Every number that is not a prime can be written as a product of primes. For example: 12 can be written as 2 x 2 x 3. Prime numbers are the building blocks of all integers in mathematics. While prime numbers seem to be randomly distributed on the number line, there are different patterns in […]
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This world is full of beautiful numbers. But, why are prime numbers intriguing? In this chaotic world, matter made up of prime numbers forms a stable entity. 2,3,5,7,11 and so on are the stable entities amongst their unstable composite numbers such as 6, 16, 32, and so on which can always break into multiples. Therefore,
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Let’s start the post with the “3n+1” problem. Introducing the “3n+1” Problem Do the above steps for any number that you randomly choose repeatedly and you will end up at ‘1’. For example: take 12 as a chosen number For example: take 13 as a number Why study Number Theory? Long before we had computers,
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It is one of the most commonly used formulae in mathematics. We all know that the are of a circle is pi*r^2. But, why is it pi*r^2? Imagine a circle with multiple spokes with each spoke length being ‘r’, and the distance between the spokes is ‘x’. It becomes a tiny triangle with ‘r’ as
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Look around, and you will see tons of circular objects. The simple reason is they are symmetric, proportionate, and the most easy to handle. Circular objects can be moved from one place to another just by rolling. But, why is it that a circle is round and why are circular or round objects easy to
Why are circular objects the easiest to move? Why are the wheels round? Read More »
Graph papers are an ever present thing when you’re learning mathematics as a young student. Also called as Grid Paper or Squared Paper, a Graph Paper is a writing paper printed with fine lines, vertical and horizontal, making up a grid of numerous squares. Graph papers are available as books or even as loose sheets
The Kangaroo Mathematics Exam is an international competition held in 92 countries for Grade 1 to Grade 12. The competition is hosted by different countries each year and checks the student’s application of knowledge in mathematics across levels. Below are some sample questions for Grade 3. Question 1: Fred wants to cut two identical shapes
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Ratio and Proportion are used for comparison in mathematics. Ratio is a comparison of two quantities while Proportion is a comparison of two ratios. A ratio is a comparison of two quantities that have the same units. You can express a ratio in any one of the following ways – 20/3
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Percentages are a very commonly used math in the real world. These worksheets to practice calculating the percentage of whole numbers and decimals, finding the percentage increase or decrease, and more.Calculating the percentage value of a number involves a little bit of multiplication. One should be familiar with decimal multiplication and decimal place value before
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The word trigonometry comes from “trigonon” meaning triangle and “metry” meaning measurement. It is an area of math that studies the relationships between sides of triangles.. Ancient Egyptians have known theorems around similar triangles for ages and it is said that construction of pyramids use a form of trigonometry. Trigonometry was historically used in astronomy
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