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.A $6\mathrm{m}$ high tree casts a $4\mathrm{m}$ long shadow. At the same time, a flag pole casts a shadow $50\mathrm{m}$ long. How long is the flag pole?
- A.$48\mathrm{m}$
- B.$150\mathrm{m}$
- C.$16\mathrm{m}$
- D.$75\mathrm{m}$
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2.The area of two similar triangles are 32 cm² and 50 cm² respectively. If one side of the first triangle is 4 cm, find the corresponding side of the other triangle.
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3.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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4.In the figure, PB and QA are perpendiculars to the line segment AB. If PO = 6 cm, QO = 9 cm, and area of Δ POB = 120 cm², find the area of Δ QOA.
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5.The perimeters of two similar triangles $\Delta ABC$ and $\Delta PQR$ are 35 cm and 45 cm respectively, then the ratio of the areas of the two triangles is: Options:
- A.49:81
- B.81:49
- C.9:7
- D.7:9
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