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 the top of a hill, the angles of depression of two consecutive kilometre stones, due east, are found to be 30° and 45° respectively. What are the distances of the two stones from the foot of the hill?
- A.0.73 km and 1.73 km
- B.1.37 km and 2.37 km
- C.1.00 km and 2.00 km
- D.1.73 km and 2.73 km
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2.In the given diagram, identify the length of BC.
Which of the following correctly represents the length of BC?- A.10 m
- B.20 m
- C.10√3 m
- D.20√3 m
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3.In the given diagram, a boy 1.6 m tall can just see the sun over a wall 3.7 m high, which is 2.1 m away from him. Identify the angle labeled in the diagram that represents the angle of elevation of the sun from the boy's eye level to the top of the wall.
- A.30°
- B.45°
- C.60°
- D.25°
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4.Two people standing on the same side of a tower in a straight line with it, measure the angles of elevation of the top of the tower as 25° and 50° respectively. If the height of the tower is 70 m, find the distance between the two people.
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5.The angle of elevation of a stationary cloud from a point 25 m above a lake is $30^{\circ}$ and the angle of depression of its reflection in the lake is $60^{\circ}$. What is the height of the cloud above that lake-level?
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