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.ABC is a triangle. PQ is a line segment intersecting AB in P and AC in Q such that PQ is parallel to BC and divides triangle ABC into two parts equal in area. What is the value of the ratio BP : AB?
- A.1 : 2
- B.1 : √2
- C.(√2 - 1) : √2
- D.1 : √3
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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.
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3.A triangle ABC with AB = 3 cm, BC = 6 cm and AC = 4 cm is enlarged to ΔDEF such that the longest side of ΔDEF is 9 cm. What is the scale factor of this enlargement and the lengths of the other sides of ΔDEF?
- A.Scale factor = 1.5; DE = 4.5 cm, DF = 6 cm
- B.Scale factor = 2; DE = 6 cm, DF = 8 cm
- C.Scale factor = 1.2; DE = 3.6 cm, DF = 4.8 cm
- D.Scale factor = 1.8; DE = 5.4 cm, DF = 7.2 cm
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4.In the figure given alongside, $PB$ and $QA$ are perpendicular to the line segment $AB$. If $PO = 6$ cm, $QO = 9$ cm and the area of $\Delta POB = 120$ cm², what is the area of $\Delta AOQ$?
- A.160 cm²
- B.180 cm²
- C.270 cm²
- D.360 cm²
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5.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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