Republic of Yemen English Section
Ministry of Education Subject: Mathematics
Education Office Grade: 10
Public and Private Sector 50 Max Mark: 60
The United Schools of Yemen Duration: 40 min
Name: -------------------------------------------------------------------- Date -----------------------
1 Put ( T ) or ( F ) and correct the mistake :
(a) Pythagoras theorem is specialized of right-angled triangles only. ( )
(b) √3 85=30 ( )
(c) −2 x+3>−11 , X is a prime number { 2 , 3 ,5 } . ( )
( )
−1
(d) 4 2 =2 .
(e) In direct variation both sides are increased or decreased ( ) [5]
2 Simplify the following :
2 2
x + 4 x+ 4 x +x
a) 2
÷ 2 =¿
x −4 x −x−2
................................... [3]
x+ 5 4 x +12
b) 2
− 2
x +2 x−15 x −9
=¿
................................... [2]
: Make X the subject of these formulas 3
The United Schools of Yemen 2022/2023 Page 1 of 5 Mathematics 10E 2 nd Half-1st Oct.
, a) ax +b=c
x=¿ ................................... [2]
(x ¿¿ 2+4)
b) n
2
=m¿
x=¿ ................................... [2]
b
c) a−x
=g
x=¿ ................................... [2]
d) √ x−1
x+1
=m
x=¿ ................................... [3]
4 a) Y varies as Z , and Y = 6 when Z = 4 . Calculate the value of
Y , when Z = 2 .
The United Schools of Yemen 2022/2023 Page 2 of 5 Mathematics 10E 2 nd Half-1st Oct.
Ministry of Education Subject: Mathematics
Education Office Grade: 10
Public and Private Sector 50 Max Mark: 60
The United Schools of Yemen Duration: 40 min
Name: -------------------------------------------------------------------- Date -----------------------
1 Put ( T ) or ( F ) and correct the mistake :
(a) Pythagoras theorem is specialized of right-angled triangles only. ( )
(b) √3 85=30 ( )
(c) −2 x+3>−11 , X is a prime number { 2 , 3 ,5 } . ( )
( )
−1
(d) 4 2 =2 .
(e) In direct variation both sides are increased or decreased ( ) [5]
2 Simplify the following :
2 2
x + 4 x+ 4 x +x
a) 2
÷ 2 =¿
x −4 x −x−2
................................... [3]
x+ 5 4 x +12
b) 2
− 2
x +2 x−15 x −9
=¿
................................... [2]
: Make X the subject of these formulas 3
The United Schools of Yemen 2022/2023 Page 1 of 5 Mathematics 10E 2 nd Half-1st Oct.
, a) ax +b=c
x=¿ ................................... [2]
(x ¿¿ 2+4)
b) n
2
=m¿
x=¿ ................................... [2]
b
c) a−x
=g
x=¿ ................................... [2]
d) √ x−1
x+1
=m
x=¿ ................................... [3]
4 a) Y varies as Z , and Y = 6 when Z = 4 . Calculate the value of
Y , when Z = 2 .
The United Schools of Yemen 2022/2023 Page 2 of 5 Mathematics 10E 2 nd Half-1st Oct.
