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 adjoining figure shows a tower AB of height h. Points C and D are on the ground on the same side of the tower. The angles of elevation from C and D to the top of the tower are 45° and 30° respectively, and CD = 10 m. Find the height of the tower.
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2.From the figure, given below, calculate the length of CD.
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3.The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation of the top of the tower from the foot of the hill is 30°. If the tower is 50 m high, what is the height of the hill?
- A.50 m
- B.100 m
- C.150 m
- D.200 m
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4.Two people are standing on the ground on the same side of a tower. They measure the angles of elevation of the top of the tower at 25° and 50°, respectively. If the height of the tower is 70 m, then find the distance between the two people.
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5.From a window A, 10 m above the ground angle of elevation of the top C of a tower is $x^{\circ}$, where $\tan x^{\circ} = \frac{5}{2}$ and the angle of depression of the foot D of the tower is $y^{\circ}$, where $\tan y^{\circ} = \frac{1}{4}$. Calculate the height CD of the tower in metres.
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