MATRIX

Link for videos

https://youtu.be/x0IaGTzYogU
https://youtu.be/KfRzzPlOpnE
https://youtu.be/PqobOjdYyBU
https://youtu.be/IRlO0SL4-ns
https://youtu.be/C7D36h_0Zlw

Educational websites

https://www.geeksforgeeks.org/matrix-introduction/
https://courses.lumenlearning.com/boundless-algebra/chapter/introduction-to-matrices/
https://en.m.wikipedia.org/wiki/Matrix_(mathematics)
https://www.mathstips.com/matrix-introduction/
https://www.onlinemathlearning.com/matrices-types.html

  MATHS FACTS

A pizza that has radius "z" and height "a" has volume Pi × z × z × a.

Because the area of a circle is Pi multiplied by the radius squared (which can be written out as Pi × z × z). Then you multiply by the height to get the total volume 

The word hundred is derived from the word "hundrath", which actually means 120 and not 100.

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                    MATHS FACTS

1. If you write out pi to two decimal places, backwards it spells "pie".

3.14 = PIE.

2. A French word for pie chart is "camembert".

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3. The spiral shapes of sunflowers follow a Fibonacci sequence.

That's where you add the two preceding numbers in this  equence to give you the next one. So it starts 1, 1, 2, 3, 5, 8, 13, 21, etc. The Fibonacci sequence shows up in nature a fair bit.

10 Facts about maths

If you were to play a word association game with a school-aged child, you’d be pretty unlikely to get a response of ‘cool’ when you asked them what word first came into their mind when you said ‘maths’. Despite what some people may tell you, maths is far from dull. On the contrary, there are plenty of fun and strange maths-related facts out there that will fascinate children of all ages. To prove this, we’ve compiled a list of 20 cool facts about maths which we encourage you to share with the children in your life.

1. The word “hundred” comes from the old Norse term, “hundrath”, which actually means 120 and not 100.

2. In a room of 23 people there’s a 50% chance that two people have the same birthday.

3. Most mathematical symbols weren’t invented until the 16th century. Before that, equations were written in words.

4. “Forty” is the only number that is spelt with letters arranged in alphabetical order.

5. Conversely, “one” is the only number that is spelt with letters arranged in descending order.

6. From 0 to 1000, the only number that has the letter “a” in it is “one thousand”.

7. ‘Four’ is the only number in the English language that is spelt with the same number of letters as the number itself.

8. Every odd number has an “e” in it.

9. The reason Americans call mathematics “math”, is because they argue that “mathematics” functions as a singular noun so ‘math’ should be singular too.

10. Markings on animal bones indicate that humans have been doing maths since around 30,000BC.

 

Medium Mathematical Puzzles - 1

Mathematical Puzzles form an essential part of many competitive exams. One of the most commonly asked questions is based on arithmetic puzzles. Another important type of question features in form of number puzzles. Here is a compilation of the various types of medium-level mathematical puzzles with answers and explanations. Each article features a set of 10 math brain teasers to evaluate your level of preparation. 

Practice these mathematical puzzles and check your aptitude:

Q.1. In a swimming competition that went on for n successive days (n>1), m medals were awarded.

1. medal and 1/9 of the remaining (m – 1) medals were awarded on the first day.
2. medals and 1/9 of the now remaining medals was awarded on the second day; and so on
3. The remaining n medals were awarded, on the nth and last day.
   If same number of medals were awarded daily, how many days did the contest last, and how many medals were awarded altogether?
   
   Total 64 medals were awarded and the contest was for 8 days.
   On day 1: Medals awarded = (1 + 63/9) = 8 : Remaining 56 medals
   On day 2: Medals awarded = (2 + 54/9) = 8 : Remaining 48 medals
   On day 3: Medals awarded = (3 + 45/9) = 8 : Remaining 40 medals
   On day 4: Medals awarded = (4 + 36/9) = 8 : Remaining 32 medals
   On day 5: Medals awarded = (5 +27/9) = 8 : Remaining 24 medals
   On day 6: Medals awarded = (6 + 18/9) = 8 : Remaining 16 medals
   On day 7 : Medals awarded = (7 + 9/9) = 8 : Remaining 8 medals
   On day 8, the remaining 8 medals are awarded  
4. Q.2. There is banana shake in yellow colored glass and apple juice in a white colored glass, both containing equal volumes of shake and juice. 100ml of banana shake is taken and poured into the white glass. After that similarly, 100 ml from the white glass is poured into the yellow glass. Of the two quantities, the amount of apple juice in the yellow glass and the amount of banana shake in the white glass, which one is greater and by how much?
5. The two quantities are equal.
   Let's assume that both glasses contain 900 ml of liquid each. Now, 100ml of the banana shake is taken and poured into the White glass. Hence, yellow colored glass contains 800 ml of banana shake and white glass contains 900 ml of Apple juice and 100 ml of banana shake i.e. total of 1000 ml. Similarly, 100 ml of juice from white glass is poured into yellow glass. Now this 100 ml is not a pure apple juice. It contains 90 ml of apple juice and 10 ml of banana shake. Hence, yellow glass contains 810 ml of banana shake and 90 ml of Apple juice. Similarly, white glass contains 810 ml of apple juice and 90 ml of banana shake.
   Now it is clear that the amount of apple juice in the yellow glass and the amount of banana shake in the white glass are the same.

How to operate computer

How To Operate A Computer and Why it is Important To Learn

In today’s day and age the computer is a permanent fixture to your home and business. It is your window to a larger world, or a box that confines you. Understanding how to operate a computer correctly and efficiently does not only give you access to all of the information at the ends of the earth, but will open doors for you in your work life, social life, and love life. For this You will need to understand computer 

Outcomes

By the end of this course, you should be able to:

• appropriately start up and shut down your computer
• navigate the operating system and start applications
• perform basic functions of file management
• perform basic functions in a word processor and spreadsheet
• manage print settings and print documents
• receive and send emails
• use a web browser to navigate the Internet.

Content

Hardware and software

• The main components of a computer, including input and output devices
• The function of communication devices such as smartphones and tablets
• The role of Operating Systems, programs and apps

Windows

• Turning on the computer and logging on
• The Windows screen
• Running programs from the Start Menu
• Minimising, maximising, moving, resizing and closing windows
• Logging off and shutting down your computer

Working with programs

• Running multiple programs
• Desktop icons and creating a desktop shortcut
• Managing programs from the taskbar
• Closing programs

File management

• Managing Windows Explorer
• Creating, moving, renaming and deleting folders and files
• Understanding file extensions
• Viewing storage devices and network connections
• Managing USB flash drives

Word processing

• Creating documents in Microsoft Word
• Typing text, numbers and dates into a document
• Easy formatting
• Checking the spelling in your document
• Making and saving changes to your document

Spreadsheets

• Understanding spreadsheet functionality
• Creating spreadsheets in Microsoft Excel
• Typing text numbers and dates into a worksheet
• Easy formulas
• Easy formatting
• Charting your data
• Making and saving changes to your workbook
• Printing a worksheet

Printing

• Print preview
• Print settings
• Managing the print queue

Using email

• The Outlook mail screen elements
• Composing and sending an email message
• Managing the Inbox

Accessing the internet

• Going to a specific website and bookmarking
• Understanding how to search/Google effectively
• Copy and paste Internet content into your documents and emails
• Stopping and refreshing pages
• Demystifying the Cloud
• Understanding social media platforms such as Facebook and Twitter
• Computer security best practices

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