Knowledge Check : Mensuration
Knowledge Check
Basic Measurements
Q1: The length of a classroom is 8 metres. Its length in centimetres is
A) 80 cm
B) 800 cm
C) 8000 cm
D) 80 000 cm
Q2: A sack of rice weighs 75 kg. How many grams is this?
A) 750 g
B) 7500 g
C) 75 000 g
D) 7 50 000 g
Q3: A water tank holds 1500 litres. Its capacity in millilitres is
A) 15 000 ml
B) 1 50 000 ml
C) 15 00 000 ml
D) 1 50 00 000 ml
Q4: How many seconds are there in 3 hours 15 minutes?
A) 11 700 s
B) 11 900 s
C) 12 300 s
D) 12 900 s
Q5: In the traditional Indian calendar, the season “Hemanta” refers to
A) Spring
B) Early winter
C) Monsoon
D) Summer
Q6: The year 2028 will be a leap year because it is divisible by
A) 2 only
B) 4
C) 100
D) 400
Q7: 1 metric tonne = how many quintals?
A) 10 quintals
B) 100 quintals
C) 1000 quintals
D) 5 quintals
Q8: A farmer bought 3.5 quintals of seeds. How many kilograms is this?
A) 35 kg
B) 350 kg
C) 3500 kg
D) 35 000 kg
Q9: A school bell rings at 7:30 AM and again after 45 minutes. The next bell is at
A) 8:05 AM
B) 8:15 AM
C) 8:30 AM
D) 8:45 AM
Q10: How many days are there from 15th August to 2nd October in a non-leap year?
A) 47 days
B) 48 days
C) 49 days
D) 50 days
Q11: A shopkeeper sells 1 litre milk packet for ₹60. The cost of 250 ml milk is
A) ₹12
B) ₹15
C) ₹18
D) ₹20
Q12: A cricket bat weighs 1.2 kg. In grams it is
A) 120 g
B) 1200 g
C) 12 000 g
D) 120 000 g
Q13: A village well is 15 m deep. Depth in centimetres is
A) 150 cm
B) 1500 cm
C) 15 000 cm
D) 1 50 000 cm
Q14: A school function starts at 9:00 AM and lasts 2 hours 30 minutes. It ends at
A) 11:00 AM
B) 11:30 AM
C) 12:00 PM
D) 12:30 PM
Q15: The traditional Indian season “Sharad” corresponds to
A) Autumn
B) Winter
C) Spring
D) Summer
Q16: 1 litre of water weighs approximately
A) 100 g
B) 500 g
C) 1 kg
D) 10 kg
Q17: A school trip bus covers 240 km in 4 hours. Average speed in km/h is
A) 50 km/h
B) 60 km/h
C) 70 km/h
D) 80 km/h
Q18: How many paise are there in ₹150?
A) 1500 paise
B) 15 000 paise
C) 150 000 paise
D) 1 50 000 paise
Q19: A school ground is 80 m long. How many centimetres is this?
A) 800 cm
B) 8000 cm
C) 80 000 cm
D) 8 00 000 cm
Q20: A milkman delivers 5 litres of milk daily. In one week (7 days) he delivers
A) 30 litres
B) 35 litres
C) 40 litres
D) 45 litres
Symmetry
Q21: How many lines of symmetry does a square have?
A) 1
B) 2
C) 4
D) 8
Q22: Which shape has only one line of symmetry?
A) Square
B) Rectangle
C) Isosceles triangle
D) Circle
Q23: A rectangle has rotational symmetry of order:
A) 1
B) 2
C) 3
D) 4
Q24: Which of the following shapes has infinite lines of symmetry?
A) Square
B) Rectangle
C) Circle
D) Triangle
Q25: A regular pentagon has rotational symmetry of order:
A) 2
B) 3
C) 4
D) 5
Q26: Which figure does NOT have line symmetry?
A) Regular hexagon
B) Scalene triangle
C) Circle
D) Square
Q27: A regular hexagon has how many lines of symmetry?
A) 3
B) 4
C) 6
D) 8
Q28: Which of the following has no rotational symmetry?
A) Rectangle
B) Square
C) Irregular shape
D) Circle
Q29: A square rotated by 90° will appear:
A) Different
B) Same
C) Smaller
D) Disappeared
Q30: Which line divides a figure into two identical halves?
A) Diameter
B) Median
C) Line of symmetry
D) Axis line
Q31: Which object in daily life shows circular symmetry?
A) Door
B) Ceiling fan
C) Book
D) Table
Q32: Which shape has exactly 2 lines of symmetry?
A) Rectangle
B) Square
C) Circle
D) Triangle
Q33: A figure matches after rotation of 180°. Its rotational symmetry order is:
A) 1
B) 2
C) 3
D) 4
Q34: Which shape has both reflection and rotational symmetry?
A) Square
B) Scalene triangle
C) Kite
D) Trapezium
Q35: Which angle of rotation makes a square look the same?
A) 45°
B) 60°
C) 90°
D) 120°
Q36: A circle rotated through any angle always looks same. This is because it has:
A) No symmetry
B) Infinite symmetry
C) Two symmetries
D) Three symmetries
Q37: A square table top, when viewed from above, shows:
A) Only line symmetry
B) Only rotational symmetry
C) Both line and rotational symmetry
D) No symmetry
Q38: A triangle that has rotational symmetry is always:
A) Right-angled
B) Isosceles
C) Equilateral
D) Scalene
Q39: Which of the following has no line symmetry?
A) Isosceles triangle
B) Rectangle
C) Scalene triangle
D) Square
Q40: The letter ‘O’ of English alphabet has:
A) Zero symmetry
B) One line symmetry
C) Two line symmetries
D) Infinite line symmetries
Perimeter
Q41: A triangular school garden has sides 30 m, 40 m and 50 m. The cost of fencing at ₹60 per metre is
A) ₹7200
B) ₹6600
C) ₹7800
D) ₹8400
Q42: A square playground has perimeter 240 m. Its side length is
A) 50 m
B) 60 m
C) 70 m
D) 80 m
Q43: A rectangular field is 75 m long and 50 m wide. The cost of fencing at ₹25 per metre is
A) ₹6250
B) ₹6500
C) ₹7000
D) ₹7500
Q44: All sides of a rhombus park are 45 m. The fencing required is
A) 160 m
B) 170 m
C) 180 m
D) 190 m
Q45: A trapezium plot has parallel sides 40 m and 60 m, non-parallel sides 25 m each. Perimeter is
A) 140 m
B) 150 m
C) 160 m
D) 170 m
Q46: A parallelogram field has adjacent sides 80 m and 50 m. Its perimeter is
A) 240 m
B) 260 m
C) 280 m
D) 300 m
Q47: The radius of a circular park is 35 m. Length of wire needed to fence it (use π = 22/7) is
A) 210 m
B) 220 m
C) 230 m
D) 240 m
Q48: A regular pentagon has each side 18 m. Its perimeter is
A) 80 m
B) 85 m
C) 90 m
D) 95 m
Q49: A farmer wants to fence a triangular field with sides 120 m, 160 m and 200 m. Total fencing required is
A) 460 m
B) 480 m
C) 500 m
D) 520 m
Q50: A square and an equilateral triangle have the same perimeter 72 m. Side of triangle is
A) 20 m
B) 22 m
C) 24 m
D) 26 m
Q51: The circumference of a circular flower bed is 154 m (π = 22/7). Radius is
A) 21 m
B) 24 m
C) 28 m
D) 35 m
Q52: A regular hexagon has perimeter 96 cm. Each side measures
A) 14 cm
B) 16 cm
C) 18 cm
D) 20 cm
Q53: A rhombus-shaped tile has side 15 cm. Wire needed to border one tile is
A) 45 cm
B) 50 cm
C) 60 cm
D) 75 cm
Q54: A rectangular park is 120 m long and 80 m wide. Length of wire for two rounds of fencing is
A) 800 m
B) 760 m
C) 720 m
D) 680 m
Q55: A regular octagon field has each side 25 m. Its perimeter is
A) 180 m
B) 200 m
C) 220 m
D) 240 m
Q56: A circular running track has circumference 440 m. Radius (π = 22/7) is
A) 60 m
B) 65 m
C) 70 m
D) 75 m
Q57: A trapezium has sides 20 m, 30 m, 15 m and 25 m. Perimeter is
A) 80 m
B) 85 m
C) 90 m
D) 95 m
Q58: A square plot has area 144 m². Its perimeter is
A) 36 m
B) 48 m
C) 54 m
D) 60 m
Q59: A parallelogram has sides 35 cm and 28 cm. Perimeter is
A) 116 cm
B) 124 cm
C) 126 cm
D) 128 cm
Q60: A triangular frame has sides 18 cm, 24 cm and 30 cm. Total length of wire used is
A) 68 cm
B) 70 cm
C) 72 cm
D) 74 cm
Perimeter of Plane Figures
Q61: The perimeter of a square with side 7 cm is:
A) 14 cm
B) 21 cm
C) 28 cm
D) 49 cm
Q62: A rectangle has length 10 cm and breadth 6 cm. Find its perimeter.
A) 32 cm
B) 26 cm
C) 28 cm
D) 40 cm
Q63: The perimeter of a triangle with sides 5 cm, 6 cm and 7 cm is:
A) 12 cm
B) 16 cm
C) 18 cm
D) 20 cm
Q64: Which formula is used to find the perimeter of a circle?
A) πr²
B) 2πr
C) πd²
D) d²
Q65: A farmer fenced a rectangular field of 20 m and 15 m. What is the length of fencing?
A) 50 m
B) 60 m
C) 70 m
D) 80 m
Q66: If the side of an equilateral triangle is 9 cm, what is its perimeter?
A) 18 cm
B) 27 cm
C) 36 cm
D) 45 cm
Q67: The radius of a circle is 7 cm. Find its perimeter (π = 22/7).
A) 44 cm
B) 22 cm
C) 14 cm
D) 88 cm
Q68: Which of the following shapes has the longest perimeter for same side length?
A) Triangle
B) Square
C) Pentagon
D) Circle
Q69: Perimeter of a rhombus with side 11 cm is:
A) 22 cm
B) 33 cm
C) 44 cm
D) 55 cm
Q70: Which unit is used for measuring perimeter?
A) Square centimetre
B) Cubic metre
C) Centimetre
D) Litre
Q71: The perimeter of a regular hexagon of side 5 cm is:
A) 20 cm
B) 25 cm
C) 30 cm
D) 35 cm
Q72: A rectangular park is 50 m long and 30 m wide. A person walks around it once. Distance covered is:
A) 100 m
B) 140 m
C) 160 m
D) 200 m
Q73: Which shape has its perimeter equal to sum of all its sides?
A) Only square
B) All polygons
C) Only circle
D) Only triangle
Q74: A wire of length 88 cm is bent to form a circle. What is its radius? (π = 22/7)
A) 14 cm
B) 7 cm
C) 11 cm
D) 28 cm
Q75: If each side of a square is doubled, its perimeter becomes:
A) Double
B) Triple
C) Four times
D) Same
Q76: Perimeter of a square is 64 cm. What is the length of one side?
A) 8 cm
B) 16 cm
C) 4 cm
D) 32 cm
Q77: A square runs around a ground of side 25 m. What distance does the child cover?
A) 50 m
B) 75 m
C) 100 m
D) 125 m
Q78: Which shape has fixed perimeter but area may change?
A) Circle
B) Rectangle
C) Square
D) Triangle
Q79: A round track has radius 14 m. Find its perimeter. (π = 22/7)
A) 88 m
B) 44 m
C) 66 m
D) 98 m
Q80: Which figure has largest perimeter if all have equal area?
A) Circle
B) Square
C) Rectangle
D) Triangle
Surface Area and Volume – 3D Figures
Q81: A cuboidal overhead tank is 6 m long, 4 m wide and 2.5 m high. Its capacity in litres is
A) 50 000 litres
B) 60 000 litres
C) 70 000 litres
D) 80 000 litres
Q82: A cube has edge 8 cm. Its total surface area is
A) 384 cm²
B) 512 cm²
C) 256 cm²
D) 192 cm²
Q83: A cylindrical pillar has radius 14 cm and height 2 m. Its curved surface area (π = 22/7) is
A) 1.76 m²
B) 1.88 m²
C) 2.00 m²
D) 2.14 m²
Q84: A sphere has radius 7 cm. Its surface area (π = 22/7) is
A) 616 cm²
B) 154 cm²
C) 1232 cm²
D) 308 cm²
Q85: Volume of a cone with radius 7 cm and height 12 cm (π = 22/7) is
A) 308 cm³
B) 616 cm³
C) 924 cm³
D) 1848 cm³
Q86: A cuboid has dimensions 10 cm × 8 cm × 5 cm. Its volume is
A) 400 cm³
B) 800 cm³
C) 1200 cm³
D) 1600 cm³
Q87: Capacity of a cylindrical bucket (radius 21 cm, height 40 cm) in litres (π = 22/7) is
A) 52.8 litres
B) 55.4 litres
C) 57.2 litres
D) 60.0 litres
Q88: A hemisphere has radius 14 cm. Its curved surface area (π = 22/7) is
A) 616 cm²
B) 1232 cm²
C) 1848 cm²
D) 2464 cm²
Q89: Volume of a sphere with radius 21 cm (π = 22/7) is
A) 38 808 cm³
B) 36 288 cm³
C) 40 824 cm³
D) 42 840 cm³
Q90: A cubical box of side 15 cm can hold how many litres?
A) 2.5 litres
B) 3.0 litres
C) 3.375 litres
D) 4.0 litres
A) 6.6 m²
B) 7.2 m²
C) 7.8 m²
D) 8.4 m²
Q92: A solid cube of side 12 cm is melted to form a sphere. Radius of sphere is
A) 6 cm
B) 7 cm
C) 8 cm
D) 9 cm
Q93: Total surface area of a hemisphere of radius 7 cm (π = 22/7) is
A) 462 cm²
B) 616 cm²
C) 924 cm²
D) 308 cm²
Q94: Volume of a cuboid 20 cm × 15 cm × 10 cm is
A) 3000 cm³
B) 3500 cm³
C) 4000 cm³
D) 4500 cm³
Q95: A conical tent has base radius 7 m and height 24 m. Volume of air inside is
A) 1232 m³
B) 1320 m³
C) 1408 m³
D) 1540 m³
Q96: 1 cubic metre = how many litres?
A) 100 litres
B) 500 litres
C) 1000 litres
D) 10 000 litres
Q97: A cylinder has radius 7 cm and height 10 cm. Its total surface area (π = 22/7) is
A) 770 cm²
B) 726 cm²
C) 748 cm²
D) 814 cm²
Q98: A cube and a sphere have equal volumes. If side of cube is 12 cm, radius of sphere is
A) 6 cm
B) 7 cm
C) 8 cm
D) 9 cm
Q99: A hemispherical bowl has radius 7 cm. Maximum water it can hold (π = 22/7) is
A) 718 cm³
B) 1078 cm³
C) 1436 cm³
D) 2154 cm³
Q100: Total surface area of a cuboid 15 cm × 10 cm × 6 cm is
A) 900 cm²
B) 780 cm²
C) 840 cm²
D) 720 cm²
Combination and Conversion of Solids
Q101: A metallic sphere of radius 6 cm is melted and recast into a cylinder of radius 6 cm. The height of the cylinder is
A) 8 cm
B) 10 cm
C) 12 cm
D) 16 cm
Q102: An ice-cream cone has hemispherical top of radius 3 cm and conical part height 8 cm. Total volume of ice-cream it can hold (π = 22/7) is
A) 105 cm³
B) 114 cm³
C) 120 cm³
D) 126 cm³
Q103: A solid cube of side 12 cm is melted to form a sphere. The radius of the sphere is
A) 4 cm
B) 6 cm
C) 8 cm
D) 9 cm
Q104: A capsule is in the shape of a cylinder with two hemispheres at both ends. If cylinder height is 14 cm and radius 3 cm, total surface area (π = 22/7) is
A) 264 cm²
B) 288 cm²
C) 312 cm²
D) 336 cm²
Q105: A conical vessel of radius 6 cm and height 8 cm is completely filled with water. This water is emptied into a cylindrical vessel of radius 4 cm. Rise in water level in cylinder is
A) 6 cm
B) 8 cm
C) 9 cm
D) 12 cm
Q106: A solid metallic cone of radius 10 cm and height 24 cm is melted and made into small spheres of radius 2 cm. Number of spheres formed is
A) 80
B) 90
C) 100
D) 120
Q107: A toy is in the shape of a hemisphere surmounted by a cone. Radius is 7 cm, height of cone 24 cm. Total surface area (π = 22/7) is
A) 858 cm²
B) 880 cm²
C) 902 cm²
D) 924 cm²
Q108: A sphere of radius 3 cm is dropped into a cylindrical vessel of radius 6 cm partly filled with water. Rise in water level is
A) 0.5 cm
B) 1 cm
C) 1.5 cm
D) 2 cm
Q109: A solid iron cuboid 20 cm × 10 cm × 8 cm is melted to form a sphere. Radius of the sphere is
A) 8 cm
B) 9 cm
C) 10 cm
D) 12 cm
Q110: A bucket is in the shape of a frustum, but for simplicity, a cylindrical bucket of radius 21 cm is filled by a conical vessel of radius 21 cm and height 12 cm. How many cones are needed?
A) 2
B) 3
C) 4
D) 5
Q111: A temple bell is made by joining a hemisphere and a cone. Total volume of metal used is 1232 cm³. If radius is 7 cm, height of cone is
A) 21 cm
B) 24 cm
C) 28 cm
D) 32 cm
Q112: A solid sphere is melted and recast into a cone of same radius. Ratio of height of cone to diameter of sphere is
A) 1:1
B) 2:1
C) 3:1
D) 4:1
Q113: A cylindrical jar of radius 7 cm contains water up to 10 cm. A solid cone of radius 7 cm and height 30 cm is immersed. Rise in water level is
A) 5 cm
B) 10 cm
C) 15 cm
D) 20 cm
Q114: A solid cube is melted to form 8 smaller identical spheres. If side of cube is 12 cm, radius of each sphere is
A) 3 cm
B) 4 cm
C) 5 cm
D) 6 cm
Q115: An iron ball of radius 6 cm is melted and recast into three smaller balls of radii 2 cm, 3 cm and x cm. Value of x is
A) 4 cm
B) 5 cm
C) 6 cm
D) 7 cm
Q116: A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. Height of cylinder is 7 cm, radius 7 cm. Total inner surface area (π = 22/7) is
A) 770 cm²
B) 858 cm²
C) 924 cm²
D) 990 cm²
Q117: A solid metallic cuboid is melted to form a cone. Volume remains same. This is an example of
A) Change in shape only
B) Change in volume
C) Change in density
D) Change in mass
Q118: A conical tent of radius 10 m can accommodate certain number of people. If radius is doubled, how many times more people can sit?
A) 2 times
B) 4 times
C) 6 times
D) 8 times
Q119: A solid sphere is cut into two equal hemispheres. The total surface area becomes
A) Same
B) Double
C) 1.5 times
D) 3 times
Q120: A solid cube of side 8 cm is melted to form a cylinder of height 8 cm. Radius of cylinder is
A) 4 cm
B) 5 cm
C) 6 cm
D) 8 cm