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Direct And Inverse Proportions

Question
CBSEENMA8002044

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28m, how long is the model ship?

Solution

Solution: Let the required length of the model of the ship = x cm We have:

Length of the ship

Height of the mast

28

12

X

9

Some More Questions From Direct and Inverse Proportions Chapter

In question 2 above, if 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 mL of base?

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

Number of bottles filled

Number of hours

840

6

X

5

A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28m, how long is the model ship?

Suppose 2 kg of sugar contains 9 x 106 crystals. How many sugar crystals are there in (i) 5 kg of sugar? and (ii) 1.2 kg of sugar?

Rashmi has a road map 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?

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time (i) the length of the shadow cast by another pole 10 m 50 cm high and (ii) the height of a pole which casts a shadow 5 m long.

A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

On a squared paper, draw five squares of different sides. Write the following information in a tabular form.

 

Square 1

Square 2

Square 3

Square 4

Square 5

Length of a side (L)

         

Perimeter (P)

         

L/P
Area (A)

         

L/A

         

Find whether the length of a side is in direct proportion to:

(a) The perimeter of the square.

(b) The area of the square.

Question: Observe the following tables and find which pair of variables (here x and y) are in inverse proportion.

(i)

X

50

40

30

20

y

5

6

7

8

(ii)

X

100

200

300

400

y

60

30

20

15

(iii)

X

90

60

45

30

20

5

y

10

15

20

25

30

35