AP 8th Maths Mock Test 2021 for Chapter – 9 “Area of Plane Figures” Online Practice Test

1. If the length of a rectangle is 20 cm and its area is 280  cm^{2} then its breadth is ______
2. If the length of a rectangle is 12 cm and its area is 60  cm^{2} then its breadth is ______
3. If the length of a rectangle is 16 m and its area is 144  m^{2} then its breadth is ______
4. If the length of a rectangle is 17 km and its area is 187  km^{2} then its breadth is ______
5. If the length of a rectangle is 18 m and its area is 360  m^{2} then its breadth is ______
6. If the length of a rectangle is 40 km and its area is 1280  km^{2} then its breadth is ______
7. If the length of a rectangle is 90 cm and its breadth is 70 cm then its area is ______
8. Find the area of a rhombus whose diagonals have lengths 10 cm and 8.2 cm is ______
9. Find the area of a rhombus whose diagonals have lengths 10 cm and 11 cm is ______
10. Find one of the diagonal of a rhombus whose one diagonal is 16 cm and area is 128  cm^{2}
11. Find one of the diagonal of a rhombus whose one diagonal is 6 cm and area is 54  cm^{2}
12. Find one of the diagonal of a rhombus whose one diagonal is 3 m and area is 15  m^{2}
13. The circumference of a circle is 22 cm. Then its area is ____
14. The circumference of a circle is 22 cm. Then its area is ____
15. The circumference of a circle is 44 cm. Then its area is ____
16. The circumference of a circle is 22 cm. Then its area is ____
17. What is the circumference of a circle of radius 10.5 cm is ____
18. What is the circumference of a circle of radius 14 m is ____
19. What is the circumference of a circle of radius 21 cm is ____
20. What is the circumference of a circle of radius 17.5 cm is ____
21. If the length of one of each sides of a right isosceles triangle is 4 cm, then its area is _____  cm^{2} .
22. If the length of one of each sides of a right isosceles triangle is 6 cm, then its area is _____  cm^{2} .
23. If the length of one of each sides of a right isosceles triangle is 8 cm, then its area is _____  cm^{2} .
24. If the length of one of each sides of a right isosceles triangle is 10 cm, then its area is _____  cm^{2} .
25. The perimeter of a semicircular plate of radius 25 cm is ____
26. Two circles touch each other externally. The sum of their areas is  \pi cm^{2} and the distance between their centers is 15 cm. Then the radii of the circles are _____
27. The area of a circle circumscribing an equilateral triangle of side 15 cm is ____
28. The area of a circle inscribed in an equilateral triangle of side 18 cm is ____
29. The sector angle is 90^{0} and radius of the sector is 28 cm then its area is ____
30. The sector angle is 45^{0} and radius of the sector is 28 cm then its area is ____
31. AC is a diagonal of a parallelogram ABCD. If area of  \bigtriangleup ABC is 30 sq.cm then area of ABCD is _____
32. If the inner and outer radii of a ring are 10 cm and 8 cm respectively, then its area is _____  cm^{2} .
33. Area of  \bigtriangleup ABC is ____
34. Area of  \bigtriangleup ABC is ____
35. Area of  \bigtriangleup ABC is ____
36. Area of  \bigtriangleup ABC is ____
37. Area of  \bigtriangleup ABC is ____
38. Area of  \bigtriangleup ABC is ____
39. If the length of parallel sides are 9 cm and 7 cm respectively and the perpendicular distance between them is 6 cm then the area of the trapezium is ______
40. Which of the following are true statements ?
41. Assertion : The perimeter of a semi-circle is r( \pi +2)
Reason : The perimeter of a circle is 2\pi r and that of semi circle is half of the 2\pi r
Which of the following is correct ?
42. In a rectangle, the difference between the sum of length and breadth and the diagonal is half of the length. What is the ratio of length and breadth ?
43. Pick out the formula for area of parallelogram
44. Pick out the formula for area of rhombus
45. Pick out the formula for area of triangle
46. Area of a ring or a circular path = ______
47. Which of the following is a formula to find area of sector ?
48. If 'l' is length of arc and 'r' is radius of sector then area of sector is _____
49. Find 'x' in the following figure if area is 60  cm^{2} ?
50. Find 'x' in the following figure if area is 70  cm^{2} ?
51. Find 'x' in the following figure if area is 150  cm^{2} ?
52. Find 'x' in the following figure if area is 75  cm^{2} ?
53. Find 'x' in the following figure if area is 90  cm^{2} ?
54. Find the area of rhombus if diagonals are 4 cm and 3 cm ?
55. Find the area of rhombus if diagonals are 6 cm and 3 cm ?
56. Find the area of rhombus if diagonals are 4 cm and 6 cm ?
57. Find the area of rhombus if diagonals are 4 cm and 8 cm ?
58. ABCD is a parallelogram whose area is 100 sq.cm. P is any point inside the parallelogram.
Area of  \bigtriangleup APB + Area of  \bigtriangleup CPD = _______
59. ABCD is a parallelogram whose area is 100 sq.cm. P is any point inside the parallelogram.
Area of  \bigtriangleup APD + Area of  \bigtriangleup BPC = _______
60. ABCD is a parallelogram whose area is 140 sq.cm. Q is any point inside the parallelogram.
Area of  \bigtriangleup AQB + Area of  \bigtriangleup CQD = _______
61. ABCD is a parallelogram whose area is 140 sq.cm. Q is any point inside the parallelogram.
Area of  \bigtriangleup AQD + Area of  \bigtriangleup BQC = _______
62. ABCD is a parallelogram whose area is 240 sq.cm. O is any point inside the parallelogram.
Area of  \bigtriangleup AOD + Area of  \bigtriangleup BOC = _______
63. ABCD is a parallelogram whose area is 240 sq.cm. O is any point inside the parallelogram.
Area of  \bigtriangleup AOB + Area of  \bigtriangleup COD = _______
64. The diameter of a cycle wheel is 1.4 m. Then the distance covered by the cycle on making 300 revolutions by its wheels is ______
65. The cost of leveling a circular field at ₹ 20 per square meter is ₹ 6280. The area of the field is
66. The cost of leveling a circular field at ₹ 20 per square meter is ₹ 6280. The radius of the field is
67. The cost of leveling a circular field at ₹ 15 per square meter is ₹ 9240. The area of the field is
68. The cost of leveling a circular field at ₹ 15 per square meter is ₹ 9240. The radius of the field is
69. The cost of leveling a circular field at ₹ 22 per square meter is ₹ 3388. The area of the field is
70. The cost of leveling a circular field at ₹ 22 per square meter is ₹ 3388. The radius of the field is
71. The cost of leveling a circular field at ₹ 22 per square meter is ₹ 3388. The radius of the field is
72. The cost of leveling a circular field at ₹ 7 per square meter is ₹ 2425.5. The radius of the field is
73. The cost of leveling a circular field at ₹ 7 per square meter is ₹ 2425.5. The area of the field is
74. The measurements of Sekhar's plot are given in the following figure. What is the area of the plot ?
75. The measurements of Raja's plot are given in the following figure. What is the area of the plot ?
76. The measurements of Raghu's plot are given in the following figure. What is the area of the plot ?
77. What is the area of the trapezium in the given figure ?
78. What is the area of the quadrilateral in the given figure ?
79. The area of the parallelogram in the given figure is _____
80. In the given figure, two circles with centres A and B touch each other at the point P. If AP = 14 cm, AB = 3.5 cm then the area of shaded region is ______

81. In the given figure, ABCD is a square of side 14 cm and A , B , C , D are centres of circular arcs, each of radius 7 cm. What is the area the shaded region.
82. Area of the quarter ABCPA is ______
83. Area of the  \bigtriangleup ABC is ______
84. Area of the shaded region is ____
85. Area of semi-circle ACQA is _______
86. Area of the shaded region in the figure is _____ cm^{2} .
87. Find the area of the shaded region in the given figure.
88. Find the area of the shaded region in the given figure, the radii of bigger and smaller quadrants being 16 cm and 12 cm respectively.
89. In the given figure, ABCD is a rectangle inscribed in the circle. If two adjacent sides of the rectangle 8 cm and 6 cm, then the area of the shaded region is ______
90. In the figure, OACB is a quadrant of the circle. The radius OA = 3.5 cm, OD = 2 cm. Then the area of shaded region is _______
91. A horse is placed for grazing inside a rectangular field 70 m by 52 m and is tethered to one corner by a rope 21 m long. How much area can it graze ?
92. A horse is placed for grazing inside a rectangular field 70 m by 52 m and is tethered to one corner by a rope 21 m long. What is the radius of sector?
93. From a piece of cardboard, in the shape of a trapezium ABCD, and AB \parallel CD and  \angle BCD = 90^{0} ,quarter circle is removed.Find the total area of the cardboard ?
94. From a piece of cardboard, in the shape of a trapezium ABCD, and AB \parallel CD and  \angle BCD = 90^{0} ,quarter circle is removed.Find the area of the sector ?
95. From a piece of cardboard, in the shape of a trapezium ABCD, and AB \parallel CD and  \angle BCD = 90^{0} ,quarter circle is removed.Find the area of the remaining cardboard ?
96. From a piece of cardboard, in the shape of a trapezium ABCD, and AB \parallel CD and  \angle BCD = 90^{0} ,quarter circle is removed.Find the length of the side DC ?
97. Four equal circles of radius 7 cm are described about the four corners of a square , so that each circle touches two of the others.What is the side of a square?
98. Four equal circles of radius 7 cm are described about the four corners of a square , so that each circle touches two of the others.What is the area of a square?
99. Four equal circles of radius 7 cm are described about the four corners of a square , so that each circle touches two of the others.What is the area of 4 sectors  ?
100. Four equal circles of radius 7 cm are described about the four corners of a square , so that each circle touches two of the others.What is the area of shaded region ?

 

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