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State whether the following statements are always true, sometimes true or never true.
(a) Three consecutive numbers add to a multiple of three. true
(b) the product of two odd numbers is even. true
(c) the sum of two prime numbers is even. true
Decide whether the following statements are true or false.
(a) an odd number can be written as twice a number plus one:
(b) the sum of three even numbers is sometimes even:
(c) the sum of three odd numbers is always odd:
(d) the product of one odd and one even number is sometimes even:
(e) the difference of one odd and one even number is always even:
Say whether the following statements are true or false:
(a) The product of three even numbers is always even:
(b) The difference between two even numbers is always even:
(c) The quotient of two even numbers is always even:
(d) The sum of three consecutive numbers is always a multiple of 6:
Say whether the following statements are true or false:
(a) For three consecutive numbers, the product of the first and the last is 1 less than the middle squared.
(b) When you add together two consecutive odd numbers you get a square number.
(c) Add 1 to the square of an odd number. You always get an odd number.
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