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 quadrilateral ABCD, diagonals AC and BD intersect at point E such that AE:EC = BE:ED. Which of the following conclusions can be drawn from this information?
   • A.ABCD is a parallelogram because both pairs of opposite sides are parallel.
   • B.ABCD is a trapezium because exactly one pair of opposite sides (AB and CD) is parallel.
   • C.ABCD is a rhombus because all sides are equal due to the given ratio.
   • D.ABCD is a kite because two distinct pairs of adjacent sides are equal.
2. 2.A $6\mathrm{m}$ high tree casts a $4\mathrm{m}$ long shadow. At the same time, a flag pole casts a shadow $50\mathrm{m}$ long. How long is the flag pole?
   • A.$48\mathrm{m}$
   • B.$150\mathrm{m}$
   • C.$16\mathrm{m}$
   • D.$75\mathrm{m}$
3. 3.It is given that $\Delta ABC \sim \Delta PQR$ with $\frac{BC}{QR} = \frac{1}{4}$. Then $\frac{\operatorname{ar}(\Delta PRQ)}{\operatorname{ar}(\Delta BCA)}$ is equal to
   • a.16
   • b.3
   • c.$\frac{1}{4}$
   • d.$\frac{1}{16}$
4. 4.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.$1:2$
5. 5.Sides of two similar triangles are in the ratio $4:9$. What is the ratio of areas of these triangles?
   • A.$16:81$
   • B.$81:16$
   • C.$4:9$
   • D.$9:4$