Direct and Inverse Proportions
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A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of base that need to be added.
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) |
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Perimeter (P) |
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L/P |
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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.
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