C

1003197407

Level: 
C
A hose can fill the garden pool in 20 hours. The owners bought a pump that guarantees filling the pool in 8 hours. However, a crack appeared in the pool's shell which can drain all the water from the full pool within 5 days. How long will it take to fill the pool with the hose and the pump at the same time as the water runs off through the crack?
exactly 6 hours
approximately 5.7 hours
approximately 5.5 hours
approximately 6.8 hours

1003197406

Level: 
C
Each of two companies should deliver the same amount of raw material. While inspecting it was found out that the company A delivered 150kg and the company B delivered 194kg. At the moment of inspection, company A has to deliver yet three times more than what is left to be delivered by company B. Choose the equation which does NOT correspond to the described situation.
3(x−150)=x−194, where x represents the total planned delivery of both companies.
x−150=3(x−194), where x represents the total planned delivery of both companies.
150+3x=194+x, where x represents the amount of raw material which is left to be delivered by company B.
150+x=194+x3, where x represents the amount of raw material which is left to be delivered by company A.

1003197405

Level: 
C
Nine people travel by bus. The same number of people gets off the bus at each of three bus stops and then so many people get in to double the number of remaining bus passengers. After the third bus stop there are 30 people in the bus. How many passengers get off at each bus stop?
3
2
1
6

1003197404

Level: 
C
The stock of the monitored company lost 12% of its value during a week. Its fall continued over the next week, and the value declined by another 4%. Let’s denote the original value of the stock by an x. From the following possibilities, choose the expression that gives the value of the stock at the end of the monitored term.
0.96⋅0.88x
(0.96+0.88)x
0.04⋅0.12x
[1−(0.04+0.12)]x

1003197402

Level: 
C
Paul rides the bike at a constant speed of 18kph. Eighteen minutes after Paul starts his trip, Tom takes the same route on a motorbike at an average speed of 40kph. How far behind Paul will Tom be after 12 minutes of his ride?
1km
60km
14km
after 12 minutes of ride Tom will be in front of Paul

1003124805

Level: 
C
On a spool of mass 0.5kg is winded an aluminium wire of length 100m. Choose the function that describes the dependence of a mass of the spool with the wire m (in kilograms) on a diameter of the wire d (in millimetres). Wire density is 2700kgm3. Hint: The density of an object is defined as the ratio of the mass and the volume of the object.
m=27π400d2+0.5
m=67500πd2+0.5
m=27π400d2−0.5
m=27π200d2+0.5

1003124804

Level: 
C
In the centre of a square shaped square there is a water fountain. The fountain has a square ground plan with the side length 4.5m. The square should be paved with cobblestones of size 25cm×25cm. Choose the function that describes the dependence of the number of cobblestones needed (n) on the length of the square (a) given in meters.
n=16a2−324
n=a2625−324
n=16a2−625
n=a216−324