NCERT Solutions Class 7 Maths
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Class 7 holds an important place in the academic journey of the student’s life. It lays the foundation of higher classes i.e. Class 8, 9 and 10. Since the competition is tough, students should try to understand all the basic concepts and should be able to apply the theories in real-life circumstances. Here, simply attending class won’t be sufficient to keep up with the competition.
NCERT Solutions For Class 7 Maths
Mathematics is one of the most challenging and scoring subjects. NCERT Solutions for Class 7 Mathematics from Extramarks help students in achieving their objectives and in improving their learning. These solutions by Extramarks are prepared only for students to grasp and understand both simple and difficult concepts. The language is easy to understand so that students can understand it better and get the maximum benefit.
Students must have the conceptual clarity to perform well on their exams. As a result, Extramarks offers NCERT Mathematics Class 7 Solutions to students. They can learn quickly and have a thorough understanding of the study material. The most important point in learning Mathematics is studying and learning concepts, as well as practicing questions based on them. If they don’t have access to NCERT Solutions, they may find it difficult to get the right answer which can be time consuming and stressful.
NCERT Solutions For Class 7 Maths CBSE 2022-23 Edition
Students should practise and solve Class 7 Mathematics question papers regularly to perform better in exams. Later, they can access NCERT Solutions for Class 7 that are available on Extramarks website for free. The NCERT 7 Mathematics Solution by Extramarks will help students in getting clarity across different concepts. The solutions have been drafted in an organized and systematic manner. Students can understand concepts, difficult theorems, etc. The subject matter experts at Extramarks develop solutions as per the updated curriculum. Students can click on the link below and access NCERT Solutions for Class 7 Mathematics.
NCERT Solutions Class 7 Mathematics
Students of Class 7 can access chapter-wise NCERT Solutions Class 7 Mathematics.
NCERT Chapter-wise Exercise- Solutions for Class 7 Mathematics
After solving the NCERT Class 7th Mathematics exercises, students should go through the NCERT Solutions for Class 7 Mathematics. Going through the solutions might help students to understand and solve the exercises with better clarity and confidence.
Chapter 1: Integers (include a table)
Chapter 2: Fractions and Decimals
Chapter 3: Data Handling
Chapter 4: Simple Equations
Chapter 5: Lines and Angles
Chapter 6: The Triangle and its Properties
Chapter 7: Congruence of Triangles
Chapter 8:Comparing Quantities
Chapter 9: Rational Numbers
Chapter 10: Practical Geometry
Chapter 11: Perimeter and Area
Chapter 12: Algebraic Expressions
Chapter 13: Exponents and Powers
Chapter 14: Symmetry
Chapter 15: Visualizing Solid Shapes
CBSE Class 7 Mathematics Unit-wise Marks Weightage
Sr No | Topic/Unit | Marks % |
1 | Integer | 15 |
2 | Fractions and Decimals | 17.5 |
3 | Data Handling | 17.5 |
4 | Simple Equations | 17.5 |
5 | Lines and Angles | 17.5 |
6 | Triangle and its Properties | 12 |
7 | Congruence of a Triangle | 12 |
8 | Comparing Quantities | 14 |
9 | Rational Numbers | 7 |
10 | Practical Geometry | 12 |
11 | Perimeter and Area | 14 |
12 | Algebraic Expressions | 13 |
13 | Exponents and Powers | 14 |
14 | Symmetry | 10 |
15 | Visualising Solid Shapes | 5 |
Note: As the weightage is provided unit-wise, the content cannot be shuffled.
Key Features of Extramarks NCERT Solutions for Class 7 Mathematics
- The NCERT Solutions For Class 7th Mathematics can be easily downloaded and used offline or online.
- The solutions developed by subject matter experts are easy to understand and given in a step-by-step format with detailed explanation.
- The solutions are made available to the students chapter-wise along with the exercises to save students’ time and give more time for revision..
- These solutions are created by our highly qualified subject matter experts to provide students with the right study material.
Benefits of Class 7 Mathematics NCERT Solutions
- Students will get an overall view of the whole concepts mentioned in the NCERT Class 7th Mathematics textbook.
- The solutions have been prepared carefully for students who are good at grasping concepts as well as those who find it difficult to understand the basic concepts quickly. Extramarks NCERT Solutions for Class 7 Mathematics are easy to understand for the slow as well as quick learners.
- The NCERT Solutions For Class 7th Mathematics also help you to understand the recent question paper pattern and give you an idea about how to analyse and solve the questions.
- The NCERT Mathematics Class 7 solutions are written under the guidelines of the latest CBSE rules and regulations.
- The NCERT Solutions For Class 7th Mathematics covers the whole syllabus unit-wise and exercise-wise.
- Extramarks NCERT Solutions For Class 7th Mathematics are authentic, and highly accurate.
If students want to score good marks without referring to other study material, Extramarks provides students with NCERT Solutions For Class 7th Mathematics which covers the whole syllabus and can be easily accessed at their official website.
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Similary in
In
Adding (i), (ii), (iii) and (iv) to get
2
Therefore, the given expression is true
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100
676
QR
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p
Steps | Reasons |
(i) PM = QM | (i)… |
(ii)… | |
(iii) AM = AM | (iii)… |
(iv)… |
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Steps | Reasons |
(i) PM = QM | (i)…Given |
(ii)…Given | |
(iii) AM = AM | (iii)…Common |
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Here
will be the same
(ii)
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Below is the example:
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Q.30 Convert the given decimal fractions to percents.
a. 0.65 b. 2.1 c. 0.02 d. 12.35
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Q.31 Estimate what part of the figures is coloured and hence find the percent which is coloured.
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Q.38 Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.
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Q.49 Amina buys a book for 275 and sells it at a loss of 15%. How much does she sell it for?
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Q.50 Find the amount to be paid at the end of 3 years in each case:
(a) Principal = 1,200 at 12% p.a.
(b) Principal = 7,500 at 5% p.a.
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Q.51 What rate gives 280 as interest on a sum of 56000 in 2 years?
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Q.64 Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.
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We can give a horizontal cut to a round apple in the following way:
(c) A die
We can give a vertical cut to a die in the following ways:
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Q.80 Find the area of a square park whose perimeter is 320 m.
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Q.81 Find the breadth of a rectangular plot of land, if its area is 440 m2 and the length is 22 m. Also find its perimeter.
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Q.82 The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.
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Q.86 Find the area of each of the following parallelogram :
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Q.87 Find the area of each of the following triangles :
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Q.88 Find the missing values :
S. NO. | Base | Height | Area of the Parallelogram |
a. | 20 cm | 246 cm2 | |
b. | 15 cm | 154.5 cm2 | |
c. | 8.4 cm | 78.72 cm2 | |
d. | 15.6 cm | 16.38 cm2 |
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Q.89 Find the missing values :
Base | Height | Area of Triangle |
15 cm | …………….. | 84 cm2 |
…………….. | 31.4 mm | 1256 mm2 |
22 cm | …………….. | 170.5 cm2 |
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Q.96 If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take π =
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Q.97 From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take π = 3.14)
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< Find the perimeter of the adjoining figure, which is a semicircle including its diameter.
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Q.102 The circumference of a circle is 31.4 cm. Find the radius and the area of the circle ? (Take π = 3.14)
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Q.103 A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path? (π = 3.14)
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Q.105 Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take π = 3.14)
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Q.106 How many times a wheel of radius 28 cm must rotate to go 352 m? (take π =
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Q.107 The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)
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Q.108 A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectare.
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Q.109 A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65m. Find the area of the path.
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Q.110 A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
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Q.112 Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any left? (π = 3.14)
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Q.113 The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find:
(i) the area of the whole land
(ii) the area of the flower bed
(iii) the area of the lawn excluding the area of the flower bed.
(iv) the circumference of the flower bed.
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Q.114 In the following figures, find the area of the shaded portions:
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(i)
a.