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 5 of 12
- A. 1520 m2
- B. 2420 m2
- C. 2480 m2
- D. 2520 m2
Explanation: The perimeter gives length + breadth = 206 m ÷ 2 = 103 m. Solving length − breadth = 23 m and length + breadth = 103 m gives length = 63 m…
Correct answer: 2520 m2- A. 76 min
- B. 80min
- C. 90min
- D. 96min
Explanation: The required water volume is 200 m × 150 m × 2 m = 60,000 m3. The pipe area is 1.5 m × 1.25 m = 1.875 m2, and at 20 km/h = 20,000 m/h its…
Correct answer: 96min- A. 84 Sq.cm
- B. 124 Sq.cm
- C. 164 Sq.cm
- D. 180 Sq.cm
Explanation: A cuboid's total surface area is 2(lb + bd + lh). Substituting 10 cm, 4 cm and 3 cm gives 2[(10 cm × 4 cm) + (4 cm × 3 cm) + (10 cm × 3…
Correct answer: 164 Sq.cm- A. the volume of the box
- B. Twice the volume of the box
- C. the square of the volume of the box
- D. Cube root of the volume of the box
Explanation: If the cuboid dimensions are l, b and d, the areas of three adjacent faces are lb, bd and dl.
Correct answer: the square of the volume of the box- A. 125 Sq.cm
- B. 236 Sq.cm
- C. 361 Sq.cm
- D. None of these
Explanation: For dimensions l, b and d, (l + b + d)2 = l2 + b2 + d2 + 2(lb + bd + dl).
Correct answer: 236 Sq.cm- A. 720 Cu.m
- B. 1200 Cu.m
- C. 361 Sq.cm
- D. None of these
Explanation: Let the height be h m. The floor and ceiling area is 2(15 m × 12 m) = 360 m2, while the four walls have area 2h(15 m + 12 m) = 54h m2, so…
Correct answer: 1200 Cu.m- A. 1.227m
- B. 1.225m
- C. 1.233m
- D. 1.229m
Explanation: The outside drain increases each plot dimension by 20 m, so its outer area is 260 m × 200 m = 52,000 m2.
Correct answer: 1.227m- A. 15.16cm
- B. 16.17cm
- C. 17.18cm
- D. 18.19m
Explanation: The pit provides earth with volume 6 m × 3 m × 2.5 m = 45 m3. The field area is 20 m × 14 m = 280 m2, and the remaining area is 280 m2 −…
Correct answer: 17.18cm- A. 1/9
- B. 2/9
- C. 7/9
- D. 8/9
Explanation: The cylindrical tunnel gives volume πr2h = (22/7) × (2 m)2 × 56 m = 704 m3.
Correct answer: 2/9- A. 32
- B. 36
- C. 42
- D. 46
Explanation: A 1 cm rise equals 0.01 m, so the displaced water volume is 24 m × 15 m × 0.01 m = 3.6 m3.
Correct answer: 36- A. 2dm
- B. 6dm
- C. 18dm
- D. 72dm
Explanation: Let the length be L dm. The depth is L/3 dm, and the breadth is one-sixth of the difference between length and depth, so breadth = (L −…
Correct answer: 18dm- A. Rs.400
- B. Rs.500
- C. Rs.600
- D. Rs.800
Explanation: The tank height is capacity ÷ base area = 24 m3 ÷ (4 m × 3 m) = 2 m. One open tank surface, including its bottom and four sides, is 4 m ×…
Correct answer: Rs.800- A. 81000cu.cm
- B. 81775cu.cm
- C. 82125cu.cm
- D. None of these
Explanation: The outer dimensions are (115 cm + 5 cm) × (75 cm + 5 cm) × (35 cm + 5 cm) = 120 cm × 80 cm × 40 cm, because the 2.5 cm thickness occurs…
Correct answer: 82125cu.cm- A. 2.5m
- B. 3m
- C. 5.5m
- D. 4m
Explanation: The base area is 6500 cm2 = 0.65 m2, and the stated water volume is interpreted as 2.6 m3.
Correct answer: 4m- A. 14m
- B. 24m
- C. 28m
- D. 40m
Explanation: The wheel travels 88 km ÷ 1000 = 0.088 km = 88 m in one revolution, so its circumference is 88 m.
Correct answer: 28m- A. 484Sq.cm
- B. 538 2/7 Sq.cm
- C. 616 Sq.cm
- D. 644 Sq.cm
Explanation: A square with area 484 cm² has side √484 cm = 22 cm, so the wire length is 4 × 22 cm = 88 cm.
Correct answer: 616 Sq.cm- A. 15500Sq.m
- B. 15400Sq.m
- C. 15200Sq.m
- D. 15300Sq.m
Explanation: The square side is √12100 m² = 110 m, so its perimeter is 4 × 110 m = 440 m.
Correct answer: 15400Sq.m- A. 14m
- B. 21m
- C. 28m
- D. None of these
Explanation: A square of area 484 m² has side 22 m, so its perimeter is 88 m. The circle therefore has circumference 88 m, and its diameter is…
Correct answer: 28m- A. 49 Sq.cm
- B. 154 Sq.cm
- C. 378Sq.cm
- D. 1078 Sq.cm
Explanation: The largest circle inside a rectangle cannot have a diameter greater than the shorter side, 14 cm.
Correct answer: 154 Sq.cm- A. 6cm
- B. 3.2 cm
- C. 3 cm
- D. 3.5 cm
Explanation: The increase in area is pi[(r + 1 cm)² - r²] = pi(2r + 1 cm) = 22 cm². Using pi = 22/7 gives 2r + 1 cm = 7 cm, so 2r = 6 cm and r = 3 cm.
Correct answer: 3 cm