Basic Geometry Competitive Exams
100 questions · Mathematics
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Question 1 of 100
Find the complementary angle of 61°.
ExplanationComplementary angles sum to 90°. 90° - 61° = 29°.
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Question 2 of 100
Find the circumference of a circle with radius 7 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 7 = 44 cm.
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Question 3 of 100
Find the supplementary angle of 30°.
ExplanationSupplementary angles sum to 180°. 180° - 30° = 150°.
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Question 4 of 100
What is the area of a rectangle with length 9 cm and width 5 cm?
ExplanationArea of rectangle = length × width = 9 × 5 = 45 sq cm.
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Question 5 of 100
Find the perimeter of a rectangle with length 6 cm and width 12 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (6 + 12) = 36 cm.
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Question 6 of 100
What is the measure of each interior angle of a regular polygon with 6 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(6-2) × 180] / 6 = 120°.
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Question 7 of 100
In a right-angled triangle, base is 15 and perpendicular is 20. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 15² + 20² = 625. H = √625 = 25.
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Question 8 of 100
What is the area of a circle with radius 70 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 70 × 70 = 15400 sq cm.
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Question 9 of 100
What is the area of a rectangle with length 20 cm and width 9 cm?
ExplanationArea of rectangle = length × width = 20 × 9 = 180 sq cm.
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Question 10 of 100
What is the area of a circle with radius 49 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 49 × 49 = 7546 sq cm.
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Question 11 of 100
What is the area of a circle with radius 56 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 56 × 56 = 9856 sq cm.
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Question 12 of 100
Calculate the area of a triangle with base 18 cm and height 12 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 18 × 12 = 108.0 sq cm.
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Question 13 of 100
Find the supplementary angle of 167°.
ExplanationSupplementary angles sum to 180°. 180° - 167° = 13°.
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Question 14 of 100
What is the area of a circle with radius 14 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 14 × 14 = 616 sq cm.
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Question 15 of 100
What is the area of a circle with radius 42 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 42 × 42 = 5544 sq cm.
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Question 16 of 100
Calculate the area of a triangle with base 24 cm and height 14 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 24 × 14 = 168.0 sq cm.
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Question 17 of 100
What is the measure of each interior angle of a regular polygon with 14 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(14-2) × 180] / 14 = 154.29°.
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Question 18 of 100
Find the complementary angle of 30°.
ExplanationComplementary angles sum to 90°. 90° - 30° = 60°.
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Question 19 of 100
Find the supplementary angle of 96°.
ExplanationSupplementary angles sum to 180°. 180° - 96° = 84°.
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Question 20 of 100
What is the area of a rectangle with length 10 cm and width 7 cm?
ExplanationArea of rectangle = length × width = 10 × 7 = 70 sq cm.
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Question 21 of 100
What is the area of a circle with radius 35 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 35 × 35 = 3850 sq cm.
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Question 22 of 100
What is the measure of each interior angle of a regular polygon with 12 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(12-2) × 180] / 12 = 150°.
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Question 23 of 100
What is the sum of interior angles of a polygon with 10 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=10, (10-2) × 180 = 1440°.
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Question 24 of 100
Find the perimeter of a rectangle with length 17 cm and width 9 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (17 + 9) = 52 cm.
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Question 25 of 100
In a right-angled triangle, base is 9 and perpendicular is 12. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 9² + 12² = 225. H = √225 = 15.
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Question 26 of 100
What is the sum of interior angles of a polygon with 14 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=14, (14-2) × 180 = 2160°.
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Question 27 of 100
In a right-angled triangle, base is 12 and perpendicular is 16. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 12² + 16² = 400. H = √400 = 20.
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Question 28 of 100
What is the area of a circle with radius 63 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 63 × 63 = 12474 sq cm.
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Question 29 of 100
Find the complementary angle of 67°.
ExplanationComplementary angles sum to 90°. 90° - 67° = 23°.
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Question 30 of 100
What is the area of a rectangle with length 18 cm and width 15 cm?
ExplanationArea of rectangle = length × width = 18 × 15 = 270 sq cm.
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Question 31 of 100
What is the area of a rectangle with length 17 cm and width 9 cm?
ExplanationArea of rectangle = length × width = 17 × 9 = 153 sq cm.
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Question 32 of 100
In a right-angled triangle, base is 3 and perpendicular is 4. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 3² + 4² = 25. H = √25 = 5.
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Question 33 of 100
What is the measure of each interior angle of a regular polygon with 8 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(8-2) × 180] / 8 = 135°.
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Question 34 of 100
Find the perimeter of a rectangle with length 15 cm and width 6 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (15 + 6) = 42 cm.
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Question 35 of 100
What is the measure of each interior angle of a regular polygon with 11 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(11-2) × 180] / 11 = 147.27°.
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Question 36 of 100
What is the area of a circle with radius 28 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 28 × 28 = 2464 sq cm.
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Question 37 of 100
Find the complementary angle of 13°.
ExplanationComplementary angles sum to 90°. 90° - 13° = 77°.
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Question 38 of 100
Calculate the area of a triangle with base 17 cm and height 21 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 17 × 21 = 178.5 sq cm.
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Question 39 of 100
Find the perimeter of a rectangle with length 20 cm and width 16 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (20 + 16) = 72 cm.
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Question 40 of 100
In a right-angled triangle, base is 5 and perpendicular is 12. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 5² + 12² = 169. H = √169 = 13.
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Question 41 of 100
Find the circumference of a circle with radius 28 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 28 = 176 cm.
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Question 42 of 100
Calculate the area of a triangle with base 12 cm and height 11 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 12 × 11 = 66.0 sq cm.
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Question 43 of 100
Find the circumference of a circle with radius 112 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 112 = 704 cm.
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Question 44 of 100
Find the perimeter of a rectangle with length 11 cm and width 18 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (11 + 18) = 58 cm.
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Question 45 of 100
Find the circumference of a circle with radius 21 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 21 = 132 cm.
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Question 46 of 100
Find the circumference of a circle with radius 14 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 14 = 88 cm.
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Question 47 of 100
Find the circumference of a circle with radius 119 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 119 = 748 cm.
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Question 48 of 100
What is the sum of interior angles of a polygon with 9 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=9, (9-2) × 180 = 1260°.
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Question 49 of 100
Find the supplementary angle of 121°.
ExplanationSupplementary angles sum to 180°. 180° - 121° = 59°.
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Question 50 of 100
What is the sum of interior angles of a polygon with 11 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=11, (11-2) × 180 = 1620°.
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Question 51 of 100
Find the circumference of a circle with radius 84 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 84 = 528 cm.
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Question 52 of 100
What is the area of a rectangle with length 12 cm and width 15 cm?
ExplanationArea of rectangle = length × width = 12 × 15 = 180 sq cm.
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Question 53 of 100
Find the complementary angle of 49°.
ExplanationComplementary angles sum to 90°. 90° - 49° = 41°.
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Question 54 of 100
What is the measure of each interior angle of a regular polygon with 9 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(9-2) × 180] / 9 = 140°.
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Question 55 of 100
Find the supplementary angle of 149°.
ExplanationSupplementary angles sum to 180°. 180° - 149° = 31°.
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Question 56 of 100
In a right-angled triangle, base is 6 and perpendicular is 8. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 6² + 8² = 100. H = √100 = 10.
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Question 57 of 100
Find the supplementary angle of 101°.
ExplanationSupplementary angles sum to 180°. 180° - 101° = 79°.
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Question 58 of 100
In a right-angled triangle, base is 10 and perpendicular is 24. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 10² + 24² = 676. H = √676 = 26.
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Question 59 of 100
In a right-angled triangle, base is 7 and perpendicular is 24. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 7² + 24² = 625. H = √625 = 25.
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Question 60 of 100
What is the area of a circle with radius 77 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 77 × 77 = 18634 sq cm.
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Question 61 of 100
What is the sum of interior angles of a polygon with 7 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=7, (7-2) × 180 = 900°.
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Question 62 of 100
Find the complementary angle of 39°.
ExplanationComplementary angles sum to 90°. 90° - 39° = 51°.
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Question 63 of 100
Calculate the area of a triangle with base 15 cm and height 20 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 15 × 20 = 150.0 sq cm.
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Question 64 of 100
What is the area of a rectangle with length 8 cm and width 8 cm?
ExplanationArea of rectangle = length × width = 8 × 8 = 64 sq cm.
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Question 65 of 100
What is the sum of interior angles of a polygon with 12 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=12, (12-2) × 180 = 1800°.
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Question 66 of 100
Find the complementary angle of 31°.
ExplanationComplementary angles sum to 90°. 90° - 31° = 59°.
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Question 67 of 100
Find the perimeter of a rectangle with length 11 cm and width 20 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (11 + 20) = 62 cm.
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Question 68 of 100
Find the circumference of a circle with radius 91 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 91 = 572 cm.
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Question 69 of 100
Calculate the area of a triangle with base 24 cm and height 19 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 24 × 19 = 228.0 sq cm.
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Question 70 of 100
Calculate the area of a triangle with base 10 cm and height 13 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 10 × 13 = 65.0 sq cm.
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Question 71 of 100
Find the perimeter of a rectangle with length 11 cm and width 13 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (11 + 13) = 48 cm.
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Question 72 of 100
Calculate the area of a triangle with base 19 cm and height 27 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 19 × 27 = 256.5 sq cm.
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Question 73 of 100
What is the area of a circle with radius 21 cm? (Use π=22/7)
ExplanationArea = πr² = (22/7) × 21 × 21 = 1386 sq cm.
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Question 74 of 100
What is the area of a rectangle with length 5 cm and width 5 cm?
ExplanationArea of rectangle = length × width = 5 × 5 = 25 sq cm.
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Question 75 of 100
What is the measure of each interior angle of a regular polygon with 10 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(10-2) × 180] / 10 = 144°.
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Question 76 of 100
Calculate the area of a triangle with base 13 cm and height 12 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 13 × 12 = 78.0 sq cm.
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Question 77 of 100
Find the supplementary angle of 105°.
ExplanationSupplementary angles sum to 180°. 180° - 105° = 75°.
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Question 78 of 100
Find the complementary angle of 33°.
ExplanationComplementary angles sum to 90°. 90° - 33° = 57°.
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Question 79 of 100
What is the measure of each interior angle of a regular polygon with 5 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(5-2) × 180] / 5 = 108°.
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Question 80 of 100
Find the perimeter of a rectangle with length 16 cm and width 6 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (16 + 6) = 44 cm.
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Question 81 of 100
In a right-angled triangle, base is 20 and perpendicular is 21. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 20² + 21² = 841. H = √841 = 29.
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Question 82 of 100
Find the supplementary angle of 47°.
ExplanationSupplementary angles sum to 180°. 180° - 47° = 133°.
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Question 83 of 100
What is the sum of interior angles of a polygon with 6 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=6, (6-2) × 180 = 720°.
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Question 84 of 100
What is the area of a rectangle with length 19 cm and width 13 cm?
ExplanationArea of rectangle = length × width = 19 × 13 = 247 sq cm.
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Question 85 of 100
What is the sum of interior angles of a polygon with 15 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=15, (15-2) × 180 = 2340°.
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Question 86 of 100
What is the area of a rectangle with length 9 cm and width 6 cm?
ExplanationArea of rectangle = length × width = 9 × 6 = 54 sq cm.
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Question 87 of 100
What is the sum of interior angles of a polygon with 13 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=13, (13-2) × 180 = 1980°.
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Question 88 of 100
Find the perimeter of a rectangle with length 20 cm and width 13 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (20 + 13) = 66 cm.
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Question 89 of 100
Find the circumference of a circle with radius 105 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 105 = 660 cm.
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Question 90 of 100
Find the perimeter of a rectangle with length 19 cm and width 12 cm.
ExplanationPerimeter = 2 × (length + width) = 2 × (19 + 12) = 62 cm.
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Question 91 of 100
Find the complementary angle of 52°.
ExplanationComplementary angles sum to 90°. 90° - 52° = 38°.
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Question 92 of 100
Find the supplementary angle of 32°.
ExplanationSupplementary angles sum to 180°. 180° - 32° = 148°.
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Question 93 of 100
What is the measure of each interior angle of a regular polygon with 15 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(15-2) × 180] / 15 = 156°.
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Question 94 of 100
Find the complementary angle of 72°.
ExplanationComplementary angles sum to 90°. 90° - 72° = 18°.
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Question 95 of 100
Find the supplementary angle of 94°.
ExplanationSupplementary angles sum to 180°. 180° - 94° = 86°.
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Question 96 of 100
What is the measure of each interior angle of a regular polygon with 13 sides?
ExplanationEach interior angle = [(n-2) × 180] / n = [(13-2) × 180] / 13 = 152.31°.
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Question 97 of 100
What is the sum of interior angles of a polygon with 4 sides?
ExplanationFormula for sum of interior angles: (n-2) × 180. For n=4, (4-2) × 180 = 360°.
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Question 98 of 100
In a right-angled triangle, base is 8 and perpendicular is 15. Find hypotenuse.
ExplanationUsing Pythagoras theorem: H² = B² + P² = 8² + 15² = 289. H = √289 = 17.
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Question 99 of 100
Find the circumference of a circle with radius 98 cm. (Use π=22/7)
ExplanationCircumference = 2πr = 2 × (22/7) × 98 = 616 cm.
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Question 100 of 100
Calculate the area of a triangle with base 27 cm and height 10 cm.
ExplanationArea of triangle = 1/2 × base × height = 0.5 × 27 × 10 = 135.0 sq cm.
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