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 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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2.In the given figure, lines l and m are parallel. Three concurrent lines through point O meet line l at points A, B, and C, and line m at points P, Q, and R. Which labelled segment in the diagram corresponds to the side QR in the similarity relationship ΔOAB ∼ ΔORQ?
- A.The segment between points P and Q on line m
- B.The segment between points Q and R on line m
- C.The segment between points A and B on line l
- D.The segment between points B and C on line l
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3.The given figure shows a parallelogram ABCD.
E is a point in AD and CE produced meets BA produced at point F. If AE = 4 cm, AF = 8 cm, and AB = 12 cm, which labelled segment corresponds to the length that must be determined first to find the perimeter of the parallelogram ABCD?- A.AB
- B.AD
- C.AF
- D.AE
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4.In the given figure, $AB$ and $DE$ are perpendicular to $BC$. If $AB = 9$ cm, $DE = 3$ cm, and $AC = 24$ cm, calculate $AD$.
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5.The areas of two similar triangles are $81\mathrm{cm}^2$ and $49\mathrm{cm}^2$ respectively. The ratio of their corresponding medians will be:
- A.$49:81$
- B.$81:49$
- C.$7:9$
- D.$9:7$
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