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🧾 CBSE · Class 8

Class 8 Maths: Tales by Dots and Lines Worksheet (with Answers)

A free, print-ready worksheet on Tales by Dots and Lines for CBSE Class 8 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. In a graph, the dots are called:
    • (a) edges
    • (b) vertices
    • (c) faces
    • (d) paths
  2. 2. A line joining two vertices is an:
    • (a) edge
    • (b) arc only
    • (c) angle
    • (d) axis
  3. 3. The degree of a vertex is the number of:
    • (a) vertices
    • (b) circuits
    • (c) faces
    • (d) edges meeting at it
  4. 4. The sum of all degrees in a graph equals:
    • (a) number of edges
    • (b) half the edges
    • (c) number of vertices
    • (d) twice the number of edges
  5. 5. What is the degree of a vertex?
  6. 6. State the handshake rule for graphs.
  7. 7. Explain why the sum of the degrees of a graph is always twice the number of edges.
View answers
  1. 1. (b) vertices — The dots are vertices.
  2. 2. (a) edge — It is called an edge.
  3. 3. (d) edges meeting at it — Degree counts edges at that vertex.
  4. 4. (d) twice the number of edges — Each edge is counted at both ends.
  5. 5. The number of edges meeting at that vertex.
  6. 6. The sum of all vertex degrees equals twice the number of edges.
  7. 7. Every edge joins exactly two vertices, so when we count the degree at each vertex, that edge is counted once at each of its two ends — a total of two. Adding the degrees of all vertices therefore counts every edge twice, giving sum of degrees = 2 × number of edges. A direct consequence is that the number of odd-degree vertices must be even, since the total of all degrees is an even number.
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How it works

Every question is drawn from StudyMatic’s own Maths bank for Tales by Dots and Lines — 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 8 Maths worksheet on Tales by Dots and Lines 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 Tales by Dots and Lines 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 8 Maths, chapter “Tales by Dots and Lines”.