Kafarrouman Second Intermediate School
Math Test (4)
Name:
Group (A)
Teacher: Zeinab Kassem – Ali Dia
Ex.1: (4 points)
1) Perform and simplify the following numbers:
2
A = (√2 + 2√3)
B= √112 − (√(−7)2 + √63)
C = √36 + 64 − √36 − √64 + 2√52 − 3 × 7
2) Solve each of the following equations:
a) (𝑥 − 10)2 = 144
b) 3𝑥 2 = 0.75 × 10−6
Ex.2: (3 points)
Let ABCD be a parallelogram, I is the midpoint of [BC]
and E the symmetric of A with respect to I.
1) Draw the figure.
2) What is the nature of ABEC? Justify.
3) Show that D, C and E are collinear.
4) Show that C is the midpoint of [DE].
5) Find x, If AE = 2x+6 and IE = 4x − 5.
Ex.3: (3 points)
̂ = 𝐸𝐷𝐹
̂
In the adjacent figure, ABCD is a parallelogram and 𝐴𝐸𝐵
1) Prove that BEDF is a parallelogram.
2) Prove that [AC]; [BD] and [EF] have the same midpoint.
3) Prove that AFCE is a parallelogram.
̂ = 210° − 3𝑥 and 𝐴𝐵𝐶
̂ = 2𝑥 + 30°.
4) Find the value of 𝑥 if 𝐵𝐶𝐷
Grade: 8
Duration: 50 min
Date: 3-12-2018