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.The perimeters of two similar triangles are 30 cm and 24 cm. If one side of the first triangle is 12 cm, what is the length of the corresponding side of the second triangle?
- A.8 cm
- B.9.6 cm
- C.10 cm
- D.15 cm
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2.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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3.In a right angled $\Delta ABC$ right angled at $B$, if $P$ and $Q$ are points on the sides $AB$ and $BC$ respectively, then
- a.$AQ^{2} + CP^{2} = 2(AC^{2} + PQ^{2})$
- b.$2(AQ^{2} + CP^{2}) = AC^{2} + PQ^{2}$
- c.$AQ^{2} + CP^{2} = AC^{2} + PQ^{2}$
- d.$AQ + CP = \frac{1}{2} (AC + PQ)$
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4.In the given figure, $PQR$ is a triangle right angled at $Q$ and $XY\parallel QR$. If $PQ = 6$ cm, $PY = 4$ cm and $PX:XQ = 1:2$. The length of $PR$ will be
- a.$12 \mathrm{cm}$
- b.$2\sqrt{3} \mathrm{cm}$
- c.$6\sqrt{3} \mathrm{cm}$
- d.$18 \mathrm{cm}$
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5.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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