9000084909
Level:
B
Among the following numbers, find the number so that in its factorization into primes each prime is squared.
\(36\)
\(24\)
\(120\)
\(360\)
\(512\)
B
9000081408
Level:
B
For \(x\in \mathbb{R}^{-}\) consider
expressions \(|x|\),
\(|- x|\),
\(-|x|\) and
\(- x\).
Which of these attains only negative values?
\(-|x|\)
\(|x|\)
\(|- x|\)
\(- x\)
9000084908
Level:
B
From the following list of numbers choose the one that has in its prime factorization the highest power of a prime.
\(1\: 024\)
\(21\)
\(100\)
\(330\)
\(486\)
9000078910
Level:
B
There is \(19\)
girls and \(12\)
boys in the class. Find the difference between the percentage of the girls and boys in
this class.
\(22.6\, \%\)
\(15.1\, \%\)
\(18.5\, \%\)
\(23.5\, \%\)
9000080901
Level:
B
Find the intersection \(A \cap B\)
for \(A = \{ - 5,0,1.5,2,6\}\)
and \(B = \{x\in \mathbb{Z},x\geq 0\}\).
\(\{0,2,6\}\)
\(\{0,1.5,2,6\}\)
\(\{1.5,2,6\}\)
\(\mathbb{Z}\)
9000076006
Level:
B
In the following list identify a set such that each element of this set is a divisor of
\(578\).
\(17,\ 34,\ 289\)
\(1,\ 2,\ 4\)
\(13,\ 15,\ 17\)
\(1,\ 13,\ 289\)
\(2,\ 35,\ 578\)
9000080902
Level:
B
Given the sets \(A = \{x\in \mathbb{Z}:x\geq - 2\}\)
and \(B = \{x\in \mathbb{N}: x\leq 5\}\) find the intersection \(A \cap B\).
\(\{1,2,3,4,5\}\)
\(\{0,1,2,3,4,5\}\)
\(\{0,1,2,3,4\}\)
\(\{ - 2,-1,0,1,2,3,4,5\}\)
9000076007
Level:
B
Complete the statement. „The sum of any three consecutive integers ...”
is divisible by \(3\).
is not divisible by \(6\).
is divisible by \(6\).
is not divisible by \(3\).
is divisible by \(9\).
9000080903
Level:
B
Find the union \(A\cup B\)
for \(A = \{x\in \mathbb{Z},x\geq - 3\}\)
and \(B = \{x\in \mathbb{N},x < 8\}\).
\(\{x\in \mathbb{Z},x\geq - 3\}\)
\(\{1,2,3,4,5,6,7\}\)
\(\{ - 3,-2,-1,0,1,2,3,4,5,6,7\}\)
\(\mathbb{Z}\)
9000076008
Level:
B
Complete the statement. „The sum of any five consecutive integers ...”
is divisible by \(5\).
is divisible by \(3\).
is divisible by \(4\).
is divisible by \(6\).
is divisible by \(10\).