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2017/2018

Supervisor of mathematics

Mrs. Maha Ahmed

The Vision of the School : Distinct Environment for Refined Education

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Sheet 1

[1] Underline the natural numbers from the following numbers:-

8 , 0 , 7

14 , 0.77 , 6352 , 99 ,

2

13

2)Complete :

a) E - O = .........

b) N - E = ..........

c)P E = ............

d) N P=...........

3)Complete by : , , , :

a) 2 ................N

b) {0} .............N

c) 7.2 ............N

d) {3 , 4 , 5 ,........,30} ...............N

e) {1 , 3 } {2 , 4 } …………N

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4)Write the set of :

a) Set of natural numbers not less than 12

.............................................................................................................

b) The set of natural numbers greater than 46

...........................................................................................................

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c) The set of natural numbers equal to or greater than 9

...............................................................................................................

5) Complete :

a) The smallest natural number is ………….

b) The smallest counting number is …………

c)The set of natural numbers less than 5 is ………….

d)Natural numbers counting numbers = ……

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Sheet 2

[1] Use the number line to represent the following:-

a) X= {1,2, 3 }

b) Y= {5,7 ,9 }

c) The set of odd numbers

d) The set of prime numbers less than 10

2)Complete :

a) The smallest counting number is ........

b) The greatest 2 digit natural number is ............

c) The set of natural number between 40 and 41 = .........

d) The set of counting numbers less than 5 = ..........

3) Complete :

a) 149 + 673 = 673 + .................... ( ................. property )

b) a + ............= b + ................ (....................property)

c) ( .........+x) + y = Z + ( .............+ ..........) ( ................. property)

d) 18 + .........= 0 + ............= 18 ( ................. property)

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Sheet 3

1) Complete :

a) a x1 = 1 x.......= a ( ................ property )

b) If 9 x 13 = 13 x X then X = ...................

c) ( ...........x 10 ) x 5 = 20 x ( 10 x ............. ) ( ................. property )

d) 32x 9 + 32 x 6 = ...........x ( .......+ ............)

e ) If 3 x 98 = ( X x 8 ) + (X x 90 ) then X = ...........

2) Choose the right answer :

a) ( 8+6) ÷2= ................. (8 , 7 , 6 , 2 )

b) 27 x 19 + 73 x19 = .............x 19 ( 10 , 100 , 27 , 73 )

c) =............. ( 0 , 6 , 3 , has no meaning )

3) Use the properties to find :

a) 2 x 347 x 5

........................................................................................................................................

........................................................................................................................................

........................................................................................................................................

.......................................................................................................................................

b) 8 x 75 x 125

........................................................................................................................................

........................................................................................................................................

........................................................................................................................................

.......................................................................................................................................

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Sheet 4

[1] Find the numbers that will make the following statements true, and state the

name of each property

a) (6 × 8) × ......... = 6 × (8 × 3)

b) 9 × (3 + ........) = 9 × 3 +9 × 2

c) 21 × (7 + 5) = 21 × ......... +..........×...........

[2) Which of the following statements are true :-

a) 36 ÷ 3 = 3 ÷ 36 ( )

b) (80 ÷ 8) ÷ 2 = 80 ÷ (8 ÷2) ( )

c) (39 ÷2) N ( )

d) (77 ÷7) N ( )

[3] Name the property of addition and multiplication :

a) 9 × 3 = 3 × 9

..............................................................................................................

b) (15 + 3) + 20 =15+ (3 + 20)

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c) 11 + 5 = 5 + 11

.....................................................................................................................

d) 7 × (5 × 2) = (7 × 5) × 2

.........................................................................................................................

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4) C0mplete in the same pattern :

a)12 , 10 , 8 , 6 , .......... , ............

b) 1, 2 , 4 , 7 , ............ , ............

c) 7 , 77 , 777 , 7777 , ................ ,.............

d) 1, 4 , 9 , 16 , ............... , .....................

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Sheet 5

1) Complete using a suitable symbolic expression :

a) Add 8 to the number x

........................................................................................................................

b) Multiply 7 by the number z

........................................................................................................................

c) Subtract 10 from the number y

..........................................................................................................................

d) Quotient of a number h by x

..........................................................................................................................

e) Five seventh a number a

.........................................................................................................................

f) Twenty divided by a number b

.....................................................................................................................

g ) Six less than a number y

..........................................................................................................................

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2) Write each symbolic expression in words:

a) 9-y

.........................................................................................................................

b) 8x

.........................................................................................................................

c) c + 4

..........................................................................................................................

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3) Choose the right answer :

a) If the sum of two numbers x and y is 60 then y = ............

( 60+x , 60 - x , x - 60 , x÷ 60 )

b) If the product of two numbers x and y is 10 then y = ..............

( 10x , x + 10 , x÷10 , 10÷x )

c) x and y are two numbers the greater number is 4 more than the other , if the

smaller number is y then x = ...............

( 4 y , y - 4 , y +4 , y ÷4 )

d) The perimeter of a rectangle is 16 cm if its length = x cm , then its width =

.....................

( 16 - x , 16 + x , 8 - x , 8 + x )

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Sheet 6

1) Solve the equations :

a) 4 + y= 7

..............................................................................................................

b) 6a = 48

.................................................................................................................

c) 70 - m = 17

................................................................................................................

d) k ÷5 = 35

..............................................................................................................

e) 2 x + 10 = 40

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2) Translate each verbal statement into an equation :

a) Three times of a number k is 12

................................................................................................................

b) The sum of the number x and 6 is 9

....................................................................................................................

c) If 8 is subtracted from a number then the result is 42

...................................................................................................................

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d) 11 is 5 more than twice the number x

.....................................................................................................................................

e) Product of the number x and 3 is 21

.....................................................................................................................................

f) Sum of the number x and 5 is 11

......................................................................................................................................

g ) 9 is 18 less than the number b

......................................................................................................................................

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3)Complete each of the following :

a) If x + 2 = 5 then x = ………..

b) If a – 3 = 1 then a = ………….

c) If 2b = 8 then b = ……………

d) If m ÷ 2 = 3 then m = ………

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Sheet 7

1) Complete :

a) The area of the triangle = ........... x ............. x ................

b) If the length of the base of a triangle = 6 cm and its corresponding height = 4 cm

then the area of this triangle = .............. cm 2

c) If the area of a triangle = 120 cm 2 and its height = 0.4dm then the base length =

.............. cm

d)If the perimeter of an equilateral triangle = 33 cm , and its height = 8.7 cm

then the area of this triangle = ........... cm 2

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2) Find the area of each :

2cm

5 cm

10 cm

3cm

4 cm

6 cm

...............................................................................................................................

........................................................................................................................................

........................................................................................................................................

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Sheet 8

1) Find the area of a parallelogram of side length 4 cm and height 7cm

……………………………………………………………………………………………………..

2) ABCD is a parallelogram with area 180 cm2 , if AB = 60 cm , CD =45 cm find the

smallest height

…………………………………………………………………………………………………….

3) In the opposite figure :

ABCD is a parallelogram , AD = 15 cm , CD= 10 cm ,DF = 8 cm

DE is perpendicular on AB D C

Find the length of DE F

A E B

……………………………………………………………………………………………………………………………………

………………………………………………………………………..……………………………………………………….

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4) Which is large in area a land in the shape of parallelogram of base length 8

cm and height 6.7 cm or a land in the shape of triangle with base length

5cm height 4.2

………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………

………………………………………………………………………….………………………………………….

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Sheet 9

1) Find the area of a square of side length 8 cm

…………………………………………………………….……………………………………………………..

2) Find the area of a square of perimeter 24 cm

………………………………………………………………………………………………………………………

………………………………………………………………….…………………………………………………

3) Find the area of a square with diagonal 7 cm

……………………………………………………………………..……………………………………………

4) Find the area of shaded part : if ABCD is a rectangle , XYZL is a square with

diagonal 3 cm

A B

7cm

D C

12 cm

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………..…………..

X y

L Z

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Sheet 10

1) The length of the diagonals of a rhombus are 6cm , 4cm . Calculate its area

…………………………………………………………………………………………………………………………

…………………………………………………………………………………………….………………………….

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2) The length of the diagonals of a rhombus are 10cm , 14 cm and its height is 7

cm . Calculate its side length.

…………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………

……………………………………………………………………………………………………….……………….

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3) The side length of a rhombus is 6cm, its height is 7.6 cm and the length of one

of its diagonal is 10cm . Calculate the length of the other diagonal

…………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………

…………………………………………………………………………………………………….………………….

4) If the perimeter of a rhombus is 28 cm and the area =30 cm 2

Find its height

…………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………

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Sheet 11

1) Find the circumference of the circle if :

a) The radius = 4.5 cm

……………………………………………………………………………………………………………..

b) The diameter = 8 cm

……………………………………………………………………………..………………………………

2) Complete :

a) If the circumference of a circle is 10 cm , then the radius = ……………….. cm

b) If half circumference of a circle = 25.12 cm ,then the radius =

……cm

c) If the circumference of a circle = 44 cm then the diameter = ……… cm

[3] The radius of the tyre of Ahmed’s bicycle is 21 cm. Find the distance covered

when the tyre of the bicycle makes 5 complete rotations

………………………………………………………………………………………………………………………

………………………………………………………………………………………………………..…………

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Sheet 12

Find the perimeter of the following figures

4 cm 8cm

3 cm 4cm

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

9cm

12 cm

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

…………………………………………………………………………..……………………………………………………..

5cm

6 cm

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Sheet 13

Describe the type of each geometric transformation:

…………………….. ………………………………………

b d

…………….………. …………………

…………………………………………… ……………………………………..

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Sheet 14

1)Plot the following points :

A ( 2 , 3 ) , B ( 3 , 5 ) , C ( 5 , 3 )

Then find the image of the triangle ABC by reflection in the ray AC

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2) In the Cartesian coordinates plane locate: the points A (1 ,2 ) , B ( 1 , 5 )

C ( 4 , 5 ) , D ( 4 , 2 )

1) What is the name of the figure ABCD?

2)How many lines of symmetry of this figure ?

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3)Complete the table , represent it by pie chart

Heba Nada Mariam Mother

Quarter …………….. Third Half

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4)Represent the following distribution by frequency polygon :

16- 12- 8- 4- 0- Sets

5 12 10 6 Frequency

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Revision 1

1) Complete :

a) 3 , 9 , 27 , ………………….

b) The circumference of a circle with radius 7 cm =

……………………………………………………………………………………………………………………………

c)The area of the square whose diagonal length is 10 cm =

…………………………………………………………………………………………………………………. cm2

d) If 2X= 6 , then X = ……………………………

e) The smallest natural number is ………………….

f) The rhombus with diagonals 6 cm , 8 cm its area =

…………………………………………………………………………………………………………………….. cm 2

g) The area of the triangle = ……………………………………………..

h) The sum of any two odd numbers is an ……………………… number

I) 43 + 59 = …………… + 43

j) 4 x ( 2+5) = (4x2 ) + ( ….x 5 ) is called ……………….. property

k)The rectangle has ………….. lines of symmetry , but the square has ………….. lines of

symmetry

2) Choose the right answer :

a) The sum of two natural numbers ………….N

b) The opposite transformation is ……………

(reflection , translation , rotation )

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c) E U O = ………………..

( N , C , E )

d) If a lies to the right of b on the number line then a …………. B ( < , > , = )

e) 14 ÷ 3 ………………N ( )

f) Subtracting 4 from the double of the number a = ……………………

( a - 4 , 4 - a , 2a - 4 , 4a -2 )

g) If X+7 = 19 , X N , then X= …………….. (26 , 12 , 11 , 13 )

h) If O is the set of odd numbers , then O …… N

I) The number of lines of symmetry of the rhombus = …………….. ( 0 , 1 , 2 , 3 , )

3)An employee spends his monthly salary as follows 1000 L.E for food , 500L.E for

clothes , 250 L.E for the rent of his flat and the rest for other expenses

Represent these data by circular sectors

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4)In the opposite figure :

There is a window in the form of square with side length 70 cm and above it there is

a semi circle

Calculate :a) the perimeter of the window

b) If the area of the window is 6825 cm2 ,find the area of the semi circle

........................................................................................................................................

........................................................................................................................................

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5)Solve the equation :

5X – 7 = 33

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………

6)By using the distribution property :

Find 587x 1001

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………….

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Revision 2

1)Complete :

a) The smallest number in N is ………………….

b) For any natural numbers a , b ,and c : ( a x b ) x c = a x ( b x c ) is called

………………………………….. property

c) The set of the natural numbers which are more than 4 and less than 5 is …………….

d) The value of 2x + 5 when x = 2 is …………………………………………….

e)The rhombus of area 42 cm2 and the length of on of its diagonal 6 cm , then the

length of the other diagonal = ………………………………………………………….. cm

f) If x is an odd number , then x +1 is …………………………. number

g) 213 x 57 = 57 x ……………… ( …………………. Property )

h) Adding 5 to twice the number x = ………………………..

i) If the ordered pair ( 2 , 5 ) = ( 2 , x ) then x = …………….

j)The value of 2x + 5 where x = 2 is ……………………

k)The least natural number is …………….

l) The number of axes of symmetry of an equilateral triangle = ………………

2)Arrange in ascending order :

( 7 x 10 ) , (2+3)x5 , (35-0) , the additive neutral element

……………………………. , ………………………… , ………………….. , ………………….

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3 ) If a = 1 , b = 12 , c = 3

Find the value of ( b ÷ c) x a

……………………………………………………………………………………………………………………………….

4)Using the properties in N , find the value of and state the name of each property:

612 + 154 + 88 + 846

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………….

5)Draw the triangle ABC where A( 2 , 5 ) , B( 5 , 2 ) , C ( 5 , 8 )

The find its image by reflection across BC

6) ABCD is a parallelogram in which AD = 24 cm, E is the mid point of AD

The area of the triangle ABE = 60 cm 2

Find the area of the parallelogram ABCD D E A

Find the area of the figure EBCD

C B

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7)Choose the right answer :

a) If O is the set of odd numbers then O ……N

b)The length of the base of a triangle with area 120 cm2 and height 5 cm = …………..

( 12 , 48 , 24 , 6 )

c)The number of lines of symmetry of the rhombus = …………… ( 0 , 1 , 2 , 4 )

d)The perimeter of a square of side length x cm = ……………. ( 4 + x , x -4 , 4x , x ÷4)

e) ( 8x 3 ) x 5 = ………x (3x5) ( 3 , 5 , 8 , 35 )

f) If A = ( 2 ,1 ) , B (2 , 3 ) , then the coordinates of the mid point of AB = …………

((3 , 2 ) , ( 2 ,2 ) , (3 , 3 ) )

g) If 75 = 5 + y x 10 , then y = ……………… ( 5 , 6 , 7 , 10 )

h) E - O = …………… ( O , N , E )

I) The area of the rhombus whose diagonals 6 cm , 8 cm = ……………… cm2

( 26 , 24 , 48 , 14 )

8) Write by listing method :

N= …………………………………………………….

O=……………………………………………………

E=………………………………………………………

P=………………………………………………

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9)Write the symbolic expressions of each :

a) Adding 1 to three times the number X

……………………………………………………………….

b) Subtracting 5 from half the number Y

………………………………………………………………..

c)Multiply 9 by the number Z then adding the result to 6

………………………………………………………………

10) A farm has an area of 24 feddans planted with fruits , vegetables, flowers and

palm trees and it is represented by the opposite figure :

Complete :

a) The area planted with vegetables is 12 feddans and it is represented by the

……. Colour

b) The green sector represents the area planted with fruit and it has an area of

………………… feddans

c) The area planted with flowers = the area planted with palm trees = … feddans

Green yellow

blue

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11)In the opposite figure:

ABDE is a rectangle , find the area of the triangle ABC

6.5 cm

E A

3.2 cm

D B

2 cm C

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………

12) If a= 1 , b = 2 c = 3

Find the value of 5a +8b -2c

……………………………………………………………………………………………………………………………………

………………………………………………………………………………………………………………………………….

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RULES

Notes :

A= area , h = height , b = base length , d = diagonal

S = side length , L = Length , W = width , P= perimeter

1-Triangle :

A= x b x h , b = , H =

2-Parallelogram:

A= b x h , b = , H =

3-Rhombus :

A = b x h or x d 1 x d 2

b= A ÷ h , H= A ÷ b

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4-Square :

P = S x 4 , S = P ÷ 4

A = S x S , S =

Or

A = x d x d , d =

5-Rectangle :

P = ( L + W ) X 2 , L = P ÷ 2 – W , W = P ÷ 2 = L

A = L x W , L = A ÷ W , W = A ÷ L

6- – Circle:

Circumference = Diameter x

=2 x Radius x

Diameter = Circumference ÷

Radius = circumference ÷ ÷ 2

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I.Q

…………………………… …………………..