1

Numbers and operations ===========================

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

1 3 0 , ـــــ , 3425 , ــــ , 0.25 , 443 , 2.4 , 13 4 8 ===========================================================================================================

2- Which of the following questions has answers of natural numbers : a- How many apples are there in the basket ? (..................................................) b- How many books are there in the bag ? (..................................................) c- How many cities are there in Egypt ? (..................................................) d- How many meters is this house high ? (..................................................) ===========================================================================================================

3- Put the suitable sign (∈∈∈∈, , , , ∉∉∉∉, , , , ⊂⊂⊂⊂,,,,⊄⊄⊄⊄)

a) 12 .............................N h){ 0 } ...............................N

b) 0....................................N i) 0.7 ....................................N

c) { 2 , 6 }............................N j) { 1 , 2 , 7.2 }...............................N 2 12 d) { ـــــ }................................N k) ـــــــ....................................N 3 4 e) Ø ....................................N l) { 1 , 2 ,3 ,…….,40}....................................N

f) { 2 , 5 } ∩ { 4 , 6 }....................................N m) { 1 , 6 } Ｕ { 7 , 6 }…………...N ===========================================================================================================

4- Complete : a) The smallest number in the set of counting numbers is .................................................. b) The least natural number is .................................................. c) The least even natural number is .................................................. d) The smallest odd natural number is .................................................. e)The least prime number is.................................................. ===========================================================================================================

5-Represent each of the following sets on the number line :-

a) { 2 , 3 , 4 , 5} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

b) { 1, 3 , 4 } ∩ { 4 , 5 , 6 , 7 } . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

c) { 0 , 1 , 2 , 3 } Ｕ { 2 , 3 , 4 , 5 , 6 } . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . d) { 1 , 4 , 7 } – { 7 , 6 } . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Cairo Governorate

Nozha Directorate of Education

Nozha Language Schools

Ismailia Road

Department : Math.

Form : 5th

prim .

Revision sheet 2014

2nd

term

2

e) { 2 , 3 , 4 , 5, ……} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

f) { 6 , 5 , 4 , ……} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ===========================================================================================================

6- Write using the listing method:- a) The set of counting number less than 4 {{{{........................................................................... }}}}

b) The set of natural numbers less than 6 {{{{........................................................................... }}}}

c) The set of natural numbers between 6 and 11 {{{{........................................................................... }}}}

d) The set of natural numbers between 6.3 and 11.9{{{{........................................................................... }}}}

e) The set of prime numbers less than 13 {{{{........................................................................... }}}}

f) The set of natural numbers equal to or greater than 3{{{{.................................................................. }}}}

g) The set of even numbers {{{{........................................................................... }}}} =========================================================================================================== 7- Complete a) 324 + 62 = 62 + …… (……………………………………………… property)

b) 12 + …… = ……… + 12 = 12 (……………………………………………… property)

c) (3 + 4 ) + …… = 3 + ( …… + 5 ) (……………………………………………… property)

d) A + …… = B + …… (……………………………………………… property)

e) (…… + m ) + n = k + ( m + …… ) (……………………………………………… property) ===========================================================================================================

8- Use the number line to add the following natural numbers :

a) 2 + 3 =……… . . . . . . . . . . . . . .

b) 4 + 2 = ……….. . . . . . . . . . . . . . .

c) 2 + 4 + 1 = ……… . . . . . . . . . . . . . .

9- Put the suitable sign ( = or ≠ ) a) 35 – 15 ……… 15 – 35 b) (3 + 4 ) + 6 …… 3 + ( 4 + 6 ) c) (12 – 4 ) – 2 …… 12 – ( 4 –2 )

3

===========================================================================================================

10101010---- Use the number line to Use the number line to Use the number line to Use the number line to findfindfindfind::::

a) 6 – 4 =……… . . . . . . . . . . . . .

b) 5 – 5 = ……….. . . . . . . . . . . . . .

c) 3 + 4 – 6 = ……… . . . . . . . . . . . . . ===========================================================================================================

11- Complete : a ) 62 × 142 = 142 × ……….

B) (15 × 3 ) × ……. = 15 ×(3 × 7)

c ) (23 ×508 ) × 67 = …. × ( 508 × 67 )

d) ( …… × 10 )×5 =20 ×(10× 5)

e ) ……..× 56 = 56 × 1 = ………

f ) 7× 10 × 4 = 7 × … ×…. = ………

g ) (9 × 5 ) × 8 = 9 × … × … = ……..

h ) 317 × 0 = 0 × ……. = ………

i ) 6 × (5 + …..) =( 6 × 5 )+ ( 6 × 9 )

j ) 5 × (2 + 7 ) = (5× …. )+( 5× …….)

k ) 25 × ( 13 + 27 ) = (…… × ……. )+ (……. × ……)

l ) ( 32 × 9 )+( 32 × 5) = …… × ( …..+ ……)

m ) ……. × 1 = …… × …… = 631

12- Use the distributive property to find the result of each of of the following :

a ) 15 × 55 + 15 × 45 =………………………………………………………………………………………………………………………

b ) 43 × 87 - 43 × 37 =……………………………………………………………………..……………………………………………….

c ) 24 × 37 + 24 × 35 + 24 × 28 =…………………………………………………………………………………………………

4

13- Use the commutative and associative properties to find the result :

a ) 25 × 37 × 4 =…………………………………………………………………………………………………………………………………..

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

b ) 4× 75 × 25 × 3 =…………………………………………………………………………………………………………………………

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

c ) 125 × 78 × 8 =……………………………………………………………………………………………………………………………

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

d ) 125 × 15 × 4 × 8 =…………………………………………………………………………………………………………………….

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

===========================================================================================================

14- Use the distributive property to find the value of each of the following :

a ) 52 × 101 b )74 ×99 ………………………………………………………………………………………………………………………………………………………………………

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

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

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

===========================================================================================================

15- Complete using ∈∈∈∈ or ∉∉∉∉ :

a ) ( 8 ÷ 2 ) …….N b ) (0 ÷ 4 ) ……. N

c ) ( 3 × 2 ) …… N d ) (3 ÷ 5 ) ……. N

e ) ( 7 ÷ 0 ) …….N f ) (5 × 0 ) ……... N

g ) (315 + 235 ) ……. N h ) (13 - 17 ) ……..N

i ) (9 ÷ 9 ) ………N j ) (17 ÷ 1 ) ………N

k )[ (8 × 3 ) ÷ 4 ] ……..N l ) [ (5 × 6 ) ÷ 12 ] ……..N

16- Choose the correct answer :

a ) 49 ÷ 9 ……..N ( ∈ , ∉ , ⊂ , ⊄ )

b ) zero ÷ 4 = ( 0 , 1 , 4 , has no meaning )

c ) 5 ÷ 0 = ……. (0 , 1 , 5 , has no meaning )

5

d ) (13 + 7 ) ÷ 2 = ……. (8 , 7 , 13 , 10 )

e ) 75 ÷ (5 × 3 ) = …….. ( 5 , 3 , 15 , 75 )

===========================================================================================================

17- Complete with (= 0 ) or (is meaningless ) :

a ) (0 ÷ 15 ) ………. b ) (917 – 917 ) ………..

c ) (45 ÷ 0 ) ……… d ) 0 ÷ (100 – 50 ) ………

512 -512 e ) ــــــــــــــــــــــ …………. 23 - 23

===========================================================================================================

18- Choose the correct answer :

a) If x + 5 = 11 , then : x = ………. ( 5 - 8 - 7 - 6 ) b) If 16 – y = 3 , then : y = ………. ( 19 - 6 - 13 - 12 )

c) If z × 9 = 63 , then : z = ……. ( 7 - 9 - 8 - 6 ) d) If k ÷ 8 = 7 , then : k = ……. ( 15 - 1 - 56 - 8 ) e) If 25 ÷ p = 5 , then : p = …… ( 20 - 5 - 30 - 1 ) =======================================================

19- Mark ( √√√√ ) for the correct statements and ( x ) for the incorrect ones :

a) x = 2 is a solution for the equation : x + 9 = 11 ( ) b) z = 11 is a solution for the equation : z – 6 = 17 ( ) c) k = 8 is a solution for the equation : 6 k = 42 ( ) d) m = 30 is a solution for the equation : m ÷ 6 = 5 ( ) e) p = 3.7 is a solution for the equation : 1.3 + p = 4 ( ) f) n = 17.9 is a solution for the equation : n ÷ 10 = 197 ( ) ======================================================

20- Use the inverse operation to write a related equation and find the

value of the variable : : : :

6

a) x + 8 = 15 b) z + 8 = 8 c) n – 15 = 42 ………………………………………………………………………………………………………………………………………………………………………

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

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

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

d) 3 c = 27 e) 37 t = 37 f) 70 = 50 + t ………………………………………………………………………………………………………………………………………………………………………

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

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

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

21- Underline the solution of each of the following equations : a) p + 4 = 18 , ( 22 – 14 – 72 ) b) 10 m = 90 , ( 9 – 100 – 10 ) c) k ÷ 6 = 6 , ( 36 – 12 – 0 )

d) x – 150 = 50 , ( 200 - 100 - 3 ) e) n × 1.5 = 3 , ( 4.5 - 0.5 - 2 ) y f) ( 36 - 4 - 15 ) , 3 = ـــــــ 12 ===========================================================================================================

22- Represent each word phrase by a variable expression :

a) Nine more than a number x (……………......................................)

b) Nine less than a number x (……………......................................) c) Three times a number y (……………......................................) d) Take away a number k from 18 (……………...................................) e) A number q divided by 20 (……………......................................) f) Seven increased by a number s (……………......................................) g) A number w decreased by 5 (……………......................................) h) Eight divided by a number m (……………......................................) i) Difference of a number h and 15 , where h is greater than 15 (…………….............................) j) Seventy nine multiplied by a number v (……………......................................)

k) One ninth of a number x (……………......................................) l) Three fifth a number n (……………......................................) ===========================================================================================================

23- Complete :

a) The value of (x + 17 ) if x = 33 equals ……………………..…… b) The value of ( 3 e + 8 ) if e = 4 equals ……………………..……

7

c) The value of ( q × 10 ) if q = 1 equals ……………………..…… d) The value of (100 ÷ v ) if v = 4 equals ……………………..…… e) The value of (31 – 2 h ) if h = 3 equals ……………………..…… f) The value of ( 66 ÷ h ) × 5 if h = 6 equals ……………………..…… g) The value of ( 7 t ) if t = 10 equals ……………………..…… h) The value of ( 4 a + 27 ) if a = 5 equals ……………………..…… ===========================================================================================================

Geometry 24- Complete

a) The diameter = 2× ……………………..……

b) If the radius of a circle =5cm,therefore the length of the longest chord = ….. cm

c) If the length of the longest chord in a circle = 7 cm , 22 then the circumference = ………………………………………..…… cm where π= ــــــ 7 d) If the length of a radius in a circle = X cm , then its circumference = ……….......cm

e) If the circumference of a circle = 10 πcm therefore, its radius length = …………..cm.

f) If the half of the circumference of a circle = 157 cm , therefore its diameter length = ………..…. cm where π= 3.14 22 g) The perimeter of the opposite figure =………………….. where π = ــــــــ 7

h) The perimeter of the opposite figure =……………………………...…… where π= 3.14

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

25- Choose the correct answer:-

a) The circumference of a circle =………… ( 2πr , πr , 4πr , 4πd ) 22 b) The circumference of a circle with diameter length 7 cm = ….cm where π= ــــــ 7 ( 22 , 44 , 66 , 88 )

c) The diameter of a circle whose radius length is 4 cm = ……m ( 2 , 4 , 6 , 8 ) d) The circumference of a circle =44 cm , therefore its diameter length = ……..cm

7cm 7cm

7cm

10cm

6cm

8

22 where π= ـــ ــــــ . (28, 14 , 7 , 9 ) 7 π 1 e) The circumference of a circle ÷ r = ………………… ( π, 2π, ـــــ , ــــــ) 2 2

==========================================

26- Which is longer , the circumference of a circle of radius 4.2 cm or the perimeter of a rectangle which is 22 5.4 cm long and 3.7 cm wide where π= ــــــــ ? 7 ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… …………………………………………………………………………………………………………

==========================================

27- Find the difference between the circumferences of two circles with radii 8.6 cm and 6.3 cm approximating the

result to the nearest one decimal place where π= 3.14 ? ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… …………………………………………………………………………………………………………

========================================== 22 28- Find the length of the radius of a circle if its circumference is 176 cm, π= ــــــــ 7 ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… …………………………………………………………………………………………………………

22 29- A circle is of circumference 66 cm ,find the length of its diameter where π= ـــــ ? 7 ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… …………………………………………………………………………………………………………

========================================== 30- If the half of the circumference of a circle = 314 cm , find its diameter in meters 22 where π= ـــــــ ?

9

7 …………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ……………………………………………………………………………………………………… …………………………………………………………………………………………………………

========================================== 22 31- Find the perimeter of the opposite figure where π= ـــــــــ ? 7 ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… …………………………………………………………………………………………………………

==========================================

32- The opposite figure represents a garden . There is a fence around it . If the price of a meter of this fence = 60 pound , find the cost of this fence where the perimeter of the 22 square = 28 m and π= ـــــــ ? 7 ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… …………………………………………………………………………………………………………… ………………………………………………………………………………………………………… …………………………………………………………………………………………………………

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

==========================================

33- Complete a) The area of the triangle = …….. ×……..×………

b) The base length = ……………... ÷ height

c) If the length of the base = 6 cm and the height = 4 cm , then the area of this triangle = ………………... cm 2

d) The area of the triangle is 30 cm 2 , and its base length 6 cm, then its height = ….cm.

e) The area of a triangle is120 cm 2,and its height is 1.2dm,then its base length= ….cm.

f) The perimeter of an equilateral triangle = 18 cm and its area = 15 cm 2 , then its height = …..cm .

========================================== 34- Find the area of shaded part in the opposite figure . ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… …………………………………………………………………………………………………………

10cm

6cm

7cm

10

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

35- Which is larger in area :- A triangle with base 8cm and height 7cm or a rectangle with length 8 cm and width 4cm ?

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

========================================== 36- Which is larger in area :- a triangle with base 10 cm and height 6 cm or a square with side length 5 cm ? ………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………..…………………………………………………………………………… …………………………………………………………………………………………………………

========================================== 37- The area of a square with side length 7 cm equals the area of a triangle . If its base length is 14 cm , find its height ? ………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………..…………………………………………………………………………… …………………………………………………………………………………………………………

========================================== 38-Find the area of an equilateral triangle if its perimeter= 27cm and its height=7.8cm ? ………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………..…………………………………………………………………………… …………………………………………………………………………………………………………

======================================== 3 39- The base length of a triangle is 14 cm and its corresponding height is ــــــ of its base 7 length . Find the area of this triangle ?

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

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

40- The base length of a triangle is 12 cm and the corresponding height is 4 cm less than its base length , find the area of this triangle?

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

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

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

41-Find the area of the opposite figure. ………………………………………………………………………………………………………………………………………………………………………

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

4 cm

2cm

11

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

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

========================================== 42- Find the area of the figure EBCD

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

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

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

========================================== 43- Find the area of the opposite figure. ………………………………………………………………………………………………………………………………………………………………………

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

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

========================================== 44- If the area of the triangle = 6 cm2, find its perimeter?

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

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

====================================

45- Find the area of the shaded part . ………………………………………………………………………………………………………………………………… …………………………………………….………………………………………………………………………………… ………………………………………………………………….………………………………….……………………..

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

========================================== 46- Find the area of each parallelogram :

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

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

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

==========================================

10.6cm

4.9cm 9.1cm

17.5cm

12cm

12 cm

E D A

C B

3 cm

10 cm

5 cm

7 cm

8cm

4cm

8cm

5cm

3cm

2cm 3cm

2cm

12

47- If the height of a parallelogram is 34.6 cm. and the base is 15.2 cm. , what is the area of the parallelogram ?

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

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

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

==========================================

48- Find the area of a parallelogram with a base of 7.4 cm. and a height of 8 cm.

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

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

========================================== 49- Find the area of the parallelogram ABCD if AB = 6 cm. , BC = 12 cm. , and the

greatest height is 4 cm.

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

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

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

========================================== 50- ABCD is a parallelogram of area 370 cm2 . E is a point on CD find the area the triangle AEB ?

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

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

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

========================================== 51- If the area of a parallelogram is 90 cm2 . and the length of the base is 9 cm. find the height ?

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

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

52- Which is larger in area, a parallelogram of side length 3.6 cm. and its corresponding height is 5 cm. or a triangle with base length 10 cm. and height 6.2 cm. ?

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

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

==========================================

53- complete : a- The area of the rhombus = the side length ×...........................................................................

13

1 b- The area of the rhombus = ــــــ × the product of........................................................................... 2

c- If the lengths of the diagonals of a rhombus are 20 cm. and 10 cm. , then its area = ……… cm2 .

d- A rhombus is of side length 12 cm. and its height = 4 cm. , then its area = ….. cm2 .

54- Find the area of each of the following rhombuses :

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

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

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

==========================================

55- A rhombus of side length = 6 cm. and its height is 5 cm. find its area .

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

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

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

========================================== 56- The lengths of the diagonals of a rhombus are 24 cm. and 10 cm. find its area .

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

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

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

==========================================

57- If the height of a rhombus is 10 cm. and its area = 54 cm2 , find its side length .

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

3cm

6cm. 3cm

15

cm 16cm

12

cm

14

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

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

========================================== 58- The area of a rhombus is 240 cm2 , and the length of one of its diagonal is 0.2 m . , then find the length of the other diagonal .

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

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

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

========================================== 59- If the area of a rhombus is 26 cm2 and its side length equals 6.5 cm. find its height .

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

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

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

========================================== 60- Find the area of a rhombus of side length = 8 cm . and its height equals twice its side length

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

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

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

========================================= 61- If the perimeter of a rhombus is 24 cm. and its area is 30cm2 , then find its height .

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

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

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

62- complete : a- The area of the square = the side length × ………….. 1 b- The area of the square = ــــــ × ……….. × …………. 2 c- If the side length of the square = 4 cm , then its area = ……… cm2 . d- If the length of the diagonal of the square = 6 cm. , then its area = …… cm2 .

==========================================================

63- The diagonal length of a square is 10 cm. find the area of the square . ………………………………………………………………………………………………………………………………………………………………………

15

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

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

========================================== 64- Find the area of a square whose perimeter is 12 cm.

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

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

========================================== 65- If the area of a square is 64 cm2. , find its side length and its perimeter .

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

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

========================================== 66- Which is greater in area : a square of side length 9 cm. or another square of diagonal length 12 cm. ?

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

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

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

========================================== 67- Which is greater in area , a square , whose diagonal is 10 cm. or a right- angled triangle whose right angle sides are 8 cm. and 15 cm.

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

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

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

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

==========================================

68- Which is greater in area , a rhombus whose diagonals are 16 cm. and 18 cm. or a square whose diagonal is 17 cm. ?

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

==========================================

16

Locating point on a coordinate plane

17

18

19

20

21

69- Find the value of x and y in the following data , then draw the frequency

polygon for this distribution :

Sets 10 - 20 - X 40 - 50 - Total

Frequency 5 8 11 9 Y 40

==========================================

70- Draw the histogram and the frequency polygon in the same figure of the

following distribution :

Sets 5 - 10 - 15 - 20 - 25 - 30 - Total

Frequency 3 7 12 9 5 4 40

==========================================

71- The following table shows the favorite TV programs for 60 pupils

Sports News Series Movies

15 5 10 30

Represent this date by pie charts .

==========================================

Good luck