Interesting Facts about Maths
91 likes110,541 views
This document presents several mathematical facts and tricks. Some examples include: Armstrong numbers where the sum of each digit raised to the power of the number of digits equals the number; vampire numbers where parts of the number multiplied equal the full number; and tricks for multiplying by 11 or calculating squares ending in 5 quickly. Puzzles involving measuring water quantities and crossing a bridge within a time limit are also presented. The document aims to showcase interesting properties and relationships in numbers.
Interesting Facts about Maths
- 1. MAGICAL FACTS ABOUT MATH PRESENTED BY: NEHA SHARMA TAFADZWA GONERA
- 2. ARMSTRONG NUMBER 153 is an Armstrong number because 153=1³+5³+3³ Some other Armstrong numbers are: 370,371,407
- 3. STRANGE FACTS ABOUT 666 666=6³+6³+6³+6+6+6 666=2²+3²+5²+7²+11²+13²+17²
- 4. VAMPIRE NUMBERS 1260 is a vampire number With 21 and 60 as fangs Since 21 × 60 = 1260. Others are: 1395=15 × 93 1435=41 × 35 1530=51 × 30
- 5. Numeric Palindrome with 1's 1x1=1 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = 123454321 111111 x 111111 = 12345654321 1111111 x 1111111 = 1234567654321 11111111 x 11111111 = 123456787654321 111111111 x 111111111 = 12345678987654321
- 6. Sequential Inputs of 9 9 x 9 = 81 99 x 99 = 9801 999 x 999 = 998001 9999 x 9999 = 99980001 99999 x 99999 = 9999800001 999999 x 999999 = 999998000001 9999999 x 9999999 = 99999980000001 99999999 x 99999999 = 9999999800000001 999999999 x 999999999 = 999999998000000001
- 7. Number 2519 2519 Mod 2 = 1 2519 Mod 3 = 2 2519 Mod 4 = 3 2519 Mod 5 = 4 2519 Mod 6 = 5 2519 Mod 7 = 6 2519 Mod 8 = 7 2519 Mod 9 = 8 2519 Mod 10 = 9
- 8. Trick Step1: Think of a number below 10. Step2: Double the number you have thought. Step3: Add 6 with the getting result. Step4: Half the answer, that is divide it by 2. Step5: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.
- 9. ANSWER IS 3 FOR THE TRICK
- 10. RULE 11 To multiply any two digit number by 11: For this example we will use 54. Separate the two digits in you mind (5__4). Notice the hole between them! Add the 5 and the 4 together (5+4=9) Put the resulting 9 in the hole 594. That's it! 11 x 54=594
- 11. RULE 11 If the result of the addition is greater than 9 You only put the "ones" digit in the hole and carry the "tens" digit from the addition. For example 11 x 57 ... 5__7 ... 5+7=12 ... put the 2 in the hole and add the 1 from the 12 to the 5 in to get 6 for a result of 627 ... 11 x 57 = 627
- 12. MAGIC OF NUMBER 9
- 13. MAGIC OF NUMBER 9
- 14. MAGIC OF NUMBER 9
- 15. SNAKE EATS ITS OWN TAIL • Choose any two digits number and for each one reverse the digits and subtract the smaller number from the larger. • In each case the difference is divisible by 9 and the sum of the digits of the difference is always 9.
- 16. Age Calculation Tricks: Step1: Multiply the first number of the age by 5. Step2: Add 3 to the result. Step3: Double the answer. Step4: Add the second digit of the number with the result. Step5: Subtract 6 from it.
- 17. TO FIND THE REMAINDER
- 18. PUZZLE You are at a fountain and have with you a three gallon jug and a five gallon jug. The jugs have no markings on the sides. How would you be able to measure out exactly one gallon of water?
- 19. SOLUTION First, fill up the 3 gallon jug to the top, and pour it into the 5 gallon jug. 5 - 3 = 2 free gallons left in the 5 gallon jug. Now, fill up the 3 gallon jug again, and pour as much as you can into the 5 gallon jug. 3 - 2 = 1 gallon of water left in the 3 gallon jug. Finally, pour the remaining gallon of water from the 3 gallon jug into your 1 gallon jug. Result = 1 gallon of water!
- 20. EASY SQUARING If you want to find the square of 45. You will first have to multiply 4 (4 +1), that is 4 X 5, which is equal to 20 Then multiply 5 with 5, which is 25. The answer is 2025. Now, you can employ this method to multiply all numbers ending with 5.
- 21. Bridge Crossing Puzzle: A, B, C and D wants to cross the bridge at night. They have only one torch light with them. Only two can cross the bridge at a time. They need torch light to cross the bridge. Each of them walks at a different speed. A needs 1 minute, B needs 2 minutes, C needs 5 minutes and D needs 10 minutes. A pair must walk together at the rate of the slower person. How these people can cross the bridge within 17 minutes?
- 22. Solution: First A and B walks across the bridge, it takes 2 minutes. A walks back with the torch light, which takes 1 minute. Then C and D walk on the bridge, which takes 10 minutes. B comes back with the torch light, it takes 2 minutes. Finally A and B walks across the bridge, which takes 2 minutes. Total = 2 + 1 + 10 + 2 + 2 = 17 minutes.
- 23. FINGER MATH FOR 9 TABLE
- 24. ANY QUESTION Visit WWW.GOOGLE.COM Otherwise you can ask us!!