9100018008
Level:
B
Graph the solution of the following inequality.
\[
\frac{x}
{2}\geq 3
\]
Linear equations and inequalities
9100018009
Level:
B
Graph the solution of the following inequality.
\[
0\geq 3x
\]
9100018108
Level:
B
Graph the solution of the following inequality.
\[
\frac{x - 5}
{2} \leq 2\left (x + 1\right )
\]
9100018109
Level:
B
Solve the following inequality and choose the diagram that shows the correct solution set marked in red on the number line.
\[
1 -\frac{x - 4}
{5} \geq \frac{4x}
{5}
\]
9100021805
Level:
B
Identify a picture which shows the graphical solution of the following inequality in red.
\[
\frac{1}
{2}x + 1\leq 3x - 4
\]
1003029701
Level:
C
One and a half of a loaf of bread weighs as same as a quarter of a loaf of bread together with a kilo weight. If it is possible, find how much one loaf weighs. (Assume that all the loaves weigh the same.)
\( 0.8\,\mathrm{kg} \)
\( 1.25\,\mathrm{kg} \)
\( 0.2\,\mathrm{kg} \)
It is not possible to determine the exact weight of the loaf from the given information.
1003029702
Level:
C
The comparative math test consists of the total of three problems. From students taking the test \( 16\% \) solved correctly all three problems, \( 3/5 \) of the students made mistake in exactly one of the problems and \( 2/15 \) of the students made mistakes in exactly two of the problems. Eight students gave neither one of the problems. How many students wrote the test without a mistake?
\( 12 \)
\( 75 \)
\( 45 \)
\( 10 \)
1003029703
Level:
C
A sample of \( 168 \) respondents of a sociological research splits into three categories according to nationality: Czech, Slovak and other. There is four times less Slovak respondents than Czech in the sample. The other nationality reported \( 85\% \) less respondents than Czech nationality. Choose the equation that represents the algebraic relation between the nationalities of the sample and leads to evaluation of the number of people of the given nationality.
\( x+4x+\frac{4x\cdot15}{100}=168 \), where \( x \) is the number of people of the Slovak nationality
\( x+\frac x4+\frac{x\cdot15}{4\cdot100}=168 \), where \( x \) is the number of people of the Slovak nationality
\( x+4x+\frac{4x\cdot85}{100}=168 \), where \( x \) is the number of people of the Slovak nationality
\( x+4x+\frac{4x\cdot15}{100}=168 \), where \( x \) is the number of people of the Czech nationality
1003029704
Level:
C
Tom is \( 15 \) years old and his grandpa is \( 67 \). How many years will it take for the grandpa to be three times as old as Tom? Choose the equation which represents the algebraic solution to the given word problem.
\( 67+x=3\cdot(15+x) \)
\( 67=3\cdot x \)
\( 67=3\cdot(15+x) \)
\( 3\cdot(67+x)=3\cdot(15+x) \)
1003029705
Level:
C
In a tank, there are \( 60 \) litres of \( 2\% \) saline solution. How much water must evaporate to increase salt concentration into \( 3\% \)?
\( 20 \) litres
\( 40 \) litres
\( 1.8 \) litres
\( 58.2 \) litres