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 $30^{\circ}$ and $45^{\circ}$ respectively. Find the distances of the two stones from the foot of the hill.
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2.11. Two climbers are at points A and B on a vertical cliff face. To an observer C, 40 m from the foot of the cliff, on the level ground, A is at an elevation of 48° and B of 57°. What is the distance between the climbers?
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3.From a point P on the ground, the angle of elevation of the top of a tower is 30° and that of the top of a flagstaff on the tower is 45°. If the height of the flagstaff is 5 m, what is the height of the tower? (√3 = 1.732)
- A.5.0 m
- B.6.83 m
- C.8.66 m
- D.10.0 m
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4.A kite is flying with a thread 150 m long. If the thread is assumed stretched straight and makes an angle of 55° with the horizontal, find the height of the kite above the ground.
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5.The angle of elevation of an aeroplane from a point A on the ground is 60°. After a flight of 15 seconds, the angle of elevation changed to 30°. If the aeroplane is flying at a constant height of 1500√3 m, find the speed of the plane in km/hr.
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