ICSE Class 10

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

  1. 1.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.
    • A.3.2 cm
    • B.4.5 cm
    • C.5.4 cm
    • D.6.0 cm
  2. 2.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 $\Delta AOQ$.
  3. 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, find the perimeter of the parallelogram ABCD.
  4. 4.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.
  5. 5.A ΔPQR is reduced by a scale factor 0.72. If the area of ΔPQR is 62.5 cm², find the area of its image.

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