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9th Standard Algebra Practice Set 4.2 Lecture 2 Ratio and Proportion | Class 9th Maths 1
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This Video explains Practice Set 4.2 Class 9 of Chapter 4 Ratio and Proportion of Standard 9 for Geometry Maharashtra State Board.
#Std9 #Maharashtra #SSC #Class9
Following questions of Maharashtra State Board Practice Set 4.2 Class 9 of Chapter 4 Ratio and Proportion of Standard 9 have been explained in the video:
Question 1.Using the property 𝑎/𝑏 = 𝑎𝑘/𝑏𝑘, fill in the blanks by substituting proper numbers in the following.
(i) 5/7 = …./28 = 35/… = ..../3.5
(ii) 9/14 = 4.5/ ….= …./42 = …./3.5
Question 2.
Find the following ratios.
i. The ratio of radius to circumference of the circle.
ii. The ratio of circumference of circle with radius r to its area.
iii. The ratio of diagonal of a square to its side, if the length of side is 7 cm.
iv. The lengths of sides of a rectangle are 5 cm and 3.5 cm.
Find the ratio of numbers denoting its perimeter to area.
Question 3.
Compare the following
(i) √5/3, 3/√7
(ii) 3√5/5√7, √63/√125
(iii) 5/18, 17/121
(iv) √80/√48, √45/√27
(v) 9.2/5.1, 3.4/7.1
Question 4.
Solve.
(i) ABCD is a parallelogram. The ratio of ∠A and ∠B of this parallelogram is 5 : 4. Find the measure of ∠B.
(ii) The ratio of present ages of Albert and Salim is 5 : 9. Five years hence ratio of their ages will be 3 : 5. Find their present ages.
(iii) The ratio of length and breadth of a rectangle is 3 : 1, and its perimeter is 36 cm. Find the length and breadth of the rectangle.
(iv) The ratio of two numbers is 31 : 23 and their sum is 216. Find these numbers.
(v) If the product of two numbers is 360 and their ratio is 10 : 9, then find the numbers.
Question 5.
If a : b = 3 : 1 and b : c = 5 : 1, then find the value of
1. (a³/15b²c)³
2. a²/ 7bc
Ratio and Proportion 9th Class Practice Set 4.1 Question 6.
If √(0.04×0.4×𝑎) = 0.4×0.04× √ 𝑏, then find the ratio 𝑎/𝑏
9th Algebra Practice Set 4.2 Question 7.
(x + 3) : (x + 11) = (x – 2) : (x + 1), then find the value of x.
#Std9 #Maharashtra #SSC #Class9
Following questions of Maharashtra State Board Practice Set 4.2 Class 9 of Chapter 4 Ratio and Proportion of Standard 9 have been explained in the video:
Question 1.Using the property 𝑎/𝑏 = 𝑎𝑘/𝑏𝑘, fill in the blanks by substituting proper numbers in the following.
(i) 5/7 = …./28 = 35/… = ..../3.5
(ii) 9/14 = 4.5/ ….= …./42 = …./3.5
Question 2.
Find the following ratios.
i. The ratio of radius to circumference of the circle.
ii. The ratio of circumference of circle with radius r to its area.
iii. The ratio of diagonal of a square to its side, if the length of side is 7 cm.
iv. The lengths of sides of a rectangle are 5 cm and 3.5 cm.
Find the ratio of numbers denoting its perimeter to area.
Question 3.
Compare the following
(i) √5/3, 3/√7
(ii) 3√5/5√7, √63/√125
(iii) 5/18, 17/121
(iv) √80/√48, √45/√27
(v) 9.2/5.1, 3.4/7.1
Question 4.
Solve.
(i) ABCD is a parallelogram. The ratio of ∠A and ∠B of this parallelogram is 5 : 4. Find the measure of ∠B.
(ii) The ratio of present ages of Albert and Salim is 5 : 9. Five years hence ratio of their ages will be 3 : 5. Find their present ages.
(iii) The ratio of length and breadth of a rectangle is 3 : 1, and its perimeter is 36 cm. Find the length and breadth of the rectangle.
(iv) The ratio of two numbers is 31 : 23 and their sum is 216. Find these numbers.
(v) If the product of two numbers is 360 and their ratio is 10 : 9, then find the numbers.
Question 5.
If a : b = 3 : 1 and b : c = 5 : 1, then find the value of
1. (a³/15b²c)³
2. a²/ 7bc
Ratio and Proportion 9th Class Practice Set 4.1 Question 6.
If √(0.04×0.4×𝑎) = 0.4×0.04× √ 𝑏, then find the ratio 𝑎/𝑏
9th Algebra Practice Set 4.2 Question 7.
(x + 3) : (x + 11) = (x – 2) : (x + 1), then find the value of x.
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