Midyear exam g7 2013
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This document appears to be a mathematics exam containing 7 sections with multiple questions in each section. Some of the questions involve: decomposing numbers into prime factors; calculating greatest common divisors; simplifying and transforming fractions; performing algebraic operations; factorizing expressions; proving properties and calculating values in geometric figures involving angles, parallel and perpendicular lines, midpoints; calculating perimeters and areas of geometric shapes; and expressing values in functions. The exam covers a wide range of mathematics topics testing skills in numbers, algebra, geometry and functions.
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VI. (5 points)
In the following figure :
ABC is an isosceles triangle at A such that
.
[AH] is the height issued from A.
The point E is the midpoint of [AH].
The line (d) is perpendicular to (AH) at E.
(d) cuts [AC] in F and [AB] in I.
1) Prove that (d) is parallel to (BC).
2) Calculate and .
3) Prove that AEF and EFH are equal. Give their
homologous elements.
4) Deduce that (AB) and (FH) are parallel.
5) Prove that F is the midpoint of [AC].
VII. ( 5 points)
1) The side of a square is ; calculate its perimeter.
2) a- Write the perimeter of the following
figure in function of and .
b- Calculate this perimeter for
3) Express by an algebraic expression the area of the
following rectangle. Then calculate this area for
GOOD WORK.](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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- 1. Page 1 of 2 CCS Mathematics 3 March, 2014 Class of G7 Exam semester(2013) Duration : 2hs Name :………………………….. I. (1 points) The 7 days of the week, Sami noted, every morning, the evolution of the temperature in ° C, compared to the previous day. Mon As temperature is 14 degrees on Sunday morning, what was the temperature of each day of this week? II. (2 points) 1) Decompose into product of prime factors the numbers 360 and 1125. 2) Calculate the GCD of 360 and 1125. 3) Simplify the fraction . 4) Transform the fraction obtained after simplification into a fraction whose denominator is a power of 10. III. (2 points) Given . 1) Write A in the form of a number with its decimal part is periodic and unlimited. 2) Give an approximation of A to the nearest 0.01 from above. 3) The approximation of 5.836 to the nearest 0.01 is equal to the approximation to the nearest 0.01 of A from above ? Justify IV. (5 points) Perform. 1) 4) 2) 5) 3) V. (5 points) 1) Develop and reduce the similar terms : a) b) c) 2) Factorize : a) b) c)
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