9000085308
Level:
B
The number \(\frac{1}
{2} + \frac{1}
{3}\)
is bigger than \(\frac{1}
{2} -\frac{1}
{3}\).
Express the difference between these numbers in percents of the smaller quantity.
\(400\, \%\)
\(500\, \%\)
\(300\, \%\)
\(600\, \%\)
Percent problems and financial mathematics
9000085309
Level:
B
The edge of a cube is increased by \(100\, \%\).
Find the increase of the volume of the cube?
\(700\, \%\)
\(400\, \%\)
\(200\, \%\)
\(100\, \%\)
9000085310
Level:
B
The pad in the form of (not necessarily regular) octagon
is manufactured from a square. The side of the square is
\(4\, \mathrm{cm}\). An isosceles right
triangle of the hypotenuse \(1\, \mathrm{cm}\)
is removed from each corner of the square which results in the desired octagon. How
much of the material of the initial square goes to the waste?
\(12.5\, \%\)
\(10\, \%\)
\(15\, \%\)
\(20\, \%\)
9000085306
Level:
B
The ski has been sold for a reduced price in a sale after the season. The discount
\(18\, \%\)
of the original price resumed in a price which was cheaper by
\(\$36\). Find
the original price of the ski.
\(\$200\)
\(\$250\)
\(\$450\)
\(\$500\)
9000085302
Level:
B
There are \(32\) students
in the class (\(20\)
boys and \(12\)
girls). One quarter of the boys and one quarter of the girls are excellent students.
Suppose that one boy and one girl, both excellent students, move to another school.
Find the difference in the ratio of excellent students in the class before and after the
change in the class.
\(5\, \%\)
\(6.25\, \%\)
\(7.5\, \%\)
\(8.25\, \%\)
9000085303
Level:
B
The shop received \(30\)
pieces of TV from the manufacturer NoName. Five TVs in this delivery
were defect. The shop also received TVs from the manufacturer
GoodName. All these TVs were perfect. The final inspection revealed that
\(10\, \%\) of
TVs were defect in total. Use these information to find out how many TVs have been
supplied from the producer GoodName.
\(20\)
\(25\)
\(18\)
\(16\)
9000085304
Level:
B
The final score of the hockey match between teams
\(A\) and
\(B\) was
\(2 : 2\). The goaltender
of \(A\) had
success rate \(90\, \%\)
(he stopped \(90\, \%\)
of all shots on goal) and the goaltender of the team
\(B\) had fail
rate \(20\, \%\)
(\(20\, \%\) of all
shots on goal went into his net). How many shots on goal has been in the match in
total?
\(30\)
\(25\)
\(35\)
\(40\)
9000085307
Level:
B
A machine fills \(2\: 000\)
bottles per hour. As a consequence of technical problems, the efficiency of the machine
decreased by \(10\, \%\).
How many bottles can be filled by the machine with the mentioned technical problems during a
time period of \(8\)
hours?
\(14\: 400\)
\(13\: 800\)
\(14\: 500\)
\(15\: 200\)
9000085301
Level:
B
A bike was introduced to the market with the initial price
\(\$10\: 000\) in
April. As a consequence of bad sales values, the price has been decreased by
\(20\, \%\) in June and
by another \(20\, \%\)
in September. Find the price in September.
\(\$6\: 400\)
\(\$6\: 000\)
\(\$6\: 125\)
\(\$6\: 500\)
9000085305
Level:
B
The price for the first issue of the book was
\(\$100\), the price for the
second issue \(\$125\).
Find the rate of sale of the second issue if the target price for the second issue is the
same as for the first issue.
\(20\, \%\)
\(22.5\, \%\)
\(17.5\, \%\)
\(25\, \%\)