# Ncert maths exemplar class 7

## Ncert maths exemplar class 7

Exercise 7. Question 1: Which of the following is not a criterion for congruence of triangles? Solution: c We know that, two triangles are congruent, if the sides and angles of one triangle are equal to the corresponding sides and angles of the other triangle. So, SSA is not a criterion for congruence of triangles. Question 8: If two sides of a triangle are of lengths 5 cm and 1. Solution: d Given, the length of two sides of a triangle are 5 cm and 1. Give reason for your answer. We know that, two triangles will be congruent by AAS rule, if two angles and the side of one triangle are equal to the two angles and the side of other triangle. Is the statement true? Solution: No, because in the congruent rule, the two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle i. Solution: No, because sides must be corresponding sides. Question 5: Is it possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm? Solution: No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm because here we see that sum of the lengths of two sides is equal to third side i. As we know that, the sum of any two sides of a triangle is greater than its third side, so given statement is not correct. Solution: No, we know that two triangles are congruent, if the sides and angles of one triangle are equal to the corresponding side and angles of other triangle. Which side of this triangle is the longest? Is it true to say that perimeter of the triangle is greater than 2AM? Give reason for your answer? Question Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Solution: No. Hence, it contradicts the property that the sum of two sides of a triangle is greater than the third side.

## Ncert exemplar class 7 maths algebraic expressions

Class 10 Science is one of the most important subjects especially for those students who want to pursue this subject in their higher classes. So, to get better in all these areas, one must have a reliable set of study resources that can help them clear all the concepts and remove all the doubts. Also, at this time of COVID lockdown, students need to keep a good study material with them so that they can study a subject properly making their study sessions effective and fruitful. This study material has been put up by the subject experts to bring you the richness of the subject so that you can study the accurate contents only. This whole study material is prepared for the new academic session, Pollination and Fertilisation in Plants. Study at Home. School Board. Current Affairs. This website uses cookie or similar technologies, to enhance your browsing experience and provide personalised recommendations. By continuing to use our website, you agree to our Privacy Policy and Cookie Policy. Chapter 5: Periodic Classification of Elements. Chapter 8: How Do Organisms Reproduce. Chapter Light - Reflection and Refraction. Chapter Magnetic Effects of Electric Current. Chapter Management of Natural Resources. Chapter 1: Chemical Reactions and Equations. Chapter 3: Metals and Non-Metals. Chapter 4: Carbon and Its Compounds. Chapter 7: Control and Coordination. Chapter 9: Heredity and Evolution.

## Ncert exemplar class 7 science

These solutions are updated for current session We have done on a number line when we add a positive integer, and we move to the right. To add a negative integer, we move to the left. Similarly, subtracting a positive integer, we move to the left and to subtract a negative integer, we move to the right. In class 7 Maths Chapter 1, we have to use these facts in applications of daily life. In Class 7 Maths Chapter 2, we will learn about fractions and decimals along with the operations of addition and subtraction on them. We also learnt how to multiply two decimal numbers. While multiplying two decimal numbers, first multiply them as whole numbers. Count the number of digits to the right of the decimal point in both the decimal numbers. Add the number of digits counted. Put the decimal point in the product by counting the digits from its rightmost place. The count should be the sum obtained earlier. We will also study the operations of multiplication and division on fractions as well as on decimals. There are methods for how two fractions are multiplied by multiplying their numerators and denominators separately and writing the product. How to obtain a reciprocal of a fraction is obtained by inverting it upside down. This concept is also used in Chapter 4 Simple Equations also. In Chapter 3 of Class 7 Maths, we will know about the collection, recording and presentation of data. Before collecting data, we need to know that the data that is collected needs to be organised in a proper table so that it becomes easy to understand and interpret. We will discuss the average that is a number that represents or shows the central tendency of a group of observations or data along with arithmetic mean, Mode, which is another form of central tendency or symbolic value and Medium. Median is also a form of symbolic value. It refers to the value which lies in the middle of the data with half of the observations above it and the other half below it. Bar graph and using bars of uniform widths and Double bar graphs to compare two collections of data at a glance is also given in 7th Maths Chapter 3 Data Handling. In the end, there are questions based on the probability that describes the situations in our daily life, that are certain to happen, some that are impossible and some that may or may not happen. Chapter 4 of Class 7 Maths describes an equation which is a condition on a variable such that two expressions in the variable should have equal value. It also tells about the value of the variable for which the equation is satisfied is called the solution of the equation. Addition or subtraction on both the sides equally in an equation remains it unchanged. This is the property which is used to solve the equation. Transposition of a number has the same effect as adding or subtracting the same number to both sides of the equation. Class 7 Chapter 4 Simple Equations describes here, how to construct simple algebraic expressions corresponding to practical situations and using the technique of doing the same mathematical operation on both sides, we can build an equation starting from its solution. We already know that a line segment has two endpoints and a ray has only one endpoint.

## Ncert exemplar class 7 maths simple equation

Question 3: x is a non-zero rational number. Question 7: Solution:. Question 8: The standard form of the number is a Question 9: Solution:. Question Which of the following is equal to 1? Question In standard form, the number Hence, Question Solution:. Question Which of the following is not true? Question Which power of 8 is equal to 2 6? In questions 41 to 65, state whether the given statements are True or False. Question In the standard form, a large number can be expressed as a decimal number between 0 and 1, multiplied by a power of Question 4 2 is greater than 2 4. Solution: False. Question 4 9 is greater than 16 3. Question Arrange in ascending order. Question Arrange the following exponents in descending order. Solution: In descending order, the numbers are arranged from largest to smallest. Question By what number should -4 5 be divided so that the quotient may be equal to - 4 3? Solution: In order to find the number, which should divide - 4 5 to get the quotient - 4 3we will divide - 4 5 by - 4 3. Question Find the value of Solution:. Question Express the following in usual form. Question Express the following in exponential form. Question How many times of 30 must be added together to get a sum equal to 30 7. Question Express each of the following numbers using exponential notations, Using prime factorization ofwe have Solution:.

## Ncert exemplar class 7 maths exponents and powers

Question 2: Which of the following rational numbers is positive? Solution : c We know that, when numerator and denominator of a rational number, both are negative, it is a positive rational number. Hence, among the given rational numbers is positive. Question 3: Which of the following rational numbers is negative? Solution :. Question 5: Which of the following rational numbers is equal to its reciprocal? Question 7: The standard form of is Solution :. Question 9: How many rational numbers are there between two rational numbers? Question Which is greater number in the following? Hence, is a negative rational number. Solution : The given rational number 1 is positive number, because its numerator and denominator are positive integer. Hence, 1 is a positive rational number. Solution : Note All the negative numbers lie on the left side of zero on the number line. Solution : On a number line, is to the right of Zero 0. Note All the positive numbers lie on the right side of zero on the number line. Solution : Since, additive inverse is the negative of a number. Hence, additive inverse of is. Note Additive inverse is a number, which when added to a given number, we get result as zero. Question Solution :. Solution : Two rational numbers are said to be equivalent or equal, if they have the same simplest form. Question Every natural number is a rational number, but every rational number need not be a natural number. Solution : True e. Question Zero is a rational number. So, zero is a rational number. Question Every integer is a rational number but every rational number need not be an integer. Solution : True Integers…. Question Every negative integer is not a negative rational number. Question If is a rational number and m is a non-zero integer, then Solution : True e. Question In a rational number, denominator always has to be a non-zero integer. It is because any number divided by zero is not defined. Question Sum of two rational numbers is always a rational number. Solution : True Sum of two rational numbers is always a rational number, it is true. Question All decimal numbers are also rational numbers. Solution True All decimal numbers are also rational numbers, it is true. Question The quotient of two rationals is always a rational number. Solution : False The quotient of two rationals is not always a rational number. Question Every fraction is a rational number. Solution : True Every fraction is a rational number but vice-versa is not true.

## Ncert exemplar class 7 maths perimeter and area

Question 3: Which of the following is not allowed in a given equation? Solution: d Dividing both sides of the equation by the same non-zero number is allowed in a given equation, division of any number by zero is not allowed as set division of number by zero is not defined. Note If we add same number to both sides of the equation while adding subtracting, then there will be no change in the given equation. Question 4: The solution of which of the following equations is neither a positive fraction nor an integer? Question Which of the following equations cannot be formed using the equation x -V. Question Shifting one term from one side of an equation to another side with a change of sign is known as a commutativity b transposition c distributivity d associativity Solution: b Transposition means shifting one term from one side of an equation to another side with a change of sign. Fill in the blanks In questions 19 to 48fill in the blanks to make the statements true. Question The sum of two numbers is 60 and their difference is Solution: Given, the sum of two numbers is 60 and difference is Question Sum of two numbers is Solution: a We are given that one number is twice the other. If smaller number is x, then the other number is 2x. So, the equation will be. Question In a test, Abha gets twice the marks as that of Palak. Solution: a If Palak gets x marks, then Abha gets twice the marks as that of Palak, i. Question The length of a rectangle is two times its breadth. Its perimeter is 60cm. Solution: a It is given that the length of the rectangle is two times its breadth. Question In a bag, there are Rs. If they are equal in number and their worth is Rs. Solution: Let number of coins of Rs. Question In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. If the total prize money is Rs. Solution: Question If 5 is addes to three times a number, it becomes the same as 7 is subtracted from four times the same number. Solution: Let the number be x. It is same as 7 is subtracted from 4 times the number, i. Solution: Finding the value of a variable in a linear equation that satisfies the equation is called a roo t of the equation. Solution: Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the sign of the term. Question Question Solution:. Question If a number is increased by 20, it becomes Solution: False Let the number be x.