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 figure $AB = 24 \, \text{cm}$, $AC = 18 \, \text{cm}$, $DE = 12 \, \text{cm}$, $DF = 9 \, \text{cm}$ and $\angle BAC = \angle EDF$, Then $\Delta ABC \sim \Delta DEF$ by the condition:
- a.AAA
- b.SAS
- c.SSS
- d.AAS
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2.In the given figure, DE is parallel to the base BC of triangle ABC and AD:DB = 5:3. Find the ratio: (i) AD/AB and then DE/BC (ii) Area of Δ DEF / Area of Δ DEC.
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3.In the given figure, AB and DE are perpendiculars to BC. The lengths are AB = 9 cm, DE = 3 cm, and AC = 24 cm. Identify the segment labeled in the diagram that corresponds to the length AD.
- A.The segment from A to the point where DE meets AC
- B.The segment from A to D along AC, measuring 16 cm
- C.The segment from D to C along BC, measuring 8 cm
- D.The segment from B to C along the base, excluding DE
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4.Two poles of height $6\mathrm{m}$ and $11\mathrm{m}$ stand vertically upright on a plane ground. If the distance between their foot is $12\mathrm{m}$, then distance between their tops is
- a.$12\mathrm{m}$
- b.$14\mathrm{m}$
- c.$13\mathrm{m}$
- d.$11\mathrm{m}$
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5.In the given figure, BC ∥ DE, area(ΔABC) = 25 cm², area(trap. BCED) = 24 cm², and DE = 14 cm. Calculate the length of BC.
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