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.
Sample questions
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1.In the given diagram $\triangle ABC \sim \triangle EFG$. If $\angle ABC = \angle EFG = 60^\circ$, then the length of the side $FG$ is
- a.$15\,\mathrm{cm}$
- b.$20\,\mathrm{cm}$
- c.$25\,\mathrm{cm}$
- d.$30\,\mathrm{cm}$
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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
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3.In the figure given alongside, $PB$ and $QA$ are perpendicular to the line segment $AB$. If $PO = 6$ cm, $QO = 9$ cm and the area of $\Delta POB = 120$ cm², what is the area of $\Delta AOQ$?
- A.160 cm²
- B.180 cm²
- C.270 cm²
- D.360 cm²
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4.Two similar triangles are equal in area. Which of the following statements must be true?
- A.The triangles are congruent because their corresponding sides must be equal.
- B.The triangles are not congruent since similarity does not imply equal sides.
- C.The triangles have equal perimeters but may not be congruent.
- D.The triangles are similar but their areas can never be equal unless they are identical.
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5.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?
- 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
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