Knowledge Check : Mensuration
Basic Measurements
Q1: 1 kilometre is equal to how many metres?
A) 10 m
B) 100 m
C) 1000 m
D) 10,000 m
Q2: Which of the following is NOT a unit of area?
A) m²
B) cm²
C) mm²
D) m³
Q3: A classroom floor is 8 m long and 6 m wide. What is its area?
A) 14 m²
B) 48 m²
C) 28 m²
D) 88 m²
Q4: The most suitable unit to measure the capacity of a water tank is:
A) Millilitre
B) Litre
C) Kilogram
D) Centimetre
Q5: 1 hectare is equal to how many square metres?
A) 100 m²
B) 1000 m²
C) 10,000 m²
D) 1,00,000 m²
Q6: Which quantity is measured using a weighing machine in a shop?
A) Length
B) Weight
C) Capacity
D) Area
Q7: Which instrument is most suitable to measure the length of a pencil?
A) Metre tape
B) Ruler (scale)
C) Vernier calipers
D) Measuring wheel for roads
Q8: A farmer has a square field of side 50 m. Which unit is best to represent its area?
A) cm²
B) m²
C) mm²
D) litre
Q9: Which of the following pairs shows equivalent measures?
A) 100 cm = 1 m
B) 10 cm = 1 m
C) 1000 cm = 10 m
D) 1000 m = 1 cm
Q10: Area is a measure of:
A) How long an object is
B) How heavy an object is
C) How much surface a shape covers
D) How much water a container holds
Q11: Which unit is most appropriate to record the daily rainfall of a town?
A) Centimetres
B) Square metres
C) Litres
D) Cubic metres
Q12: A school timetable is mainly related to measurement of:
A) Length
B) Weight
C) Time
D) Capacity
Q13: Which of these is the largest unit of length?
A) Millimetre
B) Centimetre
C) Metre
D) Kilometre
Q14: 2500 g is equal to:
A) 0.25 kg
B) 2.5 kg
C) 25 kg
D) 250 kg
Q15: A rectangular park has an area of 600 m² and length 30 m. Its breadth is:
A) 10 m
B) 15 m
C) 20 m
D) 25 m
Q16: Which of the following is correctly matched?
A) Length – litre
B) Area – m³
C) Capacity – litre
D) Volume – m²
Q17: A wall clock shows 2:15 p.m. After 45 minutes, the time will be:
A) 2:45 p.m.
B) 3:00 p.m.
C) 3:15 p.m.
D) 3:30 p.m.
Q18: A square garden has area 81 m². Each side measures:
A) 7 m
B) 8 m
C) 9 m
D) 10 m
Q19: Which of the following best represents the capacity of a school water cooler?
A) 20 ml
B) 20 L
C) 20 cm³
D) 20 m³
Q20: Which statement about area and perimeter is TRUE?
A) Both are measured in m²
B) Both are measured in metres
C) Area in m² and perimeter in metres
D) Area in metres and perimeter in m²
Symmetry
Q21: A figure which can be folded into two equal halves along a line has:
A) Rotational symmetry only
B) Line symmetry
C) No symmetry
D) Both area and volume symmetry
Q22: Which of the following has exactly 1 line of symmetry?
A) Equilateral triangle
B) Square
C) Isosceles triangle
D) Circle
Q23: A regular hexagon has how many lines of symmetry?
A) 3
B) 4
C) 5
D) 6
Q24: Which of the following shapes does NOT have line symmetry?
A) Scalene triangle
B) Rectangle
C) Square
D) Circle
Q25: Rotational symmetry is present if a shape looks the same after rotation by:
A) Only 360°
B) Less than 360° but more than 0°
C) 0° only
D) More than 360°
Q26: The order of rotational symmetry of a square is:
A) 1
B) 2
C) 3
D) 4
Q27: A circle has:
A) No line symmetry
B) Exactly 2 lines of symmetry
C) Infinitely many lines of symmetry
D) Only rotational symmetry of order 1
Q28: Which of the following English letters has rotational symmetry of order 2?
A) A
B) H
C) P
D) S
Q29: A regular pentagon has rotational symmetry of order:
A) 2
B) 3
C) 4
D) 5
Q30: Which figure has both line symmetry and rotational symmetry?
A) Scalene triangle
B) Rectangle
C) General parallelogram
D) Trapezium (no equal sides)
Q31: Number of lines of symmetry in an equilateral triangle is:
A) 1
B) 2
C) 3
D) 4
Q32: Which of these shapes has rotational symmetry of order 1 only?
A) Square
B) Circle
C) Scalene triangle
D) Regular hexagon
Q33: A design on a rangoli mat looks the same after 90° rotation. Its order of rotational symmetry is at least:
A) 1
B) 2
C) 3
D) 4
Q34: Which letter has a horizontal line of symmetry?
A) B
B) C
C) E
D) H
Q35: A rectangle has how many lines of symmetry?
A) 0
B) 1
C) 2
D) 4
Q36: Which shape has more lines of symmetry than a rectangle but fewer than a circle?
A) Square
B) Scalene triangle
C) Trapezium
D) Parallelogram (general)
Q37: If a shape has rotational symmetry of order 3, it will look the same after rotation by:
A) 60°
B) 90°
C) 120°
D) 150°
Q38: Which of the following shapes has no rotational symmetry other than 360° and also no line symmetry?
A) Isosceles triangle
B) Kite
C) Scalene triangle
D) Rectangle
Q39: In a rangoli design, a pattern repeats every 60°. What is the order of rotational symmetry?
A) 3
B) 4
C) 5
D) 6
Q40: Which letter has vertical line symmetry but no horizontal line symmetry?
A) A
B) H
C) O
D) X
Perimeter
Q41: The perimeter of a square with side 12 cm is:
A) 24 cm
B) 36 cm
C) 48 cm
D) 144 cm
Q42: A rectangular garden is 20 m long and 15 m wide. What is its perimeter?
A) 35 m
B) 50 m
C) 60 m
D) 70 m
Q43: The perimeter of an equilateral triangle with side 9 cm is:
A) 18 cm
B) 27 cm
C) 36 cm
D) 45 cm
Q44: A circular track has radius 7 m. Find its circumference. (π = 22/7)
A) 22 m
B) 44 m
C) 88 m
D) 154 m
Q45: The perimeter of a rhombus with one side 6.5 cm is:
A) 13 cm
B) 19.5 cm
C) 26 cm
D) 39 cm
Q46: A rectangular playground has perimeter 120 m. If length is 40 m, breadth is:
A) 10 m
B) 20 m
C) 30 m
D) 40 m
Q47: Which of the following has the longest perimeter for same side length?
A) Square
B) Pentagon
C) Hexagon
D) Triangle
Q48: A wire of length 50 cm is bent into a square. The side length is:
A) 10 cm
B) 12.5 cm
C) 15 cm
D) 20 cm
Q49: The perimeter of a triangle with sides 8 cm, 10 cm and 12 cm is:
A) 20 cm
B) 28 cm
C) 30 cm
D) 36 cm
Q50: The perimeter of an irregular polygon is found by:
A) Using formula only
B) Adding all side lengths
C) Multiplying sides
D) Dividing area by length
Q51: If the side of a regular hexagon is 5 cm, its perimeter is:
A) 20 cm
B) 25 cm
C) 30 cm
D) 35 cm
Q52: A circular garden has diameter 14 m. Find its perimeter.
A) 22 m
B) 44 m
C) 88 m
D) 154 m
Q53: A regular pentagon has side 7 cm. Its perimeter is:
A) 28 cm
B) 35 cm
C) 42 cm
D) 49 cm
Q54: Which shape generally has the largest perimeter for same area?
A) Square
B) Circle
C) Elongated rectangle
D) Regular hexagon
Q55: A wire is bent into a triangle of perimeter 24 cm. Each side is:
A) 6 cm
B) 8 cm
C) 10 cm
D) 12 cm
Area of Plane Figures
Q56: Find the area of a triangle with base 10 cm and height 6 cm.
A) 20 cm²
B) 30 cm²
C) 40 cm²
D) 60 cm²
Q57: Area of a circle of radius 7 cm (π = 22/7) is:
A) 154 cm²
B) 308 cm²
C) 44 cm²
D) 77 cm²
Q58: The area of a square with side 9 cm is:
A) 18 cm²
B) 36 cm²
C) 81 cm²
D) 162 cm²
Knowledge Check – Mensuration (Q59 – Q90)
Area of Plane Figures
Q59: The area of a rectangle with length 12 cm and breadth 7 cm is:
A) 84 cm²
B) 24 cm²
C) 42 cm²
D) 96 cm²
Q60: The area of a parallelogram with base 15 cm and height 6 cm is:
A) 45 cm²
B) 60 cm²
C) 90 cm²
D) 120 cm²
Q61: The radius of a circular park is 14 m. Its area (π = 22/7) is:
A) 308 m²
B) 440 m²
C) 616 m²
D) 880 m²
Q62: A triangle has area 50 cm² and base 10 cm. Its height is:
A) 5 cm
B) 10 cm
C) 15 cm
D) 20 cm
Q63: A square and a rectangle have equal areas of 64 cm². The side of square is:
A) 4 cm
B) 6 cm
C) 8 cm
D) 16 cm
Q64: A farmer wants to fence a rectangular field of area 200 m². If length is 25 m, breadth is:
A) 6 m
B) 8 m
C) 10 m
D) 12 m
Q65: The area of a trapezium with parallel sides 10 cm and 20 cm and height 5 cm is:
A) 50 cm²
B) 75 cm²
C) 100 cm²
D) 150 cm²
Q66: A circular region has diameter 28 m. Its area is:
A) 308 m²
B) 440 m²
C) 616 m²
D) 1232 m²
Q67: Which shape has maximum area for a given perimeter?
A) Square
B) Rectangle
C) Circle
D) Triangle
Q68: A square park has area 225 m². Find its perimeter.
A) 30 m
B) 48 m
C) 60 m
D) 75 m
Surface Area and Volume of 3D Shapes
Q69: Find the volume of a cube with side 4 cm.
A) 16 cm³
B) 32 cm³
C) 64 cm³
D) 128 cm³
Q70: The volume of a cuboid measuring 5 cm × 4 cm × 3 cm is:
A) 20 cm³
B) 40 cm³
C) 60 cm³
D) 80 cm³
Q71: A cube has volume 125 cm³. Find the length of its side.
A) 3 cm
B) 4 cm
C) 5 cm
D) 6 cm
Q72: The curved surface area of a cylinder with radius 7 cm and height 10 cm is (π = 22/7):
A) 220 cm²
B) 308 cm²
C) 440 cm²
D) 880 cm²
Q73: The total surface area of a cube of side 6 cm is:
A) 144 cm²
B) 180 cm²
C) 216 cm²
D) 300 cm²
Q74: The volume of a cylinder with radius 7 cm and height 10 cm is:
A) 770 cm³
B) 994 cm³
C) 1540 cm³
D) 3080 cm³
Q75: Which of the following has the maximum volume?
A) Cube side 6 cm
B) Cuboid 5×6×6 cm
C) Cylinder r = 3 cm, h = 6 cm
D) Sphere r = 3 cm
Q76: The volume of a sphere of radius 7 cm is:
A) 1437 cm³
B) 2870 cm³
C) 847 cm³
D) 770 cm³
Q77: The curved surface area of a sphere of radius 7 cm is:
A) 308 cm²
B) 616 cm²
C) 1232 cm²
D) 1848 cm²
Q78: The volume of a cone with radius 7 cm and height 12 cm is:
A) 616 cm³
B) 770 cm³
C) 1232 cm³
D) 1848 cm³
Q79: The radius of a sphere with volume 1437 cm³ is:
A) 5 cm
B) 6 cm
C) 7 cm
D) 8 cm
Q80: A cuboid occupies a space of volume 960 cm³. If length = 10 cm and breadth = 8 cm, height is:
A) 8 cm
B) 10 cm
C) 12 cm
D) 15 cm
Volume and Capacity
Q81: How many litres are there in 2 m³?
A) 20 L
B) 200 L
C) 2000 L
D) 20,000 L
Q82: A tank holds 5000 litres of water. Its volume in cubic meters is:
A) 0.5 m³
B) 5 m³
C) 50 m³
D) 500 m³
Q83: 750 ml is equal to:
A) 0.075 L
B) 0.75 L
C) 7.5 L
D) 75 L
Q84: A jug contains 3.5 liters of water. How many milliliters is this?
A) 350 ml
B) 3500 ml
C) 35,000 ml
D) 3,500,000 ml
Q85: The capacity of a cylindrical water tank is 7 m³. This is equal to:
A) 70 L
B) 700 L
C) 7000 L
D) 70,000 L
Q86: Which unit is used to measure capacity of a large water tank?
A) Millilitre
B) Litre
C) Cubic metre
D) Cubic centimetre
Q87: 1 kilolitre is equal to:
A) 10 L
B) 100 L
C) 1000 L
D) 10,000 L
Q88: A water bottle holds 250 ml. How many such bottles make 2 litres?
A) 4
B) 6
C) 8
D) 10
Q89: A cuboid-shaped water tank holds 8000 litres. Its volume is:
A) 8 m³
B) 80 m³
C) 800 m³
D) 8000 m³
Q90: Which of these is a unit of volume?
A) cm
B) m²
C) m³
D) km
Combination of Solids
Q91: A solid is formed by placing a hemisphere on a cylinder of same radius. Total volume equals:
A) Vcylinder + Vsphere
B) Vcylinder + Vhemisphere
C) Vsphere – Vcylinder
D) Vhemisphere – Vcylinder
Q92: A sphere and a cube are melted to form a cuboid. If volume is conserved, which remains same?
A) Surface area
B) Height only
C) Volume
D) Shape
Q93: A cone and a hemisphere have same radius and height. Which has larger volume?
A) Cone
B) Hemisphere
C) Equal
D) Depends on radius
Q94: Two identical cubes of side 5 cm are melted into one sphere. What is conserved?
A) Density
B) Area
C) Volume
D) Radius
Q95: A cuboid and a cylinder have equal volumes. If cuboid volume is 500 cm³, volume of cylinder is:
A) 250 cm³
B) 400 cm³
C) 500 cm³
D) 1000 cm³
Symmetry
Q96: A square has how many lines of symmetry?
A) 1
B) 2
C) 3
D) 4
Q97: A regular triangle has rotational symmetry of order:
A) 1
B) 2
C) 3
D) 4
Q98: A circle has how many lines of symmetry?
A) 2
B) 4
C) 8
D) Infinite
Q99: Which shape has rotational symmetry of order 1?
A) Circle
B) Kite
C) Rectangle
D) Square
Q100: A rectangle has rotational symmetry of order:
A) 1
B) 2
C) 3
D) 4
Perimeter
Q101: The perimeter of a square of side 9 cm is:
A) 18 cm
B) 27 cm
C) 36 cm
D) 45 cm
Q102: A circle has radius 7 cm. Its circumference is:
A) 22 cm
B) 44 cm
C) 88 cm
D) 154 cm
Q103: A rectangular plot has length 15 m and breadth 10 m. Its perimeter is:
A) 25 m
B) 30 m
C) 40 m
D) 50 m
Q104: The perimeter of an equilateral triangle of side 6 cm is:
A) 12 cm
B) 18 cm
C) 24 cm
D) 36 cm
Q105: The perimeter of a regular pentagon if side is 8 cm is:
A) 32 cm
B) 40 cm
C) 48 cm
D) 56 cm
Properties of Special Quadrilaterals
Q106: In a parallelogram, opposite sides are:
A) Unequal
B) Parallel and equal
C) Adjacent only equal
D) Perpendicular
Q107: Diagonals of a rectangle are:
A) Perpendicular
B) Parallel
C) Equal
D) Unequal
Q108: The diagonals of a rhombus are:
A) Equal
B) Parallel
C) Perpendicular bisectors
D) Collinear
Q109: In a square, diagonals are:
A) Only equal
B) Only perpendicular
C) Equal and perpendicular
D) Unequal and non-parallel
Q110: According to the midpoint theorem, line joining midpoints of two sides of a triangle is:
A) Twice the third side
B) Equal to third side
C) Parallel and half of third side
D) Perpendicular to third side
Basic Measurements
Q111: 3 km is equal to:
A) 300 m
B) 3000 m
C) 30,000 m
D) 3 m
Q112: 5000 grams is equal to:
A) 0.5 kg
B) 5 kg
C) 50 kg
D) 500 kg
Q113: Which instrument is used to measure angles?
A) Ruler
B) Protractor
C) Compass
D) Scale
Q114: Time taken for Earth to complete one revolution around the Sun is:
A) 30 days
B) 180 days
C) 365 days
D) 720 days
Q115: The basic unit of length in SI system is:
A) cm
B) mm
C) m
D) km
Area of Plane Figures (Advanced)
Q116: The area of a circle of radius 21 cm is:
A) 693 cm²
B) 1320 cm²
C) 1386 cm²
D) 2772 cm²
Q117: A triangle with sides 13, 14, 15 has area:
A) 84 cm²
B) 90 cm²
C) 91 cm²
D) 100 cm²
Q118: Area of sector of circle with r = 14 cm and angle 90° is:
A) 77 cm²
B) 154 cm²
C) 308 cm²
D) 616 cm²
Q119: The area of a semicircle of radius 14 cm is:
A) 154 cm²
B) 308 cm²
C) 440 cm²
D) 616 cm²
Q120: The area of a rhombus with diagonals 10 cm and 12 cm is:
A) 40 cm²
B) 50 cm²
C) 60 cm²
D) 120 cm²
Surface Area and Volume (Advanced)
Q121: A cone and cylinder have same base and height. Ratio of volumes is:
A) 1:1
B) 1:2
C) 1:3
D) 2:3
Q122: The total surface area of a cylinder is given by:
A) πr²h
B) 2πrh
C) 2πr(r+h)
D) πr(r+h)
Q123: A sphere has volume 36π cm³. Its radius is:
A) 2 cm
B) 3 cm
C) 4 cm
D) 6 cm
Q124: A cuboid of volume 240 cm³ has base 8×5 cm. Height is:
A) 4 cm
B) 5 cm
C) 6 cm
D) 8 cm
Q125: If radius of a cylinder doubles, its volume becomes:
A) 2 times
B) 3 times
C) 4 times
D) 8 times
Conversion of Solids
Q126: A metal cube is melted into a sphere. What remains constant?
A) Radius
B) Curved surface area
C) Volume
D) Height
Q127: Two cones of same radius and height are melted into a cylinder. Volume of cylinder is:
A) Equal to one cone
B) 2/3 of cylinder
C) Equal to total of both cones
D) Half of total cones
Combination & Conversion of Solids
Q128: A sphere is melted and recast into 8 identical cubes. If radius of sphere is r, side of each cube is:
A) (πr³/6)^(1/3)
B) (4πr³/3)^(1/3)
C) (πr³)^(1/3)
D) (8πr³/3)^(1/3)
Q129: A cube of side 10 cm is melted to form a sphere. Its radius is approximately:
A) 4.5 cm
B) 6.2 cm
C) 7.5 cm
D) 8.3 cm
Volume & Capacity
Q130: 1 cubic metre is equal to:
A) 100 litres
B) 1000 litres
C) 10 litres
D) 10,000 litres
Q131: A tank of volume 2 m³ can hold how many litres of water?
A) 200 L
B) 500 L
C) 1000 L
D) 2000 L
Q132: The volume of a cube with side 0.5 m is:
A) 0.125 m³
B) 0.25 m³
C) 0.5 m³
D) 1.25 m³
Surface Area of Solids
Q133: Curved surface area of a cone is:
A) πr² + πrl
B) πrl
C) 2πrl
D) 2πr(r+l)
Q134: Total surface area of a cube of side 7 cm is:
A) 196 cm²
B) 245 cm²
C) 294 cm²
D) 392 cm²
Area of Plane Figures
Q135: Area of a trapezium with parallel sides 8 cm and 12 cm, height 5 cm is:
A) 40 cm²
B) 45 cm²
C) 50 cm²
D) 60 cm²
Q136: The area of a semicircle of radius 7 cm is:
A) 77 cm²
B) 154 cm²
C) 98 cm²
D) 49 cm²
Perimeter & Mensuration Logic
Q137: A square and a rectangle have equal perimeters. Square side is 10 cm. Sum of rectangle’s length and breadth is:
A) 10 cm
B) 15 cm
C) 20 cm
D) 25 cm
Symmetry & Shapes
Q138: Which shape has exactly two lines of symmetry?
A) Circle
B) Rectangle
C) Rhombus
D) Square
Surface Area & Volume (Reasoning)
Q139: If side of a cube is doubled, its volume becomes:
A) 2 times
B) 4 times
C) 6 times
D) 8 times
Q140: A cube has total surface area 150 cm². Its side is:
A) 5 cm
B) 6 cm
C) 4 cm
D) 7 cm
Mental Application & Practical Use
Q141: A rectangular playground of 50 m × 30 m needs fencing. Total wire needed is:
A) 80 m
B) 100 m
C) 150 m
D) 160 m
Final Advanced Application
Q142: A cone has radius 7 cm and slant height 25 cm. Its curved surface area is:
A) 385 cm²
B) 440 cm²
C) 550 cm²
D) 770 cm²
Q143: A sphere of radius 7 cm is melted into a cube. Side of cube is approximately:
A) 8 cm
B) 6.5 cm
C) 7.2 cm
D) 8.7 cm
Q144: A cylinder has radius 7 cm and height 10 cm. Its volume is:
A) 1540 cm³
B) 3080 cm³
C) 1760 cm³
D) 2200 cm³
Q145: A cube and a sphere have equal volumes. If side of cube is 6 cm, radius of sphere is approximately:
A) 3.5 cm
B) 4.1 cm
C) 5.2 cm
D) 6.3 cm
Q146: The perimeter of a regular hexagon with side 9 cm is:
A) 36 cm
B) 45 cm
C) 54 cm
D) 63 cm
Q147: The area of a parallelogram with base 12 cm and height 8 cm is:
A) 80 cm²
B) 96 cm²
C) 100 cm²
D) 120 cm²
Q148: How many faces does a triangular prism have?
A) 3
B) 4
C) 5
D) 6
Q149: The surface area of a sphere of radius 14 cm is:
A) 1232 cm²
B) 2464 cm²
C) 1848 cm²
D) 3520 cm²
Q150: A field is semicircular with radius 14 m. Its area is:
A) 154 m²
B) 308 m²
C) 440 m²
D) 616 m²
Q151: A cylindrical tank has diameter 14 m and height 5 m. What is its volume?
A) 490 m³
B) 770 m³
C) 1540 m³
D) 1750 m³
Q152: A square has diagonal 10√2 cm. Its area is:
A) 50 cm²
B) 100 cm²
C) 200 cm²
D) 150 cm²
Q153: Which solid has only one curved surface and no edges?
A) Cylinder
B) Cone
C) Sphere
D) Pyramid
Q154: The curved surface area of a cylinder is 440 cm². Height is 10 cm. Radius is:
A) 7 cm
B) 5 cm
C) 10 cm
D) 14 cm
Q155: Which figure has both line symmetry and rotational symmetry?
A) Rectangle
B) Scalene triangle
C) Square
D) Trapezium
Q156: A cone and cylinder have same base radius and height. The ratio of their volumes is:
A) 1 : 3
B) 3 : 1
C) 2 : 3
D) 1 : 2
Q157: A right triangle has base 6 cm and height 8 cm. Its perimeter is:
A) 14 cm
B) 20 cm
C) 18 cm
D) 24 cm
Q158: The radius of a sphere whose volume is 36π cm³ is:
A) 3 cm
B) 2 cm
C) 4 cm
D) 6 cm
Q159: A cube has side 4 cm. What is its space diagonal?
A) 4√3 cm
B) 6√2 cm
C) 8 cm
D) 5√3 cm
Q160: If the height of a cylinder is tripled and radius halved, the volume becomes:
A) Same
B) Half
C) 3/4 times
D) 2/3 times