AP 9th Maths Mock Test 2021 For Chapter – 11 : “Areas” Online Practice Test

1. Match the following
  1. Area of trapezium        ( ) a. Half the product of base and height
  2. Area of parallelogram ( )b. Half the product of sum of parallel sides and the distance between them
  3. Area of triangle             ( )c. Product of base and height
2. Area of Rhombus ABCD is 45 cm2 . One diagonal BD = 9cm then the other diagonal AC = ..................cm
3. Match the following
  1. Area of rhombus         ( )a. Square of the side
  2. Area of square             ( )b. Product of length and breadth
  3. Area of rectangle         ( )c. Half the product of its diagonal
4. A diagonal of a parallelogram divides it into ............... of equal area
5. If a triangle and parallelogram are on the same base and in between same parallel lines then the area of triangle is .......... the area of parallelogram
6. The area of a rhombus is 20 sq.cm . If one of the diagonal is 4 cm , the other diagonal is ........ cm
7. The area of a triangle whose base is 7.5 cm and height is 4.8 cm is ............ sq.cm
8. Triangles with equal area and having any side of one equal to any side of the other have equal corresponding ............
9. ABCD is a parallelogram . E is a point on BA such that BE = 2EA and F is a point on DC such that DF = 2FC then ar.(AECF) =
10. The area of rhombus , whose diagonals are 16.5 and 24.6 is
11. The area of trapezium , whose parallel sides are 19 cm and 16 cm and the distance between these sides is 8 cm , is
12. Find the area of rhombus one side is 20 cm and one diagonal is 24 cm
13. If the length of the diagonal AC of a square ABCD is 5.2 cm , then area of a square ABCD is ....... sq.cm
14. Area of square is \frac{1}{2} hectare . The diagonal of the square is
15. One side of a rhombus is 10 cms and one of its diagonal is 12 cms . The area of the rhombus is .......... sq.cm
16. The perimeter of rhombus is 52 m while its longer diagonal is 24 m its other diagonal is ...........
17. In a rhombus , whose area is 144 sq.cm . One of its diagonals is twice as long as the other diagonal . The lengths of its diagonals are ......... cm
18. One side of parallelogram is 14 cm . Its distance from the opposite side is 16 cm . Then the area of parallelogram is ................... cm2
19. A parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long then its area is ...... sq.cm
20. The two parallel sides of a trapezium are 1m and 2m respectively . The perpendicular distance between them is 6m . The area of the trapezium is ......... sq.m
21. In \bigtriangleupABC , side BC = 10 cm and height AD = 4.4 cm . If AC = 11 cm , then altitude BE =
22. ABCD is a parallelogram , AE perpendicular to DC and CF perpendicular to AD . If AB = 16 cm , AE = 8 cm , CF = 10 cm then AD =
23. ABCD is parallelogram and 'O' is the point of intersection of its diagonals AC and BD . If the area of triangle AOD = 10 cm2 the area of parallelogram ABCD is ............. cm2
24. Area and perimeter of a square are equal then its diagonal is .......... units
25. The are of a trapezium is 148 cm2 . The distance between its parallel sides is 8 cm . If one of the parallel sides is 14 cm the other parallel side is ............. cm
26. Parallelogram on same base and in between same parallel lines are ............
27. If the area of two triangles are equal then they are
28. In a parallelogram PQRS , PQ = 12 cm and the altitude corresponding to PQ is 8 cm . If PS = 10 cm then the altitude corresponding to PS =
29. The side of a square be increased by 4 cm then the area increased by 60 sq.cm . The side of the square is ............
30. Statement : A quadrilateral PQRS is such that diagonal QS divides its area in two equal parts , then QS bisects PR
Reason R : A.A.S criterion of congruency is used
31.
  • Statement : If the diagonal of a rhombus are 6 cm and 10 cm then the area of rhombus is given by 60 cm2
  • Reason R : Area of rhombus is \frac{1}{2} \times product of lengths of diagonals
32. Statement : In a parallelogram ABCD , BD is one of the diagonals then ar.(\triangleABD) = r.(\triangleBCD)
Reason : If a planar region formed by a figure 'R' is made up of two non - overlapping planar regions formed by figures R1 and R2 then r.(R) = ar.(R1) + ar.(R2)
33.
  • statement : One side of a parallelogram is 14 cm and the height drawn to that side is 6 cm then its area is 42 cm2
  • Reason : Area of a parallelogram is \frac{1}{2} \times base \times height
34. Which of the following figures have equal area ?
35. 1 sq.m = .......... sq.cm
36. If R1 and R2 are two polygons regions such that R1 is a part of R2 , then
37. If a planar region formed by a figure R is made up two non - overlapping planar regions formed by figures R1 and R2 then
38. Two triangles having the same base and equal area lie between the same ............
39. ar.(\trianglePBQ) with respect to A , R , C is
40. ar.(\trianglePRQ) is equal to ......... with respect to (\triangleARC)
41. If ar.(\triangleRQS) = k .ar.(\triangleABC) then k equals to
42. ABCD is a trapezium in which AB \parallel DC and DC=40 cm , AB=60 cm. If X,Y are the midpoints of AD and BC respectively, then XY =
43. ABCD is a trapezium in which AB \parallel DC and DC=40 cm , AB=60 cm. If X,Y are the midpoints of AD and BC respectively, then DCYX is a
44. ABCD is a trapezium in which AB \parallel DC and DC=40 cm , AB=60 cm. If X,Y are the midpoints of AD and BC respectively, then ar(Trapezium DCYX) = k \times (Trapezium XYBA) then value of 'k' is
45. In the following figure ,ABCD and AEFD are two parallelograms, PE =

46. In the following figure ,ABCD and AEFD are two parallelograms,
\frac{ar( \bigtriangleup APE)}{ar( \bigtriangleup PFA)} =
47. In the following figure ,ABCD and AEFD are two parallelograms,
ar( \bigtriangleup APE) =
48. The length of the diagonal of a rhombus is 80% of the length of the other diagonal. Then the area of the rhombus is how many times the square of the length of the longer diagonal ?
49. The area of a trapezium is 384 sq.cm. If its parallel sides are in ratio 3:5 and the perpendicular distance between them be 12 cm, the smaller of parallel sides is
50. The cross section of a canal is a trapezium in shape. If the canal is 10 m wide at the top and 6 m wide at the bottom and the area of cross section is 640 sq.m. The length of canal is ___ m.
51. ABCD is a trapezium which AB // CD and AB = 2 CD . if its diagonals intersect each other at O , then ratio of area of rectangles AOB and COD is ..........
52. Two parallelograms are on equal base and between the same parallel lines then the ratio of their areas is
53. A triangle and a rhombus are on the same base and between the same parallel lines then the ratio of the areas of triangle and rhombus is ..............
54. The ratio of the areas of two squares is 4 : 9 . The ratio of their perimeters in the same order is ................
55. Side of a square is 60 m . Length of a rectangular field is 80 m . The perimeters of the square and rectangular field are equal , then which has larger area ?
56. In the triangle AOB , \angleAOB = 900 , AC = BC ; OA = 10 cm and OC = 13 cm . Then the area of \triangleAOB = ...........cm2
57. In the adjoining figure , ABCD is a parallelogram . Then its area is equal to
58. In the given figure , the angles BAD and ADC are right angles and AX//BC . If AB = BC = 5 cm and DC = 8 cm , then the area of ABCX is .........
59. In the figure PQ //SR , ar.\triangle PTS =
60. In the figure , ABCD is a parallelogram with area 36 cm2 then the area of \triangleADE + \triangleBCE =
61. If 1 cm represents 5 m , what would an area of 6 sq.cm represents ?
62. Rajini says 1 sq.m =
63. Which of the following are related to congruent figures ?
64. Area of rectangle = ..............
65. Area of parallelogram =
66. Area of triangle =
67. Triangles on the same base and between the same parallels are .................. in area
68. Triangles on the same base and having equal areas lie between the
69. If a parallelogram and a triangle are on the same base and between the same parallels , then area of the triangle is equal to
70. Parallelorams on the same base and having equal areas lie between the
71. Parallelograms on the same base and between same parallels are ............ in area
72. In \triangleABC , \angleABC = 900 , AD = DC , AB = 12 cm and BC = 6.5 cm . Find the area of \triangleADB
73. Find the area of quadrilateral PQRS in which \angleQPS = \angleSQR = 900 . PQ = 12 cm , PS = 9 cm , QR = 8 cm and SR = 17 cm(PQRS has two parts)
74. Find the area of trapezium ABCD
75. ABCD is a parallelogram . The diagonals AC and BD intersect each other at 'O' . then
76. The area of parallelogram ABCD is 36 cm2 . Calculate the height of parallelogram ABEF if AB = 4.2 cm
77. Find AD , here AE perpendicular to DC and CF perpendicular to AD
78. Area of parallelogram =
79. Area of trapezium =
80. The two diagonals of parallelogram divides it into ............... triangles
81. Circle has ............. diagonals
82. The following has not 2 diagonals
83. Rhombus has ............ triangles
84. 3 sq.m = .......... sq.cm
85. Which of the following figures have no equal area ?
86. Find the area of triangle if its base =5 and height = 10
87. Area of parallelogram if base is 20 and height is 5
88. Area of rhombus PQRS is 100 cm2 One diagonal is 10 cm and other diagonal is
89. The area of triangle whose base is 9 and height is 10 =
90. Area of rhombus , whose diagonals are 32 and 31 is
91. Area of rhombus , whose diagonals are 16 and 9 is
92. The area of rhombus whose whose diagonals are 6 and 9 is
93. Which of the following are quadrilaterals ?
94. Area of ............... is equal to Half the product of its diagonals
95. ................ is half the sum of the parallel sides multiplied by the distance between them
96. In \triangleAPM , \angleAPM = 900 , AD = DM , AP = 10 cm and PM = 5 cm then find area of \triangleADP
97. The area of parallelogram ABCD is 250 cm2 . Calculate the height of parallelogram ABEF if AB 5 cm
98. The area of parallelogram ABCD is 50 cm2 . Calculate the height of parallelogram ABEF if AB 2 cm
99. Find AD , here AE perpendicular to DC and CF perpendicular to AD
100. If a planar region formed by a figure , 'X' is made up of two non-overlapping planar regions formed by figures P and Q then ar(X) =

 

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