- No data uploaded
- Instant results
GRE Geometry & Mensuration Questions
Practise geometry & mensuration (mathematics) for the GRE General 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
-
Q1.Find the distance between (-5, 1) and (1, 9).
Show answer & explanation
Answer: D — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
-
Q2.A right triangle has legs 20 cm and 21 cm. Find the hypotenuse.
Show answer & explanation
Answer: C — 29 cm
By Pythagoras, hypotenuse = √(20² + 21²) = √841 = 29.
-
Q3.Find the area of a right triangle with legs 8 cm and 15 cm.
Show answer & explanation
Answer: D — 60 cm²
Area = ½ × base × height = ½ × 8 × 15 = 60 cm².
-
Q4.Find the distance between (4, 1) and (12, 16).
Show answer & explanation
Answer: A — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
-
Q5.Find the distance between (4, 2) and (10, 10).
Show answer & explanation
Answer: B — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
-
Q6.Find the distance between (-4, 0) and (-1, 4).
Show answer & explanation
Answer: C — 5
Distance = √((Δx)² + (Δy)²) = √(3² + 4²) = 5.
-
Q7.Find the volume of a cylinder with radius 6 cm and height 4 cm.
Show answer & explanation
Answer: D — 452.39 cm³
Using πr²h with π = 3.1416: 452.39 cm³.
-
Q8.Find the distance between (-1, -5) and (4, 7).
Show answer & explanation
Answer: A — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
-
Q9.Find the area of a right triangle with legs 7 cm and 24 cm.
Show answer & explanation
Answer: D — 84 cm²
Area = ½ × base × height = ½ × 7 × 24 = 84 cm².
-
Q10.Find the distance between (3, 4) and (6, 8).
Show answer & explanation
Answer: C — 5
Distance = √((Δx)² + (Δy)²) = √(3² + 4²) = 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 GRE
GRE General Test — conducted by Educational Testing Service (ETS). Graduate admission test with Verbal Reasoning, Quantitative Reasoning and Analytical Writing.
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.
GRE practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Vocabulary & Idioms | English | Question bank |