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  2. 30 Math Puzzles (with Answers) to Test Your Smarts - AOL

    www.aol.com/30-math-puzzles-answers-test...

    These math puzzles with answers are a delightful challenge. ... if you prefer your riddles free of math, we have great riddles for ... you add eight to the top two-digit number (75, 34, 68) to get ...

  3. 68 (number) - Wikipedia

    en.wikipedia.org/wiki/68_(number)

    68 is a composite number; a square-prime, of the form (p 2, q) where q is a higher prime. It is the eighth of this form and the sixth of the form (2 2.q). 68 is a Perrin number. [1] It has an aliquot sum of 58 within an aliquot sequence of two composite numbers (68, 58,32,31,1,0) to the Prime in the 31-aliquot tree.

  4. Wason selection task - Wikipedia

    en.wikipedia.org/wiki/Wason_selection_task

    If the 3 card is blue (or red), that doesn't violate the rule. The rule makes no claims about odd numbers. (Denying the antecedent) If the 8 card is not blue, it violates the rule. (Modus ponens) If the blue card is odd (or even), that doesn't violate the rule. The blue color is not exclusive to even numbers. (Affirming the consequent)

  5. Multiplication - Wikipedia

    en.wikipedia.org/wiki/Multiplication

    Indeed, multiplication by 3, followed by division by 3, yields the original number. The division of a number other than 0 by itself equals 1. Several mathematical concepts expand upon the fundamental idea of multiplication. The product of a sequence, vector multiplication, complex numbers, and matrices are all examples where this can be seen.

  6. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    Even numbers are always 0, 2, or 4 more than a multiple of 6, while odd numbers are always 1, 3, or 5 more than a multiple of 6. Well, one of those three possibilities for odd numbers causes an issue.

  7. Multiplication algorithm - Wikipedia

    en.wikipedia.org/wiki/Multiplication_algorithm

    If a positional numeral system is used, a natural way of multiplying numbers is taught in schools as long multiplication, sometimes called grade-school multiplication, sometimes called the Standard Algorithm: multiply the multiplicand by each digit of the multiplier and then add up all the properly shifted results.

  8. Parity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Parity_(mathematics)

    Any two consecutive integers have opposite parity. A number (i.e., integer) expressed in the decimal numeral system is even or odd according to whether its last digit is even or odd. That is, if the last digit is 1, 3, 5, 7, or 9, then it is odd; otherwise it is even—as the last digit of any even number is 0, 2, 4, 6, or 8.

  9. Mental calculation - Wikipedia

    en.wikipedia.org/wiki/Mental_calculation

    This technique allows easy multiplication of numbers close and below 100.(90-99) [2] The variables will be the two numbers one multiplies. The product of two variables ranging from 90-99 will result in a 4-digit number. The first step is to find the ones-digit and the tens digit. Subtract both variables from 100 which will result in 2 one-digit ...