# AP 7th Maths Mock test 2023 For Chapter – 13 : ” Area and Perimeter ” Online Practice test

1. In the area of a circle is 2464 m2 , find its diameter
2. A circular grass lawn of radius 3 m has a path of width 7 m around it on the outside. What is the area of the path ?
3. The circumference of a circle is 44 m , what is its area ?
4. Two sides of a right angled triangle are 100 cm and 8.6 cm , find its area
5. Find the altitude of triangle whose base is 24 m and area 672 cm2
6. Find the area of triangle whose base is 14 cm and height is 650 cm
7. If the perimeter of a semicircle is 144 cm , what is its area ?
8. If each side of a square is 1 m which of the following is its area ?
9. The sides of a triangle are 3 cm , 4 cm and 5 cm respectively then the perimeter is
10. If the side of an equilateral triangle is 6 cm then its perimeter is
11. If the side of the right angled isosceles triangle is 2 m then its area is
12. The diagonals of a rhombus are 8 cm and 12 cm then its area is
13. If the base of an isosceles right triangle is 30 cm then its area is
14. If the radius of a circle is 14 m then the area of semi circle is
15. If the diameter of a circle is 52 cm then its radius is .....
16. If the radius of a circle is 12 m then the circumference of a circle is
17. Match the following
1. Circumference of circle             ( ) a. bh
2. Area of circle                               ( ) b. lb
3. Area of triangle                           ( ) c. 2r
4. Area of rectangle                        ( ) d. r2
18. The area of rhombus is 60 cm2 and one of its diagonals is 8 cm find the other diagonal
19. If the area of a rectangle is 144 m2 then its length and breadth are
20. The perimeter of a square is 1 meter then its side is
21. The product of length of two diagonals of a rhombus is 90 cm2 then its area is
22. Match the following

23. ABCD is a rectangle . The ratio of the ratios of ABCD and AED is
24. If the outer radius of a circular path is R and its width is W , then its area in sq.units is
25. If the radii of two circles are in the ratio 9 : 16 then the ratio of their areas is
26. If the perimeter of a circle is 16 times to the perimeter of square then the ratio of radius to the side is
27. Statement - I : If r is a radius of a circle then 2r is the circumference of the circle
Statement - II : If the side of the square is 14 cm then the ratio of the square and circle perimeter is 14 : 11
28.
• Statement - I : If the inner and outer radii of a circular rings are 3 .5 m and 7 m then area of the ring is 118.5 m2
• Statement II : Area of the ring whose inner and outer radii are r , R is (R + r)(R - r) sq.units
29. To find the path of this diagram which mathematical concept is used n this concept ?
30. Base and height of a parallelogram are 6 cm and 13 cm respectively . Its area is
31. Area of the parallelogram is 1470 cm2 . Its base is 49 cm then the corresponding height is
32. If the inner and outer radii of circular rings are 4 m and 8 m then the area of the ring is .................... m2
33. In ABC , A = 900 . AB = 5 cm , AC = 12 cm , BC = 13 cm then area of ABC is ........................... cm2
34. The diagonals of a rhombus are 12 cm and 16 cm then its area is ......................s q.cm
35. The circumference of a circle whose radius is 4.2 cm
36. If the circumference of a circle is 264 cm then its radius is
37. A road roller makes 200 rotations in covering 2200 m then he radius of the road roller is
38. A , B , C are 3 circles with these centres having 4 cm radii . They are arranged as shown in figure . Perimeter of the shaded region is
39. In a rhombus ABCD , A = 602 , AB = 6 cm then the length of the diagonal BD in cm is
40. In the adjacent figure side of a square is 7 cm . A circle is inscribed in the square . The perimeter of the circle is
41. In ABCD rhombus the diagonals AC , BD intersect at O . Length of AO is 2.5 cm , length of BO is 3 cm then its area is ................ sq.cm
42. One litre = ........................ cubic centimeters
43. If the length of a rectangle is (2x + y) cm and breadth is (3x - 2y) cm , then its area in cm2
44. What is the formula for area of rectangle ?
45. What are dimensions required to get the perimeter of rectangle ?
46. length = 20 cm , breadth = 14 cm  , area = 280 cm2 . perimeter = 68 cm
length = 15 cm , breadth = 10 cm  , area = 150 cm2 . perimeter = 50 cm
What information this data gives us ?
47. What is length of QS ?
48. Find the base of triangle whose area is 220 cm2 and height is 11 cm
49. About which area this table tells us
50. What is the value of 'a' ?
51. What is the value of 'x' ?
52. What is the formula for area of a rhombus ?
53. 1 m2 = ............ cm2
54. Find the area of square park whose perimeter is 200m
55. If the perimeter of  rectangle park is 100 m and its length is 35 m then find its breadth
56. Find the area in hectare of a field whose length is 240 m and breadth is 110 m
57. If the circumference is 30 cm more than the diameter of the circle , find the radius of the circle
58. Area of a semi circle is 77 cm2 . Its perimeter is equal to
59. Area of the parallelogram is 1470 cm2 . Its base is 30 cm then the corresponding height is
60. Find the area of road
61. Find the area of shaded region
62. What is the length of DL if AB = 13 cm and area of parallelogram is 156 cm2 ?
63. What is the area of quadrilateral ?
64. What is the difference of circumference of the circles shown ?
65. The product of length of two diagonals of a rhombus is 90 cm2 then its area is
66. ABCD is a rectangle . The ratio of the areas of ABCD and AED is
67. The value of is
68. The area of triangle is equal to the
69. The area of parallelogram is equal to the
70. Find the perimeter of square whose side is 5 cm
71. The height of a parallelogram is one third of its base . If the area of the parallelogram is 48 cm2 , find its height
72. The height of a parallelogram is one third of its base . If the area of the parallelogram is 48 cm2 , find its base
73. In a parallelogram the base and height are in the ratio of 5 : 2 . If the area of the parallelogram is 490 cm2 , find its base
74. A square and a parallelogram have the same area . If a side of the square is 30 m and the height of the parallelogram is 10 m , find the base of the parallelogram
75. Base = 5 cm , Height = 8 cm then the area of triangle is
76. Base = 6 cm , Height = 4 cm then the area of triangle is
77. Base = 5.4 cm , Height = 7.5 cm then the area of triangle is
78. In a triangle the height is doubled the base and the area is 900 cm2 . Find the length of the base
79. In a triangle the height is doubled the base and the area is 100 cm2 . Find the length of the height
80. The area of triangle is equal to the area of rectangle whose length and breadth are 20 cm and 15 cm respectively . Calculate the height of the triangle if  its base measures 30 cm
81. The base and height of the triangle are int he ratio 1 : 2 and its area is 64 cm2 . Find its base
82. If length of diagonal of a rhombus whose area 500 sq.cm is 50 cm , then find length of second diagonal
83. The floor of building consists of 3000 tiles which are rhombus shaped. The diagonals of each of the tiles are 45 cm and 30 cm . Find the total cost of polished floor , if cost per m2 is ₹25
84. Find the circumference of a circle whose radius is 14 cm
85. In a parallelogram the base and height are in the ratio of 5 : 2 . If the area of the parallelogram is 490 cm2 , find its height
86. What is the circumference of circle whose radius is 70
87. What is the circumference of circle whose radius is 15.4
88. What is the circumference of circle whose diameter is 35
89. What is the circumference of circle whose diameter is 77
90. The base and height of the triangle are int he ratio 1 : 2 and its area is 64 cm2 . Find its height
91. Find the radius of circle whose circumference is 220 cm
92. Taking = 3.14 , find circumference of circle whose radius is 20 cm
93. Taking = , find radius of circle whose circumference is 264 cm
94. If the circumference of circle 44 cm , find its diameter
95. If the circumference of circle 66 cm , find its diameter
96. How many times will a wheel of radius 350 cm be rotated to travel 880 m ?
97. The ratio of diameters of two circles is 4 : 5 then the ratio of their circumference is
98. A road roller makes 300 rotations in covering 3300 m then the radius of the roller
99. The minute hand of circular clock is 15 cm . How far does the tip of the minute hand move in 1 hour ?
100. A wire is bent in the form of circle with radius 28 cm . It is straightened and made into a square . What is the length of side of square ?