1) This document is a 3 page mathematics exam for class G7 consisting of 7 sections with a total of 20 points. 2) The sections include multiple choice questions, algebra problems involving factorizing and solving equations, geometry problems involving angles, parallel and perpendicular lines, and translations. 3) The final section involves determining translations of triangles and parallelograms within a complex geometric figure.

1. Page 1 of 3
CCS Mathematics June 2015
Class ofG7 Exam of 𝟑 𝒕𝒉 semester Duration : 120 min
Name :…………………………………..
I. (2 points)
In the following table, one answer is correct. Choose that answer and justify your choice.
Nb Questions Answers
A B C
1 5² × 25² × (5²)⁴ 5¹² × 5² 5¹⁶ 5¹²
2 The GCD of 16 and 48 3 48 16
3 The scientific notation of
37.05 × 10⁵ is
0.3705 × 10⁷ 3.705 × 10⁶ 3.705 × 10⁴
4
𝐴 = (
2
3
−
5
2
) ×
9
4
+
1
2
= 𝐴 = −
29
8
𝐴 =
29
8
𝐴 =
29
7
II. (4 points)
Given 𝐴( 𝑥) = (2𝑥 − 3)( 𝑥 − 1) − (2𝑥 − 3)(4 − 𝑥)
1) Factorize 𝐴(𝑥).
2) Develop and reduce 𝐴(𝑥).
3) Calculate 𝐴(0), 𝐴(−1).
4) Solve the equation 𝐴( 𝑥) = 4𝑥² + 8𝑥 + 4
III. (4 points)
1) Three cars out of 75 have an accident. What is the percentage of those ?
2) With 3.5 𝑙 of pain, we can paint 14 m².
a) What is the area can we paint with 12 𝑙 of paint ?
b) What is the quantity needed to paint 23 m² ?
3) A shop bought three packets of tissues of measures 30 m, 25 m and 40 m respectively.
If the first packet costs 600000 LL.
Find the price of the other two packets.
IV. (2 points)
B and C are two fixed points such that BC= 3 cm.
1) Find the locus of the variable point M such that BM= 7 cm.
2) Find the locus of the point N such that (CN) and (BC) are perpendicular.

2. Page 2 of 3
V. (4 points)
Look at the following figure, then answer the following questions:
1
1) Find the measure of the angle 𝐴𝐻̂ 𝐵.
2) Prove that (EI) is parallel to (KL).
3) The lines (JE) and (BH) are parallel ? Justify
4) Find x and y.
VI. (6 points)
1) Construct the angle 𝑋𝑂̂ 𝑌 = 120°, then construct the bisector of that angle, [OZ).
2) Place the point A on [Oz) such that OA= 6cm.
3) B and C are the orthogonal projections of A respectively on [Ox) and [Oy).
4) Place the points S and T the symmetric of A with B and C respectively.
5) Prove that the triangles OAC and OAB are congruent.
6) Prove that OS= OT.
7) Prove that BOS and COT are congruent.
8) Find the measure of the angles 𝑂𝐴̂ 𝐵, 𝑂𝐴̂ 𝐶, 𝐴𝑆̂ 𝑂 𝑎𝑛𝑑 𝐴𝑇̂ 𝑂.

3. Page 3 of 3
VII. (3 points)
In the adjacent figure, ABC is a triangle
such that : EFHG, FEHI, GHJB, HICK,
EFCK and GHKJ are parallelograms.
1) What is the translate of G by
translation taken B to G ?
2) What is translate of G by translation
taken E to F ?
3) Determine the translation taken the
triangle HIK to the triangle GHJ.
4) Determine the translation of the
triangle HIK by translation taken I
to H.
GOOD WORK.
Best wishes for a
happy summer
and a bright and
a successful
future.