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KCET Geometry & Mensuration Questions
Practise geometry & mensuration (mathematics) for the Karnataka Common Entrance Test: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Geometry & Mensuration practice
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Q1.Find the distance between (4, -3) and (10, 5).
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Answer: B — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
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Q2.A right triangle has legs 8 cm and 15 cm. Find the hypotenuse.
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Answer: B — 17 cm
By Pythagoras, hypotenuse = √(8² + 15²) = √289 = 17.
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Q3.Find the distance between (4, -4) and (9, 8).
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Answer: C — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q4.A right triangle has legs 6 cm and 8 cm. Find the hypotenuse.
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Answer: C — 10 cm
By Pythagoras, hypotenuse = √(6² + 8²) = √100 = 10.
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Q5.Find the volume of a cylinder with radius 14 cm and height 4 cm (take π = 22/7).
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Answer: A — 2,464 cm³
Using πr²h with π = 22/7: 2,464 cm³.
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Q6.Find the area of a circle of radius 14 cm (take π = 22/7).
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Answer: B — 616 cm²
Using πr² with π = 22/7: 616 cm².
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Q7.Find the volume of a sphere of radius 7 cm (take π = 22/7).
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Answer: B — 1,437.33 cm³
Using (4/3)πr³ with π = 22/7: 1,437.33 cm³.
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Q8.Find the distance between (4, 4) and (9, 16).
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Answer: A — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q9.A right triangle has legs 3 cm and 4 cm. Find the hypotenuse.
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Answer: D — 5 cm
By Pythagoras, hypotenuse = √(3² + 4²) = √25 = 5.
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Q10.Find the distance between (-4, -2) and (4, 13).
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Answer: B — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
How to approach geometry & mensuration questions
Memorise core formulas (circle πr², triangle ½bh, Pythagoras, distance √((x₂−x₁)² + (y₂−y₁)²)). Sketch the figure — most errors come from misreading which length is given.
About KCET
Karnataka Common Entrance Test — conducted by Karnataka Examinations Authority (KEA). State entrance for professional courses in Karnataka.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
KCET practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |
| Biology | Science | Question bank |