9000028103
Level:
B
Given graphs of the linear functions \(f\)
and \(g\), find the solution
set of the inequality \(f(x) > g(x)\).
\((-\infty ;-2)\)
\(\emptyset \)
\((-4;2)\)
\((-2;\infty )\)
Linear functions
9000028104
Level:
B
Given graphs of the linear functions \(f\)
and \(g\), find the solution
set of the inequality \(f(x)\leq g(x)\).
\((-\infty ;2.4] \)
\(\emptyset \)
\((-\infty ;-2.3] \)
\([ 6;\infty )\)
9000009304
Level:
C
A tank contains \(1\: 000\)
litres of petrol. The petrol escapes at a constant speed
\(20\) litres per minute. In what
time will there be just \(200\)
litres of the petrol in the tank?
\(40\, \mathrm{min}\)
\(10\, \mathrm{min}\)
\(20\, \mathrm{min}\)
\(30\, \mathrm{min}\)
9000009305
Level:
C
Anne decided to make a bicycle trip with his friend which lives
\(10\, \mathrm{km}\)
from Anne house. Anne went from her house to the house of her friend first.
Then they started to measure the time and went on a constant velocity
\(18\, \mathrm{km}/\mathrm{h}\).
In what time will be the total distance traveled by Anne equal to
\(34\, \mathrm{km}\)?
\(1\, \mathrm{h}\)
\(20\, \mathrm{min}\)
\(1\, \mathrm{h}\)
\(58\, \mathrm{min}\)
\(2\, \mathrm{h}\)
\(26\, \mathrm{min}\)
\(2\, \mathrm{h}\)
\(30\, \mathrm{min}\)
9000009306
Level:
C
Anne decided to make a bicycle trip with his friend which lives
\(10\, \mathrm{km}\)
from Anne house. Anne went from her house to the house of her friend first.
Then they started to measure the time and went on a constant velocity
\(18\, \mathrm{km}/\mathrm{h}\) for
\(2\, \mathrm{h}\)
\(10\, \mathrm{min}\).
What is the total distance traveled by Anne?
\(49\, \mathrm{km}\)
\(39\, \mathrm{km}\)
\(35\, \mathrm{km}\)
\(45\, \mathrm{km}\)
9000009307
Level:
C
The sound velocity at the temperature
\(0\, ^{\circ } \mathrm{C}\) is
\(331\, \mathrm{m}/\mathrm{s}\). An increase of the
temperature by \(1\, ^{\circ } \mathrm{C}\) increases
the speed of velocity by \(0.6\, \mathrm{m}/\mathrm{s}\).
Estimate the sound speed at the temperature
\(18\, ^{\circ } \mathrm{C}\).
\(341.8\, \mathrm{m}/\mathrm{s}\)
\(341.2\, \mathrm{m}/\mathrm{s}\)
\(348\, \mathrm{m}/\mathrm{s}\)
\(349\, \mathrm{m}/\mathrm{s}\)
9000009308
Level:
C
A car moving at a speed \(90\) km/h
starts to brake. It slows down at a constant acceleration
\(2\, \mathrm{m}/\mathrm{s}^{2}\).
Which time is required to stop the car?
\(12.5\, \mathrm{s}\)
\(45\, \mathrm{s}\)
\(45\, \mathrm{min}\)
\(12.5\, \mathrm{min}\)
9000009309
Level:
C
The speed of a swimmer in a \(50\, \mathrm{m}\)-pool
is \(0.8\, \mathrm{m}/\mathrm{s}\).
How fast will he swim two pool lengths (one pool length is
\(50\) meters), if
he/she needs \(2\, \mathrm{s}\)
to turn at the end of the pool?
\(127\, \mathrm{s}\)
\(82\, \mathrm{s}\)
\(84\, \mathrm{s}\)
\(129\, \mathrm{s}\)
9000009310
Level:
C
The graph describes a distance traveled by a motorbike as a function of time. Find
an analytic expression for this function.
\(s = 50 + 5t,\ t\in [ 0;30] \)
\(s = 5 + 50t,\ t\in [ 0;30] \)
\(s = 50t,\ t\in [ 0;30] \)
\(s = 5t - 50,\ t\in [ 0;30] \)
9000009311
Level:
C
The graph shows the speed of a train as a function of time. Find an analytic
expression for this function.
\(v = 30 - \frac{3}{4}t,\ t\in [ 0;20] \)
\(v = 30 + \frac{3}{4}t,\ t\in [ 0;20] \)
\(v = 15 +\frac{3}{4}t,\ t\in [ 0;20] \)
\(v = 30 - \frac{4}{3}t,\ t\in [ 0;20] \)