9000085608
Level:
A
Given numbers \(456\: 138\)
and \(321\: 814\),
find the difference between the sum of these numbers rounded to the nearest tens and the sum of these numbers rounded to the nearest hundreds.
\(50\)
\(100\)
\(1\: 000\)
\(0\)
Elementary arithmetics
9000085609
Level:
A
Given the number \(45\: 875\),
round this number to nearest thousands, nearest hundreds and subtract the results.
\(100\)
\(200\)
\(1\: 000\)
\(0\)
9000085610
Level:
A
Given the number \(82\: 361\),
round this number to nearest thousands, nearest hundreds and subtract the results.
\(400\)
\(300\)
\(200\)
\(100\)
1003099401
Level:
B
The number \( 43256232a2 \) is divisible by \( 9 \) if
\( a= 7 \).
\( a= 1 \).
\( a= 0 \).
\( a= 4 \).
1003099402
Level:
B
How many odd double-digit numbers give the reminder of \( 2 \) when divided by \( 9 \) and are divisible by \( 13 \) as well?
\( 1 \)
\( 2 \)
\( 3 \)
\( 4 \)
1003099403
Level:
B
The number \( x \) when divided by \( 7 \) gives a remainder of \( 3 \). The number \( x \) can be written in the form:
\( 7n+3\text{, }n\in\mathbb{N} \)
\( 3n+7\text{, }n\in\mathbb{N} \)
\( 7(n+3)\text{, }n\in\mathbb{N} \)
\( 3(n+7)\text{, }n\in\mathbb{N} \)
1003099404
Level:
B
The number \( 725233+x \) after dividing by \( 9 \) is to give a remainder of \( 5 \). Which of the given numbers shall we substitute for \( x \)?
\( 1 \)
\( 3 \)
\( 2 \)
\( 8 \)
1003099405
Level:
B
The number \( 5\cdot11\cdot17 \) has exactly:
eight positive integer divisors
six positive integer divisors
seven positive integer divisors
five positive integer divisors
1003099406
Level:
B
In mathematics, the product of all positive integers less than or equal to a non-
negative integer \( n \) is denoted by \( n! \). For example: \( 5!=5\cdot4\cdot3\cdot2\cdot1=120 \). Which of the following
statements is true?
\( 16! \) is divisible by \( 91 \).
\( 16! \) is divisible by \( 71 \).
\( 16! \) is divisible by \( 51 \).
\( 16! \) is divisible by \( 41 \).
1003099407
Level:
B
If we convert the fraction \( \frac27 \) to a decimal, then the \( 32 \)nd digit after the decimal point is:
\( 8 \)
\( 1 \)
\( 2 \)
\( 7 \)