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 adjoining figure, ABCD is a trapezium in which AB || DC and AB = 2DC. Determine the ratio of the areas of Δ AOB and Δ COD.
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2.In the given figure, ∠AXY = ∠AYX. If BX/AX = CY/AY, which labeled part or property directly confirms that triangle ABC is isosceles?
- A.AX = AY because triangle AXY is isosceles
- B.BX = CY due to the given ratio and AX = AY
- C.∠B = ∠C as they are base angles of triangle ABC
- D.XY is parallel to BC, making the triangles similar
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3.Given $\Delta ABC \sim \Delta PQR$, if $\frac{AB}{PQ} = \frac{1}{3}$, then what is the ratio $\frac{\operatorname{ar} \Delta ABC}{\operatorname{ar} \Delta PQR}$? Options:
- A.9:1
- B.1:9
- C.3:1
- D.1:3
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4.A ΔABC with sides AB = 16 cm, BC = 12 cm and CA = 18 cm is reduced to ΔA'B'C' such that the smallest side of the image triangle is 4.8 cm. Find the scale factor and use it to find the lengths of the other sides of ΔA'B'C'.
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5.The areas of two similar triangles $ABC$ and $PQR$ are in the ratio 9:16. If $BC = 4.5\mathrm{cm}$, then the length of $QR$ is
- a.$4\mathrm{cm}$
- b.$4.5\mathrm{cm}$
- c.$3\mathrm{cm}$
- d.$6\mathrm{cm}$
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