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Special Numbers Stage 4 Year 7 Press Ctrl-A ©2009 – Not to be sold/Free to use

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2 Palindromic Numbers Palindromes are numbers or words that are the same backwards as forwards. Examples madam Mum Dad Hannah toot 1221 100001 12.21 1991 11/1/11 42

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3 Palindromic Words What about? REVIVER ROTATOR LEPERS REPEL MADAM I’M ADAMSTEP NOT ON PETS NO LEMONS, NO MELON DENNIS AND EDNA SINNED ABLE WAS I ERE I SAW ELBA A MAN, A PLAN, A CANAL, PANAMA SUMS ARE NOT SET AS A TEST ON ERASMUS 42

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4 Palindromic Numbers What about Number Sentences? 11 =11 = 11 2 = 111 3 = 1111 4 = 11111 5 = 111111 6 = 1111111 7 = 11111111 8 = 1 121 12321 1234321 123454321 12345654321 1234567654321 123456787654321 42

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5 Palindromic Numbers More Number Sentences? 11 1 = 11 2 = 11 3 = 11 4 = 11 121 1331 14641 11 0 =1 42

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6 Palindromic Numbers More Number Sentences? A palindromic number can be generated from any number. All you do is to continually add a number to its reversal until you get a palindrome. 123 + 321 = 444 86+ 68= 154 154 + 451= 605 605 + 506= 1210 1210 + 0121 = 1331 Now try one yourself!!! 42

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7 Square Numbers Can be made into squares. 491 1x1 3x3 2x2 16 4x4 25 5x5 36 6x6 1212 2 3232 4242 5252 6262 42

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8 Triangular Numbers Can be made into triangles. 361 1 1+2+3 1+2 10 1+2+3+4 15 1+2+3+4+5 21 1+2+3+4+5+6 42

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9 Sum of Triangular Numbers What type of number is the sum of consecutive triangular numbers? 1+3 3+66+1010+15 15+21 4 9162536 2 3232 4242 5252 6262 Square Numbers 42

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