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 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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2.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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3.Two similar triangles are equal in area. Which of the following statements must be true?
- A.The triangles are congruent because their corresponding sides must be equal.
- B.The triangles are not congruent since similarity does not imply equal sides.
- C.The triangles have equal perimeters but may not be congruent.
- D.The triangles are similar but their areas can never be equal unless they are identical.
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4.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.
- A.32.4 cm²
- B.45.0 cm²
- C.62.5 cm²
- D.86.8 cm²
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5.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.
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