Chapter 14 · Class 7 CBSE · Free Worksheet PDF
Constructions & Tessellations Sums for Class 7 — Free CBSE Worksheet PDF with Answers
Download a free printable constructions & tessellations worksheet for Class 7 CBSE with 30 practice questions covering constructions & tessellations 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
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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample Constructions & Tessellations Sums for Class 7 — Practice Questions
Here are 8 sample constructions & tessellations sums from this Class 7 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.When constructing a line parallel to a given line 'l' through a point 'P' not on 'l', using the alternate interior angles method, which of the following properties is primarily used?
A.Sum of adjacent angles is 180°
B.Vertically opposite angles are equal
C.Corresponding angles are equal
D.Alternate interior angles are equal
Difficulty: Easy
Q2.Ravi is constructing a triangle PQR where PQ = 5 cm, QR = 3 cm, and RP = 7 cm. He draws a line segment PQ of length 5 cm. What is a valid first arc he could draw to locate point R?
A.An arc with center P and radius 3 cm.
B.An arc with center Q and radius 3 cm.
C.An arc with center P and radius 7 cm.
D.An arc with center Q and radius 5 cm.
Difficulty: Easy
Q3.Which of the following sets of side lengths CAN form a triangle?
A.2 cm, 2 cm, 5 cm
B.4 cm, 5 cm, 8 cm
C.3 cm, 4 cm, 7 cm
D.1 cm, 2 cm, 3 cm
Difficulty: Easy
Q4.When constructing a triangle ABC where AB = 6 cm, BC = 5 cm, and ∠B = 60°, what is the first step after drawing the base AB?
A.Draw an arc with center A and radius 5 cm.
B.Draw an arc with center B and radius 6 cm.
C.Draw a ray BX making an angle of 60° with AB at B.
D.Draw a ray AY making an angle of 60° with AB at A.
Difficulty: Easy
Q5.In the SAS (Side-Angle-Side) criterion for constructing a triangle, the 'angle' must be:
A.The angle included between the two given sides.
B.The largest angle of the triangle.
C.Any angle of the triangle.
D.The angle opposite to one of the given sides.
Difficulty: Easy
Q6.Which of the following conditions is sufficient to construct a unique triangle?
A.Two sides and a non-included angle.
B.Three angles.
C.The perimeter of the triangle.
D.The lengths of all three sides.
Difficulty: Easy
Q7.A student needs to construct a line parallel to a given line 'm' passing through a point 'N' not on 'm'. Which of the following tools are essential for this construction using standard geometric methods?
A.Only a ruler
B.Only a compass
C.A ruler and a protractor
D.A ruler and a compass
Difficulty: Easy
Q8.What is a tessellation?
A.A pattern formed by arranging shapes that overlap each other.
B.A pattern formed by covering a surface with repeating geometric shapes without any gaps or overlaps.
C.A pattern formed by drawing random shapes on a surface.
D.A pattern formed by shapes that only touch at their vertices.
Difficulty: Easy
Answer Key — Sample Questions+
Q1:Alternate interior angles are equal
Q2:An arc with center Q and radius 3 cm.
Q3:4 cm, 5 cm, 8 cm
Q4:Draw a ray BX making an angle of 60° with AB at B.
Q5:The angle included between the two given sides.
Q6:The lengths of all three sides.
Q7:A ruler and a compass
Q8:A pattern formed by covering a surface with repeating geometric shapes without any gaps or overlaps.
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Constructions & Tessellations |
|---|---|
| Board | CBSE |
| Class | 7 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 7 CBSE
Frequently Asked Questions
Where can I download free constructions & tessellations sums for Class 7?+
You can download a free Constructions & Tessellations PDF worksheet for Class 7 CBSE right here on SparkEd. The worksheet includes 30 practice questions (constructions & tessellations 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 & tessellations questions are in this Class 7 worksheet?+
This SparkEd worksheet for Constructions & Tessellations Class 7 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover constructions & tessellations 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 & Tessellations worksheet for Class 7 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 & tessellations worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 7 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 & Tessellations 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 & tessellations 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.
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