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ML Aggarwal Class 6 Solutions Chapter 8 Ratio and Proportion Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 8 Ratio and Proportion Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) In the ratio 3 : 5, the first term is …………. and second term is ………..
(ii) In a ratio, the first term is also called ……….. and second term is also called …….
(iii) If two terms of a ratio have no common factor (except 1), then the ratio is said to be in …….
(iv) To simplify a ratio, we divide the two terms by their …….
(v) The simplest form of the ratio 8 : 12 is ……
(vi) 90 cm : 1.5 m = ……….
(vii) Method of comparison of two quantities of the same kind (in same units) by division is known as …………
(viii) When two ratios are equal, they are said to be in ………
(ix) When four quantities are in proportion, then the product of ………… is equal to product of middle terms.
(x) 4.5 omo is equal to ………
Solution:

Question 2.
State whether the following statemtns are true (T) or false (F):
(i) Ratio exists only between two quantities of the same kind.
(ii) Ratio has no units.
(iii) If a ≠ b, then the ratio a: bis different from the ratio b : a.
(iv) If we multiply or divide both terms of a ratio by the same non-zero number, then the ratio remains the same.
(v) The ratio a: b is said to be in simplest form if HCF of a and b is 1.
(vi) In some situations, comparison of two quantities (of same kind) by difference does not make much sense.
Solution:

Multiple Choice Questions
Choose the correct answer from the given four options (3 to 18):
Question 3.
A ratio equivalent to 5 : 7 is
(a) 10:21
(b) 15 : 14
(c) 20 : 28
(d) 25 : 49
Solution:

Question 4.
The ratio 384 : 480 in the simplest form is
(a) 2 : 5
(b) 3 : 5
(c) 5 : 4
(d) 4 : 5
Solution:

Question 5.
The ratio of 20 minutes to 1 hour is
(a) 20 : 1
(b) 1 : 3
(c) 1 : 4
(d) 2 : 5
Solution:

Question 6.
The ratio of 150 g to 2 kg is
(a) 75 : 1
(b) 40 : 3
(c) 3 : 40
(d) 3 : 200
Solution:

Question 7.
In a class of 40 students, 25 students play cricket and the remaining play tennis. The ratio of number of students playing crickets to the number of students playing tennis is
(a) 5 : 8
(b) 5 : 3
(c) 3 : 5
(d) 8 : 5
Solution:

Question 8.
Two numbers are in the ratio 3 : 5. If the sum of numbers is 144, then the smaller number is
(a) 54
(b) 72
(c) 90
(d) 48
Solution:

Question 9.
The ratio of number of girls to the number of boys in a class is 5 : 4. If there are 25 girls in the class, then the number of boys in the class is
(a) 15
(b) 20
(c) 30
(d) 40
Solution:

Question 10.
The ratio of the number of sides of a square and the number of edges of a cube is
(a) 1 : 2
(b) 1 : 3
(c) 1 : 4
(d) 2 : 3
Solution:

Question 11.
In shelf, the books with green cover and that with brown cover are in the ratio 2:3. If there are 18 books with green cover, then the number of books with brown cover is
(a) 12
(b) 24
(c) 27
(d) 36
Solution:

Question 12.
In a box, the ratio of the number of red marbles to that of blue marbles is 4 :7. Which of the following could be the total number of marbles in the box?
(a) 14
(b) 21
(c) 22
(d) 28
Solution:

Question 13.
If a, b, c and d are in proportion, then
(a) ab = cd
(b) ad = be
(c) ac = bd
(d) none of these
Solution:

Question 14.
If the weight of 5 bags of rice is 272 kg, then the weight of 1 bag of rice is
(a) 50.4 kg
(b) 54.4 kg
(c) 54.004 kg
(d) 54.04 kg
Solution:

Question 15.
If 7 pencils cost ₹35, then the cost of one dozen pencils is
(a) ₹60
(b) ₹70
(c) ₹30
(d) ₹5
Solution:

Question 16.
The ratio 2 : 3 expressed as percentage is
(a) 40%
(b) 60%
(c) \(66 \frac{2}{3} \%\)
(d) \(33 \frac{1}{3} \%\)
Solution:

Question 17.
0.025 when expressed as percentage is
(a) 250%
(b) 25%
(c) 4%
(d) 2.5%
Solution:

Question 18.
In a class, 45% of the students are girls. If there are 18 girls in the class, then the total number of students in the class is
(a) 44
(b) 40
(c) 36
(d) 30
Solution:

Value Based Questions
Question 1.
Students of a colony decided to go to an old age home in their vicinity to wish Happy New year and get blessings from old people.
They carried the following items with them:
Bouquets 63, New Year Cards 70 and chocolates bars 140. Answer the following questions:
(i) What is the ratio of number of bouquets to the number of chocolate bars?
(ii) What is the ratio of number of cards to the number of sum of all items?
Solution:

Higher Order Thinking Skills (Hots)
Question 1.
Divide ₹6000 among Irfan, Nagma and Ishan in the raito 3 : 5 : 7.
Solution:

Question 2.
Sapna weighs 54 kg on earth and 9 kg on moon. If a monkey weighs 3.5 kg on moon, then how much will it weigh on the earth?
Solution:

Question 3.
If 5 men can do a certain construction work in 14 days, then how long will 7 men take to complete the same construction work?
Solution:

ML Aggarwal Class 6 Solutions Chapter 8 Ratio and Proportion Ex 8.5 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 8 Ratio and Proportion Ex 8.5

Question 1.
The speed of a car is \(105 \frac{1}{5}\) km/h, find the distance covered by it in \(3 \frac{3}{5}\) hours.
Solution:

Question 2.
If the speed of a car is 50.4 km/h, find the distance covered in 3.6 hours.
Solution:

Question 3.
If a car covers a distance of 201.25 km in 3.5 hours, find the speed of the car.
Solution:

ML Aggarwal Class 6 Solutions Chapter 8 Ratio and Proportion Ex 8.4 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 8 Ratio and Proportion Ex 8.4

Question 1.
Find the value of:

Solution:

Question 2.
In a class of 60 student, 45% are girls. Find the number of boys in the class.
Solution:

Question 3.
Mr. Malkani saves 22% of his salary every month. If his salary is ₹ 12750 per month, what is his expenditure?
Solution:

Question 4.
On a rainy day, 94% of the students were present in a school, if the number of students absent on that day was 174, find the total strength of the school.
Solution:

ML Aggarwal Class 6 Solutions Chapter 8 Ratio and Proportion Ex 8.3 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 8 Ratio and Proportion Ex 8.3

Question 1.
If the cost of 9 m cloth is ₹378, find the cost of 4 m cloth.
Solution:

Question 2.
The weight of 36 books is 12 kg. What is weight of 75 such books?
Solution:

Question 3.
Five pens cost ₹115. How many pens can you buy in ₹207?
Solution:

Question 4.
A car consumes 8 litres of petrol in covering a distance of 100 km. How many kilometres will it travel in 26 litres of petrol?
Solution:

Question 5.
A truck requires 108 litres of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?
Solution:

Question 6.
A transport company charges ₹5400 to carry 80 quintals of weight. What will it charge to carry 126 quintals of weight (same distance)?
Solution:

Question 7.
42 metres of cloth is required to make 20 shirts of the same size. How much cloth will be required to make 36 shirts of that size?
Solution:

Question 8.
Cost of 5 kg of rice is ₹107.50.
(i) What will be the cost of 8 kg of rice?
(ii) What quantity of rice can be purchased in ₹64.5?
Solution:

Question 9.
Cost of 4 dozen bananas is ₹ 180. How many bananas can be purchased for ₹37.50?
Solution:

Question 10.
Aman purchases 12 pens for ₹156 and Payush buys 9 pens for ₹1108. Can you say who got the pens cheaper?
Solution:

Question 11.
Rohit made 42 runs in 6 overs and Virat made 63 runs in 7 overs. Who made more runs per over?
Solution:

Question 12.
A bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then find the ratio of the distance travelled by them in one hour.
Solution:

ML Aggarwal Class 6 Solutions Chapter 8 Ratio and Proportion Ex 8.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 8 Ratio and Proportion Ex 8.2

Question 1.
Check whether the given two ratios form a proportion or not:
(i) 4 : 6 and 12 : 18
(ii) 15:45 and 40 :120
(iii) 14 : 4 and 18 : 6
(iv) 12 : 18 and 28 : 12
Solution:

Question 2.
Write true (T) or false (F) against each of the following statements:
(i) 16 : 24 = 20 : 30
(ii) 16 : 24 = 30 : 20
(iii) 21 : 6 :: 35 : 10
(iv) 5.2 : 3.9 :: 3 :4
Solution:

Question 3.
Find which of the following are in proportion:
(i) 12, 16, 6, 8
(ii) 2, 3, 4, 5
(iii) 18, 10, 9, 5
(iv) 18, 9, 10, 5
Solution:

Question 4.
Are the following statements true?
(i) 39 kg : 36 kg = 26 men : 24 men
(ii) 45 km : 60 km = 12 hours : 15 hours
(iii) 40 people : 200 people = ₹1000 : ₹5000
(iv) 7.5 litres: 15 litres = 15 children: 30 children
Solution:

Question 5.
Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms when the ratios form a proportion. .
(i) 25 cm : 1 m and ₹40 : ₹ 160
(ii) 39 litres : 65 litres and 6 bottles : 10 bottles
(iii) 2 kg : 80 kg and 30 sec : 5 minutes
(iv) 200 g : 2.5 kg and ₹4 : ₹50
Solution:

ML Aggarwal Class 6 Solution Chapter 8 Ratio and Proportion Ex 8.2