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
-
1.Owing away from a light house 150 m high, it takes 1·5 minutes to change the angle of elevation of the top of the lighthouse from 60° to 45°. Find the speed of the boat.
-
2.From the top of a lighthouse 100 m high, the angles of depression of two ships on opposite sides of it are 48° and 36° respectively.
What is the distance between the two ships to the nearest metre?- A.200 m
- B.228 m
- C.250 m
- D.300 m
-
3.An electric pole is 10 m high. A steel wire tied to the top of the pole is affixed at a point on the ground to keep the pole upright. If the wire makes an angle of 45° with the horizontal through the foot of the pole, find the length of the wire. (Use √2 = 1.414)
-
4.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.$40\sqrt{3} \mathrm{m}$
-
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)
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test