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 given alongside, $PB$ and $QA$ are perpendicular to the line segment $AB$. If $PO = 6$ cm, $QO = 9$ cm and the area of $\Delta POB = 120$ cm², find the area of $\Delta AOQ$.
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2.In the given figure, $P$ and $Q$ are points on the sides $AB$ and $AC$ respectively of a triangle $ABC$. $PQ$ is parallel to $BC$ and divides the triangle $ABC$ into 2 parts, equal in area. What is the ratio of $AP:AB$?
- a.$2:1$
- b.$1:\sqrt{2}$
- c.$\sqrt{2}:1$
- d.$1:2$
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3.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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4.A line PQ is drawn parallel to the side BC of Δ ABC which cuts side AB at P and side AC at Q. If AB = 9.0 cm, CA = 6.0 cm, and AQ = 4.2 cm, find the length of AP.
- A.4.2 cm
- B.6.3 cm
- C.5.6 cm
- D.7.0 cm
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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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