تﺎﻴﺿﺎﻳﺮﻟا - ict.moe.gov.om · ió``à``n Ø``r oj ¢```Sƒ```Ø```p tæ```dÉ``` Hp...
270
Transcript of تﺎﻴﺿﺎﻳﺮﻟا - ict.moe.gov.om · ió``à``n Ø``r oj ¢```Sƒ```Ø```p tæ```dÉ``` Hp...
-
الرياضيات
CB2 8BS
©
IGCSE
/
- -
( )
!
!
!
!
!
!
!
!
!!
!!
!
!
!
!
!!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!!
!!
!!
!
!
!
!
!
! ! !
r
r
r
r
(
(
(
(
!.
(r
!.
60° 58° 56° 54° 52° 26
° 22
° 20
° 18
° 24
°
58° 56° 54° 52°
26° 24°
22° 20°
18°
.
.
©
2018. 2018
.................
.....................
.........
.......
.....................
...........
Km0 50 100 150 200
ió``nà`` rØ``oj p¢``Sƒ``Ø``tæ``dÉ`` pH
t»pæ nW nƒ rdG oó«°ûsædG
AÉ``N sôdÉ pH »`ª n©rfG nh …ó n© r°SG nh
É````æ`d rß`` nØ rMG É```æ`sH nQ É``j¿É```W rhnC’G »``a nÖ r©`` s°ûdG nhG kó``````sj nDƒo ``e rΩ oó`````````n«```rd nh
¿É` £` r∏` t°` ù` dG ná````ndÓ```` nL¿É````````e nC’Gh uõ```` p©````rdÉ```` pHG kó``` sé``` nª``` oe kÓ```` pgÉ````Y
»ÑsædG pó r¡ nY rø pe oø rënf o¿Éª oY ÉjAÉ``ª s°ùdG nΩÉ`````g »```≤nJ rQÉ``a
pÜ nô n©rdG pΩGô` pc rø` pe oAÉ`«` pa rhnCGAÉ```« u°†`dG n¿ rƒ``` nμrdG »`Ä`n∏ reG nh
xiii
xi
xii
IGCSE
‘ ’ ‘ ’ ‘ ’
xiii
’‘
‘ ’ ‘ ’
‘ ’
xiv
Real number
Natural number
Integer
Prime number
Symbol Multiple Factor
Composite numbers
Prime factor Square Square root Cube Cube root
Directed numbers
�٢١٢
(
(
(
(
��
�
��
�١٦�
��
�
�
�
�
�
�
(
(
(
Eratosthenes‘ ’
٣١٣٢٣٣٣٤٣٥٣٦٣٧٣٨٣٩٣
٤١٤٢٤٣٤٤٤٥٤٦٤٧٤٨٤٩٤
٥١٥٢٥٣٥٤٥٥٥٦٥٧٥٨٥٩٥
٦١٦٢٦٣٦٤٦٥٦٦٦٧٦٨٦٩٦
١٢٢
٢٢٣٢٤٢٥٢٦٢٧٢٨٢٩٢
٧١٧٢٧٣٧٤٧٥٧٦٧٧٧٨٧٩٧
١١٢١٣١٤١٥١٦١٧١٨١٩١
١٩١٩٢٩٣٩٤٩٥٩٦٩٧٩٨٩٩٩
١٠٢٠٣٠٤٠٥٠٦٠٧٠٨٠٩٠١٠٠
٨١٨٢٨٣٨٤٨٥٨٦٨٧٨٨٨٩٨
٠١٩٩٦ ١٩٩٨ ٢٠٠٠ ٢٠٠٢ ٢٠٠٤ ٢٠٠٦ ٢٠٠٨ ٢٠١٠ ٢٠١٢ ٢٠١٤
٠٠٠ ٠٠٠ ٦٠
٠٠٠ ٠٠٠ ٥٠
٠٠٠ ٠٠٠ ٤٠
٠٠٠ ٠٠٠ ٣٠
٠٠٠ ٠٠٠ ٢٠
٠٠٠ ٠٠٠ ١٠
٠٠٠ ٠٠٠ ٨٠
٠٠٠ ٠٠٠ ٧٠
٢٠١٦https://www.mersenne.org/primes/
Great Internet Mersenne Prime Search
((
(
(
٤٨
٤١٢
٢٤ ٣
٢ ٢
٢
٣٦
١٢ ٣
٢٢
٤ ٣
٤٨٢٤١٢٦٣١
٢٢٢٢٣
× × × × =
٣٦١٨٩٣١
٢٢٣٣
× × × =
(
× × × × = × × × × =
= × × × × ×
× × × × = × × × × =
= × ×
(
(
(
(
(
(
(
(
(
(
(
٨ ٣
٢٢ × ٢ × ٣ × ٣ × ٣ × ٣
٣٣
}}} = = × ×
=
33 x ◻ x3 x2
xy x◻
× × × × × × × × = × ×
= 169 x2 3 1
= x3 125 x3 5 125 3 x ◻ 5
= 18 4 2 3
= 8 2 1 5 333
(
(
(
(
س = ١٨١ = سس = ٩س = ٢ ٦٤ئ�ئسئس = ٣٣١ ٣
٩٦٤١٤١٠٠٠٨١٤٠٠١٢٩٦١٧٦٤٨ ٣١٣٢٧ ٣٦٤٣١٠٠٠
٢١٦ ٣٥١٢ ٣٧٢٩ ٣١٧٢٨ ٣٥٨٣٢ ٣
٢٥١٢٥ ٣
٦٢٥ ٤
y x
5 y x 7
x
1 8 x 4 ٨١ ٤
(
٢٥ + ٩
(
(
(
(
(
()٣٢( )٦٤٣٣()٤٩٢ ٣٣٩١٦
١٠٠٣٦−١٠٠٣٦ −× ٢٥٤× ٢٥٤ ٤×٩٩ × ٤
٦٤٣٥١٢ ٣
٤٦٦٥٦ ٣١٥٦٢٥ ٣٥١٢ ٣
٧٢٩ ٣ ١٥٦٢٥ ٣
× × =
°
(
°
٥ ٧ ٩ ٨ ١٠-٩-٨ -٧-٦ -٥-٤ -٣-٢ -١٠١ ٢ ٣ ١٠- ٤ ٦
� � (
(
(
٤-٢-٠٢٤٦٨١٠
١٤ ٢١ ٢٨
°)
(
(
(
(
(
٥ - ١٢٣ - ٨
٢٧ × ٤ ٣ ٩ × ٦
×
= × = × = [ × ] =
١٠٠ - ٣٦٣٦ ÷ ٤
( × =
=
٤ + ٢٨١٧ - ٩
٣٢٨ =
=
٣٦ ÷ ٤٩
٣ + ٨١١
= +==
١٠٠ - ٣٦٦٤+
٤ + ٢٨١٧ - ٩
(
(
(
(
(
(
�
�
�
(
١٥ - ٥٢ × ٥
١٦ - ٤٤ - ٢
(
٣١ - ١٠١٤ - ٧
١٠٠ - ٤٠٥ × ٤
٨ + ٨
× + × ( + )( + × ) ( × )
9 2 3 4 ) 8 3 (
) 4 8 3 ( ) 1 5 2 (
+ × ( + ) ×
) (
[( ) × ]
( )
‘ ’
(
(
(
(
(
٢ + ٢٣٢٥ + ٤ × ١٠ - ٢٥
٢٦ - ١١(١٧ + ٤ +٤)٢
٣٣ - ٣٢ × ٨١
٢٣ - ٥ + ٦٤ × ٥
[١٨ ÷ (٣ - ١٢) + ٢٤] + ٣٠-٥ - ٨ - ٢٣
(
(
٠٫٣٤٥١٫٣٤ + ٤٫٢ × ٧
١٢٫٣٢ × ٠٫٠٣٧٨ ١٦ + ٨٫٠٥
٢٢ - ٥٫٠٩٨ ١٦ + ٠٫٠٨٧
٢٢٫٤٥ - ٢١٫٠٣ ١٩٫٢٣ × ٠٫٠٨٧
٣٢ × ٢٣ × ٦٤٦ × ١٢٥٢٨ + ٢١٩ ٢٤١ - ٣٢٣٦
٣١٫٤٥ - ٢٢٫٣٢٠٫١٣ - ٣١٫١٧ ٣
١٤+ + ١
٤١٤
١٤
٢٢٫٧٥١٢ - × ٣١٫٧ ٣
� (
(
(
(
(
(
(
(
(
(
(
(
�
٤٠٠
Fraction Vulgar fraction
Improper fraction Numerator Denominator
Equivalent fraction Simplest form Mixed number
Common denominator
Reciprocal Percentage
Rational number
Terminating decimal
Recurring decimal
= × = ÷
+ ( )
× = = =
= × = ÷ = × = ÷
‘ ’
= = ÷
= 15 = 0 6 × % 5 2 = × ١٥ ١
٤١
٦٠١
٢٥١٥×١٠٠ =
( )
÷ = ÷ =
÷ = ÷ =
÷ = ÷ =
.( )
. ÷ = ÷ = ÷ = ÷ =
.
. ( )
١٥١٨=٥
٦٥٦
.
.
.
(
(
- + +
+
+ =
=
.
. .
+
+ =
=
=
.
. .
.
( ) .( )
.( )
.
-
- =
- =
- =
=
=
.
( ) . .
.
.
.
× ×
= = × × = ×
٣٣ × ١ = ١٤
٧ × ٢٧ = ٢١ ×
٢٣٤
. .
.
= × × = ×
.
= × = ×
. = × = ×
‘ ’ ×
( )
. .
= × = × = ×
= × = ÷
÷ ١ ٥٨ ÷ ٦٧
٣ ÷ ٣٣٤ ÷ ١٢ ٤
١٣٢ = ٢ =
١٢٣٤٢ × ١
= ٣٤ ÷ ١٢ ١
٢ .
٧١ = ٧٤ ÷ ٣
٣ ÷ ٣٤
٣٧١ ×
١٧٤ =
٣٤ =
. ٧٣
٥٨ ÷ = ٥٨ ÷ ٢١١٥٨ × ٢ =
٥١٦ =
. ٢١
١٣١ ×
٢٦٧ = ÷ ٦٧ ٢٧ =
٣١
.
.
× ٫ ٫= × = .
× ٫ ٫٫ × =٫=
. ( )
.
= ×
٫ × =٫= . .
.
٫٫٫
٫
× =
(
×
. .
. = ×
(
. = × = × = × = .× ‘ ’
(
(
(
(
(
(
(
(
.
٤٠١٠٠ = ٢٥ × ٢٥١×٤٠١٠٠٤٠١٠٠ =٢٥١×٢٥
٢
٥٥
١ =٥١× = ٢١١٠ =
= ٣٫١١٠٠ = ٤٥١٠٠
× = ٦٥١٠٠ =
= =
. = =
= = = .
.
.
.
× = × = = ) .(
( = × = )
٫ × =٫ × ٫ ٫ = =
) .(
( = × = ٫ )
×٫ = == ٫ =
) ×٫ = =(
٫ =
(
(
=٫ = ×( )
) =٫ = ×(
.
×
= = ×
.
×
) 0 0 1 × 3 2 ÷ 8 1
.(
( ( ( (
( ( (
= × = × = ×
= × = ×
= ( )
٥٣×�٥١٠٥ ٢ ٠ ٠ ٠ ٠٥٥٤٥ ٣ ٢ ١
٫( )
× =
٫
( × ) × ( × ) = ( × ) × ( × )+ × =
× =
.
.
.
( × ) × ( × ) = ( × ) × ( × ) × =
× × = × × =
×
×
× ٫ × ٫ = ( × ) ÷ ( × )
- × = × =
.
.
( × ) × ( × ) ( × ) × ( × )
( × ) + ( × ) ( × ) ÷ ( × )
.
. .
( × ) + ( × )
= × = ×
+ = ( × ) + ( × ) =
× =
.
(
(
(
× × × × ×
× × × × × ×
× × × × × ×
× ÷ × × ÷ ×
× ÷ × × ÷ ×
× ÷ ×
× × ×
.
+
( × + × × - ×
× + × × - × × - ×
= ÷ = ÷ = ÷
= ÷ = ÷ .
.
.
.
٣٢١٠ ٠٫ ٠ ٤
٠٫٠٠٤= ٤ × ١٠-٣
.( )
( )
.( -)
١ ٢ ٣ ٤ ٥ ٦ ٧٠٠٫ ٣٠ ٠ ٠ ٠ ٠ ٤
÷ = - × =
-
( - × ) × ( - × )( - × - ) × ( × ) =
- + - × =- × =
. .
( - × ) × ( - × )
(
(- × - × - × - × - ×
( ) .
(- × + - × - × - - × - × + × - × - - ×
.
( × (
(
(- × × - × - × × - ×
- × × - × × × - × - × ÷ × × ÷ - ×
- × ÷ × - × ÷ × × - ×
.
EE Exp × 10x
‘ ×’
- ×
×
× =
= 4 ×10x 4 3 1 . 2 .
- × =
6 Exp 4 2 1 . 3 .
- × ×
.
.
.
( ÷
× ×
× × - × × ÷ × × + ×
× (
(- ×
- × - × (
= = = =
= = =
.
. ... =
... =
.
.
...
.
=
.
... =
... =
... = ... =
= = =
.
.
.
.
... = ... = - =
= = =
.
. ( ) ( )
.
... =
... =
... = ... =
= =
.
.
.
. . .. ..
... = ... = ... =
... = ... =
= = =
.
.
.
(
(
+ +
( - ( ) - ( ) - ( ) - ( )
+
+
(
(
-
--
� � - (
(
(
( ) (
(( )
( )( )( )
( )
( )
( )
(
(
(
(
( ) ( )( ) ( )( - ) ( - )( - ) ( - )
( ) ( )
‘ ’
‘ ’
Algebra
Variable ConstantEquation
Formula Substitution Expression Term Powers Index/Indices
Base Reciprocal
Expand/expansion
Simplify
.
.
=
.
.
.
.
- . .
٢ط
. ×
.
. .
(
‘ ’ .
‘ ’ .
.
(
(
.
.
(DVD) (CD) (
= = ( + )
( + ) × × = ( + )( + ) × × =
× = =
. .
.
.
.
.
- =
. - = - = - × = - = - × = - = - × = - = - ×
(
. ×
= =
-
( .
.
.
(
(
(
÷ × .
. +
+ .
.
-
. +
+ + + =
.( ) . .
- + + + - =
.( - ) .
.
+ - + + + =
.
.
+ - + - + + + + ‘-’ ‘+’
.
. -
.‘+’
‘+’ ‘-’ .
+ - + = - + =
+ + - =
(
(
(
.
(
(
٤ص - ٢
٢ص٤س
٩س
× ×
× × × = × × × =
=
. × .
.
٢س
س + ٧
سس ٢س + ٤
٢س
٤ص٢
× × × × × = × × × × × =
=
. ×
..
.
×
١٢س ص١٢س ص=٣س
٤ × ص=٣س١
٤
١ ( = ٤ص
.( .
٢س٢ × س × ٤ × س=٣
٣ × ٢٤
٤س×٢
= ٨ س٢
٦=
٤س٢٣
٣
٢س٣= ٤س×
٢١
١١س٤س×٣
١=٤س٢
٣
.
.
(
(
(
(
(
.
( - ) ( + )
( ) ( + )
× + × = ( + ) + =
× - × = ( - ) - =
× + × = ( + ) + =
× - × = ( - ) - =
.( )
.( )
( ) ( )
( )( )
( )
( )
( )( )
( )
( )
( )
( )
( )
( )
( )
( )
( )( )
(
(
(
س + ٧
س
س٢ - ١
٢س
٤س
س - ١
( ) + ( + ) + ( + ) + ( + )
+ + = + ( + ) + =
.
.
+ + = + ( + ) + =
.
.
- + + = ( ) + ( + )+ =
.
.
(
(
‘ ’ ‘ ’
.
× × × × × × × × ×
= × × ×
.
= × × × × × ×
.
.‘ ’ ‘ ’
.
‘ ’ ‘ ’
( ) .
.
: × × ×
= + = × .
= + = × .
+ × + × × = × =
.
: ÷
= - = ÷ .
= - × = × = . . ( )
× × = - × - × =
=
.
.
‘ ’ .
=
.
: ( ) ÷ ( ) ( ) ( )
× = ( ) =
.
( ) × × × × =
=
.
( ) ÷ ( ) × ÷ × =
÷ =- =
= =
.
.
. ( )
.‘ ’ ‘ ’
(
(
.
(
(
( )
( )( )
( )( )
�
.
- . = -
: ( - -
= = - = = -
: ( - -
= - = -
: . ( - × --( )
- × =
- = =
- × -
× =
+ =
=
( ) = -( )× × =
=
.
.
(
(
(
(
س م م١
: (
= = =
: ( ( - )
=
=
=
( - ) = ( - )
: . ( )
.
= ( ) = :.
�
:
( ) = ( ) =
=
× =
= ( ) =
( ) = =
. × =
(
(
٤٣
.
- × :
- =
- = - = =
‘ ’
(
(
(
(
(
(
� (
Line
Parallel AnglePerpendicularAcute Right Obtuse
Vertically oppsite
Corresponding Alternate Co-interior Triangle Quadrilateral Polygon Circle
Interior angle
Regular Irregular Bisector Chord Tangent Sector Arc Radius Diameter
Inscribed angle
Central angle
Straight angle
Revolution
Minor segment
Major segment
GPS
زاوية مركزية
�
المحـيـط
المركز
طر الق
نصف
القطر�
القطاع الأكبر
صغرالقطاع الأصغرالقوس الأ
القوس الأكبر
نصف القطر
القطعةالكبرى
الصغرىالقطعةوتر
نصف الدائرة
نصف الدائرة
المماس
زاوية محيطية
هو القوس الأصغر والزاوية تقابل
(
(
(
� الدائرة ١الدائرة ٢
.
(٢، ٣)
الخط المستقيم
��
رأس
زاوية
ضلع
الزاوية
٩٠
KكKك
.
.
.
� �
٩٠ >( ) ق
٩٠ >( ) ق
٩٠ >
K
K ( ) ق
٩٠ = ( ) ق
� �
٩٠ <٩٠ <
قك
قك ( ) ق( ) ق
١٨٠ =خط مستقيم
KK ( ) ق
� �
١٨٠ <( ) ق ( ) ق
١٨٠المنعكسة < المنعكسة
٣٦٠
.
.
.
.(CAD)
8070
6050
4030
2010
0
100 110 120 130
140150
160170
180
9080 70 60
50
4030
2010
0
100110
120
130
140
150
160
170
180
مركزالقاعدةخط اه مقياس مع اتجعقارب الساعة
اه مقياس عكس اتجعقارب الساعة
.
. ( ) ( )
ك
ابدأ عند٠
8070
6050
4030
2010
0
100 110 120 130130
140150
160170
1808
90 80 70 6050505050
4030
2010
0000
100110
120
130
140
150
160
170
180
اقرأ القياس من المقياس الداخلي
الضلع ددمد
٥٠= (( )ق
8070
6050
4030
2010
00
100 110 120 130
140150
160170
180
9090 80 70 6050
4030
2010
0
100110
120
130
140
150
160
170
180
اقرأ القياس من المقياس الخارجي
00 8
٠ ابدأ عند ١٠٥= كككك
)ك( )ق
)
.(
.
.
. = ( )
.
. = ( )
( ) ( )
( ) �
١٣٠80
70
60
5040
3020
100
100 110 120 130 140 150
160170
180
90 80 70 60 50 4030
2010
0
100110
120
130
140
150
160
170
180
�
١٨٠
� ( )
(
.
( )
٥٠80
70
60
5040
3020
100
100 110 120 130 140 150160
170180
90 80 70 60 50 40
3020
100
100110
120
130
140
150
160
170
180
اطرح قياس هذه الزاوية من ٣٦٠
� �
:
.
.
180170
160150
140
130120
110100908070
6050
4030
2010 17
0160
1501
40130120110100 80 70 60 50
4030
2010
0 018
0
.
.
٧٦
. .
.
= - .
(
زوجان من زاويتينمتقابلتين بالرأس
متقابلة بالرأس مع
مع أ بال متقابلة
=،=
٩٠ = +
:
. -
. -
١٨٠ = +
٣٦٠ = ++++
.
(
(
(
(
١١٢٥٠١١٥
٥٧
١٢١
٨٢٨٢٤٧
٧٢ ٥١١٩
١٤٢٢٧
٥٢٤٥
١٢٠٥٢
) .
.(
F
= �
�
= = =
Z
= =
كي
كيC
١٨٠ =
K
K١٨٠ = + +
Z F C
.
:
= ( ) =
= ( ) = ( ) =
( ) = + + �
- - = � =
( ) ( ) .
( ) ( ) .
= .
.
(
(
١١٢
٤٥
١٠٥
٧٢
٤٠
٣٩
٣٩
١١٠٩٥
٦٠
٤٥
٦٠
٩٨٦٥
٤٢١٠٥٤٠
٦٠٦٠
٨٢١٠٨
٧٥
١٠٥
و ي
٦٢٤٧
1 2 3 4 51 2 3 4 5
.
.
. = = =
٦ سم .
. ( = )
٦ سم
.
. .
.
٦ سم
.
. .
.
٦ سم
٤ سم ٥ سم
. .
.
.
.
.
(
.
.
(
(
٦٫٢ سم
٣٫٧ سم ٥٫٤ سم
٤ سم
٥ سم ٥ سم
و
٥ سم
٨ سم ٤ سم
ي
( )
.
. .
.
.
.
.
) (
.
.
. .
(
(
(
(
(
(
(
٦٠
٦٠٦٠
.
.
.
.
خط مستقيم
+ = قياس الزاوية الخارجية
. .
.
.
. : ٨٢
٣٠
٣٥٧٠
= + + - - =
=
( = )
= + + - - =
= =
= + + = + + - - =
= =
( = )
( )
( = )
( )
. :
٨٠
٦٠٧٠
١٢٥
٤٠١١٠
٤٠
+ = =
( )
.
. ٥٠
= ( )
- - = � =
( )
= ( )
= � - - = �
=
( )
( )
. ( )
.
+ = - =
=
( )
+ = - =
=
( )
(
(
(
٥٧ ٦٩K و
٤٨
٤٠
٢٥
١٢٠
٨٤
٢ ٤
١٠٥٩٥
٦٨
٥٦٦٨٥٩
٥٨K
٣٥٦٠
٢٩٥
ق ( ) ( ) =ق ( ) ( ) =قق
°
°
ق ( ) ( ) =ق ( ) ( ) =قق
( ) قق ( ) =ق ( ) ق ( ) =
°
‘ ’
.
. .
.
:
ك٧٠٦٥
K
ك٧٠
١٤٥٨٠
° = ° =
° =
( ) ( ) ( )
° = ° + ° - ° = �
° = ° =
( )
( )
(
(
ك
١١٢
ك٦٢١١٠١١٠
ك K٩٢
٩٨١١٠
ي٢و
٤٣
٧٠ك٥٥K
ك Kئ�ئك
٩٨
ك٧٠
.
.
° - ° = ° - ° -
° =
° = �
° - ° - ° = �
° =
( )
( )
( )
سباعيسداسيخماسي
عشاريتساعيثماني
.
° × ( – ) = ° × ( – ) =
° = =
=
= :
.
°
× ( - ) = - = - = = +
= �
.
.
.
.
.
°
�
°
(
(
(
.
.
(
(
١٣٠ ١٣
٠
١٤٠
١٢٠١٧٠
١٠٠
٧٢
. .
�
�
° �
°°
°°
°
�
�
°
°
°
(
(
((
(
(
(
يو
٨١
Kك
٦٥٣٠
كي
K
١١٢
١١٠K
٣٥ك
٢
٢
كK
ي
Estimate
Lower bound
Upper bound
:
( ) =
( ) =
.
( ) =
.
.
.
.
:
( ) =
.
( ) =
. .
.
(
(
(
.
.
�
:
= ==
+ + ≈ .
:
( ) + =
.
≈ - - =≈=
.
- +
( ) .
.(=)
(
(
(
(CD
CD CD
( )( )
( )
( )( )
� �
.
.
.
.
.
(
(
(
,
(
(
(
� �
) = ( ) = : (
� � � �
( ) ( )
( + ) ( ) + ( ) =
+ = =
( + ) ( ) + ( ) =
+ = =
� ( + ) � �
( ) ( ) × ( ) =
× = =
( ) ( ) × ( ) =
× = =
� � �
- +
( ) ( ) :( )
( – ) – =
– = =
( - ) ( ) – ( ) = – =
= � ( – ) � �
( ) ( ) =
=
... = ≈
( ) ( ) =
=
≈ =
� � �
. – .
(
(
−
(
(
(
(
(
(
‘ ’ (
(
(
(
(
Linear equation
Common factor
Factorise/Factorisation
Simultaneous equations
Inequality
Formula
( ) ( )
:
( + ) -
- - = ( + ) -
- = × -
- = × -
( + ) – ( – ) – = ( – )
– – = ( + ) –
( + ) – ( – ) – – – =
– – =
( -) .
.
( – ) – ( + ) + = ( + )
+ - = ( – ) –
( – ) – ( + ) + - + =
+ - =
( -)
. ( -)
.
( - ) - ( + ) ( + ) - ( - ) ( + ) -
: . (+) = (+) × (+)
(-) = (-) × (+)
(+) = (-) × (-)
(
(
(
.
.
∴
‘ ’
:
+
( + ) = +
( ) .
= × = ×
–
( – ) = –
( ) ( )
= × = ×
- + ( – ) – ( – ) –
–
= – ( – )
( ) = ×
– = - ×
.
( – ) – ( – )
= ( – ) – ( – ) [ ( - ) - ]( – )
( ) ( – ) ( – ) ( )
( – ) ( – ) = × ( – ) ×
= ( - ) - × ( – ) × ( - )
.
.
.
(
(
(
٣٢ ١٢٧٨
٣٤
.
‘ ’
.‘ ’
( )
( )
( )
+ =
= +
- = - =
.(=)
.
. ( + ) =
( + ) = + = � = – �
– =
. .
.(=)
. ( + ) × =
( + ) × = + = � = – �
= ( - ) �
( - ) = �
. .
.
.( )
(
(
(
(
(
(
(
( (
(
(
(
(
(
(
=
= =
± =
( )
= . =
± . ± = ± =
.
.( ) =
= =
= ×× =
.
(
(
(
(
(
(
(
١٣+١×٣س
١- ١٢ ٣÷ ٤
‘ ’
.
.
.
.
.
( )
.. −
:
+ = - - + = - -
= - + = + -
= ٨٢
٢س٢=
=
.
. .
:
- = + + - = + +
= + - = - +
= ٨١٦
١٦س١٦=
١٢ =
.
.
+ = -
- = +
:
= ( + ) + ( - ) = + + - =
٣٠٦ ٦ص =
٦ =
.
:
× = ×
= ٣٥٣ = ٧٠
٦ =
.
= ( + ) + ( - )
=
.
=
= =
=
: ) (
= = ( . (
(
٢س + ١٢س= ٣٨
١ = ٣٨ + ٣س + ٣ س + ١١ = ٥٢١
= س٢٢س - ١
٣س= ٣س٣ + ٥ = ٢س٢
(
(
(
١٤
١٢
(
.
.
(
: ( ) = - ( ) = +
= + ( ) - = ( ) = -
= ( - ) - = + - + = +
= =
( ) ( ) -
. .
.
( ) – = - =
- =
( ) .
.
- = =
. .
= - = ( -) - ( )
.
= + = ( -) + ( )
: ( ) = - ( ) = +
( ) = - ( ) = +
=
.
= = =
=
. ( )
= + = + =
( ) .
= - = - ( ) ( ) ( )
: ( ) - = + ( ) - = +
( ) - = + ( ) - = +
- = - =
. ( ) = – .
( ) ( ) ( )
( ) ( )
- = + - = + ( -) =
( ) - =
- = + - = + ( -) = + – = ( ) =
.
– = ( –) – –
: ( ) = - ( ) - = +
( = - ) × ( ) = -
( ) .
.
( )
( )
- = + = -
- = - =
( ) ( )
= - = ( -) -
= + =
( )
- = - = ( -) + ( ) = + ( )
: = -
- = +
( ) = - ( ) - = +
.
.
× = ( - ) × ( ) = -
- × = ( + ) × ( ) - = +
.
.
= - - = +
= =
( ) ( )
= - = - ( )
- = - =
. ( )
- = - = ( -) + ( ) = + ( )
: ( ) - = ( ) + =
( ) = - .
( )
( ) = + ( )
( ) = - ( ) = +
= - - =
( ) ( )
= ( -) - = + = =
( ) .
= - = ( -) + ( )- = = �
( )
(
(
(
.( ) ( )
.
.
(
.( ) . ‘ ’
(
(
(
.
(
(
(
.
.
. .
. �
: = - =
= �
. .
.
.( ) �
= + + + =
= = �
= ×
.
.
(
(
(
(
(
.
(
(
(
(
A
�
س < ٤
٥-٤ -٣-٢ -٢١٠١ ٣ ٥- ٤
‘ ’
�
٥-٤ -٣-٢ -٢١٠١ ٣ ٥- ٤
س ≥ -٢
. ( )
( )٢ -٢١٠١ ٣ ٥- ٤
س > ٣ ( )
’ ‘ ’ .. ‘
� � - � � � � � ( )
٤ < ص < ٨ ٥ ٧ ٢ ٣ ٨ ٤ ٩ ٦
.
. �
) .(
� )
.(
.( )
– .
( )( )
( ) ( ) ( ) . ( ) ( ) .
( )
(
(
���
���
� �� �� �
� �� �� �
� �� �� �
� ��� � �
:
� - � �
� �
.
( - ) -
�
.
.
( - ) � – � – + � –
�
�
�
�
‘ ’
( - ) :
-
:
.
.
+ � - - + � - -
� - � �
. ( )
. .
� - � -
- --
-
_
-
�
�
�
.
�
�
�
�
�
(
(
��
��
�
��
�
��
��
��
��
��
��
��
�
��
��
�
.
(
(
(
(
(
(
(
(
(
(
(
(
(
Equation of a line
Gradient
y-intercept
Constant x-intercept
Line segment
Midpoint
١٥٠
٢٠٠
١٠٠
٥٠
٢ ٤ ٦ ٨ ١٠
( ) ( ) + = - ( ) .
- - - :
- - -
- -
- ( )
٤- ٣- ٢- ١- ١ ٢ ٣
٢-٣-
١-
١٢٣٤
٥٦٧
( )
.
+ =
:( - ) - -- -
١٥٢٠٢٥٣٠٣٥
١٠٥
١ ٢ ٣٥-
١٠-
٢- ١-
١٥-
.
: .
.
.
(
(
(
٤-٣-٢-١-
١٢٣٤٥
٤- ٣- ٢- ١- ١ ٢ ٤ ٥٥-
٥-
ص = -٢
س = ٣
٣
(
٢-
٧-
١-
٢
٣-
١
٤-
٣
٤
٧
٧-٢- ٤-٣- ١- ١ ٢ ٣ ٤ ٧
Ï
٦-٥- ٥ ٦
٥
٦
٥-
٦-
(
‘ ’
٤-
١٠-
٢-
٤
٦-
٢
٨-
٩
٨
١٠
٤- ٢- ٢ ٦٤
.
.
.( ) ( )
= = - - =
( ) ( ) =
.( ) ( )
- = - - = ( )
( ) =
٢
١
٣
٢-١-
٢ ٤ ٦
٢-
٢
٤٦
٨
١٠
١٢
٢- ٢ ٤ ٦
.( ) ( )
( ) ( ) =
= = - - =
١٧ - ٥ = ١٢
(٧، ١٧)
(٣، ٥)٧ - ٣ = ٤
(
(
(
٦٤٢
٢٢- ٤ ٦٢-
٦٤٢
٢-٢٢- ٤ ٦
٦٤٢
٢-٢٢- ٤ ٦
٦
٤
٢
٦- ٤- ٢- ٢٢-
٦٤٢
٦- ٤- ٢- ٢٢-
٨١٠١٢٦
٤
٢-
٢
٢ ٤٢- ٦
٦٤٢
٢-٢٢- ٤ ٦
٦٤٢
٢-٢٢- ٤ ٦٤-
٢-
٦-
٦- ٤- ٢- ٢
٢١٥
: .
.
٤-
٢-
٤
٢
٤- ٢- ٢ ٤
ص = ٣س + ٢
٤-
٢-
٤
٢
٤- ٢- ٢ ٤
ص = -٢س + ٤
٤-
٢-
٤
٢
٤- ٢- ٢ ٤
١ص = س - ٢٣
ص = م س + ج
.
.
:
+ = =
= ( )
+ - = - =
=
( ) + = ( )
+ = =
= .
+ - = - =
=
+ =
= + + - = + - = + - =
- = =
+ =
+ = - = + = = + = +
:
+ =
:
– = = – =
= =
– =
= - = + - =
- = - = =
٢-١-
٢
١- ١
١
٣٢
٢-١-
٢٣٤٥٦
١٢- ١- ١ ٢
(
(
(
(
,
٢-١-
٤-٣-
٩-
٦-٧-٨-
٥-
٤-٣-٢- ١- ١ ٢ ٣ ٤١٢
٢-١-
٤-٣-
١٢٣
٦٥٤
٧
٤-٣-٢- ١- ١ ٢ ٣ ٤
١-٢-١٢٣
٦٥٤
٧٨٩
٤-٣-٢- ١- ١ ٢ ٣ ٤
١-٢-١٢٣
٦٥٤
٧٨٩
٤-٣-٢- ١- ١ ٢ ٣ ٤١-٢-١٢٣
٦٥٤
٧٨٩
٤-٣-٢- ١- ١ ٢ ٣ ٤١-٢-١٢٣
٦٥٤
٧٨٩
٤-٣-٢- ١- ١ ٢ ٣ ٤
١-٢-
٤-٣-
٦-٥-
١٢٣٥٤
٤-٣-٢- ١- ١ ٢ ٣ ٤
٢-١-
٤-٣-
١٢٣٥٤
٤-٣-٢- ١ ٢ ٣ ٤١-
٦
٢-١-
٤-٣-
١٢٣
٥٤
٤-٣-٢- ١ ٢ ٣ ٤١-
٦
(
٤-٢-
٤
٦-
٢
٦
٨
١٠
٤- ٢- ٦٦ ٤ ٢- ٨
١٣ص = - س + ٢
١٣ص = - س + ٤
٤
٢
٦
٨
١٠
٤-٢-
٦-
٤- ٢- ٦٦ ٤ ٢- ٨
١٣ص = - س + ٢ص = ٣س - ٤
-
.
: + =
+ = - =
= . - =
=
+ - = = − =
+ ( -) - = + =
- = - - =
. ( ) - =
.
. .( -)
(
(
(
–
(
(
(
(
(
(
(
(
٤-
١٠-
٢-
٤
٦-
٢
٨-
٦٨
١٠
١٠-٤- ٨-٦- ٢- ٢ ٤ ٦ ٨ ١٠
ص = ٣س - ٦
.
:
– =
: - = =
:
= - = =
٤-
١٠-١٢-
٢-
٤
٦-
٢
٨-
٦٨
١٠
١٠-٨-٦-٤-٢- ٢ ٤ ٦ ٨ ١٠ص = ٦س - ١٢
+ - =
: = =
:
= + - = =
٤-٢-
٤
٦-
٢
٨-
٦٨
١٠-٨-٦-٤- ٢- ٢ ٤ ٦ ٨ ١٠
١٠
١٠-١٢-
ص = -س + ٣
= +
: = =
=
: = = =
٤-٢-
٤
٦-
٢
٨-
٦٨
١٠-٨-٦-٤- ٢- ٤ ٦ ٨ ١٠
١٠
١٠-١٢-
٢
٢س + ٥ص = ٢٠
= + + - = – =
(
(
. :
.
= +
.( ) ( )
٢
٤
٦
٨
١٠
٢ ٤ ٦ ٨ ١٠
٦
٨
(١، ١)
(٧، ٩)
ج
+ = + =
= =
=
( )
.
.( ) ( )
( ) ( ) ( )
( )
: ( ) + ( ) = ( )
+ = ( ) = ( )
. = =
) : ( (٣، ٦)
(٧، ٣)
( ) = + .
٢
٤
٦
٨
١٠
١ ٢ ٣ ٤ ٥
(٣، ٤)
(٥، ١٠)
( )
( )
(
٢ ٤ ٦ ٨٨- ٦- ٤- ٢-
٢
٤
٦
٨-٦-٤-٢-
٨
وك
ي
(
.
((((
(
(
(
(
(
(
(
(
(
(
٢
٤
٦
٨
١٠
٢ ٤ ٦ ٨ ١٠(٢، ١)
(٤، ٧)
(٨، ٣)
٣- ٢- ١- ١ ٢ ٣
٢-٣-
١-
١٢٣٤
٥
١- ١ ٢ ٣١-
١٢٣٤
٥
٤
Symmetry
Line of symmetry
Rotational symmetry
Symmetrical
Order of rotational symmetry
Centre of rotation
Plane symmetry
Axis of symmetry
Transformation
Rotation
Translation
Enlargement
Image
Vector
المثلث (ب) المثلث (أ)
.
عدد لا نهائي من محاور التماثل
٤ محاور تماثل٣ محاور تماثل محورا تماثل
١٨٠ ٩٠٢٧٠
البداية
٣٦٠النهاية
.
.
.
.
.
.
(
(
(
(
.
.
.
(
(
(
محور التماثل
(
(
تكبير
ʹ
انسحاب
ʹ
انعكاس
ʹ
دوران
ʹ
ʹ
ʹ
ʹ
ʹ
ʹ ʹ
ʹ
ʹ
ʹ
ʹ
ʹ
ʹ
�
ʹ
ʹ ʹ
ʹ
.
.
.
.
٣
٣
٢٢ʹ
ʹʹ
.
. .
. .
:
١ ٢ ٣ ٤ ٥ ٦ ٧ ٨١٢٣٤
ʹ
١ ٢ ٣ ٤ ٥ ٦ ٧ ٨١٢٣٤
ʹ
( )
.( )
.
= ( )
.
.
.
.
: ( )
٣- ٢- ١- ١ ٢ ٣٢-١-
١٢
٣- ٢- ١- ١ ٢ ٣٢-١-
١٢
ʹʹ
. ( = )
. ( = )
( ) .( ) .
( ) ( ) . ( ) ( ) .
( ) =
٤-٥-
٣-٢-١-
١٢٣٤٥
الشكل ( )٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
=
.( )
الشكل ( )
الشكل
٤-٥-
٣-٢-١-
١
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
ص = س( )ʹ٣
٤٥
٢
(
(
٤-٢-
٢
٤
٢ ٤ ٦
٤-٢-
٢-
٢
٤
٢ ٤ ٦
٢ ٤ ٦٢-
٤-٢-
٢
٤
(
٣- ٢- ١- ١ ٢ ٣١٢٣
٩٠
مركزالدوران
الصورةالشكل الأصلي
(
(
٢
٤
٢ ٤ ٦٢-
K
ك
١-
١٣- ٢- ١- ١ ٢ ٣
K ٣٢
ʹʹ
ʹ
قطعة مستقيمة
صورة القطعة
مركزالمستقيمة الدوران
صورة النقطة
النقطة
يقع مركز الدوران على ف العمودي هذا المنص
ك
ك
( )
.
.º
: و
(ئئئ)
(ئ)ʹ وʹʺ ʺ
ʹʹ
ʺ
و
وʺ
( ) ( )
.( ) ( ) ( ) ( ) ( )
٣٤٥٦٧٨٩
١٠
١٢
١ ٢ ٣ ٤ ٥ ٦ ٧ ٨ ٩ ١٠
مركز الدوران
( )ʹ
( )
.( )
. .( )
(
٢- ٢
٢
٤
(
(
(
ʹʹ
ʹʹ
ʹ
ʹ
ʹ
ʹ
ʹ
٢- ٢ ٤ ٦٢-
٢
٤
٢-٢-
٢
.
.
(
٢
نافذة
نافذة
باب
تلفاز
أريكة
طاولة القهوةكرسي ١
كرسي ٢
٤-٣-٢-١-
٦-٥-
٤٥٦
٣
١٥- ٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥ ٦
( )
٨- ٦- ٤- ٢- ٢ ٤ ٦ ٨ ١٠
٨-
٤-٢-
٢٤٦٨
٦-
موقع موقع
موقع
( )
موقع
موقع
.
. .
.
( )
(
(
(
( )
( )( )
( )
( )
( )
( )
( )
( )
(
(
(
( )( )
�
.
. ʹʹ
٢٥ ممʹʹ ٥٠ مم
ʹʹ
ʹʹ
. .
.
=
= = =
. :
١٢٣٤٥٦٧
١ ٢ ٣ ٤ ٥ ٦ مركز التكبير٧
ʹ
ʹ ʹ
ʹ
الصورة
الأصليالشكل
.
ʹ
ʹʹ
ʹ
. .
( )
= .
٣٤٥٦٧٨٩
١٠١١١٢١٣١٤١٥
١٢
١ ٢ ٣ ٤ ٥ ٦ ٧ ٨ ٩ ١٠١١١٢١٣١٤١٥١٦١٧ ١٨١٩٢٠٢١ ٢٢
. .
( )
( ) = ( ) = ( ) = ( ) = ( ) = ( ) = ( ) = ( ) =
.
٣٤٥٦٧٨٩
١٠١١١٢١٣١٤١٥
١٢
١ ٢ ٣ ٤ ٥ ٦ ٧ ٨ ٩ ١٠ ١١ ١٢ ١٣ ١٤ ١٥ ١٦ ١٧ ١٨ ١٩ ٢٠ ٢١ ٢٢
ʹ
ʹ ʹ
ʹ
.
.
. -
٢-
٧-٨-٩-
١-
٢
٣-
١
٤-
٣٤
٧
٨-٧-٢- ٤-٣- ١- ١ ٢ ٣ ٤ ٦-٧٥- ٥ ٦
٥٦
٥-٦-
١-
٤٤٤٣٣
١١١
ʹ ʹ
ʹ ʹ
٢ ١
-
( - -) ( ) ( - -) ( ) ( - -) ( ) ( - -) ( )
.
.
.
.
(
(
مم
ʹʹ
ʹ
٢
٢٤٦٨
١٠
٤ ٦ ٨
ʹ
ʹ
ʹ
ʹ ٤٦٨
١٠-٨-٦-٤- ٢- ٢٢-
٢
٣- ٢- ١ ٢ ٣
١٢٣
ʹʹ
ʹ
٣-٢-٢-١-١
٢-
٤٦٨
١٠
٤- ٢ ٦٢-
ʹ
ʹ
٦- ٨
ك
ك
KK ʹ
٤
( )
:
( )( )
( )ʹ
. ( ) .
.
.
ʹ
. ( ) .
.
.
( ) ( ) ( ) ( ) ( ) ( )
�ئئئلخ� لخ
لخʹ ʹ� لخ
( ) ( ) -
:
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
٢-١-
١٢٣٤٥
( )
( )
( )
٤-٥-
٣-
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥١-
١٢٣٤٥
( )
( )
( )
(ʹ )٤-٥-
٣-٢-
- - =
( ) .
( ) - - =
( ) .( ) ( ) - =
.( - -)
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
٢-١-
١٢٣٤٥
( )
(ʹ )
( )
( )٤-٥-
٣-
.( ) ( )
.
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
١٢٣٤٥
( )
( )
( )ʹ( )
٤-٥-
٣-٢-١-
( ) - =
٥-٤- ٣- ٢- ٢ ٣ ٤ ٥
١٢٣٤٥
( )
( )
٤-٥-
٣-٢-
١-١- ١
( - -)
.
(
(
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
٤-٥-
٣-٢-١-
١٢٣٤٥
٥-
١٢٣٤٥
٥-٤-١- ١-٢-٣- ١ ٥٢ ٣ ٤
٢-٣-٤-
٥-
١٢٣٤٥
٥-٤-١- ١-٢-٣- ١ ٥٢ ٣ ٤
٢-٣-٤-
٥-
٥-٤-١- ١-٢-٣- ١ ٥٢ ٣ ٤
٢-٣-٤-
١٢٣٤٥
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
٤-٥-٦-٧-
٣-٢-١-
١٢٣٤٥
و
(
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
٤-٥-
٣-٢-١-
١٢٣٤٥
(
٤-٥-
٣-٢-١-
١٢٣٤٥
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
و
(
٣
١-٢-٣-٤-٥-٦-٧-
١٢
٧-٦-٥-٤-٣-٢-١- ١ ٢ ٣ ٤ ٥ ٦
ووووو
(
٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
٤-٥-
٣-٢-١-
١٢٣٤٥
K
وكوووو
(
٦-٥-٤- ٣- ٢- ١- ١ ٢ ٣ ٤ ٥
٤-٥-
٣-٢-١-
١٢٣٤٥ي٦
Kك
(
١ ٢ ٣ ٤ ٥ ٦ ٧ ٨ ٩-٨-٧-٦-٥-٤-٣-٢-٩١-١٢٣٤٥٦٧٨٩
١٠
(
١ ٢ ٣ ٤ ٥ ٦ ٧ ٨ ٩-٨-٧-٦-٥-٤-٣-٢-٩١- ١-٢-
١٢٣٤٥٦٧٨٩
١٠
K
ك
( )
(
(
(
(
١ ٢ ٣ ٤ ٥ ٦ ٧ ٨ ٩ ٣-٢-١٠١-١٢٣٤٥٦
( )
( ) ( )( )
١-٢-٣-
( )
١ ٢ ٣ ٤ ٥
١٢٣٤
( )
(
٢ ٤ ٦ ٦-٤-٨٢-٢-
٢٤٦٨
ʹ ʹ
ʹ
(
(
(
٢ ٤١ ٣ ٥٢-
٢١
١-( )
٦ ٨٧ ٩( )
١ ٢ ٣ ٤ ٥ ٦ ٧ ٨ ٩ ٣-٢-١٠١١١-١٢٣٤٥٦٧٨٩
١٠١١١٢
( )( )
( ) ( )
Sequence Term
Term-to-term rule nth term rule
Set Element Empty set
Universal set
Complement Union Intersection Subset Venn diagram
Set builder notation
٣٢ ٢٦ ٢٠ ١٤ ٨ ٢٦ + ٦ + ٦ + ٦ + ٦ +
...
١...
٢ ÷ ٢ ÷ ٢ ÷ ٢ ÷
١٢
١٤
١٨
١١٦
...٢ × ٢ × ٢ × ٢ × ٢ ×
٣٢ ١٦ ٨ ٤ ٢ ١
.
.
.
.
.
.
(
(
- -- -
- -
= = × = = × = = ×
(
= = + ×
= + × = + ×
...٣ + ٣ + ٣ + ٣ + ٣ +
٢٠ ١٧ ١٤ ١١ ٨ ٥
...٤ + ٤ + ٤ + ٤ + ٤ +
٢٢ ١٨ ١٤ ١٠ ٦ ٢
=
= × = = –
= = - × = -
- = ∴
.
. ( )
) .(
=
.
. = .
= ∴ = – ×
=
.
.
... .
. .
(
(
( )
.
- -
= –
+ = + – = = =
.
= -
.
= –
= = =
( ) =
.
= -
.
(
(
(-
(
- = = =
= =
... ... ... -
٢٥ ١٦ ٩ ٤ ١
=
.
(
-
١٢٣
٣
٢
٢
١١
٣
١٥ ١٠ ٦ ٣ ١
ح٥ ح٤ ح٣ ح٢ ح١
...٢ × ٢ × ٢ × ٢ ×
٣٢ ١٦ ٨ ٤ ٢
(
...
...
...
...
.
= = ‘ ’
= =
=
=
. �. �
= . � �
.
.
.
.
( ) .
� .
�
. =
� �
(
(
= =
.
. �. �
.
. = =
(
( � =
= � = � { =
� =
= = =
.
= =
=
∪
∪
∩ ∩
= = ∩
= ∪
⊃
⊇ ⊇. � ⊇
.
.
⊃ .
.
∪∩
⊃⊇�
. = =
( ) = ∪
= ∩
= ∪
. = ∩
.
( ) � � . �
.
: ( )
∩ ∪ ⊃ ( )
. = = (
= = (
= = (
= (: = =
∪ ( ∩ ( ∩
∪
. ⊃ ∩
∩ ( ∪ ( �
∪ ∩
∪
. = = (
∪ ( ∩ (
∪ ( ∩ (
.
∪ = ∪ ∩ = ∩
. = =
=
١٢
٣
٤٥٦
٧٨
٩
١٠
ش
ش ش ش
ش
٦ ٤ ١٣
٧
ش€
ش
ش ش ش
..
=
=
∪ ∩
∪ ∪
. ⊃
.
.
: =
= =
ش
أب
دج
وحك
طز ي
ه
= ∩ .
= ( ∩ ) . ∩
= ∪ = ∪ .
= ( ∪ ) . ∪
= ∩ = ∩
.
. ∩
.( ∩ ) ∪
.( ∪ ) ∩
(
∩ ∪
٦١٨ ٢٤
١٢٤ ٨١٦٢٠ ٢
١٠
٢٢
١٤ش
(
(
(
. =
=
: ( (
: (
(
= = =
= =
جهأ ح
وز
ي
طب
د
ت ش
◊١٠ ٨ س٦
ش
( . ∩
ش
(
(
∪ ∪ ∪ ∪ ∪ ∩
∩ ∪ ∪ ∪ ∩ ∪ ∩
ش
= . =
=
=
=
� � � : =
= ’ :‘
� �
: =
: = .
(
(
(
(
(∩
(� �
� �
� �
∩ ∩ ∩ ∩
∪
- :
∪
∩
⊃
(
(
(
(
(
(
شش
∪∩
شش
K
∩∩ ∪
Union
∪
Index/ indices
Base
Directed numbers
°Translation
Numerator
Factorise/Factorisation
Transformation
Perpendicular
Substitution
Intersection
∩
Estimate
Enlargement
Symmetry
Line of symmetry
Plane symmetry
Rotational symmetry
Parallel
Constant
Algebra
Square root
Cube root
X-intercept
Y-intercept
Term
Lower bound
Upper bound
nth term rule
Circle
Rotation
° Revolution
Order of rotational symmetry
Symbol
Angle
Alternate angles
Co-interior angles
Corresponding angles
Vertically oppsite angles
° � � ° Acute angle
Exterior angle
Interior angle
° Right angle
Inscribed angle
Central angle
° Straight angle
� °° �
� ° Obtuse angle
° �
Quadrilateral
Image
Formula
Set builder notation
Factor
Prime factor
Common factor
Expression
Prime number
Real number
Integer
Natural number
Recurring decimal
Terminating decimal
Composite numbers
Mixed number
Rational number
Element
Expand/ expansion
Term-to-term rule
Sector
Diameter
Minor segment
Major segment
Line segment
Powers
Arc
Fraction
Vulgar fraction
Improper fraction
Fraction in simplest form
Equivalent fraction
Triangle
Set
Subset
Empty set
Universal set
Complement
Inequality
Sequence
Vector
Variable
Symmetrical
Axis of symmetry
Venn diagram
Square
Centre of rotation
Line
Multiple
Polygon
Regular polygon
Irregular polygon
Simultaneous equations
Equation
Linear equation
Equation of a line
Denominator
Common denominator
Cube
Tangent
Gradient
Radius
Midpoint
Chord
mauritius images GmbH/Alamy Stock Photo; Littlebloke/iStock/Getty Images Plus/ Getty Images; Axel Heizmann/EyeEm/Getty Images; DEA PICTURE LIBRARY/De Agostini/Getty Images; TERRY MCCORMICK/Getty Images; KTSDESIGN/Science Photo Library/Getty Images; akiyoko/Shutterstock; Beata Tabak/Shutterstock;Panoramic Images/Getty Images; Image Source/Getty Images; Rathna Thamizhan/ Shutterstock; Fat Jackey/Shutterstock; Vitoria Holdings LLC/Shutterstock; MahmoudGhazal/Shutterstock;Richard Sharrocks/Getty Images
