7/29/2019 Mathscont Fren
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Entrance examination with the ENSPT 2009 Controllers of the
Stations
and Telecommunications
TEST OF MATHEMATIQUES
EXERCICE 1
Solve in R and R the equation and the system of equations
following
a) (E):1
2
1 =
xx
x; (S):
=+
=+
660002
9
5
7
14000084
yx
yx
b) A store sells jeans and shirts. For 4 jeans and 8 sold
shirts, the manager carries out a
receipt of 14000Fcfa.
During one period of balance, the manager proposes a reduction
of 30% on the jeans and
10% on the shirts. During the pay, Rose buys 2 Jeans and 5 shirt
for the sum of 66000Fcfa.
1) Determine the price of a jean and that of a shirt before the
period of balance
2) Determine the price of a jean and that of a shirt for the
period of balance
3) a) Develop and reduce the expression:
P = x + (X + 1) + (X + 2) - 245
b) The sum of the squares of three consecutive entirety is equal
to 245, knowing that
smallest of these entireties N is noted, show that N checks the
equation n + 2n + 80 = 0
c) Determine these three consecutive natural entireties thend)
Factorize the polynomial P (u) n = 2n 80
EXERCICE 2
1) In a left surprise, there are six men and six women. Of how
much way different can
one constitute six couples to dance?
2) In a test of examination, one proposes 3 subjects of
Mathematics and 5 French
subjects. A candidate must choose a subject of each discipline.
How much are there
possible choices?
3) A set of 32 charts is considered. One draws simultaneously 8
charts from this play.
Determine the number of pulling containing
a) exactly 3 aces
b) exactly 3 aces and 2 hearts
4) Each of the 50 pupils of a class studies the English or the
Spaniard. It is known that
40 pupils study the English and that 20 study Spanish:
a) to determine the number of pupils who study the two
languages
b) to determine the number of pupils who study a language and
only one.
N.B: Unauthorized documents.
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7/29/2019 Mathscont Fren
2/2
Entrance examination with the ENSPT 2009 Controllers of the
Stations
and Telecommunications
3
In a market of the place of Yaounde, one inventoried the number
of the salesmen of dresses
according to the numbers of dresses sold during one weekend. The
results are consigned in
the table hereafter:
Classes (no. of dresses) [ 4;6[ [ 6;8[ [ 8;10[ [ 10;12[ [ 12;14[
Totals
Center classes (Ci) 5 13
Frquences(%) 10 20 35 20 15
Manpower (nor) 40 60
Nici 200 780
Nici 1000 10140
1) Recopy and supplement the table above
2) Determine the modal class of this statistical series
3) Calculate the average of this statistical series
4) Calculate the percentage of the tradesmen having sold less
than 10 dresses
N.B: Unauthorized documents.
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