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WorksheetsD3(RAH) MASTER THE DAY
Total questions: 107
Worksheet time: 2hrs 47mins
Name
Class
Date
1.
What is the sum of internal angles of a pentagon?
a)
540°
b)
450°
c)
720°
d)
360°
2.
What is the perimeter of a square with side 18 cm?
a)
36 cm
b)
90 cm
c)
72 cm
d)
81 cm
3.
How many sides does a hexagon have?
a)
8
b)
5
c)
7
d)
6
4.
What is the area of a circle with radius 7 cm?
a)
49 cm²
b)
44 cm²
c)
154 cm²
d)
22 cm²
5.
Which triangle has one angle equal to 90°?
a)
Right-angled triangle
b)
Equilateral triangle
c)
Obtuse triangle
d)
Acute triangle
6.
Which figure has opposite sides parallel and equal but angles are not 90°?
a)
Rectangle
b)
Rhombus
c)
Parallelogram
d)
Trapezium
7.
What is the formula for the area of a sector in radians?
a)
r²θ/2
b)
πrθ/2
c)
rθ²
d)
πr²θ
8.
What is the formula for the arc length in radians?
a)
rθ/2
b)
rθ
c)
πr/θ
d)
2πr
9.
Which solid has two parallel circular faces?
a)
Sphere
b)
Cone
c)
Cube
d)
Cylinder
10.
What is the volume of a right circular cone?
a)
1/3 πr²h
b)
2/3 πr²h
c)
πr²h
d)
4/3 πr³
11.
What is the volume of a hemisphere?
a)
πr²h
b)
4/3 πr²
c)
2/3 πr³
d)
4/3 πr³
12.
What is the total surface area of a sphere?
a)
3πr²
b)
4πr²
c)
2πr²
d)
πr²
13.
What is the area of a trapezium with parallel sides 10 cm and 6 cm, and height 5 cm?
a)
40 cm²
b)
50 cm²
c)
60 cm²
d)
80 cm²
14.
What is the perimeter of a rectangle with length 25 m and width 15 m?
a)
70 m
b)
100 m
c)
60 m
d)
80 m
15.
What is the formula for the volume of a frustum of a cone?
a)
πr²h
b)
4/3 πr³
c)
1/3 πh(R² + r² + Rr)
d)
πr²/2
16.
What is the area of a semicircle of diameter 14 cm?
a)
154 cm²
b)
77 cm²
c)
100 cm²
d)
49 cm²
17.
Which figure has all four sides equal and all four angles equal to 90°?
a)
Rhombus
b)
Square
c)
Rectangle
d)
Trapezium
18.
What is the volume of a cube with side 5 cm?
a)
100 cm³
b)
150 cm³
c)
75 cm³
d)
125 cm³
19.
What is the area of a sector of a circle of radius 10 cm and central angle 90°?
a)
5π cm²
b)
50π cm²
c)
25π cm²
d)
10π cm²
20.
What is the sum of internal angles of a hexagon?
a)
600°
b)
480°
c)
720°
d)
540°
21.
Which shape has two pairs of parallel sides and all angles are 90°?
a)
Rhombus
b)
Square
c)
Trapezium
d)
None
22.
What is the area of a square with side 12 cm?
a)
96 cm²
b)
120 cm²
c)
144 cm²
d)
100 cm²
23.
What is the formula for the volume of a right circular cylinder?
a)
πr³
b)
πr²h/2
c)
πr²h
d)
2πr²h
24.
Which figure has only one pair of parallel sides?
a)
Rhombus
b)
Rectangle
c)
Trapezium
d)
Parallelogram
25.
What is the total surface area of a cube with side 8 cm?
a)
324 cm²
b)
384 cm²
c)
256 cm²
d)
512 cm²
26.
How many sides does a nonagon have?
a)
9
b)
8
c)
6
d)
7
27.
What is the formula for the area of a trapezium?
a)
1/2 × (a+b) × h
b)
a × b × h
c)
a + b + h
d)
2πr
28.
Which solid has a circular base and a curved surface that meets at a point?
a)
Cone
b)
Cylinder
c)
Sphere
d)
Cube
29.
What is the formula for the total surface area of a cone?
a)
πr² + πrl
b)
πr²h
c)
4πr²
d)
2πr²
30.
What is the volume of a cuboid with length 4 cm, breadth 3 cm, and height 5 cm?
a)
80 cm³
b)
50 cm³
c)
72 cm³
d)
60 cm³
31.
Which figure has opposite sides equal but no angles equal to 90°?
a)
Rectangle
b)
Trapezium
c)
Rhomboid
d)
Square
32.
What is the perimeter of an equilateral triangle with side 15 cm?
a)
90 cm
b)
45 cm
c)
30 cm
d)
60 cm
33.
Which polygon has all internal angles equal and all sides equal?
a)
Decagon
b)
Regular Polygon
c)
Pentagon
d)
Irregular Polygon
34.
What is the area of a circle with diameter 14 cm?
a)
400 cm²
b)
100 cm²
c)
200 cm²
d)
154 cm²
35.
What is the volume of a hemisphere?
a)
πr³
b)
(2/3)πr³
c)
(1/3)πr³
d)
(4/3)πr³
36.
What is the formula for the total surface area of a frustum of a cone?
a)
π(R+r)l + π(R² + r²)
b)
πr²h
c)
πr² + π(R+r)l
d)
π(R+r)l
37.
What is the volume of a pyramid with base area 36 cm² and height 9 cm?
a)
96 cm³
b)
108 cm³
c)
120 cm³
d)
75 cm³
38.
Assertion (A): A parallelogram has opposite sides equal and parallel.
Reason (R): All angles of a parallelogram are right angles.
a)
A is false but R is true
b)
A is true but R is false
c)
Both A and R are true but R is not the correct explanation of A
d)
Both A and R are true and R is the correct explanation of A
39.
What is the formula for the area of a square?
a)
a²
b)
a × b
c)
a + b
d)
4a
40.
Which shape has all sides equal and all angles 90°?
a)
Trapezium
b)
Rectangle
c)
Square
d)
Rhombus
41.
What is the volume of a cube with side 10 cm?
a)
1000 cm³
b)
500 cm³
c)
1200 cm³
d)
800 cm³
42.
What is the formula for the volume of a cylinder?
a)
πr²h/2
b)
2πr²h
c)
πr²h
d)
πr³
43.
What is the total surface area of a sphere?
a)
πd²
b)
2πr²
c)
4πr²
d)
πr²
44.
Which figure has no sides and no angles?
a)
Cylinder
b)
Cube
c)
Sphere
d)
Circle
45.
What is the sum of internal angles of a triangle?
a)
360°
b)
180°
c)
90°
d)
270°
46.
What is the area of a rectangle with length 20 m and width 10 m?
a)
100 m²
b)
200 m²
c)
150 m²
d)
50 m²
47.
Which polygon has eight sides?
a)
Nonagon
b)
Hexagon
c)
Octagon
d)
Pentagon
48.
What is the formula for the perimeter of a square?
a)
a²
b)
a + b + c + d
c)
4a
d)
2a
49.
What is the formula for the surface area of a cube?
a)
2a²
b)
3a²
c)
4a²
d)
6a²
50.
Which figure has only one curved surface and no edges?
a)
Cube
b)
Sphere
c)
Cone
d)
Cylinder
51.
What is the formula for the area of a circle?
a)
πr³
b)
2πr²
c)
πr²
d)
πd²/4
52.
What is the volume of a pyramid with base area 64 cm² and height 12 cm?
a)
192 cm³
b)
256 cm³
c)
320 cm³
d)
128 cm³
53.
What is the area of a semicircle of radius 7 cm?
a)
49π/2
b)
36π/8
c)
7π/4
d)
7π
54.
What is the sum of internal angles of a heptagon?
a)
1080°
b)
900°
c)
1260°
d)
1440°
55.
What is the area of a triangle with base 8 cm and height 5 cm?
a)
18 cm²
b)
16 cm²
c)
20 cm²
d)
22 cm²
56.
What is the formula for the circumference of a circle?
a)
πr²
b)
πr
c)
2πr
d)
4πr
57.
What is the volume of a cube with side 7 cm?
a)
343 cm³
b)
300 cm³
c)
512 cm³
d)
210 cm³
58.
What is the formula for the surface area of a cylinder?
a)
2πr(r+h)
b)
πr²
c)
2πr²
d)
πr²h
59.
What is the formula for the volume of a right circular cone?
a)
πr²h
b)
(4/3)πr³
c)
(1/2)πr²h
d)
(1/3)πr²h
60.
What is the perimeter of a square with side 25 cm?
a)
80 cm
b)
100 cm
c)
120 cm
d)
60 cm
61.
What is the sum of internal angles of a nonagon?
a)
1260°
b)
1620°
c)
1800°
d)
1440°
62.
What is the formula for the area of a semicircle?
a)
πr²/4
b)
πr³/2
c)
πr²/2
d)
(1/2)πr²
63.
What is the volume of a cuboid with length 6 cm, breadth 4 cm, and height 3 cm?
a)
48 cm³
b)
50 cm³
c)
54 cm³
d)
72 cm³
64.
What is the surface area of a cube with side 9 cm?
a)
216 cm²
b)
324 cm²
c)
648 cm²
d)
486 cm²
65.
Which polygon has twelve sides?
a)
Octagon
b)
Dodecagon
c)
Heptagon
d)
Nonagon
66.
What is the area of a rectangle with length 30 m and width 15 m?
a)
200 m²
b)
300 m²
c)
450 m²
d)
600 m²
67.
What is the volume of a sphere with radius 6 cm?
a)
345
b)
440π
c)
345π
d)
288π
68.
What is the formula for the perimeter of a rectangle?
a)
a + b + c
b)
2a
c)
2(l + b)
d)
l + b + h
69.
What is the formula for the volume of a frustum of a cone?
a)
4/3 πr³
b)
(1/3)πh(R² + r² + Rr)
c)
πr²h
d)
π(R+r)l
70.
What is the formula for the total surface area of a hemisphere?
a)
3πr²
b)
2πr²
c)
πr²
d)
πr³
71.
What is the sum of internal angles of a decagon?
a)
1440°
b)
1620°
c)
1800°
d)
1980°
72.
What is the perimeter of a square with side 12 cm?
a)
36 cm
b)
60 cm
c)
48 cm
d)
40 cm
73.
What is the area of a circle with radius 9 cm?
a)
282.74 cm²
b)
300 cm²
c)
350 cm²
d)
254.34 cm²
74.
Which figure has three sides and three angles?
a)
Square
b)
Rectangle
c)
Triangle
d)
Pentagon
75.
What is the volume of a cube with side 8 cm?
a)
512 cm³
b)
600 cm³
c)
800 cm³
d)
728 cm³
76.
What is the volume of a sphere with radius 5 cm?
a)
(2/3)π
b)
(500/3)π
c)
(5/3)π
d)
(230/3)π
77.
Which polygon has four sides?
a)
Quadrilateral
b)
Heptagon
c)
Nonagon
d)
Triangle
78.
What is the formula for the volume of a pyramid?
a)
(1/3) × base area × height
b)
πr²h
c)
πr³
d)
πr²
79.
Which figure has only one face, one edge, and one vertex?
a)
Cylinder
b)
Cube
c)
Sphere
d)
Cone
80.
Assertion (A): The volume of a cone is one-third the volume of a cylinder with the same base and height.
Reason (R): Cone has a pointed top reducing the capacity to one-third compared to the cylinder.
a)
Both A and R are true but R is not the correct explanation of A
b)
Both A and R are true and R is the correct explanation of A
c)
A is false but R is true
d)
A is true but R is false
81.
Statement 1: All squares are rectangles.
Statement 2: All rectangles are squares.
a)
Only Statement 1 is correct
b)
Only Statement 1 is correct
c)
Only Statement 2 is correct
d)
Both statements are incorrect
82.
Statement 1: A circle has no vertices.
Statement 2: A polygon has vertices and sides.
a)
Both statements are incorrect
b)
Only Statement 1 is correct
c)
Only Statement 2 is correct
d)
Both statements are correct
83.
What is the perimeter of a square with side 20 cm?
a)
80 cm
b)
60 cm
c)
100 cm
d)
50 cm
84.
What is the area of a square with side 14 cm?
a)
225 cm²
b)
144 cm²
c)
256 cm²
d)
196 cm²
85.
What is the volume of a cube with side 6 cm?
a)
100 cm³
b)
216 cm³
c)
300 cm³
d)
150 cm³
86.
What is the perimeter of a rectangle with length 30 m and width 10 m?
a)
120 m
b)
100 m
c)
90 m
d)
80 m
87.
What is the area of a semicircle with radius 10 cm?
a)
157 cm²
b)
220 cm²
c)
180 cm²
d)
200 cm²
88.
What is the volume of a right circular cone with radius 7 cm and height 15 cm?
a)
550 cm³
b)
600 cm³
c)
500 cm³
d)
770 cm³
89.
What is the perimeter of a square with side 8 cm?
a)
28 cm
b)
40 cm
c)
36 cm
d)
32 cm
90.
What is the sum of internal angles of a hexagon?
a)
600°
b)
720°
c)
480°
d)
600°
91.
Which polygon has five sides?
a)
Nonagon
b)
Hexagon
c)
Pentagon
d)
Octagon
92.
What is the surface area of a cube with side 4 cm?
a)
64 cm²
b)
120 cm²
c)
96 cm²
d)
80 cm²
93.
Match the following:
A) Square
B) Circle
C) Triangle
D) Cube
a)
A-6 faces; B-3 sides; C-4 equal sides; D-Round shape
b)
A-Round shape; B-4 equal sides; C-6 faces; D-3 sides
c)
A-4 equal sides; B-Round shape; C-3 sides; D-6 faces
d)
A-3 sides; B-4 equal sides; C-6 faces; D-Round shape
94.
Fill in the blanks: The sum of internal angles of an octagon is ______ degrees.
a)
1080
b)
1080
c)
1260
d)
1440
95.
What is the volume of a cuboid with length 5 cm, breadth 4 cm, and height 3 cm?
a)
72 cm³
b)
50 cm³
c)
60 cm³
d)
45 cm³
96.
What is the total surface area of a cylinder with radius 7 cm and height 10 cm?
a)
620 cm²
b)
600 cm²
c)
748 cm²
d)
700 cm²
97.
What is the area of a circle with radius 5 cm?
a)
90 cm²
b)
110 cm²
c)
78.54 cm²
d)
100 cm²
98.
What is the volume of a cuboid with dimensions 7 cm × 5 cm × 3 cm?
a)
125 cm³
b)
115 cm³
c)
105 cm³
d)
98 cm³
99.
What is the perimeter of a rectangle with length 15 m and width 10 m?
a)
70 m
b)
50 m
c)
60 m
d)
80 m
100.
What is the volume of a sphere with radius 8 cm?
a)
345cm3
b)
2144cm3
c)
2800cm3
d)
1234cm3
101.
What is the total surface area of a cylinder with radius 4 cm and height 12 cm?
a)
402.12 cm²
b)
350 cm²
c)
500 cm²
d)
600 cm²
102.
What is the area of a square with side 16 cm?
a)
196 cm²
b)
256 cm²
c)
324 cm²
d)
400 cm²
103.
What is the perimeter of a square with side 18 cm?
a)
66 cm
b)
72 cm
c)
82 cm
d)
64 cm
104.
Which figure has three sides and three angles?
a)
Square
b)
Rhombus
c)
Pentagon
d)
Triangle
105.
What is the volume of a right circular cone with radius 6 cm and height 10 cm?
a)
500 cm³
b)
480 cm³
c)
376.99 cm³
d)
452 cm³
106.
What is the area of a circle with radius 12 cm?
a)
500 cm²
b)
452.16 cm²
c)
600 cm²
d)
452 cm²
107.
What is the volume of a hemisphere with radius 9 cm?
a)
1900cm3
b)
123cm3
c)
1527cm3
d)
2398cm3
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