Diy Canoe Building Plans Meaning

CBSE Class 10 Maths Formulas, Chapterwise Math Formulas and Equations

Maths is one of the most important subjects as it is a basic requirement for a lot of career choices. Most of the students who are math phobic must know that high school Mathematics is important. Because the concepts covered during this period are asked in various competitive exams, like CAT, MAT, and even government job exams. In this article, we will provide you with the complete list of Maths formulae for Class 10 to help you with board exam preparation.

If a1, a2, a3, a4�. So, the formula to calculate the nth term of AP is given as:. The sum for the nth term of AP where a is the 1st term, d is the common difference, and l is the last term is given as:. The Trigonometric Formulas for Class 10 covers the basic trigonometric functions for a right-angled triangle i.

Sine sinCosine cosand Tangent tan which can be used to derive Cosecant mahhsSecant secand Cotangent cot. The Trigonometric Table comprising the values of these trigonometric functions for standard angles is as under:. To know the algebra formulas for Class 10, first, you need to get familiar matths Quadratic Equations.

Quick Note : These formulas will be important in higher classes and various cu examninations. So, memorize them and understand them. Circle formulas act as a base for Mensuration.

The Class 10 Maths Circle formulas for a circle of radius r are given below:. These formulas are very important for successfully solving mensuration questions.

Find ch 1 class 10 maths formula free the formulas in a tabulated form for your convenience. Statistics in Class 10 is majorly about finding the Mean, Median, and Mode of the given data. The statistic formulas are given below:. Ans: Learning or memorizing maths formulas requires a formuls of practice.

First, familiarize yourself with the frer ch 1 class 10 maths formula free concepts, then try to understand how a formula is derived and then memorize it. Ans: A formal is a set of instructions that produces the desired result whereas an equation contains numerical operators.

Ans: To learn maths formulas easily you can take the help of formulas provided in 10th Class Maths All Formulas Pdf Free Download Unity this article. You can learn them directly from the article ch 1 class 10 maths formula free you can take a printout. Ans: Students looking for Surface Areas and Volume formulas can view them through this article. These are some of the important formulas for Class 10 Maths. These Maths formulas for Class 10 will prove to be helpful in your learning process.

Solve the free Class 10 Maths questions and refer to these formulas to score better in Class 10 board exams:. If you have any queries regarding this mathhs on Maths formulas for class 1 0feel free to ask in the comment section. We will get back to you at the earliest. Support: support embibe. General: info embibe. Trigonometry Formulas For Class 10 Maths The Trigonometric Formulas for Class 10 covers the basic trigonometric functions for a right-angled triangle i.

The Class 10 Maths Circle formulas for a circle of radius r are given below: 1. Ques 1: How do you memorize math formulas? Quest 2: What is the difference between formula and equation? Ques 3: How can I learn maths formulas for Class 10 easily? Ques 4: Where can I get maths formulas for 10th Class Maths All Formulas Pdf Free Download Kit Surface Areas and volume? Algebra Formulas For Class Maths Formulas Ch 1 class 10 maths formula free Class 8.

Mensuration Formulas. Trigonometry Table. Trigonometric Ratios.

Abstract:

q : how do we arrange rigging? With boats, comply. Coupling a support collectively.

The ionic ends of the soap molecules in the micelles, however, remain attached to water. When the dirty cloth is agitated in soap solution, the oily and greasy particles present on its surface and entrapped by soap micelles get dispersed in water due to which the soap water becomes dirty but the cloth gets cleaned.

The cloth is cleaned thoroughly by rinsing in clean water a number of times. Carbon compounds: Covalent bonding in carbon compounds, Versatile nature 10th Class Maths All Formulas Pdf Free Download Receipt of carbon, Homologous series, Nomenclature of carbon compounds containing functional groups, halogens, alcohol, ketones, aldehydes, alkanes, and alkynes , difference between saturated hydrocarbons and unsaturated hydrocarbons.

Chemical properties of carbon compounds combustion, oxidation, addition and substitution reaction. Ethanol only properties and uses , Ethanoic acid only properties and uses , soaps and detergents. Formulae Handbook for Class 10 Maths and Science. Question 2 What would be the electron dot structure of a molecule of sulphur, which is made up of eight atoms of sulphur? Hint � The eight atoms of sulphur are joined together in the form of a ring. Question 3 How many structural isomers can you draw for pentane?

Solution: We can draw 3 structural isomers for pentane. Question 4 What are the two properties of carbon that lead to the huge number of carbon compounds we see around us?

Solution: Due to its large valency, carbon atoms can form covalent bonds with a number of carbon atoms as well as with a large number of other atoms such as hydrogen, oxygen, nitrogen, sulphur, chlorine and many more atoms. This leads to the formation of a large number of organic compounds. Question 5 What will be the formula and electron dot structure of Cyclopentane?

Question 6 Draw the structures for the following compounds. Ethanoic acid ii. Bromopentane iii. Butanone iv. Hexanal Solution:. Question 7 How would you name the following compounds?

Solution: i. Ethyl bromide ii. Formaldehyde iii. Question 8 Why is the conversion of ethanol to Ethanoic acid an oxidation reaction? Solution: The conversion of ethanol into ethanoic acid is called an oxidation reaction because oxygen is added to it during this conversion. Question 9 A mixture of oxygen and ethyne is burnt for welding.

Solution: When a mixture of oxygen and ethyne is burnt, it burns completely producing a blue flame. This blue flame is extremely hot which produced a very high temperature which is used for welding metals. But the mixture of ethyne and air is not used for welding purposes because burning of ethyne in air produces a sooty flame, which is not enough to melt metals for welding.

Question 10 What are oxidizing agents? Solution: Oxidizing agents are the substances that gain electrons in an redox reaction and whose oxidation number is reduced. Question 11 Explain the nature of the covalent bond using the bond formation of CH 3 Cl.

Solution: CH 3 Cl methyl chloride is made up of one carbon atom, three hydrogen atoms and one chlorine atom. Carbon atom has 4 valence electrons, each hydrogen atom has one valence electron, and a chlorine atom has 7 valence electrons. Carbon atom shares its four valence electrons with three hydrogen atoms and 1 chlorine atom to form methyl chloride as follows: From the above reaction, in the dot structure of methyl chloride CH 3 Cl there are four pairs of shared electrons between carbon and other atoms.

Each pair of shared electrons constitutes one single covalent bond. So, methyl chloride has four single covalent bonds. Question 12 Draw the electron dot structures for- Solution:. Question 13 What is a homologous series? Solution: Homologous series is a series of compounds with a similar general formula, possessing similar chemical properties due to the presence of the same functional group, and shows a gradation in physical properties as a result of increase in molecular size and mass.

For example, methane has a lower boiling point than ethane since it has more intermolecular forces with neighbouring molecules. This is because of the increase in the number of atoms making up the molecule.

Question 14 How can ethanol and Ethanoic acid be differentiated on the basis of their physical and chemical properties?

Solution: i Ethanol has a pleasant smell whereas ethanoic acid has the smell of vinegar. Question 15 Why does micelle formation take place when soap is added to water?

Will a micelle be formed in other solvents such as ethanol also? Solution: Micelle formation takes place when soap is added to water. This is because when soap is added to water in which dirty clothes are soaked, the two parts of the soap molecule dissolves in two different mediums.

The organic tail dissolves in the dirt, grime or grease and the ionic head dissolves in water. When the clothes are rinsed or agitated, the dirt gets pulled out of the clothes in the water by the soap molecule. In this way the soap does its cleaning work on dirty and grimy clothes or hands. The soap molecules actually form a closed structure because of mutual repulsion of the positively charged heads.

This structure is called a micelle. Question 16 Why are carbon and its compounds used as fuels for most applications? Solution: Carbon and its compounds are used as fuels for most of the applications because they burn in air releasing a lot of heat energy. Question 17 Explain the formation of scum when hard water is treated with soap. Solution: The precipitate form of scum is formed when soap is used for washing clothes.

With hard water, a large amount of soap is wasted in reacting with the calcium and magnesium ions of hard water to form an insoluble precipitate. The precipitate form formed by the action of hard water on soap, sticks to the clothes being washed and interferes with the cleaning ability of the additional soap. This makes the cleaning of clothes difficult. Question 18 What change will you observe if you test soap with litmus paper red and blue?

Solution: Soap is the salt of a strong base NaOH and a weak acid carboxylic acid , so a solution of soap in water is basic in nature. Being basic, a soap solution turns red litmus paper blue.

Question 19 What is hydrogenation? Solution: It is a class of chemical reactions in which the net result is addition of hydrogen H 2 to unsaturated organic compounds such as alkenes, alkynes, etc.

Hydrogenation is widely applied to the processing of vegetable oils and fats. Complete hydrogenation converts unsaturated fatty acids to saturated ones.

From the above hydrocarbons C 2 H 2 is an alkyne, whereas C 3 H 6 is an alkene. So, C 3 H 6 and C 2 H 2 will undergo addition reactions.

Question 21 Give a test that can be used to differentiate chemically between butter and cooking oil. Solution: Bromine water test can be used to differentiate chemically between butter and cooking oil. Add bromine water to a little of cooking oil and butter taken in separate test tubes. Decolourising of bromine water by cooking oil unsaturated compound b.

Butter saturated compound does not decolourise bromine water. Question 22 Explain the mechanism of the cleaning action of soaps. Solution: We all know that soap is used to remove dirt and and grime from substances. Generally dirt and grime get stuck because they have an oily component, which is difficult to remove, by plain brushing or washing by water.

A soap molecule has two parts, a head and a tail i. A soap molecule has a tadpole like structure shown below. The organic part is water insoluble but is soluble in organic solvents or in oil or grease. The ionic part is soluble in water, as water is a polar solvent. When soap is added to water in which dirty clothes are soaked, the two parts of the soap molecule dissolve in two different mediums.

When the clothes are rinsed or agitated, the dirt gets pulled out of the clothes, by the soap molecule. In this way soap does its cleaning work on dirty and grimy clothes or hands. The micelle pulls out the dirt and grime more efficiently. Question 23 Would you be able to check if water is hard by using a detergent? Solution: We would not be able to check whether a sample of water is hard by using a detergent, this is because a detergent forms lather easily even with hard water.

Question 24 People use a variety of methods to wash clothes. Solution: It is necessary to shake to get clean clothes because the soap micelles, which entrap oily or greasy particles on the surface of dirty clothes, have to be removed from their surface.

When the clothes which are wet by soap solution are beaten, the micelles containing oil or greasy dirt particles get removed from the surface of dirty clothes and go into water and the dirty cloth gets cleaned.

Question 1. Buckminster fullerene is an allotropic form of [NCERT Exemplar] a phosphorus b sulphur c carbon d tin Answer: c Buckminster fullerene is an allotrope of carbon containing clusters of 60 carbon atoms joined together to form spherical molecules. Its formula isC 60 C-sixty. It is a dark solid at room temperature and as compared to another allotropic form of carbon diamond and graphite , it is neither very hard nor soft.

Question 2. Question 3. In which of the following. Question 4. The long hydrocarbon chain is hydrophobic water repelling and ionic portion is hydrophilic water attracting. Question 5. Its formula is C 6 H 6. In structure b formula is C 6 H In structure a double bond is not at alternate position.

Question 6. Which of the following is not a straight chain hydrocarbon? Rest three are straight chain hydrocarbons. Question 7. Which among the following are unsaturated hydrocarbons? Both ii and iv structures have triple and double carbon-carbon bonds respectively. Question 8. Chlorine reacts with saturated hydrocarbons at room temperature in the [NCERT Exemplar] a absence of sunlight b presence of sunlight c presence of water d presence of hydrochloric acid Answer: b Chlorine reacts with saturated hydrocarbon at room temperature in the presence of sunlight.

Question 9. In the above given reaction, alk. Question Butanone is a four carbon compound with functional group [NCERT Exemplar] a carboxylic acid b aldehyde c ketone d alcohol Answer: c In butanone, the functional group is.

Which of the following does not belong to the same homologous series? Thus, C 4 H 10 is the next member of this series. So, C 4 H 8 does not belong to the homologous series.

Which of the following are correct structural isomers of butane? Since, molecular formula is same, only structures are different. So, i and iii are isomers while structures ii and iv have molecular formulaC 4 H 8. In a soap micelle, the soap molecules are arranged readily with hydrocarbon ends directed towards the centre and ionic ends directed outwards. Oils on treating with hydrogen in the presence of palladium or nickel catalyst form fats.

This is an example of [NCERT Exemplar] a addition reaction b substitution reaction c displacement reaction d oxidation reaction Answer: a Oils are unsaturated compounds containing double bonds. Addition reactions are characteristic property of unsaturated hydrocarbons. The given reaction is an example of addition reaction. Carbon forms four covalent bonds by sharing its four valence electrons with four univalent atoms, e. Atomic number of Ne is Its electronic K L configuration is 2,8.

Therefore, after the formation of four bonds, carbon attains the electronic configuration of neon. Mineral acids are stronger acids than carboxylic acids because i mineral acids are completely ionised.

While cooking, if the bottom of the vessel is getting blackened on the outside, it means that [NCERT Exemplar] a food is not cooked completely b the fuel is not burning completely c fuel is wet d fuel is burning completely Answer: b The unburnt particles of the fuel present in smoke blacken the vessel from outside.

The reaction in which a reagent partially or completely replaces atom or group of atoms from saturated compounds or A are called B reaction. Here, A and B respectively refers to a unsaturated compounds, addition b unsaturated compounds, substitution c benzene, substitution d alkene, addition Answer: c Substitution reaction is usually given by saturated compounds and benzene.

Unsaturated compounds usually give addition reactions. Which structure do the ester compounds in the table have in common? Answer: d All esters have the common structure of carboxylic group represented by the suffix date. Carbon is an important constituent of the foods, fuels, household and commercial articles, textile fabrics, perfumes, explosives, dyes, war gases etc. Allotropes of Carbon An element, in different forms, having different physical properties but similar chemical properties is known as allotropes of that element.

Carbon has three well known allotropes which are graphite, diamond and buck minster fullerene. Fullerene: This is another class of carbon allotropes. The first one to be identified was C which has carbon atoms arranged in the shape of a football.

Since this looked like the geodesic dome designed by the US architect Buckminster Fuller, the molecule was named fullerene. Chapter 5 - Arithmetic Progressions.

Chapter 6 - Triangles. Chapter 7 - Coordinate Geometry. Chapter 8 - Introduction to Trigonometry. Chapter 9 - Some Applications of Trigonometry. Chapter 10 - Circles. Chapter 11 - Constructions. Chapter 12 - Areas Related to Circles. Chapter 13 - Surface Areas and Volumes. Chapter 14 - Statistics. Chapter 15 - Probability.

In the introduction part of ch 1 Maths Class 10 students will be reminded of what they learned in class IX about real numbers and irrational numbers.

This section gives a glimpse of what students would learn about positive numbers in the later sections of Chapter 1 Maths Class 10, i. The Fundamental Theorem of Arithmetic is based on the fact that a composite number can be expressed as a product of prime numbers, in distinct ways.

This theorem has deep and significant applications in mathematics. A lemma is a statement that is proven and acts as a stepping stone to prove other statements.

Free Skiff Plans Plywood Design Amati Model Ship Building Tools Quotation