1. Page 1 of 2
Name:………………………….
Grade: BE8 Section: A, B,C
Teacher: Zeinab Zeineddine
Abed Al – Karim Al – Khalil Public School
Final exam : In Mathematics
Date: June 2013.
Duration: 2 h
I. (2 points)
In the table below , only one among the proposed answer to each question is correct. Write down the
number of each question and give, with justification, the corresponding answer for your choice.
№ Questions Answers
A B C
1 The GCD of 64 and 48 is: 6 ³
2 0.1
3 Given the inequality:
The prime numbers that are solution of this
inequality are:
7; 11; 17
and 23
4
II. ( 3 points)
Consider the four numbers A, B, C and D:
;
In the following three questions, the steps of calculation must be shown.
1) Calculate A and write the answer as a fraction in the simplest form, then as a decimal.
2) Write B in scientific notation.
3) Write C in the form a where a and b are two integers, then give to the nearest thousandth an
approximate value of C.
4) Write D is the form of integer number.
III. (2 points)
1) A student passes three exams of English ,of Science and of Mathematics. The grades are inversely
proportional to the numbers 4 ; 5 and 6. Calculate the grade of each exam if the students score
was 111.
2) In a class of 30 students, 60% are girls. Calculate the number of girls and the number of boys in
this class.
IV. (2.5 points)
1) In an orthonormal system of axes x’Ox, y’Oy plot the points:
L(3;3) , C(-2;3), S(-2; -1)
2) a- Calculate the coordinates of the point I, the midpoint of [SL].
b- Calculate the coordinate of the point A , the symmetric of C with respect to I.
c- Deduce the nature of the quadrilateral ASCL and find its perimeter.
3) Construct the translate of the triangle SAC by translation of vector and precise the nature of the
image triangle then find its area.
2. Page 2 of 2
V. (3 points)
Given: and .
1) Develop .
2) Factorize
3) Solve the equation .
4) Let .
a- Find the values of where is defined.
b- Simplify then solve the equation .
VI. (2 points)
The studied character is the color of the eyes of 200 persons.
1) Draw the table of the frequencies and of the percentage
relative frequencies .
2) Construct the bar-graph of frequencies.
VII. ( 5.5 points)
In the following figure we have:
(C ) is a fixed circle of center O and radius
R= 3cm.
[AB] diameter of (C).
C is a point of ( C) such that BC= 3 cm.
N is the midpoint of [AC].
(d) is the tangent at B on (C ).
1) What is the nature of the triangle OCB? Justify.
2) Calculate the angle of the triangle ACB, then deduce
its nature.
3) Calculate AC and ON.
4) The tangent (d) cuts (AC) in M. Calculate AM and
BM.
5) Calculate the area of circular sector COB.
6) Find the locus of N when C varies on (C ).
GOOD WORK.
![Page 1 of 2
Name:………………………….
Grade: BE8 Section: A, B,C
Teacher: Zeinab Zeineddine
Abed Al – Karim Al – Khalil Public School
Final exam : In Mathematics
Date: June 2013.
Duration: 2 h
I. (2 points)
In the table below , only one among the proposed answer to each question is correct. Write down the
number of each question and give, with justification, the corresponding answer for your choice.
№ Questions Answers
A B C
1 The GCD of 64 and 48 is: 6 ³
2 0.1
3 Given the inequality:
The prime numbers that are solution of this
inequality are:
7; 11; 17
and 23
4
II. ( 3 points)
Consider the four numbers A, B, C and D:
;
In the following three questions, the steps of calculation must be shown.
1) Calculate A and write the answer as a fraction in the simplest form, then as a decimal.
2) Write B in scientific notation.
3) Write C in the form a where a and b are two integers, then give to the nearest thousandth an
approximate value of C.
4) Write D is the form of integer number.
III. (2 points)
1) A student passes three exams of English ,of Science and of Mathematics. The grades are inversely
proportional to the numbers 4 ; 5 and 6. Calculate the grade of each exam if the students score
was 111.
2) In a class of 30 students, 60% are girls. Calculate the number of girls and the number of boys in
this class.
IV. (2.5 points)
1) In an orthonormal system of axes x’Ox, y’Oy plot the points:
L(3;3) , C(-2;3), S(-2; -1)
2) a- Calculate the coordinates of the point I, the midpoint of [SL].
b- Calculate the coordinate of the point A , the symmetric of C with respect to I.
c- Deduce the nature of the quadrilateral ASCL and find its perimeter.
3) Construct the translate of the triangle SAC by translation of vector and precise the nature of the
image triangle then find its area.](https://image.slidesharecdn.com/g8final-140520113001-phpapp02/85/G8-final-1-320.jpg)
![Page 2 of 2
V. (3 points)
Given: and .
1) Develop .
2) Factorize
3) Solve the equation .
4) Let .
a- Find the values of where is defined.
b- Simplify then solve the equation .
VI. (2 points)
The studied character is the color of the eyes of 200 persons.
1) Draw the table of the frequencies and of the percentage
relative frequencies .
2) Construct the bar-graph of frequencies.
VII. ( 5.5 points)
In the following figure we have:
(C ) is a fixed circle of center O and radius
R= 3cm.
[AB] diameter of (C).
C is a point of ( C) such that BC= 3 cm.
N is the midpoint of [AC].
(d) is the tangent at B on (C ).
1) What is the nature of the triangle OCB? Justify.
2) Calculate the angle of the triangle ACB, then deduce
its nature.
3) Calculate AC and ON.
4) The tangent (d) cuts (AC) in M. Calculate AM and
BM.
5) Calculate the area of circular sector COB.
6) Find the locus of N when C varies on (C ).
GOOD WORK.](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)