ICSE Class 10

ICSE Class 10 Similarity of Triangles — Mock Test (2027)

Free online mock test for Similarity of Triangles (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.

What to expect: This mock test covers key concepts from the Similarity of Triangles chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.

Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.

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Sample questions

  1. 1.ΔABC with sides AB = 3.6 cm, BC = 4.5 cm and CA = 6 cm is enlarged to ΔA'B'C' such that the largest side of the enlarged triangle is 10 cm. Find the scale factor and use it to find the lengths of the other sides of ΔA'B'C'.
  2. 2.The corresponding sides of two similar triangles are in the ratio 3:4, then the ratio of the areas of triangles is: Options:
    • A.4:3
    • B.3:4
    • C.9:16
    • D.16:9
  3. 3.In the given figure, lines l and m are parallel. Three concurrent lines through point O meet line l at points A, B, and C, and line m at points P, Q, and R. Which labelled segment in the diagram corresponds to the side QR in the similarity relationship ΔOAB ∼ ΔORQ? img-28.jpeg
    • A.The segment between points P and Q on line m
    • B.The segment between points Q and R on line m
    • C.The segment between points A and B on line l
    • D.The segment between points B and C on line l
  4. 4.In the given figure, Δ ABC ~ Δ ADE. If AE : EC = 4 : 7 and DE = 6.6 cm, find BC. If x be the length of the perpendicular from A to DE, find the length of perpendicular from A to BC in terms of x.
  5. 5.ABC is a triangle. PQ is a line segment intersecting AB in P and AC in Q such that PQ is parallel to BC and divides triangle ABC into two parts equal in area. What is the value of the ratio BP : AB?
    • A.1 : 2
    • B.1 : √2
    • C.(√2 - 1) : √2
    • D.1 : √3

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