Observe the following tables and find, if x and y are directly proportional

x	6	10	14	18	22	26	30
y	4	8	12	16	20	24	28

5

(a)

Principal = Rs.1000,Rate = 8% per annum. Fill in the following table and find which type of interest (simple or compound) changes in direct proportion with time period.

Time period	1 year	2 year	3 year
Simple interest (in Rs)
Compound interest (in Rs)

5

(a)

Suppose 2 kg of sugar contains 9 X 10⁶ crystals. How many sugar crystals are there in 5 kg of sugar?

5

(a)

Rashmi has a roadmap with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

5

(a)

A girl 1.2 m tall casts a shadow 1.1 m at that height. When a building casts a shadow 6.6 m long. Determine the height of the building?

5

(a)

Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:

Number of spokes	4	6	8	10	12
Angle between a pair of consecutive spokes	900	600	....	.....	....

(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
(iii) How many spokes would be needed, if the angle between of a pair of consecutive spokes is 40°?

5

(a)

A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow 8 m long at the same time. The lengths of the shadows are directly proportional to their heights. Find the height of the tank.

5

(a)

A mixture of paint is prepared by mixing 1 part of green pigments with 6 parts of the base. In the following table, find the parts of base needed to be added.

Parts of green pigment	1	4	5	6
Parts of base	6	x1	x2	x3

5

(a)

A machine fills 540 bottles in six hours. How many bottles will it fill in five hours?

5

(a)

Jagmeet has a road map with a scale of 1 cm = 20 km. He drives on a road for 72 km. What would be his distance covered in the map?

5

(a)