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🧾 CBSE · Class 7

Class 7 Maths: Constructions and Tilings Worksheet (with Answers)

A free, print-ready worksheet on Constructions and Tilings for CBSE Class 7 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 17 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. Arcs in a construction are drawn with a:
    • (a) ruler
    • (b) protractor
    • (c) compass
    • (d) set square
  2. 2. A line meeting another at 90° is:
    • (a) parallel
    • (b) curved
    • (c) oblique
    • (d) perpendicular
  3. 3. A tiling that covers a plane with no gaps is a:
    • (a) tessellation
    • (b) rotation
    • (c) reflection
    • (d) graph
  4. 4. Which regular polygon tiles the plane by itself?
    • (a) regular pentagon
    • (b) regular hexagon
    • (c) regular octagon
    • (d) regular heptagon
  5. 5. Which two tools are used for constructions?
  6. 6. What is a tessellation?
  7. 7. Explain why squares, equilateral triangles and regular hexagons tile the plane.
View answers
  1. 1. (c) compass — A compass draws arcs.
  2. 2. (d) perpendicular — A right-angle meeting is perpendicular.
  3. 3. (a) tessellation — It is a tessellation.
  4. 4. (b) regular hexagon — Regular hexagons tile the plane (like honeycombs).
  5. 5. A ruler and a compass.
  6. 6. A tiling that covers a plane with no gaps or overlaps.
  7. 7. A shape tiles the plane when copies of it can surround each meeting point completely, with their angles adding up to a full turn of 360° and leaving no gaps or overlaps. A square has 90° angles, and four of them meet to make 360°. An equilateral triangle has 60° angles, and six meet to make 360°. A regular hexagon has 120° angles, and three meet to make 360°. Because each of these angles divides evenly into 360°, the shapes fit perfectly around every point — which is why floors are often tiled with squares and honeycombs are built from hexagons. A regular pentagon, with 108° angles, does not divide 360° evenly, so it cannot tile by itself.
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How it works

Every question is drawn from StudyMatic’s own Maths bank for Constructions and Tilings — nothing is auto-generated or invented. Pick how many of each type you want, add your own questions if you like, choose 1–4 paper sets for anti-cheating, and print the worksheet and answer key separately or save them as PDF.

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FAQ

Is this Class 7 Maths worksheet on Constructions and Tilings free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Constructions and Tilings worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 7 Maths, chapter “Constructions and Tilings”.