NCERT Solutions for Class 7 Maths

NCERT Solutions for Class 7 Maths in PDF format updated for the academic session 2020-21, Download Exemplar problems book, NCERT solutions of Science and answers and other subject’s solutions also free for session 2020-21.

Complete description of each question is given in the solutions which is based on latest NCERT Books 2020-2021. Practice Maths with Vedic Maths to improve your calculations and make it faster. Download 7 Maths Offline App in English Medium and 7 गणित Offline App in हिंदी मीडियम. These Apps work without internet, once downloaded.

NCERT Solutions for Class 7 Maths

Subject:Maths – गणित
Medium:हिंदी & English Medium

Class 7 Maths Solutions in Hindi & English Medium

NCERT Solutions for Class 7 Maths are now available in both English Medium and Hindi Medium free to download. These solutions are updated for current session 2020-21.

Feedback & Suggestions

If you are still facing problem to understand the solution any question, please notify us through “Discussion Forum” section. NCERT Solutions 2020-21 of all exercises are given as separate PDF files. Important questions from U-like, R S Aggarwal, P K Garg, R D Sharma, Assignments, Notes, Sample Papers, Chapter test and other study material will be uploaded very soon.
Download 7 Maths Offline App in English Medium and 7 गणित Offline App in हिंदी मीडियम. Questions are taken from the Latest CBSE Syllabus for 2020-2021. Please give feedback and suggestions to improve the contents and quality if possible.

Hindi Medium & English Medium Solutions

Hindi Medium NCERT Solutions for class 7 Maths is now available for the current academic year 2020-21 onward. यदि विद्यार्थियों या अभिभावकों की तरफ से कोई सलाह वेबसाइट को सुधारने के लिए हो तो अवश्य दे। आपका योगदान अन्य विद्यार्थिओं के लिए मददगार होगा। इस वर्ष 2020-2021 में लगभग सभी विषयों के हिंदी और अंग्रेजी माध्यम के हल उपलब्ध होंगे।
Your suggestion is always valuable for us in improving website as well as contents. We are working for UP Board and Bihar Board also. The contents will be online April onward. NCERT Books 2020-2021 for all Subjects are available in PDF as well as ZIP format. Download 7 Maths Offline App in English Medium and 7 गणित Offline App in हिंदी मीडियम.

Important questions in Class 7 Maths (FAQ)

A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?
Height of a place above the sea level = 5000 m
Floating a submarine below the sea level = 1200 m
The vertical distance between the plane and the submarine = 5000 + 1200 = 6200 m
Thus, the vertical distance between the plane and the submarine is 6200 m.
A car runs 16 km using 1 litre of petrol. How much distance will it cover using 2 and 3/4 litres of petrol?
In 1 litre of pertrol, car covers the distance = 16 km
In litres of petrol, car covers the distance = 2 and 3/4 of 16 km = 11/4 x 16 = 44 km
Thus, the car will cover 44 km distance.
Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14.
Arranging the given data in ascending order,
12, 12, 13, 13, 14, 14, 14, 16, 19
Mode is the observation occurred the highest number of times = 14
Median is the middle observation = 14
लक्ष्मी के पिता की आयु 49 वर्ष है। उनकी आयु लक्ष्मी की आयु के तीन गुने से 4 वर्ष अधिक है। लक्ष्मी की आयु क्या है?
माना, लक्ष्मी की आयु = y वर्ष
इसलिए, पिता की आयु = 3 y + 4 वर्ष
प्रश्न के अनुसार,
3 y + 4 = 49
So, 3y = 49 – 4 = 45
and y = 45/3 = 15
अतः, लक्ष्मी की आयु 15 वर्ष है।
क्या दो ऐसे कोण संपूरक हो सकते हैं यदि उनमे से दोनों अधिक कोण हैं?
नहीं, क्योंकि दो अधिक कोणों का योग सदैव 180 से अधिक होता है।
त्रिभुज PQR के अभ्यंतर में कोई बिंदु O लीजिए। क्या यह सही है कि OP + OQ > PQ?
हाँ, क्योंकि POQ एक त्रिभुज है और त्रिभुज की कोई दो भुजाओं के मापों का योग, तीसरी भुजा की माप से अधिक होती है।
Give any two real time examples for congruent shapes.
Two footballs with same size and different colour.
I buy a T.V. for ₹10,000 and sell it at a profit of 20%. How much money do I get for it?
The cost price of T.V. = ₹ 10,000
Profit percent = 20%
Now, Profit = Profit% of C.P.
= 20/100 x 1000 = ₹ 2,000
Selling price = C.P. + Profit = ₹10,000 + ₹2,000 = ₹ 12,000
Hence, he gets ₹12,000 on selling his T.V.
How can two different rational numbers be added?
Two rational numbers with different denominators are added by first taking the LCM of the two denominators and then converting both the rational numbers to their equivalent forms having the LCM as the denominator and adding them as above.
Construct DEF such that DE = 5 cm, DF = 3 cm and EDF = 90.
To construct: DEF where DE = 5 cm, DF = 3 cm and EDF = 90
Steps of construction:
(a) Draw a line segment DF = 3 cm.
(b) At point D, draw an angle of 90 with the help of compass i.e., XDF = 90.
(c) Taking D as centre, draw an arc of radius 5 cm, which cuts DX at the point E.
(d) Join EF.
(e) It is the required right angled triangle DEF.
एक वृत्ताकार फूलों के बगीचे का क्षेत्रफल 314 m2 है। बगीचे के केंद्र में एक घूमने वाला फव्वारा (sprinkler) लगाया जाता है, जो अपने चारों ओर 12 m त्रिज्या के क्षेत्रफल में पानी का छिड़काव करता है। क्या फव्वारा पूरे बगीचे में पानी का छिड़काव कर सकेगा? (π=3.14 लीजिए)
फव्वारे द्वारा छिड़काव किए गए भाग का क्षेत्रफल = πr^2
= 3.14 x 12 x 12
= 3.14 x 144
= 452.16 m^2
वृत्ताकार फूलों के बगीचे का क्षेत्रफल = 314 m2
यहाँ, वृत्ताकार फूलों के बगीचे का क्षेत्रफल, फव्वारे द्वारा छिड़काव किए गए क्षेत्रफल से कम है।
अतः, फव्वारा पूरे बगीचे में पानी का छिड़काव कर सकेगा।
How are the mathematical operations done in algebraic expressions?
When we add (or subtract) two algebraic expressions, the like terms are added (or subtracted) and the unlike terms are written as they are.
What is the standard form or scientific notation?
Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by a power of 10. Such form of a number is called its standard form or scientific notation.
What other name can you give to the line of symmetry of an isosceles triangle?
The line of symmetry of an isosceles triangle is median or altitude.
जाँच कीजिए कि क्या ये कथन सत्य हैं। एक घन एक षट्भुज के आकार की छाया दे सकता है।