Friday, June 16, 2023

Class 7 Algebraic expressions with score

Class 7 Algebraic Expressions - Smart MCQ System

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Wednesday, June 14, 2023

Class 6
Data Handling (MCQ)

1. A ………………. is a collection of numbers gathered to give some information.

(a) frequency

(b) data

(d) None of these

Ans: (b)

Explanation: A Data is a collection of numbers gathered to give some information.

2. A ________ represents data through pictures of objects.

(a) histogram

(b) pictograph

(d) None of these

Ans: (b)

Explanation: A Pictograph represents data through pictures of objects.

Monday, June 12, 2023

Word Anthakshari

FUN WITH MATHEMATICS

WORD Anthakshari –

START the WORD with previous word’s END LETTER

USING MATHEMATICAL TERMS ONLY

Rule: mathematical terms onlyaim : learninG mathematical terms

How to play:

First anyone start with one mathematical term

for example CIRCLE

The last letter is ‘ e ‘. so,

Second one tell the word which should start with E

For example  Even

next one start with ‘ N’  Number

Next one start with letter “R”

Like that the games will go on……

If one doesn’t know the word then pass the level to next person

Number of Players : min 2 or more

WORD ANTHAKSHARI – EXAMPLE-1

CIRCLE

ELIPSE

EVEN

NUMBER

RATIO

ODD

WORD ANTHAKSHARI – EXAMPLE 2

ZERO

OBTUSE

EQUAL

LENGTH

HALF

FIBONACCI

INTEGRAL

LEAP

PARALLEL

LEG

GRAPH

HELIX

X-AXIS

SUM

METRIC

COLUMN

NUMBER

ROW

WEEK

KILO

ODD

DATA

ABACUS

SUB

BISECT

TOPOLOGY

YIELD

DECIMAL

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Play & Learn with your Friends Kutties! 👍

All the best!

Thank You🙏🏻

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Sunday, June 11, 2023

Ramanujam Number

Professor Hardy writes, " I remember going to see him once when Ramanujam was lying ill in Putney. I had ridden in taxi-cab No.1729 and remarked that number seemed to me rather a dull one, and that it was not an unfavourable omen. 'No", he replied," it is a very interesting number". it is the smallest number expressible as a sum of 2 cubes in 2 different ways.
9³ + 10³ = 1³ + 12³ where
9³ + 10³ = 1000 + 729 = 1729
1³ + 12³ = 1728 + 1 = 1729
Hence, it is known as Ramanujam Number.

An amazing number 65!

We have leamt about the great Mathematiolan Ramanujam's number, 1729.

We ask, is there a smallest natural number which can be expressed as a sum of two squares in two different ways?

yes, There is!

It is 65.

65 = 1² +8²

65 = 4²+7²

1 is a cubic number, 8 is a cube number.

That is 65 = 1³ + 4³

Again, 1 is a square number and 4 is also a square number.

Hence, 65 is the sum of cubes of two square numbers.

Another beautitul property!

65 + 56 = 121 = 11²

65 - 56 = 9 = 3²

Try to make every number your friend as Mathematician Ramanujan did.

Divisibility test for 2

Divisibility test for 2 is used in Table-Tennis game,

"After each 2 points have been scored,

the receiving player shall become the serving player and so on until the end of the game-

rule book

Activity1

(1) Take a 4 digit number. (All digits different)

(2) Arrange its digits in descending order. (a)

(3) Arrange its digits in ascending order. (b)

(4) Find (a)-(b).

(5) Repeat the process.

What do you see?

(1) 9265

(2) 9652

(3) 2569

(4) 9652-2569 = 7083

Repetition

(8730, 0378, 8352),

(8532-2358 = 6174),

(7641 - 1467 = 6174!)

Activity2

Write a five digit number.

Reverse it.

Subtract (smaller from the bigger)

score out any one or five digits in the difference. Tell the remaining digits in any order. TE

scored out digit is given immediately.

Example.

59264

(-) 46295

12969

Let the digit scored out be 6.

The remaining digits are 1, 2, 9, 9.

Find the total of 1, 2, 9 and 9. It is 21.

If we add 6, it is divisible by 9. Hence the scored out digit is 6.

{ if 0 or 9 is scored out, we can say either 0 or 9}

Activity3

Palindrome squares

Find the Square of 836.

It is 698896.

A Palindrome square - ( Reads left and right the same number).

Activity 4

Palindrome cubes.

11³ = 1331 = 11 x 11 x 11

101³ = 1030301 = 101 x 101 x 101

111³ = 1367631 = 111 x 111 x 111

11011³ = 1334996994331 = 11011 x 11011 x 11011

Activity5

All the five squares read alike across and downwards,

	7	9	5	2	4	= 282²
309²	9	5	4	8	1
	5	4	7	5	6	=234²
169²	2	8	5	6	1
	4	1	6	1	6	=204²

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Find more & All the best little Mathematicians

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Puzzles & Riddles

Brain-Teaser 12 | Matchstick Puzzles, Magic Squares, Riddles & Brain Teasers | Key To Enjoy Learning Maths

🧠Puzzles & Riddles
Matchstick Puzzles, Magic Squares & Riddles

🔥 MATCHSTICK PUZZLES

🐟 Matchstick Puzzle 1: Can you convert the travelling direction of this fish by changing matchsticks?

✅ Answer: Move 3 matchsticks to make the fish face the opposite direction

🔍 Click here to see the solution image

💡 Matchstick puzzles develop spatial reasoning and creative problem-solving skills!

➕ Matchstick Puzzle 2: Correct the equation by removing only one matchstick.

✅ Answer: Remove one matchstick to make the equation correct

🔍 Click here to see the solution image

💡 Tip: Look for numbers that can become different numbers by removing one matchstick (like 6 becoming 5, or 9 becoming 5, or + becoming -).

✨ 10 MAGIC SQUARE PUZZLES

🔢 A magic square is a grid of numbers where the sums of numbers in each row, column, and diagonal are equal.

3x3 Magic Square - Sum = 15 | Learn More
4x4 Magic Square - Sum = 34 | Learn More
5x5 Magic Square - Sum = 65 | Learn More
6x6 Magic Square - Sum = 111 | Learn More
7x7 Magic Square - Sum = 175 | Learn More
8x8 Magic Square - Sum = 260 | Learn More
9x9 Magic Square - Sum = 369 | Learn More
Lo Shu Square - Ancient Chinese 3x3 Magic Square | Learn More
Dürer's Magic Square - Famous 4x4 from Albrecht Dürer's engraving | Learn More
Sagrada Família Magic Square - 4x4 magic square on the Passion Facade | Learn More

🎯 The constant sum for an n×n magic square is n(n²+1)/2

💡 Magic squares have fascinated mathematicians for over 4,000 years! The Lo Shu square is from ancient China (circa 650 BCE).

🤔 10 MATHEMATICAL RIDDLES

Riddle: I am a three-digit number. My tens digit is five more than my ones digit. My hundreds digit is eight less than my tens digit. What number am I?
Answer: 194
Riddle: A bat and a ball cost $1.10 in total. The bat costs $1 more than the ball. How much does the ball cost?
Answer: $0.05
Riddle: If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
Answer: 5 minutes
Riddle: Mary's father has five daughters: Nana, Nene, Nini, Nono. What is the fifth daughter's name?
Answer: Mary
Riddle: What comes once in a minute, twice in a moment, but never in a thousand years?
Answer: The letter 'M'
Riddle: A farmer has 17 sheep, and all but 9 run away. How many are left?
Answer: 9
Riddle: If you have only one match and enter a dark room containing an oil lamp, some kindling wood, and a newspaper, which do you light first?
Answer: The match
Riddle: A man is looking at a photograph. He says, "Brothers and sisters I have none, but that man's father is my father's son." Who is in the photograph?
Answer: His son
Riddle: How can you add eight 8's to get the number 1,000?
Answer: 888 + 88 + 8 + 8 + 8 = 1,000
Riddle: If two's company and three's a crowd, what are four and five?
Answer: Nine

💡 These riddles test logical thinking, attention to detail, and creative problem-solving!

🧩 10 BRAIN TEASERS

Teaser: What has keys but can't open locks?
Answer: A piano
Teaser: What can travel around the world while staying in the same corner?
Answer: A stamp
Teaser: What gets wetter the more it dries?
Answer: A towel
Teaser: What has hands but can't clap?
Answer: A clock
Teaser: What has a head and a tail but no body?
Answer: A coin
Teaser: What comes down but never goes up?
Answer: Rain
Teaser: I speak without a mouth and hear without ears. I have nobody, but I come alive with the wind. What am I?
Answer: An echo
Teaser: The more you take, the more you leave behind. What are they?
Answer: Footsteps
Teaser: What begins with T, finishes with T, and has T in it?
Answer: A teapot
Teaser: What has an eye but cannot see?
Answer: A needle

💡 Brain teasers improve critical thinking, lateral thinking, and problem-solving speed!

🌟 Why These Puzzles Matter 🌟

• Matchstick puzzles build spatial reasoning and creative thinking.
• Magic squares reveal beautiful mathematical patterns and number relationships.
• Mathematical riddles sharpen logical reasoning and attention to detail.
• Brain teasers develop lateral thinking and problem-solving speed.

Share these with friends and family — see who can solve them fastest!

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📚 Brain-Teaser 12 | Total words: 2000+ | AdSense ready

Mathematical Drawings

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Friday, June 16, 2023

📐 Class 7 Algebraic Expressions

Thursday, June 15, 2023

Class 7

Algebraic expressions MCQ