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Question 1

Suppose 6kg of salt contains crystals. How many crystals are there is

(i) 7kg of salt (ii) 3.5 kg of salt?

Solution:

Weight of salt

6

7

3.5

Crystals

6x107

x

y

 

(i) or or crystals

(ii) .
 


Solution:

Time

5

3

Number of bottles

680

x

 

Number of bottles = 408 bottles.

Solution:

Length of bacteria

3

x

Enlargement of bacteria

60000

10000

 

 

Length of bacteria = 0.5 cm.

Question 4

A bus travels 40kms in 30minutes. If the speed of the bus remains same, how far can it travel in 3 hrs?


Solution:

Distance (km)              40         

Time (min)                  30          180

.

Question 6

If a box of pens is given to 25 children, they will get 2 pens each. How many would each get, if the number of children is reduced by 10?

 


Solution:

Each will get 5 pens.
 

Question 7

A batch of tablets were packed in 10 boxes with 6 tablets in each box. If the same batch is packed using 12 tablets in each box. How many boxes would be needed?


Solution:

Number of boxes

10

x

Number of tablets in each box

6

12

5 boxes are needed.

Question 8

In a toy company, it requires 36 machines to produce a car toys in 54 days. How many machines would be required to produce the same number of car toys in 81 days?

 


Solution:

Number of machines

36

x

Number of cars produced (days)

54

81

24 machines are required.
 

Question 9

Two persons could fit the AC unit in a house in 2 days one person fell ill before the work started, how long would the job take now?


Solution:

Number of persons

2

1

Number of days

2

x

.


Solution:

Number of periods

7

9

Duration (min)

45

x

 

or 35 minutes.

Each period will have 35 minutes.


Solution:

Number of students

200

150

Water consumption (l)

50

?

 

or

66.6liters of water is required per day.

Number of stones

25

x

Weight of stones (in grams)

50

4500


The number of stones and their weigh are directly proportion.

= 2250 stones

2250 stones will weigh 4500 kilograms.
 


Solution:

Parts of blue pigment

1

4

9

12

Parts of base

5

-

-

-

More parts of blue pigment the more would be the parts of base. This is a direct proportion

i. or

ii. or

iii. or .


Solution:

Part of blue pigment

1

x

Part of base

45

900

 

20 parts of blue pigment is required to mix with the base.

Question 15

Nandika has a road map with a scale 1cm representing 25km. She drivers on a road for 100km. What would be her distance covered in the map?


Solution:

Nandika covered 4cm distance in the map.

Solution:

number of top scorers

1

2

4

6

8

10

Prize for each scorers

2,00,000

1,00,000

y1

y2

y3

y4

 

Since the number of scorers increases, the prize of the amount decreases, it is inverse proportion



Question 17

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


Solution:

Number of spokes

3

6

9

12

15

Angle between a pair of consecutive spokes

90

60

x1

x2

x3



Question 18

The cost of 5 litres of a milk is Rs55. Tabulate the cost of 2, 4, 10 and litres of milk


Solution:

Number of litres

2

4

5

10

Cost (in Rs)

y1

y2

55

y3



Question 20

5 pipes are required to fill a petrol tank in 2 hour 20 minutes. How long will it take if only 4 pipes of the same type are used?

 

Solution:
 
Number of pies 5 4
Time (in min) 140 x


175 minutes=

2 hrs 91 min =

Number of hours required = 2 hrs 91 min.





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