# booklet 4th Prim First Term 2009 2010

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Revision

1)   65 thousands    = .....................

2)   714 Ten thousands = .....................

3)   58 Million        = .....................

4)   315 Hundred thousands = .....................

5)   160 thousands = .....................

6)   3200 hundreds = .....................

7)   16 million      = .....................

8)   1400 ten thousands =.....................

9)   47000=…. Tens

10) 4500=….. hundreds

11) 900000 = …..hundreds

12) 50 000= ……T. thousands

13) 219000 thousands = ……million

14) 50 000=…..       Ten thousands

15) 3 800 thousands         =     …tens

1
Large Numbers and Operations on them

Read and write in letters:
a) 111789600 :

b) 10010098765 :

c) 7,020461 123:

d) 12 006 253 :

e) 421 812 649 :

f) 25 109 648 :

g) 108 372 009 :

h) 700 000 000 :

Write in digits:
a) One million five hundred seventy nine thousand and fourteen.

b) One hundred thirteen million , four thousand and sixteen.

c) Thirty one million sixty four thousand seven hundred and twelve

d)Six hundred and eight thousands = ……………………

e)Three hundred and two thousands = ……………………

f)Fifty four thousand, two hundred and sixty = …………………

g)Seven million, eight hundred and fifty three thousand = ………………

h)Ninety four million, nine hundred and nine = ……………………

i)8 million, 35 thousand and 315 = …………………

2
j)Twenty millions, seven hundred forty three thousand, five hundred and

sixty two = ……………………

k)Eighty three millions, two thousand and eleven = …………………

complete:
a)5 milliard, 4 million, 757 thousand, 706 =........................................

b) ...........million,..........thousand,...........=45642630.

c) 7 milliard, 564 thousand =..............................................

d)...........million,..........thousand,............=610024003

Complete :
1) 345 821       = 821 + ………..

= 1 + 20 + 800 + ………. + ……. + ……….

2) 926 123 452         =452 + ………. + ………..

= 2 + 50 + ………. + ……..+ ………+ ………+ ………

+ ……….. + ………..

3) 2708 692 = …………...million + …………. Thousand + ……………

4) 123 790 144 = …………..million + …………. Thousand + ……………

5) 231 000 900= …………..million + …………. Thousand + ……………

6) 48 100 756 = …………..+ …………… +…………..

7) 10 800 900= …………..+ …………… +…………..

8) ………..……………..……=10 million + 513 thousand + 200

9) ………………….……….. = 601 million + 72

10) …………………………. = 1 milliard, 312 million , 800 thousand + 100

11) 73 324 789 = ………….million , …………thousand , and ……………….
3
12) 809 005 000 = ………….million , ……………thousand , and ……………….

13) ………………………….= 9 milliard, 602 million and 5

14) …………………………. = 4 milliard , 212 thousand and 10

15) …………………………. = 812 million and 10

16)110 000 000 = ……………million, …………….thousand and ……………

17)8 719 645 302= …… milliard, …… million,…… thousand and ..
18) 6 539 006 475=…… milliard, …… million,…… thousand and…
19) 2163 900 800= …… milliard, …… million,…… thousand and……
20) 5 180 070 506= …… milliard, …… million,…… thousand and ...

Choose the correct answer :
1) 2 millions , 3 hundred thousand, 5 ten thousands, 6 hundreds, 2 tens , 4 Units

a) 2 530 624                        b) 23 50 642

c)2350 624                          d) 2 305624

2) Eight milliard , 106 million , Three hundred fifty thousands, 6 hundreds twenty

four

a) 8 106 362 504                    b) 8106 305 642

c) 8 106 350 624                    d) 810 6 305 642

3) Three milliard, 4 hundred millions, two hundred fifty thousand , 3 hundreds sixty

four.

a)3 400 250 364                     b)3 400 200 364

c)3 425 364                       d)3 400 253 346

4
find the place value of the underlined digit:
a) 390065270000

b) 414567180

c) 2156712317899

Put > , < or = :
a) 752 301 019                       752 30 150

b) 84 271 302                        84 271 303

c) 372 019 490                       372 109 491

d) 6 ten thousand                    61 thousand

e) 926 360 319                       9233 000 10

f) 7 million                         700 000

g) 8 432 142 710                     8320 142 710

h) 112 million                       10 milliard

i) 7523 075421                       7523 059 254

j) 60 thousand                       600 hundred

Arrange in ascending order :
a) 210 111 , 560 421 , 450 611 , 390 870

The order : ………… , ………………… , ………………… ,……………………

b) 470 30 , 560 70 , 217 98 , 20 9 999 999

The order : …………… , ………………… , ………………… ,……………………

c) 75575 , 75757 , 77550 , 7057

The order : ………………. , ……………… , ………………… ,……………………

5
d) 101000 , 11001 , 10100 , 110010

The order : ………………. , …………… , ………………… ,……………………

Arrange in descending order :
a) 91 999 , 19 911 , 11 999 , 19 999

The order : ………………. , ……………… , ………………… ,……………………

b) 303 003 000 , 303 030 000 , 330 000 333

The order : ………………. , ……………… , ………………… ,……………………

Complete in same pattern :
a) 728 331 , 728 332 , 72 8 333 , ………………. , …………………

b) 616 605 , 616 610 , 616 615 . ……………… , …………………..

c) 50 000 , 250 000 , 450 000 , ……………….. , ……………………

d) 520 700 , 510 700 , 500 700 , ………………. , ……………………

Complete :
1) The smallest 10 – digit number is ………………………..

2) The smallest 9 – digit number is …………………………

3) The smallest 7 different digit number is …………………..

4) The greatest 8 digit number is ……………………………….

5)   The greatest 5 different digit number is ………………………

6) The largest 5 digit number formed of 6, 1, 3, 0 and 9 is…………… while the
smallest number is…………………

7) The number just after 999999 is………………and it is called……………

6
8) The smallest 10 digits number …………………..and is called………

9) The smallest 7 – digits- number is called ………………

10)   The smallest 7 - digits number similar……………..

11)   The smallest number formed from 3, 5, 7, 8 ,6,9,and Zero………..

12)   The greatest even 8 - digits number…………….

13)   The smallest _odd 8 - digits number……………….

14)   The greatest even 7- digits number……………….

15)   The smallest odd 7 - digits number………………

16)   The smallest different 5 - digits number……………..

17)   The greatest different 6 - digits number…………………

7
Remember That.

10 - digits      Smallest           Greatest

1 000 000 000     9 999 9999 999

even         1 000 000 000     9 999 999 998

odd         1 000 000 001     9 999 999 999

similar       1 111 111 111     9 999 999 999

different      1 023 456 789     9 876 543 210

Similar Even     2 222 222 2222   8 888 888 888

Similar odd      1 111 111 111    9 999 999 999

Different even   1 023 456 798     9 876 543 210

8
Operations

Find the missing:
a) 516234 + ……………… = 834321
b) …………… + 2465 = 52310
c) 46324 + …………… = 93465
d) …………… - 12461 = 53462
e) 84295 - ……………… = 37586
f) …………… - 24978 = 57428

Complete:
a)   456324                            b) ……………………

+ …………………….                           +3645203

965243                                  6442043

c)    320045                           d) ………………………

+ ……………………….                           +132468

791232                                 600342

e)    4632654                          f) ………………………

- ………………………                           -30406

234657                             49878

g)    …………………                          h) 8 3 6 4 2 1

-124632                           - ………………………

534627                               435623

9
Story problem:

1)The number of the new born babies in Cairo was 1350647 88 and in Giza

were 952746876 .

Find the total number of the new born babies with two governorates.

Find the difference between them.

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

(2) Three Lorries carry out 456739 765kg of rice. The first carries out

32546 765kg and the second carries 87634 kg. How much rice does the third

carry?

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

(3) Youssef bought a car, its cash price is L.E 125231 and its price with

installment is LE 190000 . Find the difference between the two prices.

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

(4)Dina has LE 9365167 and her sister has LE 17449342 . How much
moneydo they have altogether.

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

10
Find the result of each of the following:
a)   135       b) 1 2 3 0   c) 4 7 4     d) 5 0 80    e) 1 3 3 0

x     40      x      800   x     90     x     70     x     40

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

f) 2 5        g) 30 9      h) 37 8      i) 58 1      j) 9 80

x   1 00      x 2    0     x 75 0       x 50 0       x     700

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

k) 5 2 3      l) 3 0 6     m) 2 3 7     n) 5 4 8     o) 7 6 5

x    3 7      x     63     x    52      x    3 2     x    78

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

11
p) 5 2 3 1           q) 3 8 0 6           r) 2 4 5 7                 s) 5 2 3 1

x      73            x      81            x        46                x       73

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

t) 8 9 0 8           u) 4 5 1 6           v) 3 6 5 8                 w) 2 6 5

x      97            x      82            x        26                x      83

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

Complete :
a) 124 x 7 = ………….         b) 356 x 18 = …………           c) 276 x 90 = ………

d) 2 187x 30= …………         e) 4 356 x 6 = ………….         f) 16 x 231 = ………...

g) 23 x 340 457 = …………     h) 13 x 53 211 = ……….        i) 60 x 731 420 =

j) 53 x 72 451 = ……………     k)30 72 x 81 = ………….         l) 43 x 13 x 23 =

m) 25 x 40 x 321 = ………… n) 40 x 64 x 90 = ……………

Choose the nearest number to the result without doing

multiplication operation :
a) 25 x 999 x 4 = ………….

1) 90 000           2) 100 000     3) 110 000 000

b) 30 x 95 x 62 = ………….

1) 200thousand     2) 100         3) 30

12
c) 52 x 49 x 84 = …………..

1) 300 000          2) 200 000        3) 400 000

d) 250 x 24 = ……………..

1) 6 thousands      2) 4 000          3) 3 000

e) 8 x 125 x 72 = ………….

1) 80 000       2) 70 000         3) 60 000

f) 99 x 98 x 99= ………….

1) million        2) 900 000        3) 800 000

g) Farm produces 500 plates having 20 eggs each. Find the number of eggs

produced by this farm…………………………………………………………………………………..

h) One ticket to a football game costs LE 13. How much do 38 pupils pay to

see this game? ………………………………………………………………………………………………

i) A merchant bought 86 T.V sets for 1030 LE each what is the total price

of the T.V sets? ………………………………………………………………………………………………..

13
Division

Complete:
a) 1714 ÷ 2 = ………………..

b) 3266 ÷ 71 = ………………

c) 4374 ÷ 81 = ………………

d) 52420 ÷ 36 = ……………

e) 1296 ÷ 27 = ………………

f) 672 ÷ 24 = ………………..

g) 432 ÷ 18 = ………………..

h) 416 ÷ 16 = ………………..

i) 648 ÷ 18 = ………………..

a) If the quotient = 25 and the divisor = 625 then the dividend equals………
( 25 – 15625 – 625 )

b) If the divisor is 25 and the quotient is 50 then the dividend is ……………..
( 2 – 25 – 75 1250)

c) 725 ÷ 25 = 29 is called ………………..

(divisor – divided – quotient )

d) 28 ÷ 7 = 4 then 28 is called ……………

14
( dividend – quotient – divisor )

e) Find out the number if it is divided by 34, the quotient will be 52 and the

remainder is 16.

f) If 5304 ÷ 136 = 39 , then 39 x 136 = ……………..

g) Find the number if you divided by 236 the quotient will be 38 and

remainder 9

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

h) Find the number if divided by 600 the quotient will be 28

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

i) Find the dividend if the quotient is 7,the divisor is 11 and

the remainder is 2.

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

j) Find the number that if multiplied by 17 , the product will be 1 156.

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

k) Find     the    remainder        of   the    division    operation   1293÷56

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

f)Each day, Samira spends 75 piastres. How much does she spend in 15 days?

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

g)Ayman bought 24 notebooks for P.T. 840, how much did Ayman pay for each

notebook?

15
……………………………………………………………………………………………………………………

h)The price of 18 books is P.T. 1044. What is the price of each book? What’s

the price of 25 books??

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

i)A grocer has 444 kgm of butter. He puts 12 Kgm in each packet . Find the

number of packets does he need?

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

j)Ahmed bought 31 metres of cloth for L.E.775. Find the price of one meter.

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

k)A farmer bought 12 cows for L.E. 15732. Find the price of each cow.

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

l)A hotel has 221 rooms, divided equally among a number of floors, Each floor

has 13 rooms. How many floors are there in the hotel?

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

m)Ahmed bought 12 kg of apples for P.T. 8400. Find the price of 23 kg of the

apples of the same kind.

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

16
n)A man earns L.E. 8700 a year. How much money does he earn in a month?

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

o)Aly bought a T.V. set for L.E. 3450. He paid L.E 400 and the rest was paid

on 25 equal installments. Find the value of each installment.

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

p)A train covers 129 km in one hour. How long does it run in eleven hours??

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

q) A lady has 765 flowers. She wants to put 17 flowers in each basket.

How many baskets does she need??

Put > , < or = :
a) 4215 ÷ 25                         4215 ÷ 5

b) 550 ÷ 5                           (55 ÷ 5) x 10

( Revision ) Types of lines:

Straight line:

Has no starting point
17
Has no ending point                       A              B

Has no length                       AB    or    BA

Line segment:

Has a starting point                  A              B

Has an ending point

Has a length                       AB or BA

The Ray:

Has a starting point

Has no ending point

Has no length                 AB           A         B

Has a direction

Remember:
 line segment is a part of ray and straight line

 KL = LK.
18
 KL is not the same as LK.

Drawing a perpendicular to a straight line a given point

1) Draw :           ┴
C

C                                                           B
C
B
A

A
A            B                       C

B

A
A          C           B

Complete using (//) or (┴) :                         D

a)   …………..                                  E

b) FG…………..                                                  C
F
19

A
c)   …………. FG

d)   intersects   at ……………

e)   intersects   at …………

Complete using (//) or (┴) :                               D

a)   ……………                                     E

b)   …………….                                                            C
F
c)   ……………

d)   …………..
A
G       B
e)   …………..

f)   …………..

The opposite is a rectangle : Complete by putting ( ┴, x , // or M)
D                               C
a)   ……………
M
b)   …………….

c)   and     intersecting at ……………..
A                               B
d)   …………..                                            E

In the opposite figure, complete each of the following :
a) The figure ABCD is called ……………..
C
B
b) Its vertices are …………………………

c) Its sides are ……………………………
X
d)   and     intersect at point ………………..
20      A                                   D
e)   // ………….. ,   // ……………………

f)   ┴ ……………. ,     ┴ …………………

g) The measure of < CXD = ……………and the measure of < ADC = ……………

h) AB = ………………, BC = …………….

Complete :
L                   Z
a) XYZL is a …………………..

b)   // …………and    // ……………….

c)   and   intersect at …………….                    M
Y
X
d)   ┴ …………and      ┴ ……………

In the opposite figure , complete using // or ┴:

a)   …………..

b)   ………….
E       A           F
c)   …………..

d)   ………….

e)   ………….
C                   B
D
21
H
f)    …………..

Write Interesting, parallel or orthogonal :

…………………….                 ………………………….

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

Complete using (//) or (┴) :
A       F     G
a)    ………….                      B       E         H

b)    ………….                      C       D         I

c)    …………

d)    …………..

L
22
Complete :
M
D                     C

A                     B
X                              Z
Y
a)        …………….                            a)       …………….

b)        …………….                                b)   …………….

c)        …………….                                c)   ……………..

Complete :                                  E             D    C

a)        …………….

b)        …………….

c)        ……………
A        B
d)        ……………

Complete :                                  M                      X

a)     // ……… b)     ┴ ………

c) ………… //                                  L                      Y

d)        …………..

e)        and   meet at point ……………..
Z

Complete :

23
a)       ………….

b)    ┴……………                                        E
C                               D
c)       // ……………

d)       …………….

B
A          F

(Lesson2) Polygon

Shape           Side           Angle               Diagonal             Picture

Square       all sides are   Has 4 right   Equal, perpendicular

equal          angles      and bisect each other

Rectangle      Each two       Has 4 right           Equal, not

opposite sides     angles       perpendicular and

are equal and                       bisect each other

parallel //
24
Rhombus        Has 4 equal                        Not equal,

sides                    perpendicular and

bisect each other

Parallelogram     each two                         Not equal or

opposite sides              perpendicular (⊥) but

equal and                       bisect each other

parallel

Trapezium       4 sides two                       Not equal or

sides only are                   perpendicular ⊥

parallel

Pentagon         5 sides       5 angles

Hexagon          6 sides       6 angles

Octagon          8 sides       8 angles

Complete the following. In the quadrilateral :

a) Each two opposite sides are parallel in …………………. , …………, ………..and

………………..

b) Each two opposite sides are equal in length in …………. , …………. ,

……….and ………………

c) The four sides are equal in length in ………………and ………………..

d) The four angles are right in ………………….and …………………..

25
e) The diagonals in ……………..and ……………….are equal and bisects each

other.

f) The parallelogram is a quadrilateral in which each two opposite sides are

………………..

g) The rectangle is a quadrilateral in which each of its four angles

……………………

h) The rhombus is a quadrilateral in which all sides are equal in ………………

i) The measure of each angle of the square ………………………..

j) Any angle of the four angles formed from the intersection of two perpendicular

straight lines is a …………………………….

k) Two parallel straight lines are two ……………………straight lines.

l) The diagonals of any square are ……………………..

Choose :
1) The diagonals are equal in length in …………………….
a) Parallelogram                               b) Rhombus

c) Trapezium                                   d) Rectangle and square

2) The diagonals are  in ……………………..

26
a) Triangle                            b) Square and rhombus

c) Square and rectangle                     d) The parallelogram

3) Only 2 sides are parallel and not equal in length in ……..
a) Square                                   b) Rectangle

c) Rhombus                                  d) Trapezium

4) ……………. and …………….have 4 right angles
a) Parallelogram and square.                b) Square and rhombus

c) Rectangle and Trapezium             d) Rectangle and square

5) The diagonals are not equal in length in ………………… , …………….. and
……………….
a) Parallelogram , rhombus and trapezium.
b) Rectangle , square and triangle.
c) Parallelogram , square , circle

Any polygon that has four sides.

27
Complete :                     C
F
a)   // …………………
G
28       A
D
b)     ┴………………….

c)     // …………………

d)     intersects     at ………………

e) M ( < CGA ) = …………….

f) M (< EGB) = ………………

1- In a rectangle :

a. Each two opposite sides are …………………..

b. All angles are …………………………………..

2- In a square :

a. All sides are …………………in ………………….

b. All angles are ………………………….

1) Draw a square ABCD in which AB = 4cm , then join      and

2) Draw the square ABCD of side length 6 cm.Draw the two diagonals.

3) Draw the rectangle ABCD in which AB = 6 cm , BC = 3 cm. Draw the two

diagonals

4) Draw rectangle ABCD in which AB = 7 cm, BC = 4 cm . Draw the two

diagonals.

(Lesson 3 ) The Triangle

29
Kinds of triangles

According to lengths of its sides               According to their Angles

1- Equilateral Triangle                           1- Right – angled triangle
60º

a) It has 3 equal sides.                        a) It has only one right angle (90) º
A
60º         60º

B
b) It has 3 equal acute angles.                 b) 2 acute angles         C

each angle equal to 60º

AB = BC = CA

 B =  A =  C = 60º                          2) Obtuse Angled Triangle

2) Isosceles Triangle          B
a) It has one obtuse angle
C
a) It has 2 equal sides.                                  , and 2 acute angles.

A
C                     A                                        B
b) It has 2 equal angles                        b) A + B + C = 180º

3) Acute Angled triangle
A

3) Scalene Triangle                             a) It has 3 acute angles their

a) It has 3 different sides.                        sum = 180º                B             C

b) It has 3 different angles                    b) It has neither a right angle nor

obtuse angle

30
Notes:

1. A right angle = 90º
2. An acute angle is < 90º
3. An obtuse angle is > 90º and less than 180º
4. The sum of angles in any triangle is = 180º
5. Any triangle has at least 2 acute angles.
6. Perimeter of triangle= sum of all sides lengths.

1) Draw triangle ABC where AB = 6 cm in (<A) = 700 , m (< B) = 500

a) What is the type of the triangle?

b) According to :1. Side lengths       2. Angles

2) Draw triangle XYZ where XY = 5 cm , YZ = 7 cm. m (< X) 1200

3) Draw ∆ XYZ in which = XY = 7cm, m (< X) = 1000 , and m (< Y) = 500

Measure (< Y) =……., then answer :

a) What is the sum of the measures of angles of ∆ XYZ ? ……………0

b) What is the type of the triangle XYZ according to the measures of its

angles ? …………………………….

4)Draw the triangle ABC in which <B is a right angle, m (<C) = 600 and

BC = 4 cm . Find the measure of <A, then check that the sum of measures of

angles of a triangle is 1800.

5)Draw ∆ ABC in which AC = 7 cm , m (< A) 450 , and m (<C) 750
31
a) Calculate, mentally , m (<B) , then check your answer using the

protractor.

b) What is the type of the triangle according to the measures of its angles ?

c) What is the type of the triangle according to its side lengths ? (measure

the lengths of the sides)

Complete :
a) If ABC is a triangle in which m ( < B) 980 , then it is ………………triangle

b) If XYZ is a triangle in which m ( <X) = 1000 and m (<Y) = 580, then

m (<Z) = ………………………

c) The    rhombus     is    a     quadrilateral   in   which     all     sides   are

………………………………..

d) It is possible to draw a triangle given………………….and ……………….

(Lesson 4 ) The Circle

Definitions of the Circle

32
1) The distance around a circle is called its circumference.

2) A line segment that joins any point on the circle to its
centre is called a radius.

3) All the Radii of a circle are equal in length.

4) Infinite number of radius can be drawn in a circle

5) A line segment that joins any two points on the circle and
passes through its centre is called a diameter.

6) The diameter is the longest chord.

7) The length of the diameter of a circle is twice the length
of its radius.( D =2 r )

Circle

33
a)    is        A radius

b)    is        A central angle
C
c)    is         A chord
A                      B
M
d) < AMC is      A diameter

Use the given figure :
The figure shows a circle with center M
L
a) Name the circle.

b) Name two radii.                                     X                   Y
M
M
c) Name three chords.                                          Z

d) Name a diameter.

Complete each of the following :
a) The diameter of the circle is a chord which …………………………………….

b) Any linesegment whose end points are on the circle is called …………………

c) The diameter = 2 x ..........

d) The greatest chord in a circle is a ………………………                   M

e) In the opposite figure : < XMY is a ……………….angle.
X           Y
Unit three .Multiples ,Factors and Divisibility

(Lesson 1)Multiples

Write :
34
1)The multiples of 2 are………,……….,………..,…………..,………….,………..,….,......

2)The multiples of 3 are………,……….,………..,…………..,………….,………..,….,.........

3)The multiples of 5 are
………,……….,………..,…………..,………….,………..,….,............

4)The multiples of 10 are
………,……….,………..,…………..,………….,………..,….,............

5)The multiples of 100 are ………..,…………..,………….,………..,….,............

6)Multiples of 2 and 5 less than 40 are …………………………………….

7)Multiples of 2, 3, 5 less than 40 are ………………………………….

8)Multiples of 2 and 3 are also multiples of ………………

9)Multiples of 5 and 6 are also multiples of ………………

Find :

1) The multiple of 2 till 30 are …………….

2) The multiple of till 35 are………………

3) The multiple of 5 till 32are………………

4) All multiple of number 5 between 14 and 44 are……………..

5) All multiples of number 2 between 11 and 24 are………………

6) Multiples of 2 and 5 less than 45 are …….

35
7) Multiples of 2 , 3 , 5 less than 50are …….

8)Multiples of 5 and 6 are also multiple of ….

9)Multiples of 2 and 3 are also multiple of …………….

Write :

a) Three      common          multiples        for     the    number   6   and

10……………………….

b) Three common multiples for thnumber2,3 and 4 ……………………….

Divisibility

Underline each number which is divisible by 2:

18 ,       65    ,      72    ,     51    ,         3804 ,   696
36
Underline the numbers which are divisible by 5:

735 ,       203 ,        410 ,        725 ,       551 ,        210 ,        350

Circle the numbers which are divisible by both 2 & 5:

2735 ,       820835 , 9700 ,             5020      , 632        ,8796

Underline the numbers divisible by 3:

1002 , 456 , 3131 , 989 , 321 , 111

Underline the numbers that are divisible by 10:

538 – 900 – 6380 – 418 – 765 – 380

Note: The number is divisible by 6 if it is divisi ble by 2 and 3.
The number is divisible by 15 if it is divisible by 3and5

Complete :

a. The number is divisible by…………if it is divisible by 2 and 3.
b. The number is divisible by 15 if it is divisible by…………and…………
c. The multiples of 5 that lies between 16 and 52 are………………
d. Write a 3 numbers divisible by 2 and 5

e. 3240 is divisible by…………, …………, …………

Choose

a)The number 477 is divisible by each of the following numbers except : ( 3 , 6 , 9)

b)The number 348 is divisible by each of the following no.except (2, 3 , 4 , 5 , 6)

c)Which number is divisible by 6 ? ( 213 , 468 , 621)

37
Factors and prime numbers

Write the factor of :
a) 45                b) 16               c)24

d) 36                e) 20               f) 40

e) 17                h) 49               i) 17

j) 23                k) 28               l) 13

m) 27

Write the common factor of :

a) 20 , 30                   b) 16,24

c) 12,18                          d) 8,16

e) 12,28                          f) 24,40 , 56

g) 18 , 2 , 1 , 15

Prime numbers

Write the prime numbers between :
a) 10 , 30

b) 20 , 40

1) The numbers that has only two factors is called is called a ………………………

38
2) The only even prime number is ……………………………………………………

3) The smallest prime number is ……………………………………………………..

4) …………………….is a factor of all numbers.

5) The smallest odd prime number is …………………………………………………

6) The prime number has …………factors , they are …………. , ………….

8) 2 , 3 , 6 are factors for the number ……………………………………………….

9) Write 2 numbers has only 2 factors. …, …..

10) Write 2 numbers has only 3 factors. ……,……

Find the factors of the following numbers:

7      ,   12 ,      17   ,     50   ,     60   ,    12   ,100

Complete:
a. The prime number has only….

b. The smallest prime number is…

c. 1 is not a prime number because….

d. The number………is the smallest prime number

e. All prime numbers are………numbers except the number………is….

f. The number 9 is not a prime number because………………………………

g. 1 is a factor of………………
39
h. 35 has………………factors which are……………………

i. The factors of 18 are……………………………

write the prime numbers between 10 and 30.
a) 48 is not divisible by………………
b) 2 , 3 , 3 , 5 are the prime factors of……………
c) The factors of 63 are…………………
d)………is a prime number.             (14 , 21 , 17)
e)……… is not a prime number. (1 , 2 , 3)
g)     The   multiples    of   5    that    lies   between   16   and   51
are…………………………………

Lesson 4 ,5 Fatorization

Factorize the following to its prime factors :

a) 15 , 12 , 9 , 26 and 36
40
b) 6 , 8

c) 12 , 18

d) 24 , 30

e) 6 , 18 , 30

f) 45 , 60

g) 3 , 8 , 12

Find the H.C.F of :

a) 6 , 9

b) 16 , 24

c) 24 , 27

d) 12 , 24 , 18

e) 12 , 28

f) 8 , 12 and 16

g) 35 and 49

h) 15 , 18 and 21

Factorize and then find H.C.F and L.C.M of :

a) 20 and 30

b) 35 and 45

41
c) 12 and 15

d) 8 and 18

e) 24 and 36

f) 15 , 20 , 45

Note :
 0 is a common multiple for all numbers.

 1 is a common factor for all numbers.

 0 is not the lowest common multiple.
42
 1 has only factor which is itself.

 All prime numbers has 2 factors only.

 1 is not a prime number.

 The smallest and least only even prime number is 2

 The smallest odd prime number is 3.

 All prime numbers are odd except 2 is even .

 The prime number has 2 factors only 1 and the number itself.

Length

Remember that :
Km                                         Km2
÷ 1000               X 1000           ÷ 1000000              X 1000000
2
m                                          m

dm                        43               dm2

Cm                                         Cm2
÷ 10                   X 10                       ÷ 100      X 100

÷ 10                   X 10               ÷ 100              X 100

÷ 10                   X 10               ÷ 100              X 100

Complete :

a) 3 centimeters = ………….mm

b) 2 cm = ………………..mm

c) 40 mm=………c.m.

d) 65 m =……….c.m.

e) 7K.m. = …………..m

f) Arrange the units of length ascending (cm , m , mm ) … , … , …

g) 3 km = …………..m

h) 9000 m = …………..km

i) 8 km = …………m =……………dm

j) 4 km = ……….m =…………cm

Choose the suitable unit to measure each of the following :

a) Thickness of an electric wire . ( mm , cm , m )
b) Length of the classroom. ( mm , cm , m )
c) Length of the playground . (mm , cm , m)
44
d) The height of a lamp post. ( mm , cm , m)

Arrange the units of length ascendingly :
Centimeter , decimeter , millimeter , kilometer , meter

…………..,………………,…………...,…………,…………….

Choose the suitable unit to measure each of the following :

a) The distance between Cairo and Alexandria . (mm , dm , km)

b) The height of a building. ( mm , dm , m )

c) The height of man. ( m , cm , mm)

d) The length of an ant. ( km , mm , m)

e) The length of a taxi = …………..( 2 km , 20 m , 200 cm)

f) The length of my pen = …………( km , 15 dm , 15 cm)

g) The height of my brother = …………..(3m , 160 cm , 160 mm)

h) My mother bought a piece of cloth of length ……….(3km , 3 m , 3 cm , 3mm)

Put ()for the correct statement and () for incorrect one

and correct the mistake

a) The square meter (m2) is used to measure the perimeters

of figures. (     )

b) The decimeter (dm) is used to measure the areas of the

figures.    (     )

c) The millimeters (mm) is used to measure the lengths

of the things.    (     )
45
d) Area of square = side length X 4.             (   )

e)Area of rectangle whose length is 2 cm and

width 5 cm = 10cm2.      (       )

f)Area of a square – shaped piece of land of side

length 3 m is 9 m2.(       )

Complete :

a) 3 cm = …………….mm                           b) 5 dm = …………..cm

c) 1 km = …………..m                           d) 2m = …………….cm

e) 45 mm= ………….cm                            f) 850 cm = …………dm

g) 4275 mm =……….dm                           h) 8270 cm = ………..m

i) 5890 m = …………..km                         j) 3 km = …………..m

k) 3m2 = …………….dm2                           l) 7 m2 = ………….cm2

m) 2Km2 = ……………m2                          n) 2700 dm2 = ……………m2

o) 92 750 cm2 = ………….m2                   p) 6 253 280 m2 = ……………km2

46
Rules of the (Area , Perimeter )

Square
Area =side x side
Perimeter=side x4
Side =perimeter ÷4
Rectangle
47
Area =L x W
A rea
Length= width
Width= length
A rea

Perimeter=2x(L+W) , ( L + W ) X 2
Length= Per - W
2

Width= Per - L
2

Geometry Sheet

Complete :

a) The perimeter of the square = side x …………………………

b) The perimeter of rectangle = 2 x ( ………….. + ………….)

c) The area of the square = ………….. X ……………

d) The area of rectangle = ……………. X ……………..

e) The side length of the square = ……………..÷ 4

f) Length of the rectangle = …………… ÷ …………..

48
g) Width of rectangle = ………………… ÷ …………..

h) The perimeter of rectangle whose length is 7 cm and width 3cm =

(………..+ ……….) x …………… = ……………cm

i) Perimeter of a square is 24 cm then its side =……………
and its area = ……………
Find the perimeter and the area of each of the squares with
side lengths :
a) 7 cm    Perimeter=…………………………………………………………

Area……………………………………………………………………………….

b) 13 cm   Perimeter=………………………………………………………

Area =…………………………………………………………………………..

c) 10c m   Perimeter=…………………………………………………………..

Area =…………………………………………………………………………

Find the perimeter and the area of a rectangle with :
a) Length 6 cm and width 4 cm.

…………………………………………………………………………………

b) Length 12 and width 8 cm.

…………………………………………………………………………………

c) Length 25 cm and width 17 cm.

…………………………………………………………………………………

49
d) Length 13 cm and width 6 cm.

…………………………………………………………………………………………

1)Draw a square XLMN with side length 8 cm and find its
perimeter and area ?

2)Draw a rectangle ABCD with length 7 cm and width 3 cm and
find its perimeter and area ?

Trial Exam(1)

1) Find the result :

a) 87 562 + 5 429 = ……………                     b) 39 057 – 14 583 = …………

c) 3 478 x 9 = ……………….                        d) 721 014 ÷ 7 = ………………

2) Choose the correct answer :

a) The smallest prime number is …………..                 (0,1,2)

b) It is possible to draw a triangle given the measures of ……..angles and one side.
50
( 2 , 1 , 0)

c) The greatest chord of the circle is called ……………

( radius – diameter – central angle)

d) One hundred thousand , three hundred and seventy five …………….

( 10 375 – 100 375 – 375100)

e) Which of the following numbers is the closest to five hundred million ?

( 500 000 900 – 500 005 000 – 499 999 000)

3) Complete :

a) If XYZ is a triangle in which m (<X) = 1000 and m (<Y) = 580 , then m (<Z) =

……………….

b) The multiples of 6 which are between 20 and 40 are ………………..

c) All sides are equal in length in …………………………..

d) The area of the square whose side length is 5 cm is ……………..

e) 3 km = ……………….m

4) Find :

a) Find the H.C.F and the L.C.M for the numbers 8 and 12.

b) Find the number that if divided by 48, the quotient is 625 and the remainder 17.

51
c) Find the number that if subtracted from one milliard, the difference

is 758 209 312

5) Draw the triangle ABC in which AB = 3 cm , BC = 4 cm and m (<B) = 90 0 .

measure the length of AC .

a) Calculate the perimeter of the triangle.

b) What is the type of the triangle ABC according to

a) Its side length.                        ii) The measure of its angles.

Trial Exam (2)

1) Put > , < or = :
a) Area of the rectangle whose                            Area of the square of side

Dimensions are 4 cm and 15 cm                             length 8 cm.

b) 549 467 + one hundred thousand                         559 467

c) 4 x 16                                                 100 ÷2

d) The L.C.M for the number                                The H.C.F. for the numbers

4 and 8                                             6 and 30
52
e) 3 407 805 + 927 716                                     3 500 512 – 1

f) 8 m                                                     800 cm

2) Choose the correct answer :
a) 100 x 977 = ………………..                             ( 97700 , 10 000 , 110 000 )

b) Any two straight lines intersected at ( 1 - 2 - 3 ) points.

c) A polygon that has four sides is called ( pentagon – quadrilateral – hexagon )

d) Length of the playground                   ( mm – cm – m)

e) The number 63 is divisible by ……………                     (5–2-3)

3) Complete :

a) The value of the digit 3 in the number 3108 721 014 is ………………….

b) The factors of 12 are …………………………………

c) 400 cm = …………..mm

d) The prime numbers between 2 and 19 are ………………….

e) The greatest 10 digit number is ………………………………

4) Find :
a) Hesham has L.E 20 000, he bought a bedroom for L.E 8 750 and a

reception for L.E 6 250 . Find the remainder

5) A) Draw ∆ ABC in which AC = 7 cm, m (< A) = 450 , and m (< C) 750
53
i) Calculate , mentally , m (< B)

ii) What is the type of the triangle according to the measures of its

angles and according to its side length ?

B)Complete     :
5cm
a) The figure is called ……………………            D                    C
M
b)    ……………..
4cm
c)    ……………..
d) The area of the figure ……………….           A                    B
e)    and       intersect at the point ………………….

Trial Exam (3)

1) Find :
a) 8 256 344 – three thousand = ……………………..
b) 549 467 + one hundred thousand = ……………………
c) 920 ÷ 3 = ……………..
2) Choose the correct answer :

54
a) One hundred thousand three hundred and seventy – five …………
( 10 375 – 100 375 – 1 375 – 375 100 )
b) Which of the following numbers is a prime number ( 9 - 21 – 29)
c) Triangle ABC the length of AB = BC = AC then the type of this triangle

according to its side is ( scalene – equilateral – isosceles )

3) Complete :
a) 23 600 156 = …………. M+ ………….. TH+ …………..

b) For any polygon number of sides …………..number of vertices …………number

of angles.

c) The factors of the number 35 are ………………..

d) The diagonals of the square are ……………..and …………………

4) Find :
a) Write the place value of the under lined digit in each of the following
Numbers :
a) 27 351                   b) 156 348                c) 723 608
d) 543 092                  e) 230 045                f) 467 900

b) The H.C.F. and L.C.M of 18 and 30 are ……………………………

5)     A) Draw the rectangle XYZL in which its dimension are 5 cm and

2cm, then complete

a. XY = …………. = ………..cm and YZ = ……….. = ……………cm
b. XY // ……………and XY ⊥ …………..
c. YZ // …………….and YZ ⊥ …………..

B) Complete :                                                  C

55               A               B
M
a) The figure is called …………………..

b) The diameter of the circle is ………………..

c) …………………and …………..are radii

Trial Exam (4)

1) Find :
a) 3 412 107 305 + 5 835 760 119 = …………….
b) (113 280 075 + 45 909 138 ) – 147 657 249 = …………….
c) 475 x 23 = ……………
d) 2072 ÷ 56 = ……………..
2) choose the correct answer :
a) Two sides are parallel and two sides are not parallel in ……………
( parallelogram – trapezium – rhombs )
b) The perimeter of a square is 28 cm its area is ……………….
( 7 cm2 – 49 cm – 49 cm2 )
c) …………….is a multiple of all numbers.         ( 1 – 2 – zero )
3) Complete :
56
a) The L.C.M of 15 and 35 is ………………( 15 – 105 – 35 – 5)
b) Find the H.C.F. for the numbers 9 , 12 and 15 ( 9 – 15 – 3)
c) The number 2 108 is divisible by …………..( 5 – 3 – 2 )
d) 3 m2 = …………..dm2
e) The perimeter of a rectangle whose dimensions are 7 cm and 11 cm = …………

4) Find :
In one of their happy occasions , a family bought 18 kilograms of meet for

L.E35 a kilogram and 16 liters of juice for L.E4 a liter. How many pounds

did the family pay?

5)Find three common factors for 8 and 16 ?

6)Find the prime numbers between 1 and 20 ?

7)A) Draw triangle XYZ in which XY = 7 cm , YZ = 5 and m (<Y) 400

What is the type of the triangle according to it sides and according to its

angles ?

B) The dimensions of a rectangle are 90 cm and 40 cm. if the area of the

rectangle equals the area of a square find the side of the square

57
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