ICSE Worksheet for chapter-9 Ratio Proportion class 9

ICSE Worksheet for chapter-9 Ratio Proportion class 9

Worksheet For class 9

Find ICSE Worksheet for chapter-9 Ratio Proportion class 9

CLASS-9

BOARD: ICSE

Mathematic Worksheet - 9

TOPIC: Ratio Proportion

For other ICSE Worksheet for class 9 Mathematic check out main page of Physics Wallah.

SUMMARY:

• Compounded Ratio: The compounded ratio of the ratios (a:b), (c:d) and (e:f) is (ace:bdf).
• Duplicate Ratio: The duplicate ratio of (a:b) is (a ² :b ² )
• Sub-Duplicate Ratio: The sub-duplicate ratio of (a: b) is ( a ^(1/3) ∶ b ^(1/3) )
• Triplicate Ratio: The Triplicate ratio of (a:b) is (a ³ :b ³ )
• Sub-Triplicate Ratio: The sub-triplicate ratio of (a: b) is ( )
• Componendo: If a/b=c/dthen, the componendo is (a+b)/b=(c+d)/d.
• Dividendo: If a/b=c/dthen, the dividendo is (a-b)/b=(c-d)/d.
• Componendo - Dividendo: If a/b=c/dthen, the componendo - dividendo is (a+b)/(a-b)=(c+d)/(c-d).

EXERCISE:

1. Find out:
   1. the fourth proportional to 4, 9, 12;
   2. the third proportional to 16 and 36;
   3. the mean proportional between 0.08 and 0.18
2. If x: y = 3:4, find (4x+5y):(5x-2y)
3. Divide Rs. 1162 among A, B, C in the ratio 35:28:20
4. A bag contains 50p, 25p and 10p coins in the ratio 5:9:4, amounting to Rs.206. Find the no. of coins of each type.
5. If 1/5:1/x=1/x:1/125, then the value of x is:
   1. 15
   2. 20
   3. 25
   4. 35
6. If x:y=5:2 then (8x+9y):(8x+2y)
   1. 22:29
   2. 26:61
   3. 29:22
   4. 61:26
7. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
   1. 2:5
   2. 3:5
   3. 4:5
   4. 6:7
8. The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
   1. 8:9
   2. 17:18
   3. 21:22
   4. cannot be determined
9. What is the ratio whose terms differ by 40 and the measure of which is ?
   1. 16:56
   2. 14:56
   3. 15:56
   4. 16:72

Solutions: to worksheet-9 Topic-Ratio Proportion

1. 1. 27
   2. 81
   3. 0.12
2. 32/7
3. A=Rs.490; B= Rs. 392; C= Rs.280
4. 50p=200; 25p=360; 10p=160
5. (c)
6. (c)
7. (c)
8. (c)
9. (a)