Free Geometry MCQs with Answers
222 Geometry MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Geometry examines points, lines, angles, triangles, polygons, circles, and three-dimensional figures through properties, theorems, and formulas. Questions connect angle relationships and triangle rules with calculations of perimeter, area, surface area, and volume, so area must not be confused with the space enclosed by a solid.
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222 questions · page 10 of 12
- A. 2 : 1
- B. 3 : 2
- C. 25 : 18
- D. 27 : 20
Explanation: The total surface area of the three small cubes is 6(3 cm)^2 + 6(4 cm)^2 + 6(5 cm)^2 = 54 cm2 + 96 cm2 + 150 cm2 = 300 cm2.
Correct answer: 25 : 18- A. 4920 cm2
- B. 4727 cm2
- C. 9856 cm2
- D. 19712 cm2
Explanation: Sphere surface area is proportional to r^2. Doubling the radius makes the surface area four times as large, so the new area is 4 x 2464…
Correct answer: 9856 cm2- A. 4 : 3
- B. 8 : 7
- C. 4 : 1
- D. 6 : 5
Explanation: Let the original dimensions be 3k and 2k, so the perimeter is 10k. If the new dimensions are 7m and 3m, their perimeter is 20m, giving m =…
Correct answer: 8 : 7- A. 91.5 cm
- B. 93.5 cm
- C. 94.5 cm
- D. 92.5 cm
Explanation: The arc length is (135°/360°) x 2π x 21 cm = 15.75π cm = 49.5 cm, using π = 22/7.
Correct answer: 91.5 cm- A. 140
- B. 156
- C. 175
- D. 214
Explanation: The square's side is √1225 sq.units = 35 units, so the circle's radius is 35 units.
Correct answer: 140186. The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
- A. 81 : 121
- B. 9 : 11
- C. 729 : 1331
- D. 27 : 12Everyday Science Quiz
Explanation: For cubes, volume is proportional to the cube of the side, so the side ratio is ∛(729 : 1331) = 9 : 11.
Correct answer: 81 : 121- A. 45 cm
- B. 18 cm
- C. 90 cm
- D. None of these
Explanation: Equating the volumes, (4/3)π(12 cm)^3 = π(16 cm)^2L. Thus L = [4 x 12^3 cm^3]/[3 x 16^2 cm^2] = 9 cm.
Correct answer: None of these- A. 252 m
- B. 704 m
- C. 352 m
- D. 808 m
Explanation: One revolution covers the wheel's circumference: 2π x 22.4 cm = 140.8 cm, using π = 22/7.
Correct answer: 704 m- A. Rs. 4800
- B. Rs. 3600
- C. Rs. 3560
- D. Rs. 4530
Explanation: The area of the four walls is 2(25 ft + 15 ft) x 12 ft = 960 sq.ft. Openings occupy 6 ft x 3 ft = 18 sq.ft and 3 x (4 ft x 3 ft) = 36…
Correct answer: Rs. 4530- A. 10
- B. 100
- C. 1000
- D. 10000
Explanation: Each 1 m edge is 100 cm, so each edge contains 100 cm ÷ 10 cm = 10 small cubes. The total number is 10 x 10 x 10 = 1,000 cubes.
Correct answer: 1000- A. 12 π cm
- B. 16 π cm
- C. 24 π cm
- D. 32 π cm
Explanation: The square has side √196 sq.cm = 14 cm, and this is half the larger circle's radius, so the larger radius is 28 cm.
Correct answer: 24 π cm- A. 3.34
- B. 2
- C. 4.5
- D. 5.5
Explanation: The garden radius is 4 m ÷ 2 = 2 m, and the path increases it to 2.25 m because 25 cm = 0.25 m.
Correct answer: 3.34- A. 4192 sq m
- B. 4304 sq m
- C. 4312 sq m
- D. 4360 sq m
Explanation: Using C = 2πr, the radii are 264 m ÷ (2 x 22/7) = 42 m and 352 m ÷ (2 x 22/7) = 56 m.
Correct answer: 4312 sq m- A. 200 sq cm
- B. 72 sq cm
- C. 162 sq cm
- D. Cannot be determined
Explanation: The rectangle's area is length x breadth = 480 sq.cm, but this does not determine its perimeter because many length and breadth pairs have…
Correct answer: Cannot be determined- A. 18 : 5
- B. 7 : 16
- C. 5 : 14
- D. None of these
Explanation: The square's side is √4096 sq.cm = 64 cm. The rectangle's length is 2 x 64 cm = 128 cm and its breadth is 64 cm - 24 cm = 40 cm, so…
Correct answer: None of these- A. Rs. 3642.40
- B. Rs. 3868.80
- C. Rs. 4216.20
- D. Rs. 4082.40
Explanation: The original length is 1.44 x 6 m = 8.64 m. The new dimensions are 8.64 x 1.40 = 12.096 m and 6 x 1.25 = 7.5 m, so the area is 12.096 x…
Correct answer: Rs. 4082.40- A. 27 m
- B. 24 m
- C. 18 m
- D. 21 m
Explanation: An increase of 200% means the length is 300% of the breadth, so length = 3 x breadth. The painted area is Rs. 324 ÷ Rs.
Correct answer: 18 m- A. 8.5 m
- B. 17 m
- C. 34 m
- D. 51 m
Explanation: Let the breadth be b m, so the length is 3b m. Then 3b2 = 867 m2, giving b2 = 289 m2 and b = 17 m.
Correct answer: 17 m- A. 8
- B. 12
- C. 6
- D. 2
Explanation: If the sides are a and b units, the square on the diagonal has area a2 + b2, while the rectangle has area ab.
Correct answer: 2- A. 1 : 96
- B. 1 : 48
- C. 1 : 84
- D. 1 : 68
Explanation: Write the sides as 4x cm and 3x cm. Since 12x2 cm2 = 6912 cm2, x2 = 576 cm2 and x = 24 cm, so the breadth is 72 cm; therefore breadth:area…
Correct answer: 1 : 96