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.In triangle ABC, AD is perpendicular to side BC and AD² = BD × DC. Which of the following correctly explains why angle BAC is 90°?
- A.Triangles ABD and CAD are similar by SAS, so ∠BAD = ∠ACD and ∠CAD = ∠ABD, making ∠BAC = 90°.
- B.AD is the altitude, so angle BAC must be 90° by definition of perpendicularity.
- C.AD² = BD × DC implies triangle ABC is isosceles, hence angle BAC is 90°.
- D.The condition AD² = BD × DC forces angle BAC to be 60°, not 90°.
-
2.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.
-
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.
-
4.The perimeters of two similar triangles are $25\mathrm{cm}$ and $15\mathrm{cm}$ respectively. If one side of the first triangle is $9\mathrm{cm}$, then the corresponding side of second triangle is
- a.$5.4 \mathrm{cm}$
- b.$7.8 \mathrm{cm}$
- c.$2.7 \mathrm{cm}$
- d.$3.9 \mathrm{cm}$
-
5.In the figure, AB, CD, and EF are parallel lines. Given AB = 7.5 cm, DC = y cm, EF = 4.5 cm, BC = x cm, and CE = 3 cm, calculate the values of x and y.
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test