Chapter 11 · Class 9 CBSE · Free Worksheet PDF
Constructions Sums for Class 9 — Free CBSE Worksheet PDF with Answers
Download a free printable constructions worksheet for Class 9 CBSE with 30 practice questions covering constructions concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.
Last updated: 5 May 2026
Download Full PDF Worksheet
30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample Constructions Sums for Class 9 — Practice Questions
Here are 8 sample constructions sums from this Class 9 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.Which of the following statements is true about the bisector of an angle?
A.It is always perpendicular to one of the arms of the angle.
B.Any point on the bisector is equidistant from the two arms of the angle.
C.It divides the angle into two unequal parts.
D.It always passes through the midpoint of any line segment connecting points on the arms.
Difficulty: Easy
Q2.Shreya wants to construct the perpendicular bisector of a line segment XY. She opens her compass, places the needle at X, and draws an arc above and below XY. Then, she places the needle at Y and draws another arc with a different radius, intersecting the first arc. She then draws a line through the intersection points. What mistake did Shreya make?
A.She should have used a radius less than half of XY.
B.She should have only drawn arcs on one side of XY.
C.She should have used the same radius for arcs drawn from X and Y.
D.She should have drawn a circle instead of arcs.
Difficulty: Easy
Q3.In classical Euclidean geometric constructions, which of the following tools are permitted?
A.An unmarked ruler and a compass.
B.A marked ruler and a compass.
C.An unmarked ruler and a protractor.
D.A protractor and a compass.
Difficulty: Easy
Q4.To construct an angle of 60° at point O on a given ray OA, which of the following steps is incorrect?
A.With O as center and any convenient radius, draw an arc cutting OA at P.
B.With P as center and a radius equal to the first one, draw an arc cutting the previously drawn arc at Q.
C.Draw a ray OQ.
D.The angle AOQ formed will be 60°.
Difficulty: Easy
Q5.To construct an angle of 45°, which angle must first be accurately constructed and then bisected?
A.30°
B.60°
C.90°
D.120°
Difficulty: Easy
Q6.If a point P lies on the perpendicular bisector of a line segment AB, what can be concluded about the distances from P to A and P to B?
A.PA > PB
B.PA = PB
C.PA < PB
D.PA is twice PB
Difficulty: Easy
Q7.Which of the following is a valid method to construct a 90° angle using only a compass and an unmarked ruler?
A.Construct a 60° angle and add another 30° using a protractor.
B.Draw a ray, construct 60° and 120° angles from the same point on the ray, and then bisect the angle between the rays forming 60° and 120°.
C.Draw a ray, construct a 45° angle, and then double it.
D.Draw a straight line, construct two 60° angles adjacent to each other, and then bisect the angle formed by their outer rays.
Difficulty: Easy
Q8.An angle measures 110°. If its bisector is drawn, what will be the measure of each of the two resulting angles?
A.55°
B.110°
C.70°
D.220°
Difficulty: Easy
Answer Key — Sample Questions+
Q1:Any point on the bisector is equidistant from the two arms of the angle.
Q2:She should have used the same radius for arcs drawn from X and Y.
Q3:An unmarked ruler and a compass.
Q4:With P as center and a radius equal to the first one, draw an arc cutting the previously drawn arc at Q.
Q5:90°
Q6:PA = PB
Q7:Draw a ray, construct 60° and 120° angles from the same point on the ray, and then bisect the angle between the rays forming 60° and 120°.
Q8:55°
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Constructions |
|---|---|
| Board | CBSE |
| Class | 9 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 9 CBSE
Frequently Asked Questions
Where can I download free constructions sums for Class 9?+
You can download a free Constructions PDF worksheet for Class 9 CBSE right here on SparkEd. The worksheet includes 30 practice questions (constructions concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many constructions questions are in this Class 9 worksheet?+
This SparkEd worksheet for Constructions Class 9 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover constructions concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Constructions worksheet for Class 9 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this constructions worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 9 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Constructions worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include constructions word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.
Practice Constructions Sums Online — Class 9 CBSE
Want more than a worksheet? Solve constructions problems interactively with instant feedback, step-by-step solutions, and an AI maths coach. No signup required.
Start Practising OnlineSparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.