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, DE || BC. If DE = 4 cm, BC = 6 cm and area (Δ ADE) = 20 cm², find the area of Δ ABC.
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2.If ratio of corresponding sides of two similar triangles is 5:6, then ratio of their areas will be: Options:
- A.25:36
- B.5:6
- C.36:25
- D.6:5
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3.In the given figure, triangle ABC is similar to triangle PQR. AM and PN are altitudes whereas AX and PY are medians.
Which of the following correctly describes the relationship between the altitudes and medians of these similar triangles?- A.AM/PN = AX/PY
- B.AM/AX = PN/PY
- C.AM + PN = AX + PY
- D.AM × PN = AX × PY
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4.The area of two similar triangles are 48 cm² and 75 cm² respectively. If the altitude of the first triangle be 3.6 cm, find the corresponding altitude of the other.
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5.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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