Fun with maths
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The document contains several examples of mathematical patterns and magic tricks involving numbers. Some examples show that multiplying a number by 8 or 9 and adding a corresponding digit produces a predictable outcome. Other examples demonstrate that squaring a number produces the sum of consecutive integers up to that number. The document aims to showcase interesting mathematical properties and patterns in a fun way.
Fun with maths
- 1. Mathematical Fun Swayam Krishan 3rd A, DPS Sonipat
- 2. Amazing Maths S. No. Mathematical magic 1 1 x 8 + 1 = 9 2 12 x 8 + 2 = 98 3 123 x 8 + 3 = 987 4 1234 x 8 + 4 = 9876 5 12345 x 8 + 5 = 98765 6 123456 x 8 + 6 = 987654 7 1234567 x 8 + 7 = 9876543 8 12345678 x 8 + 8 = 98765432 9 123456789 x 8 + 9 = 987654321
- 3. Amazing Maths S. No. Mathematical magic 1 1 x 9 + 2 = 11 2 12 x 9 + 3 = 111 3 123 x 9 + 4 = 1111 4 1234 x 9 + 5 = 11111 5 12345 x 9 + 6 = 111111 6 123456 x 9 + 7 = 1111111 7 1234567 x 9 + 8 = 11111111 8 12345678 x 9 + 9 = 111111111 9 123456789 x 9 +10= 1111111111
- 4. Amazing Maths S. No. Mathematical magic 1 9 x 9 + 7 = 88 2 98 x 9 + 6 = 888 3 987 x 9 + 5 = 8888 4 9876 x 9 + 4 = 88888 5 98765 x 9 + 3 = 888888 6 987654 x 9 + 2 = 8888888 7 9876543 x 9 + 1 = 88888888 8 98765432 x 9 + 0 = 888888888
- 5. Amazing Maths S. No. Mathematical magic 1 1 x 1 = 1 2 11 x 11 = 121 3 111 x 111 = 12321 4 1111 x 1111 = 1234321 5 11111 x 11111 = 123454321 6 111111 x 111111 = 12345654321 7 1111111 x 1111111 = 1234567654321 8 11111111 x 11111111 = 123456787654321 9 111111111 x 111111111 = 12345678987654321
- 6. Amazing Maths S. No. Mathematical magic 1 1+2+1 = 4 = 22 2 1+2+3+2+1 = 9 = 32 3 1+2+3+4+3+2+1 = 16 = 42 4 1+2+3+4+5+4+3+2+1 = 25 = 52 5 1+2+3+4+5+6+5+4+3+2+1 = 36 = 62 6 1+2+3+4+5+6+7+6+5+4+3+2+1 = 49 = 72 7 1+2+3+4+5+6+7+8+6+5+4+3+2+1 = 64 = 82 8 1+2+3+4+5+6+7+8+9+7+6+5+4+3+2+1 = 81 = 92