ICSE

ML Aggarwal Class 7 Solutions Chapter 7 Percentage and Its Applications Ex 7.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 7 Percentage and Its Applications Ex 7.1

Question 1.
Convert the following percents into fractions in simplest form:
(i) 25%
(ii) 150%
(iii) 7\(\frac { 1 }{ 2 }\) %
(iv) 33\(\frac { 1 }{ 3 }\) %
Solution:

Question 2.
Convert the following fractions into percents:
(i) \(\frac { 1 }{ 8 }\)
(ii) \(\frac { 5 }{ 4 }\)
(iii) \(\frac { 9 }{ 16 }\)
(iv) \(\frac { 3 }{ 7 }\)
(v) \(\frac { 11 }{ 15 }\)
(vi) 1\(\frac { 3 }{ 8 }\)
Solution:

Question 3.
(i) 6 students out of 40 students in a class are absent. What percentage of students are absent ?
(ii) Antony secured 384 marks out of 500 marks. Find the percentage of marks secured by Antony.
(iii) A shop has 500 shirts, out of which 15 are defective. What percentage of shirts are defective?
(iv) Vani has a collection of bangles. She has 20 gold bangles and 10 silver bangles. What is the percentage of each type of bangles?
(v) There are 120 voters and 90 of them voted. What percent did not vote?
Solution:

Question 4.
Estimate the part of the figure which is shaded and hence find the percentage of the part which is shaded.

Solution:

Question 5.
Convert the following percentage into ratios in sirup rest form:
(i) 14 %
(ii) 1\(\frac { 3 }{ 4 }\) %
(iii) 33\(\frac { 1 }{ 3 }\) %
(iv) 37.5 %
Solution:

Question 6.
Express the following ratios as percentages:
(i) 5 : 4
(ii) 1 : 1
(iii) 2 : 3
(iv) 9 : 16
Solution:

Question 7.
An alloy consists of 7 parts of zinc and 33 parts of copper. Find the percentage of copper in the alloy ?
Solution:

Question 8.
Chalk contains calcium, carbon and sand in the ratio 12 : 3 : 10. Find the percentage of carbon in the chalk 12%.
Solution:

Question 9.
If ₹ 2500 is to be divided among Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and Roy five parts. How much money will each get? What will it be in percentages?
Solution:

Question 10.
Convert the following percentages to decimals:
(i) 28%
(ii) 3%
(iii) 0. 44%
(iv) 37\(\frac { 1 }{ 2 }\) %
Solution:

Question 11.
Convert the following decimals to percents:
(i) 0.65
(ii) 0.9
(iii) 2.1
(iv) 0.02
Solution:

Question 12.
(i) If 42% of the students in a class are girls, then what percent of the students in the class are boys?
(ii) We have a basket full of apples, oranges, and mangoes if 50% are apples, 30% are oranges, then what percent are mangoes?
Solution:

ML Aggarwal Class 7 Solutions Chapter 6 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 7 Solutions for ICSE Maths Chapter 6 Ratio and Proportion Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) The simplest form of the ratio \(\frac { 1 }{ 6 }\) : \(\frac { 1 }{ 4 }\) is ………
(ii) 75 cm : 1.25 m = ……..
(iii) If two ratios are equivalent, then the four quantities are said to be in ………
(iv) If 8, x, 48 and 18 are in proportion then the value of x is ………
(v) If the cost of 10 pencils is ₹ 15, then the cost of 6 pencils is ……..
(vi) If a cyclist is travelling at a speed of 15 km/h, then the distance covered by him in 20 minutes is ……..
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) A ratio is always greater than 1.
(ii) Ratio of half an hour to 20 seconds is 30 : 20.
(iii) The ratio 5 : 7 is greater than the ratio 5 : 6.
(iv) If the numbers 3, 5, 12 and x are in proportion then the value of x is 20.
(v) The ratio 3 : 2 and 4 : 5 are equivalent.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 14):
Question 3.
A ratio equivalent to 6 : 10 is
(a) 3 : 4
(b) 18 : 30
(c) 12 : 40
(d) 5 : 3
Solution:

Question 4.
A ratio equivalent to the ratio \(\frac { 2 }{ 3 }\) : \(\frac { 3 }{ 4 }\) is
(a) 4 : 6
(b) 8 : 9
(c) 6 : 8
(d) 9 : 8
Solution:

Question 5.
The ratio of 75 mL to 3 litres is
(a) 25 : 1
(b) 40 : 1
(c) 1 : 40
(d) 3 : 200
Solution:

Question 6.
The ratio of the number of sides of a rectangle to the number of edges of a cuboid is
(a) 1 : 2
(b) 1 : 3
(c) 2 : 3
(d) none of these
Solution:

Question 7.
In a class of 35 students, the number of girls is 20. The ratio of number of boys to the number of girls in the class is
(a) 3 : 4
(b) 4 : 3
(c) 7 : 4
(d) 7 : 3
Solution:

Question 8.
The ratio of number of girls to the number of boys in a class is 6 : 7. If there are 21 boys in the class, then the number of girls in the class is
(a) 39
(b) 24
(c) 18
(d) 13
Solution:

Question 9.
Two numbers are in the ratio 3 : 5. If the sum of the numbers is 144, then the largest number is
(a) 48
(b) 54
(c) 72
(d) 90
Solution:

Question 10.
If x, 12, 8 and 32 are in proportion, then x is
(a) 6
(b) 4
(c) 3
(d) 2
Solution:

Question 11.
If 3, 12 and x are in continued proportion, then x is
(a) 4
(b) 6
(c) 16
(d) 48
Solution:

Question 12.
If the weight of 5 bags of sugar is 27 kg, then the weight of one bag of sugar is
(a) 5.4 kg
(b) 5.2 kg
(c) 5.4 kg
(d) 5.6 kg
Solution:

Question 13.
Sonali bought one dozen notebooks for ₹ 66. What did she pay for one notebook?
(a) ₹ 6.50
(b) ₹ 6.60
(c) ₹ 5.60
(d) ₹ 5.50
Solution:

Question 14.
The speed of 90 km/h is equal to
(a) 10 m/sec
(b) 18 m/sec
(c) 25 m/sec
(d) none of these
Solution:

Value Based Questions

Question 1.
Sudhanshu divided his property into two parts in the ratio 8 : 5. If the first part is ₹ 1,60,000 and second part is donated to an orphanage, find the amount donated to the orphanage. What values are being promoted?
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
Present ages of Rohit and Mayank are in the ratio 11 : 8. 8 years hence the ratio of their ages will be 5 : 4. Find their present ages.
Solution:

Question 2.
Ratio of length and breadth of a rectangle is 3 : 2. If the length of the rectangle is 5 m more than the breadth, find the perimeter of the rectangle.
Solution:

ML Aggarwal Class 7 Solutions Chapter 6 Ratio and Proportion Ex 6.4 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 6 Ratio and Proportion Ex 6.4

Question 1.
Convert the following speeds into m/sec:
(i) 72 km/h
(ii) 9 km/h
(iii) 1.2 km/minutes
(iv) 600 m/hour
Solution:

Question 2.
Convert the following speeds into km/h:
(i) 15 m/sec
(ii) 1.5 m/sec
Solution:

Question 3.
Which is greater- the speed of 30 m/sec or 30 km/h?
Solution:

Question 4.
An aeroplane is flying at a speed of 720 km/h.
(i) If the aerial distance between two cities is 1800 km, how much time will the aeroplane take in crossing these cities?
(ii) How much distance does the aeroplane cover in 40 minutes?
(iii) How far will it fly in 15 seconds?
Solution:

Question 5.
A dog is walking at a speed of 6 km/h.
(i) How much distance does it cover in 5 minutes?
(ii) How much time would it take to cover 200 metres?
Solution:

Question 6.
A swimming pool is 50 metres long. A boy can swim across the length and then return to his starting position in 5 minutes. What is his swimming speed in km/h?
Solution:

Question 7.
A bus takes 48 minutes to cover a certain distance when travelling at a speed of 50 km/h. How much time will it take to cover the same distance when travelling at a speed of 30 km/h?
Solution:

ML Aggarwal Class 7 Solutions Chapter 6 Ratio and Proportion Ex 6.3 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 6 Ratio and Proportion Ex 6.3

Question 1.
6 bowls cost ₹ 90. What would be the cost of 10 such bowls?
Solution:

Question 2.
Ten pencils cost ₹ 15. How many pencils can be bought with ₹ 72?
Solution:

Question 3.
400 grams cake costs 80 rupees. How much would a 1.5 kg cake cost?
Solution:

Question 4.
A man earns ₹ 18000 in 3 months.
(i) How much time would he take to earn ₹ 30000?
(ii) How much money will he earn in 7 months?
Solution:

Question 5.
12 mangoes weigh 2.4 kg. What is the weight of 8 mangoes?
Solution:

Question 6.
If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2\(\frac { 1 }{ 2 }\) kilograms?
Solution:

Question 7.
A bus consumes 25 litres of diesel in covering a distance of 90 kilometres. How much diesel is needed to cover 288 kilometres?
Solution:

Question 8.
If \(\frac { 4 }{ 5 }\) metre cloth costs ₹ 36, find the cost of 2\(\frac { 1 }{ 5 }\) metres of cloth.
Solution:

Question 9.
If 15 men can pack 540 parcels per day, how many men are needed to pack 396 parcels per day?
Solution:

Question 10.
Which is a better buy 12 kg potatoes for ₹ 132 or 16 kg potatoes for ₹ 168?
Solution:

ML Aggarwal Class 7 Solutions Chapter 6 Ratio and Proportion Ex 6.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 6 Ratio and Proportion Ex 6.2

Question 1.
Which of the following statements are true?
(i) 2.5 : 1.5 :: 7.0 : 4.2
(ii) \(\frac { 1 }{ 2 } :\frac { 1 }{ 3 } =\frac { 1 }{ 3 } :\frac { 1 }{ 4 }\)
(iii) 24 men : 16 men = 33 horses : 22 horses.
Solution:

Question 2.
Check whether the following numbers are in proportion or not:
(i) 18, 10, 9, 5
(ii) 3, 3\(\frac { 1 }{ 2 }\), 4, 4\(\frac { 1 }{ 2 }\)
(iii) 0.1, 0.2, 0.3, 0.6
Solution:

Question 3.
Find x in the following proportions:
(i) x : 4 = 9 : 12
(ii) \(\frac { 1 }{ 13 }\) : x :: \(\frac { 1 }{ 2 }\) : \(\frac { 1 }{ 5 }\)
(iii) 3.6 : 0.4 = x : 0.5
Solution:

Question 4.
Find the fourth proportional to
(i) 42, 12, 7
(ii) \(\frac { 1 }{ 3 }\), \(\frac { 1 }{ 4 }\), \(\frac { 1 }{ 5 }\)
(iii) 3 kg, 12 kg, 15 kg
Solution:

Question 5.
Check whether 7, 49, 343 are in continued proportion or not.
Solution:

Question 6.
Find the third proportional to
(i) 36, 18
(ii) 5\(\frac { 1 }{ 4 }\), 7
(iii) 3.2, 0.8
Solution:

Question 7.
The ratio between the length and width of a rectangular sheet of paper is 7 : 5. If the width of the sheet is 20.5 cm, find its length.
Solution:

Question 8.
The ages of Amit and Archana are in the ratio 4 : 5. If Amit is 4 years 8 months old, find the age of Archana.
Solution: