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Number

 In our last post, we discussed maths phobia. We saw how an interesting subject slowly turned into fear for us, and how this fear passed from one generation to the next. It became so dangerous that we even started getting scared just by hearing the word maths. Let’s try to remove this phobia and begin by understanding maths. And when it comes to understanding maths, we must know the ABCD of maths. To understand maths, the very first thing we need to understand is numbers, because maths starts with numbers. So today, let’s discuss some important types of numbers. Types of Numbers 1. Natural Numbers In our daily life, we very often feel the need for counting. For example: • Counting the number of children • Counting players in a team • Counting items while shopping The numbers that help us in counting are called natural numbers. Examples: 1, 2, 3, 4, 5, … 2. Even Numbers Numbers that are completely divisible by 2 are called even numbers. This means when we divide these numbers by 2, ...
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Maths Phobia

 It would not be wrong to say that, among most people, there exists a kind of fear associated with the subject of mathematics. In the field of education, there is perhaps no phobia greater than math phobia. Who knows why the subject that is closest to our daily life is the very one we fear the most. The moment the name “mathematics” is mentioned, students begin to break into a sweat. Anyway, this phobia has existed among humans for a very long time, and it would not be wrong to say that, psychologically, it has become dominant in human DNA. Everyone panics as soon as its name is heard, while the mathematics book stands smiling in some corner, as if saying, “Look at me—my condition is still the same as it was when I was first created, because students are afraid even to touch me.” I am just like a newlywed bride. The books of other subjects weep over their condition, because they have been used so ruthlessly that their pages are dirty, worn out, and often no longer even in their pro...
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Quadratic Equations:Part2

 Finding the roots of a quadratic equation using the factorization method We take a quadratic equation: x^2 + 5x + 6 = 0 First, we check whether there is any coefficient of  x2. This means we see if any number other than 1 is multiplied with . If the coefficient of is 1, then we factor the last number (6) in such a way that the sum of the factors is 5 (or −5, depending on the sign of the middle term). Finding the Roots of a Quadratic Equation by Factorization Method We take a quadratic equation: x^2 + 5x + 6 = 0 First, we check the coefficient of x^2. If the coefficient of x^2 is 1, we factor the last term in such a way that the sum of the factors is equal to the coefficient of x. The factors of 6 are 2 and 3, and: 2 + 3 = 5 So, the equation becomes: x^2 + 3x + 2x + 6 = 0 Now taking common factors: x(x + 3) + 2(x + 3) = 0 (x + 3)(x + 2) = 0 Equating each factor to zero: x + 3 = 0 x = -3 x + 2 = 0 x = -2 Hence, the roots of the equation are: x = -3 and x = -2 When the coefficie...
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Quadratic Equation

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 Using a very easy trick, we can find the roots of any quadratic equation. First of all, we will understand the different parts of an equation. To understand the type of an equation, we must first understand the variable, because only then can we identify what type of equation it is. A variable in an equation is indicated by English letters. Most commonly, variables are represented by x and y, but we can use any letter. Variable: A variable is the part of an equation whose value is not fixed. In a quadratic equation, the power (or index) of the variable is always two. Examples: x² m², etc. General form of a quadratic equation: Here, a, b, and c are constants. The value of a is never zero. Set – A (Single Variable) 1. x^2 + 5x + 6 = 0 2. x^3 − 4x + 1 = 0 3. 2y^2 − 7y = 0 4. 5x + 9 = 0 5. 3m^2 + 2m + 1 = 0 6. a^2 = 4 7. x^2 + x^3 = 0 8. 7p^2 − 11 Practice set: Questions 1. x^2 + 5x + 6 = 0 2. x^3 − 4x + 1 = 0 3. 2y^2 − 7y = 0 4. 5x + 9 = 0 5. 3m^2 + 2m + 1 = 0 6. a^2 = 4 7. x^2 + x^...
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The Bottom Cap : Part 1

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  There was a lot of noise at school — shouts and cries that forced people to run toward the building. I too ran quickly to see what had happened. When I arrived, a crowd had gathered and I couldn’t make out the situation. As I stood there, my eyes fell on Imran — he was a teacher at that school. Imran called out; when he turned toward me his face looked terrified. I ran up to him. “What happened, brother…? Are—Da…nish…Danish…” Words were not coming out of his mouth properly. I tried to encourage him, “Don’t be afraid…what’s the matter?” He managed to say, “Danish…a fifth-grade boy…a pen’s bottom cap went into his throat…how—” Suddenly I felt a jolt. The child had been playing with a pen; the pen was in his mouth and, all of a sudden, the bottom cap lodged in his throat and he lost consciousness. “Oh my God,” I said, looking at Imran, “Take the child to the hospital quickly.” “Ha…ha…” Imran replied, trembling with panic, and hurried away. I moved closer to the unconscious c...
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The Unexpected Guest

Even though she didn't want to, Raziya made her way to the kitchen. She had been quite busy for the past week, constantly occupied with a stream of guests, her children's exams, and other tasks. Now, the guests had stopped coming, and the kids were done with their exams. This week had left her exhausted, and her body felt heavy. She had decided that all she would do now was rest, as her children and husband had gone on a picnic and wouldn't be back for at least two days. She was all alone at home. However, she forgot that she, too, gets hungry. At first, she ignored it, but her tossing and turning increased. The pangs of hunger wouldn't let her close her eyes. Finally, she lost this battle and, with slow steps, made her way into the kitchen. The kitchen was also a mess, with things scattered about. She started to wonder what she could make that would be quick and easy. But as they say, an empty stomach doesn't allow the brain to work well. She gave up the mental...
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Calculate a Percentage

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  Whether it's a boy or a girl, a child or an elder, a student or a businessman—everyone faces this word repeatedly in life. Yes, we’re talking about percentage . Whenever it comes to Maths, many people tend to have a fear of it, often trying to avoid it or look for shortcuts to get by. But the truth is, Maths is something that, even if you try to avoid, it keeps showing up at every turn in life . That’s why it's important not to run away from numbers, but to make friends with them—because these numbers can help make you number one! Today, we’ll learn how to solve percentage questions easily and effectively. How to Find 10% of Any Number Let’s understand how to find 10% of any number using a simple trick. 📝 Example: Find 10% of 54 Steps: 1.     Write the number: 54 2.     Starting from the right side , count one digit and place a decimal point after it .       So in 54 , after one digit from the right ...
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