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CCS Mathematics March 2014
Class of G7 Exam of semester Duration : 2hs
Name :…………………………………..
I. ( 1.5 point)
In the following table , one question is correct. Choose the correct answer with justification
Questions Answers
a b c
1 If then 8 5 64
2 24 7
3 a=180 and b=165 then the GCD(a ;b) and the
LCM(a ;b) are :
GCD=15
LCM=1980
GCD=45
LCM=660
GCD=132
LCM=15
4
=
II. (6 points)
1) Develop and reduce :
a) –
b)
c)
d)
2) Factorize :
a)
b)
c)
d)
3) Given
a) Develop and reduce
b) Factorize
c) Calculate
III. (2 points)
Solve the following equations :
1)
2)
3)
4)

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IV. (1.5 point)
Three boys have together 150 marbles.
The first has 18 marbles more than the second.
The third has 24 marbles more than the first.
Find the number of marbles that each boy has.
V. (2 points)
1) Calculate the angles of the triangle EAD.
2) Calculate the perimeter of the triangle
EAD in function of .
3) Calculate the perimeter of the rectangle
ABCD in function of .
4) Calculate for the perimeter of
rectangle is equal to the triple of the
perimeter of the triangle EAD.
VI. (4 points)
ABC is a triangle. [AM] is a relative median at [BC]. E is the symmetric of A with respect to
M.
1) Draw the figure.
2) Prove that the triangles AMB and EMC are congruent.
3) Deduce that EC= AB.
4) Deduce that the triangles ABC and BCE are congruent.
VII. (3 points)
1) In an orthonormal system (x’Ox, y’Oy) plot the points A(3 ;5) , B(2 ;3), C(-3 ;-2) and
D(1 ;4).
2) I is the midpoint of the segment [AB] ; calculate the coordinates of I.
3) J is the midpoint of the segment [CD]. Calculate the coordinates of J.
4) L the projection of A on (x’x). Find the coordinates of L.
GOOD WORK.