Test Variation

NAME__________________________________

PEARL ACADEMY Anjali Apartment Near Sapna Hall Makarpura road Vadodara-390 009 Cell:-9825283326 9426765811

VARIATION TEST – l Total marks : 50 Time allotted : 1.5 hour ___________________________________________________________________________________

Q-1) [2 0]

Solve

the

following

1. If X ∝Y , when X = 3, Y = 6, find Y when X = 4 2. If Y ∝X , when X = 16, Y = 2, find X when Y = 3 1 3. If X ∝Y , when X = 2, Y = 2, find X when Y = 2 4. If X ∝Y , when X = 4, Y = 2, find Y when X = 18 5. X ∝

Y , when X = 3 Y =81, find Y when X = 4

6. If X ∝Y2 , when X = 6, Y = 2, find X when Y = 6 and also find Y when X=24

7. If X ∝

1 , when X = 3, Y = 30, find Y when X = 2 and also find X when Y

Y=10 8. X2 ∝

Q-2) [3 0]

1

∴ Y ∝ _________ Y X ∝ Y2 ∴ Y ∝ _________

9. X2 ∝ 10.

1 ∴ Y ∝ _________ Y4

Solve

the

following

1. The area of a circle varies as the square of its radius. The area of a circle of radius 7 cm is 154 sq cm. Find the area of the circle of radius 14 cm. 2. The volume of a cube is in direct variation to the cube of its length. If the length is 1 cm, the volume is 1 cc. Find the volume, when the length is 2 cm and find the length if the volume is 64 cc.

3. If 10 persons complete a job work in 8 days, then how many days will 16 persons need to complete it? 4. The volume of a cylinder is in direct variation to the square of the radius of its base and to its weight. When the radius is 7 cm and height is 12 cm, then the volume is 1848 cube cm. Find the volume when the radius is 3.5 cm and weight is 10 cm. 5. The speed of a vehicle is partly constant and partly varies according the square of the petrol consumed. When the speed is 40 units, the petrol consumed is 4 units and when the speed is 58 units, the petrol consumed is 5 units. Then find the speed if the petrol consumed is 7 units. 6. The period of oscillation of a pendulum varies as the square root of its length. The period of oscillation of a pendulum of length 36 cm is 1.2 seconds. Find the period of oscillation of a pendulum of length 100 cm and find the length of the pendulum if the period of oscillation is 1 second. 7. The monthly salary of an employee partially varies directly as the number of years of service put in by him and is partially constant. After 5 years of service, his salary is Rs. 4325 and after 8 years of services, the salary is Rs. 4700. Find the number of years of services put in by him, when his salary is Rs. 5700. 8. The area of a triangle varies directly as its base when the altitude is constant and varies directly as its altitude when the base is constant. For a triangle, the base is 6 cm, the altitude is 5 cm and the area is 15 sq. cm. Find the area of a triangle if its base is 18 cm and its altitude is 16 cm. 9. The expense of a dinner function is partly constant and partly varies directly as the number of diners. The expense for 300 diners is Rs. 10,000 and the expense for 400 diners is Rs. 13,000. If the expense is Rs. 11, 500 find the number of diners. If there are 550 diners, find the expense. 10. Curved surface area of a cone jointly varies as the radius of its base and the slant height. The curved surface area of a cone with radius 5 units and slant height 7 units is 110 sq units. Find the radius of a cone whose slant height is 70 units and curved area is 2640 sq. units. ******* ************** BEST OF L UCK