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 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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2.In triangle ABC, angle A is obtuse and AB = AC. P is any point on side BC. PM is perpendicular to AB and PN is perpendicular to AC. Which of the following relationships must hold true?
- A.PM × PB = PN × PC
- B.PM × PC = PN × PB
- C.PM + PC = PN + PB
- D.PM / PN = PC / PB
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3.The areas of two similar triangles $ABC$ and $PQR$ are in the ratio 9:16. If $BC = 4.5\mathrm{cm}$, then the length of $QR$ is
- a.$4\mathrm{cm}$
- b.$4.5\mathrm{cm}$
- c.$3\mathrm{cm}$
- d.$6\mathrm{cm}$
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4.Assertion: In the $\triangle ABC$, $AB = 24\mathrm{cm}$, $BC = 10\mathrm{cm}$ and $AC = 26\mathrm{cm}$, then $\triangle ABC$ is a right-angled triangle. Reason: If in two triangles, their corresponding angles are equal, then the triangles are similar. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true.
- A.Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- B.Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- C.Assertion (A) is true but reason (R) is false.
- D.Assertion (A) is false but reason (R) is true.
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5.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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