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.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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2.An aeroplane is 30 m long and its model is 15 cm long. If the total outer surface area of the model is 150 cm², find the cost of painting the outer surface of the aeroplane at the rate of ₹ 120 per sq. m. Given that 50 sq. m of the surface of the aeroplane is left for windows.
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3.Assertion (A): The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. Reason (R): If two triangles are similar, their corresponding sides are proportional. Which of the following is correct regarding the assertion and reason above?
- A.Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).
- B.Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
- C.Assertion (A) is true, but reason (R) is false.
- D.Assertion (A) is false, but reason (R) is true.
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4.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.
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5.Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of the two triangles, which of the following correctly relates the sides and altitudes of these triangles?
- A.AB/PQ = AD/PM because corresponding sides and altitudes of similar triangles are proportional.
- B.AB/PQ = PM/AD because altitudes are inversely proportional to the sides in similar triangles.
- C.AB + PQ = AD + PM because the sum of sides and altitudes must be equal in similar triangles.
- D.AB × PQ = AD × PM because the product of sides and altitudes is constant in similar triangles.
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