Read and download the CBSE Class 10 Constructions Sure Shot Questions. Designed for 2026-27, this advanced study material provides Class 10 Mathematics students with detailed revision notes, sure-shot questions, and detailed answers. Prepared by expert teachers and they follow the latest CBSE, NCERT, and KVS guidelines to ensure you get best scores.
Advanced Study Material for Class 10 Mathematics Chapter 11 Constructions
To achieve a high score in Mathematics, students must go beyond standard textbooks. This Class 10 Chapter 11 Constructions study material includes conceptual summaries and solved practice questions to improve you understanding.
Class 10 Mathematics Chapter 11 Constructions Notes and Questions
CBSE Class 10 Constructions Sure Shot Questions. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations. Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.
1. Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 5.5 cm from its centre.
2. Construct a similar DABC such that each of its side is 2 /3 of the corresponding sides of DABC. It is given that AB = 5 cm, AC = 6cm and BC = 7cm.
3. Draw a line segment AB of length 4.4cm. Taking A as centre, draw a circle of radius 2cm and taking B as centre, draw another circle of radius 2.2cm. Construct tangents to each circle from the centre of the other circle.
4. Draw a pair of tangents to a circle of radius 2 cm that are inclined to each other at an angle of 900.
5. Draw a pair of tangents to a circle of radius 3 cm that are inclined to each other at an angle of 500.
6. Construct a tangent to a circle of radius 2 cm from a point on the concentric circle of radius 2.6cm and measure its length. Also, verify the measurements by actual calculations.
7. Construct an isosceles triangle whose base is 7 cm and altitude 4 cm and then construct another similar triangle whose sides are 3 /2 time the corresponding sides of the isosceles triangle.
8. Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 1 (1 /2) times the corresponding sides of the isosceles triangle.
9. Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and <ABC = 60°. Then construct a triangle whose sides are 3 /4 of the corresponding sides of the triangle ABC.
10. Draw a triangle ABC with side BC = 7 cm, <B = 45°, <A = 105°. Then, construct a triangle whose sides are 4/3 times the corresponding sides of DABC.
11. Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 5 /3 times the corresponding sides of the given triangle.
12. Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.
13. Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.
14. 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.
15. Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.
16. Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.
17. Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
18. Draw a circle of radius 5cm. Take a point P on it. Without using the centre of the circle, construct a tangent at the point P. Write the steps of construction also.
19. Draw a circle of diameter 12cm. From a point P, 10cm away from its centre, construct a pair of tangent to the circle. Measure the lengths of the tangent segments.
20. Draw a circle of radius 5cm. from a point P, 7cm away from its centre, construct a pair of tangents to the circle. Measure the length of the tangent segments.
21. Draw a circle of radius 7cm. From a point P, 8cm away from its centre, Construct a pair tangents to the circle. Measure the length of the tangent segments.
22. Draw a right angled triangle ABC with AB = 4.5cm, AC = 7.5cm and ∠B = 900. Construct its incircle. Write the steps of construction.
23. Construct a triangle ABC in which BC = 13cm, CA = 5cm and AB = 12cm. Draw its incircle and measure its radius.
24. Construct a triangle ABC in which AB = 3cm, BC = 4cm and AC = 5cm. Draw the circumcircle of triangle ABC.
25. Construct the circumcircle of an equilateral triangle with side 6cm. Write the steps of construction.
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CBSE Class 10 Mathematics Chapter 11 Constructions Study Material
Students can find all the important study material for Chapter 11 Constructions on this page. This collection includes detailed notes, Mind Maps for quick revision, and Sure Shot Questions that will come in your CBSE exams. This material has been strictly prepared on the latest 2026 syllabus for Class 10 Mathematics. Our expert teachers always suggest you to use these tools daily to make your learning easier and faster.
Chapter 11 Constructions Expert Notes & Solved Exam Questions
Our teachers have used the latest official NCERT book for Class 10 Mathematics to prepare these study material. We have included previous year examination questions and also step-by-step solutions to help you understand the marking scheme too. After reading the above chapter notes and solved questions also solve the practice problems and then compare your work with our NCERT solutions for Class 10 Mathematics.
Complete Revision for Mathematics
To get the best marks in your Class 10 exams you should use Mathematics Sample Papers along with these chapter notes. Daily practicing with our online MCQ Tests for Chapter 11 Constructions will also help you improve your speed and accuracy. All the study material provided on studiestoday.com is free and updated regularly to help Class 10 students stay ahead in their studies and feel confident during their school tests.
Our advanced study package for Chapter Chapter 11 Constructions includes detailed concepts, diagrams, Mind Maps, and explanation of complex topics to ensure Class 10 students learn as per syllabus for 2026 exams.
The Mind Maps provided for Chapter Chapter 11 Constructions act as visual anchors which will help faster recall during high-pressure exams.
Yes, teachers use our Class 10 Mathematics resources for lesson planning as they are in simple language and have lot of solved examples.
Yes, You can download the complete, mobile-friendly PDF of the Mathematics Chapter Chapter 11 Constructions advanced resources for free.
Yes, our subject matter experts have updated the Chapter Chapter 11 Constructions material to align with the rationalized NCERT textbooks and have removed deleted topics and added new competency-based questions.