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GED Geometry & Mensuration Questions
Practise geometry & mensuration (mathematics) for the GED 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 (5, -2) and (11, 6).
Show answer & explanation
Answer: D — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
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Q2.A right triangle has legs 20 cm and 21 cm. Find the hypotenuse.
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Answer: C — 29 cm
By Pythagoras, hypotenuse = √(20² + 21²) = √841 = 29.
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Q3.Find the area of a circle of radius 3 cm.
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Answer: C — 28.27 cm²
Using πr² with π = 3.1416: 28.27 cm².
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Q4.Find the distance between (-5, 5) and (1, 13).
Show answer & explanation
Answer: C — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
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Q5.Find the distance between (3, 3) and (9, 11).
Show answer & explanation
Answer: A — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
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Q6.Find the distance between (0, 0) and (3, 4).
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Answer: A — 5
Distance = √((Δx)² + (Δy)²) = √(3² + 4²) = 5.
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Q7.Find the volume of a sphere of radius 8 cm.
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Answer: C — 2,144.66 cm³
Using (4/3)πr³ with π = 3.1416: 2,144.66 cm³.
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Q8.Find the distance between (0, 4) and (3, 8).
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Answer: C — 5
Distance = √((Δx)² + (Δy)²) = √(3² + 4²) = 5.
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Q9.Find the area of a right triangle with legs 20 cm and 21 cm.
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Answer: D — 210 cm²
Area = ½ × base × height = ½ × 20 × 21 = 210 cm².
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Q10.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.
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 GED
GED Test — conducted by GED Testing Service. A high-school equivalency credential covering math, language arts, science and social studies.
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.
GED practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| English Grammar | English | Question bank |
| World General Knowledge | General awareness | Question bank |