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 two points A and B on the same side of a building, the angles of elevation of the top of the building are 30° and 60° respectively. If the height of the building is 10 m, find the distance between A and B correct to two decimal places.
- A.5.77 m
- B.10.00 m
- C.11.54 m
- D.17.32 m
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2.If the height and length of the shadow of a man are equal, then the angle of elevation of the sun is,
- a.$45^{\circ}$
- b.$60^{\circ}$
- c.$90^{\circ}$
- d.$120^{\circ}$
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3.The horizontal distance between two towers is 60 m. The angle of elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, then the height of the shorter tower is:
- A.150 - 20√3 m
- B.150 - 60√3 m
- C.150 - 30√3 m
- D.130 m
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4.The angle of elevation of the top of a tower at a distance of 120 m from a point A on the ground is 45°. If the angle of elevation of the top of the flagstaff fixed at the top of the tower, at A is 60°, the height of the flagstaff is: (Use √3 = 1.73)
- A.43.8 m
- B.87.6 m
- C.120 m
- D.207.6 m
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5.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 the flagstaff is 45°. If height of flagstaff is 5 m, find the height of the tower. (√3 = 1.732)
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