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Nov 27, �� NCERT Solutions for Class 10 are solved by experts of myboat324 boatplans in order to help students to obtain excellent marks in their board examination. All the questions and answers that are present in the CBSE NCERT Books has been included in this page. We have provided all the Class 10 NCERT Solutions with a detailed explanation i.e., we have solved all the questions with step by step solutions. NCERT Solutions for Class 10 Maths pdf provided here covers all the chapters and Exercises of Class 10 Maths. These solutions are prepared by the expert teachers who are having years of experience in teaching Maths for Class 10 students. Download chapter-wise NCERT solutions for class 10 maths PDFfor free to prepare for - 21 Board Exams.
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Find the area of the design shaded region. In the figure, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles.

Find the area of the shaded region. The given figure depicts a racing track whose left and right ends are semicircular. The distance between the two inner parallel line segments is 60 m and they are each m long. If the track is 10 m wide, find: i the distance around the track along its inner edge.

In the figure, AB and CD are two diameters of a circle with centre O perpendicular to each other and OD is the diameter of the smaller circle. The area of an equilateral triangle ABC is With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle see figure.

On a square handkerchief, nine circular designs each of the radius 7 cm are made see figure. Find the area of the remaining portion of the handkerchief. The third Exercise describes how to find the sum of first n terms of AP and contains questions related to the topic.

The last and fourth Exercise have questions related to the topics taught in the chapter. Exercise 5.

The chapter 6 of class 10 gives details about the triangles. The chapter gives details about the figures with the same shape but different sizes. It explains the similarity of the triangles, theorems associated with the similarity of triangles and the concept of congruent triangles.

Further, theorems related to areas of triangles, the Pythagoras theorem and the converse of pythagoras theorem is explained. Exercise 6. Class 10 Maths Chapter 7 explains coordinate geometry, the maths of locating a given point with the help of an ordered pair of numbers. The coordinate or cartesian geometry helps to find the distance between two points whose coordinates are given.

The concept of finding the area of a triangle formed by three given points. Also, the ways of finding the coordinates of the point which divides a line segment joining two given points in a given ratio is explained in the chapter.

Exercise 7. Trigonometry is the study of the ratio of right triangles with respect to the acute angles, which are known as trigonometric ratios of the angles. Students will also learn to calculate trigonometric ratios for the given angles and also a few trigonometric identities.

Exercise 8. Chapter 9 is the continuation of chapter 8 where the students will learn about the application of trigonometry which they learnt in the previous chapter. This chapter helps to understand how trigonometry is applied to our everyday life to find out the height and distance of various objects. They will also learn how trigonometry is applied and used in navigation, construction and determining the position of any piece of land based on their latitude and longitudes.

Exercise 9. In this chapter, students will be introduced to the concept of tangents and number of tangents from a point on a circle. Exercise Chapter 11 is one of the interesting chapters. This chapter is all about constructing various geometric figures. The students will learn to divide a line segment, and how to draw tangents to a circle.

The methods of construction are well explained in the chapter to clear the concepts. As the name suggests, the chapter is about the perimeter and area of a circle. The concepts of finding the area of a sector and segment of a circle is clarified here. This chapter further explains how to find the area of the figures that contains a circle or part of a circle. In the five Exercises of this chapter, finding the surface area of any object which is made up of two or more different solid shapes.

The solid shapes include cuboid, cone, sphere, hemisphere and cylinder. Then, there are questions on finding the volume of the objects that are again made up of two different solid shapes. Also, there are questions which ask about the conversion from one shape to another. This chapter further explains how to find the volume, curved surface area and total surface area of a frustum of a cone.

This is another interesting chapter where the students learn about the numerical representation of data, grouped or ungrouped. They further learn about finding the mean, median and mode of the given data. In the next Exercise, they will learn about the cumulative frequency distribution and drawing cumulative frequency curves. It elaborates and explains the difference between experimental probability and theoretical probability.

The chapter is full of examples to clear the concept of probability to the learners. Students can download the PDF easily and start going through the chapters. You will find clear categorisation and step by step solutions of all the questions with a clear conclusion. This will help you to understand how you can write answers in your exams to help you score well. The exam is of marks where 80 marks is for theory whereas 20 marks is given for internal assessment.

To understand the marking scheme in a better way, you should understand the exam pattern clearly. To score good in the exam, you should know how much mark is awarded for each question and each step of the question. Every year, just before the board exams, the board releases sample papers and marking schemes so that all the doubts of the students are cleared. The number of questions are increased and the marks per question are reduced. This marking scheme will be helpful to the students as the maximum number of questions will become objective or very short answer type as the marks per question has reduced.

CBSE focuses on all-round development of Class 10 students to prepare them for their further education. To perform well in Class 10 then becomes fairly important. CBSE marking scheme is stepwise so you have scored accordingly.

Therefore students should write each step clearly and give a proper conclusion at the end of the answer. The unit wise marks weightage of the mathematics paper is as follows:. The paper has four sections. There are a total of 30 questions for 80 marks.

Number System. Coordinate geometry. Statistics and probability. The question paper design will be:. Sl No. Type of Questions. Total Marks. Memory: Terms, answers, basic concepts and recalling of facts. Understanding: Compare, organize, interpret, translate, describe and stating main ideas. Apply: Solving problems by applying the knowledge, facts, theorems and rules in different ways.

Analyse: Analyse the information provided and making inferences. Evaluate: Opine about the validity of quality of work and validity of ideas.

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