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Suneung-style Maths Geometry & Mensuration Questions
Practise geometry & mensuration (mathematics) for the Korean CSAT (Suneung)-style Mathematics practice: 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 (-2, 1) and (3, 13).
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Answer: A — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q2.A right triangle has legs 7 cm and 24 cm. Find the hypotenuse.
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Answer: C — 25 cm
By Pythagoras, hypotenuse = √(7² + 24²) = √625 = 25.
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Q3.Find the area of a right triangle with legs 7 cm and 24 cm.
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Answer: D — 84 cm²
Area = ½ × base × height = ½ × 7 × 24 = 84 cm².
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Q4.Find the area of a right triangle with legs 3 cm and 4 cm.
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Answer: B — 6 cm²
Area = ½ × base × height = ½ × 3 × 4 = 6 cm².
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Q5.Find the distance between (-5, 0) and (0, 12).
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Answer: B — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q6.Find the area of a circle of radius 8 cm.
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Answer: A — 201.06 cm²
Using πr² with π = 3.1416: 201.06 cm².
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Q7.Find the distance between (-1, 4) and (5, 12).
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Answer: A — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
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Q8.A right triangle has legs 9 cm and 12 cm. Find the hypotenuse.
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Answer: A — 15 cm
By Pythagoras, hypotenuse = √(9² + 12²) = √225 = 15.
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Q9.A right triangle has legs 3 cm and 4 cm. Find the hypotenuse.
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Answer: B — 5 cm
By Pythagoras, hypotenuse = √(3² + 4²) = √25 = 5.
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Q10.Find the volume of a sphere of radius 7 cm.
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Answer: B — 1,436.76 cm³
Using (4/3)πr³ with π = 3.1416: 1,436.76 cm³.
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 Suneung-style Maths
Korean CSAT (Suneung)-style Mathematics practice — conducted by Practice in the style of the KICE College Scholastic Ability Test; not affiliated. Practice in the style of South Korea’s university entrance maths: sequences, functions and probability.
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.
Suneung-style Maths practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |