49ja Tricks Pdf. 10 Math Tricks That Will Blow Your Mind

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The objective of the math game we started last time was to figure out what happens when we add up positive odd integers. But so what?bit.ly Why did we do this?

Namely, can you find a pattern in the sequence? And if you can find a pattern, can you also figure out why that pattern exists? What Are Patterns in Numbers? The truth is that it takes time and practice to develop an eye for this sort of thing. The first thing you might notice about the sequence 1, 4, 9, 16, 25, 36, 49 is that the numbers all keep getting bigger and bigger.

Is that a pattern? But is it an interesting pattern? In this case, not really. After all, we created the sequence in the first place by adding larger and larger positive integers together. So the sum absolutely has to keep getting larger as well. How about the differences between the numbers? In other words, do you get the same number every time you subtract one number in the sequence from the next?

Or maybe you get some other interesting result? Which brings us to an important lesson: Math is a process that should be full of silly missteps. But trying wrong things is the first step in discovering right things. So what else can we find? Trying wrong things is the first step in discovering right things.Welcome to Sharpest Arena, the number one betting tutorial site that help thousands of bettors and gamblers everyday to make winning. You will see how to calculate sets of numbers that will predict the right color for you to play and same thing as betzero and dragon.

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Convert naira to your Currency. Wapjotter1 gmail. If you have any question, kindly drop it down below. Choose Your Language. Follow by Email Get all latest content delivered straight to your inbox. Footer Menu Widget. Social Footer Widget.Quantitative Aptitude or Numerical Ability section does not need any introduction.

Lakhs and Lakhs of candidates appear in this exams every year. To get your desired job in this pool of competition, your approach should be unique and different. To help you with that, Here we bring you Short Maths Tricks PDF available for free download, which will make your preparation comprehensive and calculations faster. Short tricks reduce the time taken to solve a question to almost a quarter of the initial time. Download More Free eBooks Here. Step 1: Click on the below-given download link.

Click on the download button and you will be able to access the PDF. To calculate the distance between 2 points when an object is traveling to and fro from one point to another, and just the speed and time taken is given, you can use the below formula directly to calculate the distance. If a number is given to be multiplied by 11, you can use the following method to calculate the answer. Ans: If you go by the regular formula you might not be able to do it .

If a loan is taken for more than 1 year and the rate of interest in varying for different years, you can directly use the formula given here to calculate the answer. What is the total amount that has to be paid at the end of 3 years? Put the values and get the answer. Repeat it for any other similar case. Leave a comment Cancel reply Comment Name Email.Follow our steps to know where to begin and end. Every step in between also leads you towards your desired score!

Every year more than 5 million students take this exam in countries and the number keeps on increasing. IELTS helps millions of people every year to study abroad and migrate to English speaking countries and take advantage of having a professional life.

In part 1 of the speaking test, the examiner will introduce himself or herself What could be better than preparing yourself for your exam by reading model answers Buy our:.

Browse by Test types Academic General Training. Best Seller. Buy Ebooks. Subscribers 74, Motivating Students to Achieve Their Goals. Write Exam Every year more than 5 million students take this exam in countries and the number keeps on increasing.

Fly Abroad IELTS helps millions of people every year to study abroad and migrate to English speaking countries and take advantage of having a professional life. Featured Posts. Read More. Looking for free study abroad counselling?

Which city are you from. Looking for Study Abroad Loan Assistance. Proceed to continue. What is your highest level of completed education? When was your last level of education completed? Select Year When do you plan to study?

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Select Year Later. Have you taken any Study Abroad exam? GMAT Marks SAT Marks It was developed by Spencer Kimball and Peter Mattis inand the first version 0. As of the current version 2. It rivals all the top dogs on the market today. Here are a few user tips to get you started, whether you're a rookie or a pro. Who has time to read the tutorials?

While I advise you to review them all, these two including one from another site will get you started:. If Photoshop and its keyboard shortcuts are part of your muscle memory, you can reassign the GIMP shortcut keys to match Photoshop's. Notice that some of the shortcut keys are the same in both programs such as Copy, Cut, Paste, etc.

The cursor changes into the crosshairs symbol, but before you can use it, ensure that Move the Active layer is checked in the Move panel on the left side of the screen. Then click and drag.

Now the object you created or selected from the photograph resides in its own layer, so you can change the color, resize it, add a filter, or edit it in a hundred different ways. Of course, the colors in photographs are rarely that basic. If the sunflower has white streaks and the background is white, using the Fuzzy Select tool called the Magic Wand in Photoshop will be harder because it will select the white background AND the white streaks in the sunflower.

You can start with the Fuzzy Select tool, then fine-tune the selection with the Free Select tool called the Polygonal Lasso in Photoshop. Hold down the Shift key to add to your selection.

This is one of the most important photo tips, because everybody who prints digital photos must understand how to resize them.

Most digital cameras shoot photos at a low resolution such as 72,or ppi pixels per inchunless you access the Settings menu and change it to a higher resolution setting such as to ppi. The larger the photo, the higher the ppi must be to avoid losing image quality. Generally, ppi is adequate for an 11x14 print. Larger sizes would need more pixels. If you uncheck the Resample Image box, you can change the 72 ppi to ppi, and the physical image size will automatically change to match the new ppi.

This method preserves the image quality. To automatically adjust the physical image size when the ppi changes, choose NoHalo from the Interpolation field. First, change the pixels to inches, then choose NoHalothen enter in the X Resolution field box. All the other relevant fields change automatically to maintain the image quality.

JD Sartain is a technology journalist from Boston. Read our affiliate link policy for more details.As time goes by, CSS is becoming more and more powerful and nowadays it offers lots of possibilities to create visually stunning websites.

This article is a compilation of fresh, advanced CSS tips and techniques to master your web design and front-end web development skills. Each technique features sample code snippet, demo, and explanations. Centering a text or element vertically has always been quite a pain for many front-end developers. Click here to view a demo of this technique.

Source: WebDevBlog. Note the use of the background-size property, which is used to scale the background image to fit the container size. Source: Web Designer Depot. The transition property allows front-end web developers to create smooth and visually appealing hover effects on links or any other element.

This technique can be used to create much more advanced hover effects. Using transitionyou can animate many properties width, height, background, etc of a given element. A decade ago, the only way a web designer or web developer could create a gradient background was to use Photoshop to create an image, which was then displayed on a website using the background-image property. The linear-gradient function creates a linear gradient and defines it as the background image for body.

The function takes 3 arguments: a direction or an angle, and 2 color stops. Click here to access the demo for this technique. Source: DevHints.bit.ly As ofCSS animations are supported by all browsers. Check out the demo or have a look at the following code:.

As you can see, the code starts by keyframes example : This creates an animation that can be applied to any HTML element. On lines 10 and 11, you can spot the use of animation-name which specifies which animation to use, and animation-duration which defines for how long the animation should run. Once the animation is finished, the element changes back to its normal state. For advanced CSS animations examples, I recommend this collection which features beautiful web design trends and various animation tips and tricks.

Using some advanced CSS, it is possible to style broken images and provide custom error messages to your visitors. This example makes use of the :before and :after pseudo-classes, which are used to display error messages to the end user.

The attr CSS function is used to return the value of the src property, thus displaying the faulty url. Source: BitsOfCo.

Web designers and front-end web developers often encounter this common problem: A text is too big for its container. Using CSS, this problem can easily be fixed. The class defines a fixed width and prevents the text from overflowing the container. On line 5, text-overflow: ellipsis; automatically adds ellipsis at the end of the text in order to indicate that it has been truncated. Click here to see this technique in action. Source: Chris Coyier. A strong point of CSS preprocessors is the possibility of using variables to create re-usable values and avoid code redundancy.

Variables are declared by giving them a name preceded by two dashes. In this example, the main color, main background color, and base padding are declared. When wanting to use a previously created variable, use the var function as shown on lines 8 to Click here to view the live demo of this technique. Smart quotes are an integral part of beautiful typography and modern web design, as they provide readability and better user experience.Are you ready to give your mathematics skills a boost?

These simple math tricks can help you perform calculations more quickly and easily. They also come in handy if you want to impress your teacher, parents, or friends. If you multiply 6 by an even number, the answer will end with the same digit.


The number in the ten's place will be half of the number in the one's place. The order in which you do the division is unimportant! The answer is the three-digit number. Examples: gives you or gives you The result will be a six-digit number that repeats the three-digit number. Example: becomes This is a quick way to multiply two-digit numbers by 11 in your head. To remember the first seven digits of picount the number of letters in each word of the sentence:.

The number will contain the digits 1, 2, 4, 5, 7, and 8. Example: The number 6 yields the answer To easily multiply two double-digit numbers, use their distance from to simplify the math:.

You've got pieces of pizza and want to know whether or not you can split them evenly within your group. Rather than whip out the calculator, use these simple shortcuts to do the math in your head:. Example: The slices of pizza may be evenly distributed into groups of 2, 3, 6, Everyone knows you can count on your fingers.

Best Shortcut Tricks For Percentage Problems [PDF]

Did you realize you can use them for multiplication? A simple way to do the "9" multiplication table is to place both hands in front of you with fingers and thumbs extended. To multiply 9 by a number, fold down that number finger, counting from the left.

Examples: To multiply 9 by 5, fold down the fifth finger from the left. Count fingers on either side of the "fold" to get the answer. In this case, the answer is To multiply 9 times 6, fold down the sixth finger, giving an answer of Share Flipboard Email. Anne Marie Helmenstine, Ph. Chemistry Expert.bit.ly Helmenstine holds a Ph. She has taught science courses at the high school, college, and graduate levels. Facebook Facebook Twitter Twitter. Updated April 05, Cite this Article Format.

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