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.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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2.The angle of elevation of the top of a tower from a point on the ground, which is $30 \mathrm{m}$ away from the foot of the tower, is $30^{\circ}$. Find the height of the tower.
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3.The upper part of a tree, broken over by the wind, makes an angle of 45° with the ground; and the distance from the root to the point where the top of the tree touches the ground, is 15 m. What was the height of the tree before it was broken?
- A.15 m
- B.21.21 m
- C.30 m
- D.36.21 m
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4.A tree is broken by the wind. The top struck the ground at an angle of $30^{\circ}$ and at distance of 10 m from its root. The whole height of the tree is $(\sqrt{3} = 1.732)$
- a.$10\sqrt{3}\,\mathrm{m}$
- b.$3\sqrt{10}\,\mathrm{m}$
- c.$20\sqrt{3}\,\mathrm{m}$
- d.$3\sqrt{20}\,\mathrm{m}$
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5.The angle of elevation of the top of a tower, from a point on the ground and at a distance of 160 m from its foot, is found to be 60°. What is the height of the tower?
- A.92.38 m
- B.160 m
- C.277.13 m
- D.480 m
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