Session Five of Mathematical Flow. Page | 1
Flow
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Session 5
The Maverick Mathematician - Maths Patterns
452= 2025 and 20 + 25 = 45
453= 91125 and 9 + 11 + 25 = 45
454= 4100625 and 4 + 10 + 06 + 25 = 45
455= 184528125 and 18 + 4 + 5 + 2 + 8 + 1 + 2 + 5 = 45
456=8303765625and 8 + 3 + 0 + 3 + 7 + 6 + 5 + 6 + 2 + 5 = 45
Finally, look at this sum: 12 + 43 + 65 + 78 = 87 + 56 + 34 + 21
At first glance it does not seem terrifically impressive. Howevereachside uses the digits 1 - 8 and the whole equation is a palindrome. It still remains valid if you square each term. You should now realise how maths and maths patterns can be quite addictive. Source: http://www.mathscentre.co.nz/
Answers for page 2: A test with 66: x-((x+66)-100)=x-x-66+100=34
Dice = 21 and Age = 238, but why? Can you prove using algebra?
Martin Gardner Mental Magic! Page 47.
A test with 66
Write down any number from 50 to 100.
Add 66.
Note the last two digits of the sum. Call this number k.
Subtract k from the number you first thought of.
What is the result?
Martin Gardner Mental Magic! Page 50.
A trick with 3 dice.
Toss 3 dice on the table. Call them A, B and C.
Write down the total showing on A and B.
Turn B and C upside down and write the total showing.
Turn upside down C and A and write the total showing.
Add the three sums, what is the result?
Martin Gardner Mental Magic! Page 33.
Enter your age into the calculator.
Multiply by 12.
Add the mysterious number 2856.
Divide by 3.
Divide by 4.
Subtract your age.
What number is now on the display?