9000078902
Level:
B
If we decrease an unknown number \(x\)
by \(14\, \%\), we
get \(602\).
Find \(x\).
\(700\)
\(686.28\)
\(517.72\)
\(680\)
B
9000079202
Level:
B
Find the set \(M\)
of all the real \(x\)
for which the following expression is not a well defined number.
\[
\frac{x - 4}
{x^{3} - 16x}
\]
\(M = \{ - 4,0,4\}\)
\(M = \{ - 4,4\}\)
\(M = \{0,4\}\)
\(M = \{0\}\)
9000076005
Level:
B
In the following list identify a set such that each element of this set is a divisor of
\(1\: 260\).
\(1,\ 36,\ 42\)
\(4,\ 8,\ 630\)
\(12,\ 18,\ 26\)
\(16,\ 315,\ 1\: 260\)
\(1,\ 17,\ 256\)
9000072706
Level:
B
We are given five consecutive terms of an arithmetic sequence. Find
\(x\).
\[
5\, ,\ a\, ,\ b\, ,\ x\, ,\ 6
\]
\(x = 5.75\)
\(x = 5.5\)
\(x = 5.8\)
\(x = 5\frac{2}
{3}\)
9000072703
Level:
B
The following numbers form an arithmetic sequence. Find
\(x\).
\[
x\, ,\ 10\, ,\ 5
\]
\(x = 15\)
\(x = 20\)
\(x = 50\)
\(x = 5\)
9000073002
Level:
B
Consider a geometric sequence \((a_{n})_{n=1}^{\infty }\).
Let \(q\) be the quotient
and \(s_{n}\) be the sum
of the first \(n\)
terms. Given \(a_{6} = 5\)
and \(q = 1\),
find the sum of the first five terms of the sequence.
\(s_{5} = 25\)
\(s_{5} = 31\)
\(s_{5} = 6\)
\(s_{5} = 30\)
9000072705
Level:
B
We are given four consecutive terms of an arithmetic sequence. Find
\(x\).
\[
3\, ,\ a\, ,\ 0\, ,\ x
\]
\(x = -1.5\)
\(x = -3\)
\(x = 6\)
\(x = -6\)
9000072806
Level:
B
The following numbers form a geometric sequence. Find
\(x\).
\[
2\, ,\ 1\, ,\ a\, ,\ x
\]
\(\frac{1}
{4}\)
\(\frac{1}
{2}\)
\(-\frac{1}
{2}\)
\(- 1\)
9000072708
Level:
B
We are given six consecutive terms of an arithmetic sequence. Find
\(x\).
\[
\frac52,\ a,\ x,\ b,\ c,\ 5
\]
\(x = 3.5\)
\(x = 3\)
\(x = 4\)
\(x = 3.75\)
9000072807
Level:
B
The following numbers form a geometric sequence. The third term satisfies
\(a < 0\). Find
\(x\).
\[
x\, ,\ 1\, ,\ a\, ,\ \frac{1}
{9}
\]
\(- 3\)
\(9\)
\(3\)
\(-\frac{1}
{3}\)