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.The perimeters of two similar triangles are 30 cm and 24 cm. If one side of the first triangle is 12 cm, what is the length of the corresponding side of the second triangle?
- A.8 cm
- B.9.6 cm
- C.10 cm
- D.15 cm
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2.In the given figure, $P$ and $Q$ are points on the sides $AB$ and $AC$ respectively of a triangle $ABC$. $PQ$ is parallel to $BC$ and divides the triangle $ABC$ into 2 parts, equal in area. The ratio of $PA:AB =$
- a.$1:1$
- b.$(\sqrt{2} - 1):\sqrt{2}$
- c.$1: \sqrt{2}$
- d.$(\sqrt{2} - 1):1$
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3.In the figure alongside, BC is parallel to DE. Area of ΔABC = 25 cm², area of trapezium BCED = 24 cm² and DE = 14 cm. Calculate the length of BC.
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4.In the given figure $PQ$ is parallel to $TR$, then by using condition of similarity:
- a.$\frac{PQ}{RT} = \frac{OP}{OT} = \frac{OQ}{OR}$
- b.$\frac{PQ}{RT} = \frac{OP}{OR} = \frac{OQ}{OT}$
- c.$\frac{PQ}{RT} = \frac{OR}{OP} = \frac{OQ}{OT}$
- d.$\frac{PQ}{RT} = \frac{OP}{OR} = \frac{OT}{OQ}$
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5.A ΔABC with sides AB = 16 cm, BC = 12 cm and CA = 18 cm is reduced to ΔA'B'C' such that the smallest side of the image triangle is 4.8 cm. What are the lengths of the other sides of ΔA'B'C'?
- A.A'B' = 6.4 cm, C'A' = 7.2 cm
- B.A'B' = 8.0 cm, C'A' = 9.0 cm
- C.A'B' = 5.3 cm, C'A' = 6.0 cm
- D.A'B' = 4.8 cm, C'A' = 5.4 cm
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