ICSE Class 10 Heights and Distances — Mock Test (2027)
Free online mock test for Heights and Distances (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 Heights and Distances 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.From a window A, 10 m above the ground angle of elevation of the top C of a tower is $x^{\circ}$, where $\tan x^{\circ} = \frac{5}{2}$ and the angle of depression of the foot D of the tower is $y^{\circ}$, where $\tan y^{\circ} = \frac{1}{4}$. Calculate the height CD of the tower in metres.
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2.Calculate AB.
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3.A man 1·8 m tall stands at a distance of 3·6 m from a lamp post and casts a shadow of 5·4 m on the ground. Find the height of the lamp post.
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4.Two lamp posts AB and CD each of heights 100 m are on either side of the road. P is a point on the road between the two lamp posts. The angles of elevation of the top of the lamp posts from the point P are 40° and 60°. Find the distance PB and PD.
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5.As observed from the top of a 80 m tall lighthouse, the angles of depression of two ships, on the same side of the lighthouse in horizontal line with its base, are 30° and 40° respectively. What is the distance between the two ships, correct to the nearest metre?
- A.32 m
- B.43 m
- C.55 m
- D.139 m
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