Download 2) From the opposite figure

Manaret Heliopolis Language School
Mathematics Department
Name: ……………………………………
( Math Revision sheet 2017 Prep 1)
class 1 ….
1) Complete:
a)( 2a2)-3 = ………
b) (
𝟐𝟓 𝐗 𝟑𝟐
𝟑𝟒 𝐗 𝟐𝟑
) 2 = .............
𝟐𝐱
c) ( )2 = ………
d) (-2a-3)-2 = …………
𝟑𝐲
𝐚
𝐚𝟑 𝐱 𝐚−𝟓
e) ( )0 = ………
f)
g) Fifth the number 523 is …………
h)
𝟐𝐛
𝐚−𝟕 𝐱 𝐚𝟒
𝟐𝟓 𝐱 𝟑𝟓
𝟒𝟓
= …………
= …………
𝟐𝐚
i) The multiplicative inverse of ( )-2 is …………..
𝟑𝐛
j) The additive inverse of (-2a)-4 is …………
k) 𝟗𝟏𝟎 + 𝟗𝟏𝟎 + 𝟗𝟏𝟎 = ………
l) The additive inverse of the number (−𝟏)𝟏𝟎𝟐 is ………………..
m) The standard form of the number 0.0023 x 104 is ………………
n) 0.00085 = 8.5 x 𝟏𝟎𝐧 then n = ………
o) 3x4+53 – (3x9) = ………
p) 50 – 2x32 + (2x4) = …………
q) The additive inverse of (-)2 is ……..
u) (- )7÷( )5 = ……( In the simplest form )
v) (
−𝟏 𝟐
)
𝟑
+ (
𝐚
𝐛
𝐛
𝐚
−𝟏 𝟑
)
𝟑
= ……………
r) ( )3 x ( )4 = …………
2) Choose the correct answer:
a) If 5x =25 then 10x = ……………
b) 2 x 6 – 4
c)
22 = ……………
= ……………
e) If a < b then – a ……… - b
( 3 , 5 , 50 , 30)
( 1 , 11 , 10 , 2 )
( 74 , 70 , 7-4 , 7 )
( <, = , > ,)
f) ( - )-1 = …..
(-  , 3 , -3 ,  )
g) Half the number 210 is ………
(𝟐𝟓 , 𝟐𝟗 , 𝟐𝟐𝟎 , 𝟐𝟏𝟏 )
h)The third of the number 318 =…..
𝟑 ……
𝟏
k) 6 = ( )
𝟒
𝟐
l) If : x =
𝟏
( 36 , 39 , 317 , 318 )
(0,2,3,4)
and y = -1 , then : 𝐱 𝐲 =………….
𝟓
𝟏
3)(a) If : 𝐱 =
𝟐
,𝐲 =
𝟑
𝟒
𝟑
𝟏
𝟒
𝟐
and 𝐳 = −
𝟑
𝟐
1.
2.
𝐱 𝟒 𝐲 𝟓 𝐱𝟐
𝐲𝟐
𝟒𝟕 × 𝟒−𝟓
𝟒𝟐
𝟏
3. [( )𝟐 ] 3
𝟑
4. (
𝟐𝟓 𝐗 𝟑𝟐
𝟑𝟒 𝐗 𝟐𝟑
) -1
𝟑
𝟓
𝟓
𝟑
5.
( ) 8 ( ) 8
6.
(
𝐱 𝟑 16
𝐱 𝟐 16
)
÷
(
)
𝐲𝟐
𝐲𝟐
5) Find the value of the expression :
(𝐚) 𝟏𝟐 × 𝟐𝟐 ÷ 𝟐𝟒 + 𝟑𝟐
(b) 3x4+53 – (3x9) = ………
(c) 50 – 2x32 + (2x4) = …………
(d) 16 + 4 ÷ 2 – 3 X 10 -2
𝟓
, Find in simplest form :
(b)If A = - and B = , find the value of A2 + B3
4) Find in the simplest form :
𝟏
( 5 , , 1 , -1 )
𝐱𝟑
𝐳𝟐 𝐲𝟐
Geometry
1) Complete:
a) The sum of measures of the interior angles of decagon…………………………………
b) The sum of measures of the interior angles of a polygon with n sides = ………………
c) The sum of measures of the exterior angles of a polygon with n sides = ………………
d) The measure of an angle of a regular polygon with n sides = ………………
e) The sum of measure of the interior angles of a hexagon = …………………
d) The measure of any angle of a regular decagon = ……………………
e) The sum of measure of the exterior angle of a heptagon = …………………
f) All sides in regular polygon are ……………………… and all its angles are ……………………
g) XYZW is a parallelogram in which m(<X) = 40° , then m(<Y) = ……………
h) The polygon that has 7 sides is called ………………
i) The sum of measure of the interior angles of a decagon = …………………
j) In the parallelogram ,each 2 opposite sides are …………………………………………
k) In the parallelogram ,each 2 opposite angles are …………………………………………
l) ABCD is a parallelogram in which m(<A) = 60° , then m(<C) = ……………
m) In the parallelogram ,the two diagonals …………………………………………
n) The quadrilateral in which has only two sides are parallel is called ……………………
𝟏
o) In the parallelogram ABCD if m(<A) = m(<B) then m(<B) = ……………
𝟐
p) If two lines intersect, then each two vertically opposite angles are ………….
q) In  ABC if m (A ) = m ( B) = 70 , then m(  C) = …………......
r) The sum of measures of accumulative angles at a point is …………..….
s) The sum of measures of the exterior angles of the equilateral triangle= …………….
t) If two opposite sides in the quadrilateral are parallel, then it is called ……….
u) The measure of an interior angles of a regular octagon = ……..…
v) The parallelogram is quadrilateral whose diagonals are ……………………………
w) A parallelogram whose diagonals are perpendicular is called ……………………
x) A parallelogram whose sides are equal is called ……………………
y) A parallelogram whose angles are right angles is called ……………………
z) A parallelogram whose diagonals bisect each other is called …………………
aa) A rhombus whose diagonals are equal in length is called ……………………
bb) The two diagonals of the square are ……………………………………………………………
cc) The two diagonals of the rectangle are ……………………………………………………………
dd) The two diagonals of the parallelogram ……………………………………………………
ee) In the square the diagonals ……………………… its angles.
ff) In the rhombus the diagonals ……………………… its angles.
gg) ……………………… is a quadrilateral whose sides are equal in length and its angles
are equal in measure.
hh) ………………………. is a rhombus with right angles.
ii) ……………………… is a parallelogram with equal sides.
jj) ……………………… is a parallelogram with right angles.
kk)………………………. is a parallelogram with equal sides and right angles.
ll) ……………………… is a quadrilateral in which only two opposite sides are parallel.
2) From the opposite figure:
A
D
105°
E ∈BC , m(D) = 105° , m(B) = 95° ,m(DCE) = 100°
Find m(A)
E 100°
C
95° B
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3) From the opposite figure:
OL ∩ KN = {M} ,m(k) = m(P)=50° , m(L) =70°
m(O) = 130° , Find measure (N)
O
130°
k
50°
50°
M
70°
L
P
‫؟‬
N
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A
5) From the opposite figure:
AB // CD , AB // GH , m(<CDB) = 145° ,
m(<AGH) = 135°
Find measure angle DEG.
B
E
?
145
D
C
135
G
H
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6) From the opposite figure:
D
115
A
ABCD is a quadrilateral in which ̅̅̅̅
𝐀𝐃 //̅̅̅̅̅
𝐁𝐂
E ∈ ⃗⃗⃗⃗⃗⃗
𝐀𝐃 , m(EDC) = 115° ,m(ABC) = 65°
B 65
C
Prove that ABCD is a parallelogram
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7) From the opposite figure:
D
ABCD is a quadrilateral in which AC ∩ BD = {M}
AB // CD , m(<DAB) = 30° ,m(<DBC) = 40° ,
m(<DMC) = 70°
30°
70°
C
A
M
40°
B
Prove that ABCD is a parallelogram
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9) From the opposite figure:
m(DEC) = 46 , E 
A
D
44
, m(BAE) = 44 ABCD is a rectangle
Calculate m(AED)
46
C
B
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E
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01) From the opposite figure:
XYZW is a quadrilateral in which m(Z) = 100
W
4a
X 3a
Find the value of a?
6a
100
Z
Y
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00) From the opposite figure:
K
N
KLMN is a parallelogram in which m(L) = 60 and
m(LMK) = 50 find m(NKM) and m(NMK)
L 60
50
M
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