CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set 01

Practice Worksheets for Class 10 Mathematics: Chapter 11 Construction

Explore reliable practice materials for Chapter 11 Construction tailored for Class 10 learners. Utilizing these Mathematics worksheets ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

Practice Chapter 11 Construction Worksheets for Class 10 Mathematics

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Constructions

Q.- Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation. 
 
Sol. In order to do the desired construction,we follow the following steps: 
 
Step I : Take a point O on the plane of the paper and draw a circle of radius OA = 4 cm. 
Also, draw a concentric circle of radius 
OB = 6 cm. 
 
Step II : Find the mid-point C of OB and draw a circle of radius OC = BC. Suppose this circle intersects the circle of radius 4 cm at P and Q.
construction notes 3
 
Step III : Join BP and BQ to get the desired tangents from a point B on the circle of radius 6 cm. By actual measurement, we find the BP = BQ = 4.5 cm
 
Justification: In ΔBPO, we have
OB = 6 cm and OP = 4 cm
∴ OB2= BP2 + OP2 [Using Pythagoras theorem]
=> BP = √OB2 - OP2
=> BP = √36 -16 
=√20 cm = 4.47 cm~4.5 cm
 
Q.- Draw a circle of radius 4 cm with centre O.Draw a diameter POQ. Through P or Q draw tangent to the circle.
 
Sol. Steps of Construction
 
Step I : Taking O as centre and radius equal to 4 cm draw a circle.
 
Step II : Draw diameter POQ.
 
Step III : Construct ∠PQT = 90º
 
construction notes 4
 
Step IV : Produce TQ to T' to obtain the required tangent TQT'
 

 

CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A 1

CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A 2

CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A 3

CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A 4

CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A 5

CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A 6

 

Please click on below link to download CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A

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Exam Preparation Worksheet for Class 10 Mathematics Chapter 11 Construction

Chapter Practice Questions for Class 10 Mathematics

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FAQs

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You can download the teacher-verified PDF for CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set 01 from StudiesToday.com. These practice sheets for Class 10 Mathematics are designed as per the latest CBSE academic session.

Are these Mathematics Class 10 worksheets based on the 2026-27 competency-based pattern?

Yes, our CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set 01 includes a variety of questions like Case-based studies, Assertion-Reasoning, and MCQs as per the 50% competency-based weightage in the latest curriculum for Class 10.

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Yes, we have provided detailed solutions for CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set 01 to help Class 10 and follow the official CBSE marking scheme.

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Daily practice with these Mathematics worksheets helps in identifying understanding gaps. It also improves question solving speed and ensures that Class 10 students get more marks in CBSE exams.

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