i-Tutor Weekly Test-19

1 i-Tutor Weekly Test-19A Mathematics (Class IX) Phase-II Regd. Office : Aakash Tower, 8, Pusa Road, New Delhi-110005 Ph.: 011-47623456 M.M. : 25 i-Tutor Weekly Test-19 Time : 45 Min. Mathematics (Class IX) 1. Which of the following is the possible probability of an event? [1] (1) 5 3 (2) –0.3 (3) 4 5 (4) 1.7 2. The mean of first seven composite numbers is _______. [1] 3. Find the class-mark of the class 20 – 30. [1] 4. Find the volume of a sphere of radius 21 cm. [1] 5. Find the range of the data : 22, 15, 19, 18, 25, 7, 10, 5, 12, 14, 24, 17, 27, 13 [2] 6. The diameter of the moon is one sixth of the diameter of the earth. Find the ratio of their volumes (Assuming that both moon and earth are spherical in shape). [2] 7. A hollow sphere of external and internal diameters 16 cm and 8 cm respectively Find the volume and the outer surface area of hollow sphere. [3] 8. The marks obtained by 20 students in Geography out of total 100 marks are as follows : 5, 59, 28, 78, 11, 43, 39, 67, 15, 69, 47, 98, 19, 79, 18, 41, 52, 26, 62, 9. Construct a grouped frequency distribution with the class size 20. [3] 9. The radius of a sphere is increased by 10%, then by what percent its surface area increases? [3] 10. The volume of the two spheres are in the ratio 64 : 27. Find the difference of their surface areas, if the sum of their radii is 7. [4] 11. A sphere is melted and recast into a hemisphere. Show that the ratio of surface area of sphere to that of hemisphere is 3 4:3 4 . [4] Code A Date : 03-01-2021 Topics Covered : Mathematics : Surface Areas and Volumes (Sphere and Hemisphere, Section of a Sphere by a Plane, Surface Area and Volume of Sphere, Hemisphere and Spherical Shell, Problems on 3 d Shapes), Statistics (Excluding Histogram, Frequency Polygon, Mean, Median, Mode)

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Transcript of i-Tutor Weekly Test-19

i-Tutor Weekly Test-19A Mathematics (Class IX)

Phase-II

Regd. Office : Aakash Tower, 8, Pusa Road, New Delhi-110005 Ph.: 011-47623456

M.M. : 25 i-Tutor Weekly Test-19 Time : 45 Min. Mathematics (Class IX)

1. Which of the following is the possible probability of

an event? [1]

(1) 53

(2) –0.3

(3) 45

(4) 1.7

2. The mean of first seven composite numbers is _______. [1]

3. Find the class-mark of the class 20 – 30. [1] 4. Find the volume of a sphere of radius 21 cm. [1] 5. Find the range of the data :

22, 15, 19, 18, 25, 7, 10, 5, 12, 14, 24, 17, 27, 13 [2] 6. The diameter of the moon is one sixth of the

diameter of the earth. Find the ratio of their volumes (Assuming that both moon and earth are spherical in shape). [2]

7. A hollow sphere of external and internal diameters 16 cm and 8 cm respectively Find the volume and the outer surface area of hollow sphere. [3]

8. The marks obtained by 20 students in Geography out of total 100 marks are as follows :

5, 59, 28, 78, 11, 43, 39, 67, 15, 69, 47, 98, 19, 79, 18, 41, 52, 26, 62, 9.

Construct a grouped frequency distribution with the class size 20. [3]

9. The radius of a sphere is increased by 10%, then by what percent its surface area increases? [3]

10. The volume of the two spheres are in the ratio 64 : 27. Find the difference of their surface areas, if the sum of their radii is 7. [4]

11. A sphere is melted and recast into a hemisphere. Show that the ratio of surface area of sphere to

that of hemisphere is 34 : 3 4 . [4]

Code A Date : 03-01-2021

Topics Covered :

Mathematics : Surface Areas and Volumes (Sphere and Hemisphere, Section of a Sphere by a Plane, Surface Area and Volume of Sphere, Hemisphere and Spherical Shell, Problems on 3 d Shapes), Statistics (Excluding Histogram, Frequency Polygon, Mean, Median, Mode)