SCERT Assam Class 6 Mathematics Chapter 13 – “Ratio and Proportion” Summary & Solutions
SCERT Assam Class 6 Mathematics (English Medium) Chapter 13 – “Ratio and Proportion” solutions are available at Ospin Academy. We provide SCERT-based textbook solutions, multiple-choice questions (MCQs), and a complete chapter summary to help students in their exam preparation.
📖 Chapter Overview:
This chapter introduces **ratios and proportions**, their properties, and how they are used in real-life applications.
- Understanding Ratios: Definition, notation, and comparison of ratios.
- Understanding Proportion: Direct and inverse proportion.
- Real-Life Applications: Ratios in maps, cooking, and financial calculations.
📌 Exercises Covered in Lesson 13:
- Exercise 13A: Understanding and simplifying ratios.
- Exercise 13B: Solving proportion-based problems.
📝 Ospin Academy Resources:
- Complete Solutions: SCERT Assam Class 6 Mathematics Chapter 13 answers.
- MCQs & Additional Questions: Exam-focused multiple-choice questions.
- Clear Explanations: Concepts explained in simple terms.
- Quick Revision Notes: Concise notes for last-minute preparation.
For SCERT Assam Class 6 Mathematics (English Medium) Chapter 13 – “Ratio and Proportion” solutions, visit Ospin Academy.
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Class 6 Mathematics
Chapter – 13 (Ospin Academy)
Ratio and Proportion
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Exercise – 13 (A) |
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Q. 1. Find the ratios (where possible, if not give reasons)
(i) 55 cm to 11 m
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(ii) 750 gram to 35 gram
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(iii) 750 gram to 1.5 kilogram
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(iv) 2 to 10 paise
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(v) 5 kilogram to 5 meter.
Ans: Ratio is not possible, Because, they are not the same kinds of units.
(vi) ₹200 to 200 people.
Ans: Ratio is not possible, Because, they are not the same kinds of units.
Q. 2. Are the following terms in proportion:
(a) 2, 6, 9, 27
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(b) 8. 6, 18, 16
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(c) 3, 8, 15, 40
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Q. 3. State whether right or wrong-
(a) 12 : 18 : : 28 : 12
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(b) 99 kg: 45 kg = ₹ 44 : ₹20
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(c) 7.5 litre: 15 litre = 5 kg : 10 kg
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(d) 45 km : 60 km = 12 hours : 15 hours.
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Q. 4. Express in lowest form (wherever possible)
(i) 500: 50
Ans: 500/50 = 10/1 = 10 : 1
(ii) 5: 17
Ans: 5: 17 is in lowest form
(iii) 819: 126
Ans: 819 / 126 = 13 / 2 = 13 : 2
Q. 5. Find three equivalent ratio to the ratios given below.
(i) 500: 50
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(ii) 5 :17
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Q. 6. Present age of A and B is 15 years and 25 years respectively. What will be the ratio of their age after 45 years.
Ans: Present age of A and B is 15 years and 25 years respectively, After 45 years, the ratio of their age:
Q. 7. Ratio of two numbers is 7: 12. What will be the new ratio if its antecedent is doubled and consequent is increased by 2.
Ans: Ratio of two numbers is 7:12.
The new ratio if its antecedent is doubled and consequent is increased by 2.
∴ The new ratio =
Q.8. In each of the following ratios considering the consequent of the ratio as 100 find the equivalent ratios.
(i) 1:4
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(ii) 7: 20
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Q.9. Draw figures with ruler and pencil and find the ratio.
(i) The number of diagonals of a pentagon and to the number of its sides.
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(ii) The number of hypotenuse of a right angled triangle to its number of sides.
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Q.10. Present age of Tagar is 10 years. Her sister Malati’s age is two times of her age. What is the ratio of their present age? What was the ratio of their age 5 years ago and what will be the ratio after 5 years?
Arrange these ratios in ascending order.
Ans: Present age of Tagor = 10 years
Her sister Maloti’s present age = 10 x 2 = 20 years
∴ Ratio of their present ages = 10 / 20 = 1/2 = 1: 2
Again, the ratio of their ages 5 years after
∴ The ratios in ascending order = 1/3, 1/2, 3/5
11. The ratio of two numbers is 7: 12; If the larger number is 84, what is the smaller number?
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12. Divide ₹ 145 in the ratio 1: 4.
Ans: Rs. 145 will be divided in the ratio 1:4
= Rs. 29 x 4 = Rs. 116
∴ Rs. 29 and Rs. 116
13. ₹ 145 is divided into two parts in a certain ratio One of the part is ₹ 27. Find the ratio taking ₹ 27 as the antecedent of the ratio.
Ans: Rs. 145 is divided into two parts in a certain ratio.
One part = Rs. 27
and other part = Rs. (145-27) = Rs. 118
∴ The reqd. ratio = 27 : 118.
14. Minakshi earns ₹90,000 and saves ₹30,000. From her savings she gives half to the charity. Find the ratio of money she earns to the money she donate to charity.
Ans: Minakshi earns = ₹90,000
Minakshi’s savings = ₹30,000
She donate half of its salary = 30000/2
= 15000
Ratio of money she earn to the money she donate = 90000/15000
= 6 : 1
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Exercise – 13 (B) |
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1. Cost of 1 Mathematics book is ₹45.00. What is the cost of 10 mathematics books?
Ans: Cost of 1 book = Rs. 45
∴ Cost of 10 books = Rs (45 × 10) = Rs. 450
2. Cost of 12 story books is ₹300, what is the cost of 3 story books?
Ans: Cost of 12 story books = Rs. 300
3. Cost of a 1 dozen (1 dozen = 12 numbers) of eggs is ₹60. What is the cost of one and half dozen of eggs?
Ans: ∴ Cost of 12 eggs = Rs. 60
∴ Cost of 1 egg =
∴ Cost of 18 eggs = Rs. 5 x 18 = Rs. 90
∴ Cost of one and half dozen (18 eggs) = Rs. 90.00
4. A packet of gel pen contains 5 pens. The maximum retail price of a packet is 30. The shop keeper sells it for 25. What is the selling price of such 24 pens?
Ans: Cost price of 5 pens = Rs. 25
∴ Cost price of 1 pen = Rs. 25/5
Rs. 120
5. 600 men can complete a work in 40 days. In how many days the work will be completed by 400 men?
Ans: 6000 men can complete a work in 40 days
∴ 1 man can complete a work in (600 x 40) days
∴ 400 men can complete a work in
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