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.

Sample questions

1. 1.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.$1:2$
2. 2.In the given figure, $XY \parallel OR$. If $PX : XQ = 1 : 2$ and $PY = 4$ cm, then $PR$ is equal to:
   • A.$12 \mathrm{~cm}$
   • B.$2\sqrt{3} \mathrm{~cm}$
   • C.$6\sqrt{3} \mathrm{~cm}$
   • D.$18 \mathrm{~cm}$
3. 3.A model of a ship is made to a scale of 1:200. If the length of the model is 4 m; calculate the length of the ship.
4. 4.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.
   • 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.
5. 5.In the given figure, `` BC is parallel to DE. Area of triangle ABC = 25 cm², Area of trapezium BCED = 24 cm² and DE = 14 cm. Which labelled segment corresponds to the side BC whose length is 5 cm?
   • A.The shorter base of trapezium BCED, labelled BC in the figure.
   • B.The longer base of trapezium BCED, labelled DE in the figure.
   • C.The non-parallel side BD of trapezium BCED.
   • D.The side AB of triangle ABC, adjacent to BC.