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Worksheets

P1 145Q

Total questions: 145

Worksheet time: 1hrs 16mins

Name
Class
Date
1.

All of the following are proportional quantities except ..................

a)

4,12,5,15

b)

7 , 35 , 6 , 45

c)

8, 10, 4, 5

d)

24 , 6 , 40 , 10

2.

if X + 312 = 515 \frac{X\ +\ 3}{12}\ =\ \frac{5}{15}\ ,what is the value of X

a)

4

b)

1

c)

7

3.

if 424= X 312\frac{4}{24}=\ \frac{X\ -3}{12} ,what is the value of X ?

a)

5

b)

1

c)

4

d)

3

4.

if 83x = 2445\frac{8}{3x}\ =\ \frac{24}{45} ,what is the value of X + 3 ?

a)

15

b)

8

c)

5

5.

Ali reads 12 pages in 40 min .what is the time in hours that he will take to read 90 pages if he reads at the same rate ?

a)

300

b)

5

c)

18

6.

Ahmed travels 180 km in 1.5 hours . How much time is needed to travel 300 km at the same speed ?

a)

2 hours

b)

3 hours

c)

2.5 hours

7.

which of the relationships prepresent a proportion ?

a)

a

b)

b

c)

c

d)

d

8.

which of the following scale drawing represest to Magnification ?

a)

1 : 2000

b)

1 : 500,000

c)

20 : 1

d)

1 : 200

9.

which of the following scale drawing represest to Minimization ?

a)

1 : 300

b)

100 : 2

c)

2 : 1

d)

300 : 1

10.

if the length of an insect is 0.4 mm and its length by magnifing lens is 6 cm

find the ratio of magnification

a)

1 : 150

b)

1 : 15

c)

150 : 1

d)

15 : 1

11.

If the length in drawing is 6 cm and the real length is 12 km , what is the scale drawing ?

a)

200,000 : 1

b)

1 : 200,000

c)

1 : 720,000

d)

72,000 : 1

12.

if the scale is 1 : 1000 and the length on the model is 2.5 cm , what s the real length in meters ?

a)
25 meters
b)

0.25 meters

c)

250 meters

d)

2500

13.

if the scale on thw map is 1 : 360,000 , if the distance between two points on the map is 5.5

find the real distance between them

a)

1.98 km

b)

198 km

c)

19.8 km

d)

1980

14.

if the scale of a map is as showen in the opposite figure ,

and the distance between two cities on this map is 3.5 cm

what is the actual ( real ) distance between them ?

a)
30 km
b)

90 km

c)

105 km

d)

420

15.

Two friends participated in a business project with a profit-sharing ratio of 2 : 5 If the smaller share of the profits is 14,000 LE, what is the total profit in LE ?

a)

35,000 LE

b)

49,000 LE

c)

4,000 LE

d)

10,000 LE

16.

A triangle has sides in the ratio 6 : 5 :4 , If its perimeter is 30 cm, what is the length of     

    the  shortest side ?

a)
8 cm
b)
7 cm
c)
10 cm
d)
6 cm
17.

A piece of land measuring 27 feddans was divided between two people in the ratio of  

    7 : 2 Which of the following could be the share of one of the people?

a)
18 feddans
b)
9 feddans
c)
15 feddans
d)
21 feddans
18.

A man divided an amount among 2 person in the ratio 3 : 7 if the share of second

     exceeds the share of first 3600 LE find the total of an amount ?

a)
6000 LE
b)
12000 LE
c)
4500 LE
d)
9000 LE
19.

if the price of a mobil after deduction is 11,875 LE by rate 5 %

what is the original price of the mobil ?

a)

13,125 LE

b)

11,281 LEz

c)

12,500 LE

d)

11,250 LE

20.

if the price of a table is 3200 LE and there are is a 15 % discount rate

what is the price of the table after discount ?

a)

3680 LE

b)
2720 LE
c)

3764.7 LE

d)

2782.6 LE

21.

if the Ratio between the dimensions of a rectangle 7 : 5 and its perimeter is 72 cm .

calculate its area

a)

350 cm²

b)

315 cm²

c)

1260 cm²

d)

420 cm²

22.

if a : b : c = 2 : 3 : 5 and c - b = 18 , then a + c = .......................

a)
45
b)
54
c)
72
d)
63
23.

if the price of a shirt decreased from 800 to 680 . what is the rate of dencrease ( percentage) ?

a)
25%
b)
20%
c)
15%
d)
30%
24.

-2 ................... { 0, -1, -2 , -3 }

a)

\in

b)

\notin

c)

\subset

d)

⊄\not\subset

25.

{ 34 } ................... { 3 , 4 , 5 , 6 }

a)

\in

b)

\notin

c)

\subset

d)

⊄\not\subset

26.

0 ................... ϕ\phi

a)

\in

b)

\notin

c)

\subset

d)

⊄\not\subset

27.

if X \in { 0 , 5, 6 } , then x can not be .......

a)

5

b)

0

c)

6

d)

2

28.

if { 3, 5, 7, X } = { 4, Y, 3, 5 }

then the value of Y-X = ..........

a)

3

b)

-3

c)

2

d)

-2

29.

if A \subset B , Then A \cup B = ...........

a)
B
b)

ϕ\phi

c)

A

30.

if X \subset Y , Then X  \ \cap Y = ...........

a)

Y

b)

ϕ\phi

c)

X

31.

The number of subsets of the set { 2 , 3 , 5 } = ..............

a)

3

b)

1

c)

4

d)

8

32.

if A = { 2, 3, 4, 5 } , B = { 1, 2, 3, 6 } , C = { 3 , 4 , 7 }

A \cap B = ........

a)

{1, 2, 3, 4, 5, 6}

b)
{3, 5}
c)
{2, 3}
d)
{1, 4}
33.

if A = { 2, 3, 4, 5 } , B = { 1, 2, 3, 6 } , C = { 3 , 4 , 7 }

A \cup B = ........

a)

{1, 2, 6, 5}

b)

{2, 3}

c)
{3, 4, 5, 6}
d)
{1, 2, 3, 4, 5, 6}
34.

which of the following result has a positive sign ?

a)

-3 + 2

b)

-5 - ( -7)

c)

6 - 10

d)

4 + ( -9)

35.

The multiplicative identity in Z is (a)  

36.

The additive identity in Z is (a)  

37.

The additive inverse of zero is......

a)

has no additive inverse

b)

0

c)

-1

d)

1

38.

The additive inverse of number -(-2) is ...............

a)

| -2 |

b)

2

c)
  • - | -2 |

d)

0

39.

the additive inverse | - 34\frac{3}{4} | is ...............

a)

34\frac{3}{4}

b)

- 34\frac{3}{4}

c)

- 43\frac{4}{3}

d)

43\frac{4}{3}

40.

The multiplicative inverse of number 2.3 is ..........

a)

23\frac{2}{3}

b)

32\frac{3}{2}

c)

2310\frac{23}{10}

d)

1023\frac{10}{23}

41.

The multiplicative inverse of zero is......

a)

has no multiplicative inverse

b)

0

c)

-1

d)

1

42.

The Multiplicative inverse of number 0.30.\overline{3} is ..............

خلي بالك ... فوق ال 3 مرسوم خط خفيف

a)

310\frac{3}{10}

b)

103\frac{10}{3}

c)

13\frac{1}{3}

d)

3

43.

if a + 29\frac{2}{9} = 0 , then a = ........................

a)

29\frac{2}{9}

b)

zero

c)

29\frac{-2}{9}

d)

92\frac{-9}{2}

44.

if 35 ×  \frac{3}{5}\ \times\ \ B = 1 , then B = .................

a)

1

b)

35\frac{3}{5}

c)

53\frac{5}{3}

d)

35-\frac{3}{5}

45.

The number of terms in the algebraic expression 3 + X - 2Y + 1

a)

4

b)

2

c)

3

d)

1

46.

The coefficient of the algebraic expression 3 - n

a)

-3

b)

1

c)

-1

d)

3

47.

The constant in the algebraic expression

3X - 5

a)

5

b)

-5

c)

3

d)

3x

48.

The like terms in the algebraic expression 4 +2m - 2n - 5

a)

4 and 5

b)

2m and 2n

c)

4 and -5

d)

2m and -2n

49.

The like terms in the algebraic expression 3a +3b - a + 1

a)

3a and 3b

b)

a and 1

c)

3a and a

d)

3a and -a

50.

all of the following are like terms except ..............

a)

2X , 2X2

b)

a , 3a

c)

-4 , 7

d)

5Y , -5Y

51.

the result of subtracting -6b from 8b = ......

a)

2b

b)

-2b

c)

14b

d)

-14b

52.

in the expression 3a + 2 + a + 1 which of the following is Not true ?

a)

2 and 1 are constants

b)

3a and a are like terms

c)

3 and 1 are coefficients

d)

a and 1 are like terms

53.

Which of the following is equivalent to - 5 - (-10) ?

a)

5 - 10

b)

5 + 10

c)

10-5

d)

-5-10

54.

the additive inverse of number - ( - 8 ) is ..........

(choose two answers)

a)

8

b)

-8

c)

|-8|

d)
  • -|-8|

55.
  • - ( - 3 ) ....................... - | -3 |

a)

<

b)

=

c)

>

56.

The result of adding two expression :

3X -2Y +z and -4Y -z +2X

a)

-X -3Y +3z

b)

5X -2Y +z

c)

5X -6Y

d)

5X -6Y +z

57.

The result of subtracting the two expressions :

4m -2n +1 from 3n -4 +2m

a)

5n -2m -5

b)

2m -5n +3

c)

-2m +5n +5

d)

2m -n -3

58.

The solution set of the equation 3k - 2 = -11 in Z is ................

a)

ϕ\phi

b)

{ -3 }

c)

{ 3 }

d)

{ 133\frac{13}{3} }

59.

The solution set of the equation 4 - 3X = 1 in Q is ................

a)

ϕ\phi

b)

{ -1 }

c)

{ 2 }

d)

{ 1 }

60.

The solution set of the equation 2 ( X + 3 ) = -2 in N is ................

a)

ϕ\phi

b)

{ -4 }

c)

{ 2 }

d)

{ -2 }

61.

if X + 2 = 5X -2 , then X = (a)  

62.

the angle with measure 95 o is .................. angle

a)

right

b)

straight

c)

obtuse

d)

acute

63.

the angle with measure 89 o 60َ is .................. angle

a)

right

b)

straight

c)

obtuse

d)

acute

64.

if m ( \angle A ) = 125 o , the m ( reflex \angle A ) = (a)   o

65.

if \angle A complements \angle B and m ( \angle A) = 40 o , then m (reflex \angle B) = (a)   o

66.

Two consecutive odd numbers their sum is 12 , Which of the following equations expresses that?

a)

X + X = 12

b)

X + 2X = 12

c)

X + X + 1 = 12

d)

X + X + 2 = 12

67.

The number of terms in the algebraic expression: -7 x y z is ………………

a)

4

b)

3

c)

1

d)

7

68.

if AE \perp AB , m ( \angle EAD ) = 25 o , then m ( \angle BAD) = ............. o

a)

60

b)

65

c)

25

d)

40

69.

in the opposite : O \in AB , then the measure of \angle DOA = ............. o

a)

65

b)

50

c)

115

d)

180

70.

Two complementary angles have a ratio of 2 : 3 , The measure of the smaller angle = .............

a)

36

b)

90

c)

72

d)

54

71.

If \angle A supplements \angle B, m ( \angle A) = 3 m ( \angle B), then m ( \angle A) = .................. o

a)

45

b)

60

c)

120

d)

135

72.

it two straight lines intersect at a point , then each two vertically opposite angles are ..............

a)

complementary

b)

supplementary

c)

equal in measure

d)

perpendiculare

73.

The value of X = ...............o

a)
13
b)

48

c)

14

d)

52

74.

If two vertically opposite angles are supplementary , then each one of them is a .............. angle

a)

acute

b)

right

c)

obtuse

d)

straight

75.

The sum of the measures of the accumulative angles at a point is equal to the measure of ........ right angles.

a)

3

b)

4

c)

5

d)

6

76.

The sum of measures of 4 angles around a point ............... The sum of measures of 5 angles around a point

a)

<

b)

>

c)

=

77.

X = .................. o

a)

120

b)

115

c)

80

d)

145

78.

m ( \angle ACE ) = ............................. o

a)

70

b)

117

c)

133

d)

187

79.

X = ................. o

a)

120

b)

145

c)

265

d)

95

80.

the value of X = .............

a)
15
b)

150

c)

75

d)

30

81.

in Δ\Delta ABC , if m( \angle A ) = 75o , m( \angle B ) = 45o , then m( \angle C ) = ..............o

a)

110o

b)

120o

c)

60o

d)

80o

82.

in Δ\Delta ABC , if m( \angle A ) = 55o , m( \angle B ) = 60o , then the measure of exterior angle at C = ..............o

a)

65 o

b)

75o

c)

115o

d)

105o

83.

if the ratio between 3 angles of a triangle is 2 : 4 : 3 , then the measure of greatest angle = ...........o

a)

40

b)

80

c)

90

d)

120

84.

If the lengths of two sides of a triangle are 4 cm and 9 cm, what is the largest integer that can represent the length of the third side?

a)

9

b)

10

c)

13

d)

12

85.

Which of the following numbers cannot be the lengths of the sides of a triangle?

a)

7 cm, 7 cm, 7 cm

b)

4 cm, 7 cm, 4 cm

c)

3 cm, 4 cm, 7 cm

d)

9 cm, 7 cm, 5 cm

86.

m( \angle D) = .................o

a)

85

b)

95

c)

105

d)

180

87.

X = ........... o

a)

115

b)

73

c)

42

d)

65

88.

X = ...................o

a)

40

b)

120

c)

60

d)

80

89.

The value of X = ...........o

a)
35
b)

73

c)

72

d)

17.5

90.

X = ............... o

a)

30

b)

22

c)

110

d)

25

91.

in the opposite venn diagram :

X \cap Y \cap Z = .......

a)

{ 5 , 6 }

b)

{ 7 , 8 , 4 }

c)

{ 7 , 8 , 5 , 6 ,4 }

d)

ϕ\phi

92.

in a parallelogram ABCD , If m ( \angle A ) = 70 , then m( \angle C ) = ...............o

a)

70

b)

110

c)

35

d)

55

93.

in a parallelogram ABCD , If m ( \angle B ) = 140 , then m( \angle C ) = ...............o

a)

140

b)

40

c)

20

d)

70

94.

in a parallelogram ABCD , If m ( \angle A ) + m( \angle C ) = 120 , then m( \angle B ) = ...............o

a)

60

b)

30

c)

120

d)

180

95.

if ABCD is a paralleogram , then m( \angle DCE) = ............o

a)

70

b)

60

c)

50

d)

110

96.

if ABCD is a paralleogram , then m( \angle CEA) = ............o

a)

130

b)

110

c)

70

d)

150

97.

in the opposit figure m( \angle BAC ) = ..............o

a)

35

b)

45

c)

80

d)
100°
98.

in the opposit figure m( \angle DAC ) = ..............o

a)

35

b)

45

c)

80

d)
100°
99.

in the opposite figure : m( \angle E) = ...............o

a)

130

b)

80

c)

50

d)

70

100.

if ABCD is a parallelogram , then m( \angle A) (a)   o

101.

in the opposite parallelogram : m( \angle B) = (a)   o

102.

The length of two sides in a isosceles triangle are 2 and 5 , then the length of the third side could be ....... cm

a)

4

b)

7

c)

5

d)

2

103.

The length of any side of a triangle ................. the sum of length of other two sides

a)

>

b)

<

c)

=

104.

The parallelogram whose its adjacent sides are equal is called a ...................

a)

square

b)

rectangle

c)

rhombus

d)

trapezium

105.

The parallelogram whose on of its angles is right is called a ...................

a)

square

b)

rectangle

c)

rhombus

d)

trapezium

106.

The parallelogram whose two diagonals are equal in length is called a ...................

a)

square

b)

rectangle

c)

rhombus

d)

trapezium

107.

The parallelogram whose two diagonals are perpendicular is called a ...................

a)

square

b)

rectangle

c)

rhombus

d)

trapezium

108.

ABCD is a parallelogram where AC = BD , AC \perp BD is called a .........

a)

square

b)

rectangle

c)

rhombus

d)

trapezium

109.

ABCD is a parallelogram where AC = BD , AC not perpendicular to BD is called a .........

a)

square

b)

rectangle

c)

rhombus

d)

trapezium

110.

ABCD is a parallelogram where AC \perp BD and AC \ne BD , is called a .........

a)

square

b)

rectangle

c)

rhombus

d)

trapezium

111.

ABCD is a rectangle whose its diagonals are perpendicular is called a ........

a)

square

b)

rectangle

c)

rhombus

d)

trapezium

112.

ABCD is a rhombus , m( \angle D ) = ............o

a)

25

b)

50

c)

130

d)

80

113.

The measure of an interior angle of a regular hexagon is ............ o

a)

720

b)

100

c)

120

d)

160

114.

The sum of measures of interior angles of a pentagon is ............ o

a)

108

b)

540

c)

120

d)

135

115.

in the opposite figure : X = ................

a)

130°

b)

120°

c)

140°

d)

150°

116.

A regular polygon has 4 sides is called ...............

a)

quadrilateral

b)

parallelogram

c)

rhombus

d)

square

117.

Number of axes of symmetry of Scalene triangle .................. Number of axes of symmetry of parallelogram.

a)

>

b)

=

c)

<

118.

The point with coordinates ( |– 3 | , (-1)2  ) lies in the....... quadrant.

a)

first

b)

second

c)

third

d)

forth

119.

Which of the following points lies in the third quadrant?

a)

( 2 , -4 )

b)

( -1 , 5 )

c)

( -2 , -|-3| )

d)

( 4 , 1 )

120.

If the point ( 4, m+2 ) lies on the X-axis, what is the value of m ?

a)

4

b)

2

c)

-2

d)

-4

121.

The distance between the two points (-5,1), (2,1) = ...............length units.

a)

7

b)

3

c)

2

d)

4

122.

What is the projection of the point A (-4 , 1 ) on the X-axis?

a)

itself

b)
(0, 1)
c)

(-4, -1)

d)
(-4, 0)
123.

The projection of point A(-5,0) on the Y-axis is …………………

a)

itself

b)

the origin

c)

( 5 , 0 )

d)

( 0 , -5 )

124.

The length of projection of a line segment ……… The length of a line segment

a)

>>

b)

<<

c)

=

d)

\le

125.

If  AB  is parallel to the X-axis, then the length of its projection on the      

X-axis is ……….. length of AB

a)

>>

b)

<<

c)

=

d)

\le

126.

If  AB  is perpendicular to the X-axis, then the length of its projection on X - axis is .............

a)

more than

b)

less than

c)

equal

d)

zero

127.

If A (-3,4) and B (-1,-6), what is the midpoint of AB ?

a)

(-4, -2)

b)
(-2, -1)
c)

(-2, -5)

d)

(-2, 5)

128.

If (1, 1) is the midpoint of AB , where A (3,2) , then B = (………… , ………..)

a)
(-1, 0)
b)

(2, 1.5)

c)
(2, 3)
d)
(0, 1)
129.

……………… is the middle value of the data set

a)

mode

b)

range

c)

median

d)

outlier

130.

The ………… = sum of valuesnumber of values\frac{sum\ of\ values}{number\ of\ values}

a)

mode

b)

median

c)

range

d)

mean

131.

The difference between the greatest value and the smallest value is ……

a)

mode

b)

range

c)

mean

d)

median

132.

The most common value is ………….

a)

mode

b)

mean

c)

median

d)

outlier

133.

If the mode of the values : 6 , 9 , 2X , 8 , 5 is  6 , then X = ……

a)
3
b)

6

c)

12

d)

8

134.

From the opposite dot plot , the mode = ……

a)
8
b)
6
c)
7
d)
5
135.

From the opposite stem and leaf plot , the mode = ……

a)
10
b)
12
c)
16
d)
14
136.

The range of the values 20, 41, 9, 10 and 7 is ……………………

a)
15
b)
34
c)
25
d)
30
137.

The median of the numbers: 3 , 5 , 12 , 17 , 14 , 18 is ………….

a)
12
b)
13
c)

17

d)
10
138.

If the median of four consecutive even numbers is 35, then the largest number

a)
38
b)
40
c)
36
d)
34
139.

If the median of the values: X+2 , X+3 , X+1  is  7  , then X = ………….

a)
5
b)
3
c)
4
d)
6
140.

From the opposite stem and leaf plot , the median = ……….

a)

36

b)

36.5

c)
35
d)
37
141.

The arithmetic mean of the values: 9 , 5-x , x+4 = ...........

a)
6
b)
5
c)
7
d)
8
142.

For a set of data :  Σ f = 25 and Σ (f . X) = 312 , then x\overline{x}  =………

a)
12.48
b)
8.90
c)
15.75
d)
10.25
143.

The sum of the measures of the angles of the circular sectors accumulative at

the centre of the circle = ……….o

a)

180

b)

360

c)

90

d)

270

144.

The opposite pie chart shows the percentages of calories Sally had in her meals on one day. What is the measure of the central angle for the lunch sector?

a)

120 o

b)

90 o

c)

180 o

d)

144 o

145.

The opposite pie chart represents the favorite sports of

2,000 students in a school. How many students prefer football?

a)
800
b)
600
c)
1000
d)
400