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.The shadow of a tower on level ground is 40 m longer when the Sun's altitude is $30^{\circ}$ than when it is $60^{\circ}$. What is the height of the tower?
- A.$10\sqrt{3} \mathrm{m}$
- B.$20\sqrt{3} \mathrm{m}$
- C.$30\sqrt{3} \mathrm{m}$
- D.$40\sqrt{3} \mathrm{m}$
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2.From the top of a cliff, 60 metres high, the angles of depression of the top and bottom of a tower are observed to be $30^{\circ}$ and $60^{\circ}$. Find the height of the tower.
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3.In the figure, given below, it is given that AB is perpendicular to BD and is of length X metres. DC = 30 m, $\angle ADB = 30^{\circ}$ and $\angle ACB = 45^{\circ}$. Without using tables, find X.
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4.From the top of a cliff 92 m high, the angle of depression of a buoy is 20°. To the nearest metre, what is the distance of the buoy from the foot of the cliff?
- A.24 m
- B.92 m
- C.253 m
- D.498 m
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5.A vertical pole is 12 m high and the length of its shadow is 12√3 m. What is the angle of elevation of the sun?
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