Page 304 - Math_Genius_V1.0_C7_Flipbook

D:\Surender Prajapati\CBSE_ICSE_Book_New\CBSE\Grade-7\Math_Genius-7\Open_File\13_Chapter\13_Chapter
\ 15-Nov-2024 Surender Prajapati Proof-5 Reader’s Sign _______________________ Date __________

Chapter assessment
A. Choose the correct option.

1. The distance between two longer sides of a parallelogram is 12 cm and the distance between its shorter
sides is 18 cm. If the length of its longer side is 24 cm, then the length of its shorter side is
(a) 16 cm (b) 9 cm (c) 36 cm (d) 18 cm
2. If the circumference of a circle is 10 p cm, then its area is
2
(a) 5 p cm 2 (b) 10 p cm (c) 25 p cm 2 (d) 50 p cm 2
3. The areas of two circles are in the ratio 4 : 9. Their circumferences are in the ratio
(a) 2 : 3 (b) 4 : 9 (c) 16 : 81 (d) 3 : 2

4. Circumference of a circle is always
(a) more than three times of its diameter (b) three times of its diameter
(c) less than three times of its diameter (d) three times of its radius
5. If the radius of a circle is tripled, the area becomes
(a) 9 times (b) 3 times (c) 6 times (d) 30 times
6. The area of a semicircle of radius 4r is
(a) 8 pr 2 (b) 4 pr 2 (c) 12 pr 2 (d) 2 pr 2
7. In the adjoining figure, area of the parallelogram ABCD is not equal to
B C

F

A E D
(a) BE × AD (b) DE × DC (c) BF × DC (d) BE × BC
B. Assertion and Reason Type Questions.
In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Choose
the correct option as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion
(A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): Circumference of a circle of radius r is 2pr.

Reason (R): 1760 m is the circumference of circle whose radius is 2.8 m.
2. Assertion (A): If the radius of circle is 12 m then its area is 452.57 sq. m.
Reason (R): Area covered within the boundary of circle = p × r , where r is the radius of circle.
2
3. Assertion (A): 216 cm is the area of the parallelogram if the breadth and height of the parallelogram
2
are 12 cm and 18 cm, respectively.
Reason (R): Area of a parallelogram = base × height
4. Assertion (A): The ratio of the circumference and the diameter of a circle is always constant.
Reason (R): The circumference of a circle having radius r is given by C = 2pr.

302