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 8 of 12
- A. 1390 cm2
- B. 695 cm2
- C. 1280 cm2
- D. 1220 cm2
Explanation: For a closed rectangular box, cardboard area is 2(lb + bh + lh). Substituting 25 cm, 15 cm and 8 cm gives 2[(25 cm x 15 cm) + (15 cm x 8…
Correct answer: 1390 cm2- A. 4500 M3
- B. 27000 M3
- C. 3000 M3
- D. 2700 M3
Explanation: The river's cross-sectional area is 2 m x 45 m = 90 m2. Its speed is 3 km/h = 3000 m/h = 50 m/min, so the water flowing each minute is 90…
Correct answer: 4500 M3- A. 8.56 kg
- B. 7.76 kg
- C. 7.756 kg
- D. 6.832 kg
Explanation: Taking 52 cm x 40 cm x 29 cm as the outside dimensions of an open box, the inside dimensions are 48 cm x 36 cm x 27 cm because the 2 cm…
Correct answer: 6.832 kg144. The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is________?
- A. 4:3
- B. 4:2
- C. 4:4
- D. 6: π
Explanation: If a sphere fits inside a cube, its diameter equals the cube's side, say a.
Correct answer: 6: π- A. Rs.60
- B. Rs.57
- C. Rs.55
- D. Rs.52
Explanation: The area of the four walls is 2h(l + b) = 2 x 3 m x (15 m + 4 m) = 114 m2.
Correct answer: Rs.57- A. 1000
- B. 600
- C. 2400
- D. 1200
Explanation: The floor area is 30 m x 20 m = 600 m2. A carpet strip 50 cm wide has width 0.5 m, so its required length is 600 m2 / 0.5 m = 1200 m.
Correct answer: 1200- A. 25 m
- B. 35 m
- C. 45 m
- D. 50 m
Explanation: At 50 paise per m2, or Rs.0.50 per m2, an expenditure of Rs.600 covers 600 / 0.50 = 1200 m2.
Correct answer: 50 m- A. 4:3
- B. 16:9
- C. 64:27
- D. 3:4
Explanation: The space diagonal of a cube with side s is s√3, so the common factor √3 does not change the ratio.
Correct answer: 4:3- A. 21 cm
- B. 19 cm
- C. 32 cm
- D. 18 cm
Explanation: Because the metal is melted without loss, the new cube's volume is the sum of the original volumes: 9 cm cubed + 12 cm cubed + 15 cm cubed…
Correct answer: 18 cm- A. 27:1
- B. 1:27
- C. 1:9
- D. 9:1
Explanation: Sphere volume is proportional to the cube of its radius, V = 4/3 pi r3. Thus radii 1:3 give volumes 1 cubed:3 cubed = 1:27.
Correct answer: 1:27- A. 36
- B. 64
- C. 27
- D. 16
Explanation: The number of smaller spherical shots is the ratio of volumes, not the ratio of radii.
Correct answer: 27- A. 3:4
- B. 4:3
- C. 3:1
- D. 1:3Everyday Science Quiz
Explanation: The whole surface area of a sphere is 4pi r2, while the total surface area of a hemisphere, including its circular base, is 3pi r2.
Correct answer: 4:3- A. 1 cm
- B. 2 cm
- C. 4 cm
- D. 3 cm
Explanation: The curved surface area of a sphere is 4πr². Thus 4πr² = 64π, so r² = 16 cm² and r = 4 cm.
Correct answer: 4 cm- A. 74 π cm2
- B. 36 π cm2
- C. 48 π cm2
- D. 24 π cm2
Explanation: The curved surface area of a cone is πrl, where r = 4 cm and l = 12 cm. Therefore, π × 4 cm × 12 cm = 48π cm².
Correct answer: 48 π cm2- A. 120 cm3
- B. 40 cm3
- C. 50 cm3
- D. 60 cm3
Explanation: The volume of a cone is one-third of its base area multiplied by its height. So V = 1/3 × 30 cm² × 6 cm = 60 cm³.
Correct answer: 60 cm3- A. 12 π cm3
- B. 6 π cm3
- C. 8 π cm3
- D. 10 π cm3
Explanation: Using V = 1/3πr²h, the volume is 1/3 × π × (3 cm)² × 4 cm = 1/3 × π × 9 cm² × 4 cm = 12π cm³.
Correct answer: 12 π cm3- A. 1:2
- B. 2:1
- C. 1:4
- D. 4:1
Explanation: The curved surface area of a cylinder is 2πrh. Since the heights are equal, 2πh is common to both cylinders, so their curved surface areas…
Correct answer: 1:2- A. 360 cc
- B. 60 cc
- C. 300 cc
- D. 36 cc
Explanation: Cylinder volume is πr²h, so with equal heights the volume ratio is the square of the radius ratio: 1²:3² = 1:9.
Correct answer: 360 cc- A. Rs.1185
- B. Rs.1285
- C. Rs.1385
- D. Rs.1485
Explanation: The well is a cylinder with radius 3 m ÷ 2 = 1.5 m and height 14 m. Its volume is π × (1.5 m)² × 14 m = 31.5π m³ = 99 m³ using π = 22/7…
Correct answer: Rs.1485160. The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
- A. 308 sq cm
- B. 220 sq cm
- C. 440 sq cm
- D. 132 sq cm
Explanation: The whole surface area of a closed cylinder is 2πr(h + r). Substituting r = 7 cm and h = 3 cm gives 2π × 7 cm × 10 cm = 140π cm² = 440 cm²…
Correct answer: 440 sq cm