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.Two persons are standing on the opposite sides of a tower. They observe the angles of elevation of the top of the tower to be 30° and 38° respectively. Find the distance between them, if the height of the tower is 50 m.
- A.150.89 m
- B.228.89 m
- C.128.58 m
- D.213.20 m
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2.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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3.The height of a tree is √3 times the length of its shadow. Find the angle of elevation of the sun.
- A.30°
- B.45°
- C.60°
- D.15°
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4.The angle of elevation of the top of a tower from a point 30 m away from its foot is $30^{\circ}$. What is the height of the tower?
- A.$10 \mathrm{m}$
- B.$10\sqrt{3} \mathrm{m}$
- C.$30\sqrt{3} \mathrm{m}$
- D.$15\sqrt{3} \mathrm{m}$
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5.The heights (in cm) of 9 girls in a class are given below: 148.5, 143.7, 152.1, 150, 149.6, 144.2, 145, 147.3, 146.5. What is the median height?
- A.147.3 cm
- B.146.5 cm
- C.148.5 cm
- D.145 cm
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