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STATISTICS | SPEED NOTES | CBSE | CLASS 10 | MATHEMATICS
When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$ <math...
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TRIANGLES | SPEED NOTES | MATHEMATICS | CBSE | CLASS 9
TRIANGLES | SPEED NOTES | MATHEMATICS | CBSE | CLASS 9 TRIANGLES | CHAPTER NOTES Similar Geometric Figures: Two geometric figures which...
TRIANGLES | SPEED NOTES | MATHEMATICS | CBSE | CLASS 10
Pre-Requisites BASICS OF TRIANGLES Similar Geometric Figures: Two geometric figures which are same in shape, such that one is simply a...
CIRCLES | SPEED NOTES | MATHEMATICS | CBSE | CLASS 9
Introduction to Circles There are many objects in our life which are round in shape. A few examples are the clock, dart board, cartwheel,...
CIRCLES | | SPEED NOTES | MATHEMATICS | CBSE | CLASS 10
Pre-Requisites Circle: Circle is a round shaped figure has no corners or edges. A circle is the locus of all points in a plane which are...
THEORITICAL PROBABILITY | SPEED NOTES | MATHEMATICS | CBSE | CLASS 10
Probability: Probability is a measure of uncertainity (an event may happen or may not happen). Probability is classified into the...
EMPIRICAL PROBABILITY | SPEED NOTES | MATHEMATICS | CBSE | CLASS 9
Probability Probability is the study of the uncertainty. The uncertainty of any doubtful situation is measured by means of Probability....
INTRODUCTION TO TRIGONOMETRY | SPEED NOTES | CBSE | CLASS 10 | MATHEMATICS
IMPORTANT DEFINITIONS AND FORMULAE An angle is positive if its rotation is in the anticlockwise and negative if its rotation is in the...
SOME APPLICATIONS OF TRIGONOMETRY | SPEED NOTES | CBSE | CLASS 10 | MATHEMATICS
SOME APPLICATIONS OF TRIGONOMETRY | CHAPTER NOTES Introduction : One of the main applications of trigonometry is to find the distance...
EXPONENTS AND POWERS | SPEED NOTES | MATHEMATICS | CBSE | CLASS 7
Chapter –13 Exponents and Powers Exponents: Exponents are used to express large numbers in shorter form to make them easy to read,...
ALGEBRAIC EXPRESSIONS | SPEED NOTES | MATHEMATICS | CBSE | CLASS 7
Chapter –12 Algebraic Expressions Algebraic expressions are formed from variables and constants. We use the operations of addition, ...
VISUALISING SOLID SHAPES | SPEED NOTES | MATHEMATICS | CBSE | CLASS 7
Chapter –15 Visualising SolidShapes The circle, thesquare, the rectangle, the quadrilateral and the triangle are examples of plane...
PERIMETER AND AREA | SPEED NOTES | MATHEMATICS | CBSE | CLASS 7
Chapter –11 Perimeter and Area Perimeter is the distance around a closed figure whereasarea is the part of plane occupied by the...
PRACTICAL GEOMETRY | SPEED NOTES | MATHEMATICS | CBSE | CLASS 7
Chapter –10 Practical Geometry In thisChapter, we looked into the methods of some rulerand compasses constructions. Given a line l and a...
RATIONAL NUMBERS | SPEED NOTES | MATHEMATICS | CBSE | CLASS 7
Chapter – 9 Rational Numbers Rational Number: A number that can be expressed in the form 14. Every positive rational number is greater...
COMPARING QUANTITIES | SPEED NOTES | MATHEMATICS | CBSE | CLASS 7
Comparing Quantities: Weare often requiredto compare two quantities, in our dailylife. They may be heights, weights, salaries, marks etc....
CONGRUENCE OF TRIANGLES | SPEED NOTES | CBSE | MATHEMATICS | CLASS 7
Chapter – 7 Congruence of Triangles SSS Congruence of two triangles: Under a given correspondence, two triangles are congruent if the...
THE TRIANGLE AND ITS PROPERTIES | SPEED NOTES | CBSE | CLASS 7 | MATHEMATICS
Chapter –6 The Triangle and its Properties Triangles: A closed plane figure bounded by three linesegments. The six elements of a triangle...
LINES AND ANGLES | SPEED NOTES | CBSE | MATHEMATICS | CLASS 7
Class 7 Important Formulas Chapter 5– Lines and Angles We recall that (i) A line-segment has two end points. (ii) A ray has only one...
SIMPLE EQUATIONS | SPEED NOTES | CBSE | MATHEMATICS | CLASS 7
CHAPTER – 4 SIMPLE EQUATIONS An equation isa condition ona variable suchthat two expressions in the variable should have equalvalue....
DATA HANDLING | SPEED NOTES | CBSE | MATHEMATICS | CLASS 7
The collection, recording and presentation of data help us organiseour experiences and draw inferences from them. Before collecting data...
FRACTIONS AND DECIMALS | SPEED NOTES | CBSE | MATHEMATICS | CLASS 7
4. A fraction whose numerator is less than the denominator is called a proper fraction. 5. A fraction whose numerator is more than or...
INTEGERS | SPEED NOTES | CBSE | MATHEMATICS | CLASS 7
CHAPTER – 1 Integers Integers are a bigger collection of numbers which is formed by whole numbers and their negatives. You have...
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