Preetha and Adrit’s grandmother is making a rug with square patches. The picture below shows the rug. How many patches have they used to make this?Solution:They have used 90 square patches to make the rug.Preetha and Adrit are trying to cover their table with different shapes. Preetha covered it with triangles and circles. Adrit covered with squares and rectangles.They found that __________, __________ and __________ shapes cover the top of the table without gaps and overlaps. __________ shape leaves gaps.__________ triangles cover Table 1.__________ squares cover Table 3.__________ rectangles cover Table 4Solution:They found that triangle, square and rectangle shapes cover the top of the table without gaps and overlaps. Circle shape leaves gaps.20 triangles cover Table 1.8 squares cover Table 3.12 rectangles cover Table 4.Do circles tile? Can we use them to cover a region?The area of Table 1 is __________ triangle units.The area of Table 3 is __________ square units.The area of Table 4 is __________ rectangle unitsSolution:No, circles do not tile. We cannot use them to cover a region because circles leave gaps.The area of Table 1 is 20 triangle units.The area of Table 3 is 8 square units.The area of Table 4 is 12 rectangle units.Now, try to cover the top of your table without gaps and overlaps with the following objects of same size.(a) Notebooks(b) Lunch boxes(c) Pencil boxes(d) Maths textbooksWhich of the above objects covered the region completely?Solution:Do it yourself.NCERT Textbook Page 144Let Us DoPreetha is playing with tiles. She covers her desk with different shapes as shown below.Look at the different tiles on her desk and answer how many of the following shapes will cover the desk.(a) Green triangles(b) Red triangles(c) Blue squaresSolution:In the given picture, we can see that the desk is made of 54 squares.(а) 2 green triangles = 1 square2 × 54 = 108 green triangles = 54 squaresTherefore, 108 green triangles will cover the desk.(b) 1 red triangle = 4$\frac{1}{2}$ squares = $\frac{9}{2}$ squaresSince there are 54 squares on the desk. Therefore, required number of red triangles = 54 ÷ $\frac{9}{2}$$\frac{54 \times 2}{9}$ = 12Therefore, 12 red triangles will cover the desk.(c) 1 blue square = 1 squareTherefore, 54 blue squares will cover the desk.NCERT Textbook Pages 145-147Let Us Do

Question 3

Compare the areas of the two gardens given below on the square grid. Share your observations.
Area of Garden A = _____ cm square
Area of Garden B = _____ cm square

Accepted Answer

In the given picture, garden A is covered by 10 unit squares each of side 1 cm.Therefore, Area of Garden A = 10 cm square In the given picture, garden B is covered by 12 unit squares, each of side 1 cm. Therefore, Area of Garden B = 12 cm square So, the area of Garden B is larger than the area of Garden A.

Question 4

Trace your palm on the square grid given below and find the approximate area of your palm. Compare the area of your palm with your friend’s palm. Who has a bigger palm?

Accepted Answer

Do it yourself.

Source: This question is from Grandmothers Quilt, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Grandmothers Quilt: Trace, Palm, Square, Grid, Approximate, Area. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Grandmothers QuiltQ10: Is the area of shape (a) less than the area of shape (b) given below? Discuss. Preetha and Adrit’s...
Q11: Find the area of your classroom floor in square meters. Take the help of your teacher to measure...
Q12: Find the area and perimeter of the following shapes.
Q13: Find the area and perimeter of the following objects. Use a scale or measuring tape to find the...
Q14: Find the area of a rectangular field whose length is 42 m and breadth is 34 m.
Practice more questions from Grandmothers Quilt &mdash; Mathematics, Class 5 CBSE

Question 5

Collect leaves of different kinds. Put them on a square grid and find their area.
(a) Name the leaf with the largest area.
(b) Name the leaf with the smallest area.

Accepted Answer

Do it yourself.

Source: This question is from Grandmothers Quilt, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Grandmothers Quilt: Collect, Leaves, Put, Square, Grid, Area. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Grandmothers QuiltQ10: Is the area of shape (a) less than the area of shape (b) given below? Discuss. Preetha and Adrit’s...
Q11: Find the area of your classroom floor in square meters. Take the help of your teacher to measure...
Q12: Find the area and perimeter of the following shapes.
Q13: Find the area and perimeter of the following objects. Use a scale or measuring tape to find the...
Q14: Find the area of a rectangular field whose length is 42 m and breadth is 34 m.
Practice more questions from Grandmothers Quilt &mdash; Mathematics, Class 5 CBSE

Question 6

The following mats are made of square patches of equal size. How many square patches will be required to cover each mat? Would both mats require an equal or different number of patches? Trace and cut out a small square of the size give below and find the area.

Accepted Answer

Do it yourself.Trisha makes these two rectangles. She says, “I increased the area of my rectangle, and the perimeter increased. Do you think this is always true?Solution:To increase the area of a given rectangle, we need to add unit squares along its length or breadth or both the dimensions. In each case the length around the edge will increase and hence the perimeter of the rectangle will increase.No, it is not always true. For example,Let us take a rectangle whose length = 8 cm and breadth = 1 cm.Therefore, perimeter of rectangle= 2(8 + 1) = 18 cmArea of rectangle = 8 × 1 = 8 sq. cmNow rearrange the sides of the rectangle as length = 5 cmand breadth 3 cm Therefore, Perimeter of rectangle = 2(5 + 3)= 16 cmArea of the rectangle = 5 × 3= 15 sq. cmHence it is not always true that increase the area of rectangle, its perimeter increases.NCERT Textbook Pages 147-148Let Us Explore

Question 7

Tick the shapes with the same area. Find the perimeters of these shapes. What do you notice? Discuss.

Accepted Answer

(a) Perimeter = 16 cm, Area = 12 cm square(b) Perimeter = 18 cm; Area = 12 cm square(c) Perimeter = 14 cm; Area = 12 cm square(d) Perimeter = 14 cm; Area = 12 cm square(e) Perimeter = 18 cm; Area = 8 cm square(f) Perimeter = 26 cm; Area = 12 cm squareHere, area of shapes (a), (b), (c), (d), and (f) is same.We can see that shapes can have same area but different perimeters.

Question 8

Tick the shapes with the same perimeter. Find the areas of these shapes. What do you notice? Discuss.

Accepted Answer

(a) Perimeter = 12 cm; Area = 7 cm square(b) Perimeter = 12 cm; Area = 7 cm square(c) Perimeter = 16 cm; Area = 7 cm square(d) Perimeter = 16 cm; Area = 7 cm square(e) Perimeter = 16 cm; Area = 7 cm squareShapes (a) and (b) have same perimeter, and shapes (c), (d), (e) have same perimeter.We observed that, different shapes can have same area and same perimeter.NCERT Textbook Pages 149-150Let Us Do

Question 9

Draw different shapes having the same area as the given shape. Write the perimeter of each shape. What do you notice? Discuss.

Accepted Answer

(а) Area = 18 cm square; Perimeter = 22 cm(b) Area = 18 cm square; Perimeter = 18 cm(c) Area = 18 cm square; Perimeter = 22 cm(d) Area =18 cm square; Perimeter = 26 cmShapes having the same area can have different perimeters. (Answer may vary)

Question 10

Is the area of shape (a) less than the area of shape (b) given below? Discuss.
Preetha and Adrit’s grandmother is making another square patchwork. She arranges the patches as shown below. Can you guess how many patches she will need? How did you find it?

Accepted Answer

Area of shape (a) = 9 unit squaresArea of shape (b) = 6 full unit squares + 6 half unit squares = 9 unit squaresSo, the area of shape (a) is equal to the area shape (b).NCERT Textbook Pages 151-153Let Us Do

Question 11

Find the area of your classroom floor in square meters. Take the help of your teacher to measure the length and breadth of the floor. What is the perimeter of the classroom floor?

Accepted Answer

Do it yourself.

Source: This question is from Grandmothers Quilt, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Grandmothers Quilt: Area, Classroom, Floor, Square, Meters, Take. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Grandmothers QuiltQ10: Is the area of shape (a) less than the area of shape (b) given below? Discuss. Preetha and Adrit’s...
Q12: Find the area and perimeter of the following shapes.
Q13: Find the area and perimeter of the following objects. Use a scale or measuring tape to find the...
Q14: Find the area of a rectangular field whose length is 42 m and breadth is 34 m.
Q15: The area of a rectangular garden is 64 square m and its length is 16 m. What is its breadth?
Practice more questions from Grandmothers Quilt &mdash; Mathematics, Class 5 CBSE

Question 12

Find the area and perimeter of the following shapes.

Accepted Answer

(a) Length of the square = 6 cmArea = Length × Length= 6 × 6= 36 square cmPerimeter = 4 × Length= 4 × 6= 24 cm(b) Length = 4 cm, Breadth = 7 cmArea of rectangle = Length × Breadth= 4 × 7= 28 square cm Perimeter of rectangle– = 2 × Length + 2 × Breadth= 2 × 4 + 2 × 7= 8 + 14= 22 cm(c) Length = 12 cm, Breadth = 4 cmArea of rectangle = Length × Breadth= 12 × 4= 48 square cmPerimeter of rectangle= 2 × Length + 2 × Breadth= 2 × 12 + 2 × 4= 24 + 8= 32 cm(d) Length of the square = 3 cmArea of square = Length × Length= 3 × 3= 9 square cmPerimeter of square = 4 × length= 4 × 3= 12 cm(e) Length = 6 cm, Breadth = 5 cmArea of rectangle = Length × Breadth = 6 × 5= 30 square cmPerimeter of rectangle= 2 × Length + 2 × Breadth= 2 × 6 + 2 × 5= 12 + 10= 22 cm

Question 13

Find the area and perimeter of the following objects. Use a scale or measuring tape to find the length and the breadth of each of the objects.

Accepted Answer

Do it yourself.

Source: This question is from Grandmothers Quilt, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Grandmothers Quilt: Area, Perimeter, Objects, Use, Scale, Measuring. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Grandmothers QuiltQ10: Is the area of shape (a) less than the area of shape (b) given below? Discuss. Preetha and Adrit’s...
Q11: Find the area of your classroom floor in square meters. Take the help of your teacher to measure...
Q12: Find the area and perimeter of the following shapes.
Q14: Find the area of a rectangular field whose length is 42 m and breadth is 34 m.
Q15: The area of a rectangular garden is 64 square m and its length is 16 m. What is its breadth?
Practice more questions from Grandmothers Quilt &mdash; Mathematics, Class 5 CBSE

Question 14

Find the area of a rectangular field whose length is 42 m and breadth is 34 m.

Accepted Answer

Length = 42 m, Breadth = 34 mArea of rectangle = Length × Breadth= 42 × 34= 1428 square mTherefore, the area of the rectangular field is 1428 square m.

Source: This question is from Grandmothers Quilt, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Grandmothers Quilt: Area, Rectangular, Field, Length, Breadth, Grandmothers Quilt. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Grandmothers QuiltQ10: Is the area of shape (a) less than the area of shape (b) given below? Discuss. Preetha and Adrit’s...
Q11: Find the area of your classroom floor in square meters. Take the help of your teacher to measure...
Q12: Find the area and perimeter of the following shapes.
Q13: Find the area and perimeter of the following objects. Use a scale or measuring tape to find the...
Q15: The area of a rectangular garden is 64 square m and its length is 16 m. What is its breadth?
Practice more questions from Grandmothers Quilt &mdash; Mathematics, Class 5 CBSE

Question 15

The area of a rectangular garden is 64 square m and its length is 16 m. What is its breadth?

Accepted Answer

Area = 64 square m, Length = 16mArea of rectangle = Length × Breadth64 = 16 × BreadthBreadth = 64 + 16 = 4 mTherefore, the breadth of rectangular garden is 4 m.

Source: This question is from Grandmothers Quilt, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Grandmothers Quilt: Area, Rectangular, Garden, Square, Length, Breadth. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Grandmothers QuiltQ10: Is the area of shape (a) less than the area of shape (b) given below? Discuss. Preetha and Adrit’s...
Q11: Find the area of your classroom floor in square meters. Take the help of your teacher to measure...
Q12: Find the area and perimeter of the following shapes.
Q13: Find the area and perimeter of the following objects. Use a scale or measuring tape to find the...
Q14: Find the area of a rectangular field whose length is 42 m and breadth is 34 m.
Practice more questions from Grandmothers Quilt &mdash; Mathematics, Class 5 CBSE

Question 16

Find the area of the following figure with the dimensions as marked in the figure.

Accepted Answer

Length = 32 cm,Breadth = (6 + 12) cm = 18 cmArea of the rectangular figure = Length × Breadth= 32 × 18= 576 square cm

Source: This question is from Grandmothers Quilt, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Grandmothers Quilt: Area, Figure, Dimensions, Marked, Grandmothers Quilt, Mathematics. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Grandmothers QuiltQ10: Is the area of shape (a) less than the area of shape (b) given below? Discuss. Preetha and Adrit’s...
Q11: Find the area of your classroom floor in square meters. Take the help of your teacher to measure...
Q12: Find the area and perimeter of the following shapes.
Q13: Find the area and perimeter of the following objects. Use a scale or measuring tape to find the...
Q14: Find the area of a rectangular field whose length is 42 m and breadth is 34 m.
Practice more questions from Grandmothers Quilt &mdash; Mathematics, Class 5 CBSE