9000076009
Level:
B
In the following list identify a set of the numbers where all the numbers are primes.
\(3,\ 7,\ 89\)
\(7,\ 15,\ 17\)
\(8,\ 11,\ 17\)
\(2,\ 7,\ 91\)
\(3,\ 27,\ 81\)
Elementary arithmetics
9000076010
Level:
B
In the following list identify a set of the numbers where
any number has exactly three divisors (including the number
\(1\) and
itself).
\(4,\ 25,\ 289\)
\(1,\ 2,\ 3\)
\(25,\ 36,\ 49\)
\(1,\ 17,\ 289\)
\(25,\ 36,\ 121\)
9000076001
Level:
B
In the following list identify a set of a numbers which give remainder
\(2\) after division by
\(3\), i.e. the numbers can
be written in the form \(3k + 2\),
\(k\in \mathbb{N}_{0}\).
\(5,\ 8,\ 11\)
\(5,\ 10,\ 15\)
\(3,\ 6,\ 9\)
\(15,\ 25,\ 30\)
\(4,\ 5,\ 6\)
9000076002
Level:
B
In the following list identify a set of a numbers which give remainder
\(2\) after division by
\(5\), i.e. the numbers can
be written in the form \(5k + 2\),
\(k\in \mathbb{N}_{0}\).
\(37,\ 42,\ 102\)
\(5,\ 10,\ 15\)
\(17,\ 27,\ 100\)
\(29,\ 47,\ 60\)
\(41,\ 55,\ 62\)
9000076003
Level:
B
In the following list identify a set of a numbers which give remainder
\(1\) after division by
\(11\), i.e. the numbers can
be written in the form \(11k + 1\),
\(k\in \mathbb{N}_{0}\).
\(56,\ 122,\ 221\)
\(21,\ 32,\ 48\)
\(18,\ 88,\ 115\)
\(34,\ 55,\ 70\)
\(45,\ 56,\ 65\)
9000076004
Level:
B
In the following list identify a set such that each element of this set is a divisor of
\(256\).
\(1,\ 128,\ 256\)
\(1,\ 64,\ 123\)
\(4,\ 8,\ 104\)
\(1,\ 12,\ 128\)
\(16,\ 30,\ 64\)
9000076005
Level:
B
In the following list identify a set such that each element of this set is a divisor of
\(1\: 260\).
\(1,\ 36,\ 42\)
\(4,\ 8,\ 630\)
\(12,\ 18,\ 26\)
\(16,\ 315,\ 1\: 260\)
\(1,\ 17,\ 256\)