Class:.. Homework Rubric : ( 10 marks )

Transcription

1 Name : Class:.. Homework Rubric : ( 10 marks ) 8 marks for accuracy.( To be complete and correct ) 1 mark for punctuality. ( To be delivered on time ) 1 mark for organization ( To be clean, neat and tidy ) 1

2 Lesson QR Code Large numbers Expended & Compact form Multiplying by 1- digit number Multiplying by 2- digit number Divisibility Prime numbers Area of square and rectangle Division Polygons Factors 2

3 Prime factors Triangle Perimeter I am going to help you to read and write large numbers up to milliard Large numbers Hundred thousands. Millions, ten millions, hundred millions. Milliards (Billions). Operations on large numbers. 3

4 Greatest no. Add Smallest no. 5 digits digits digits digits digits Hundred thousand One million Ten million Hundred million One milliard 6 digits 7 digits 8 digits 9 digits 10 digits Reading large numbers ( in words ) : , 612 : Four hundred eighty two thousands six hundreds and twelve , 070, 004 : Sixty two millions seventy thousands and four. Writing large numbers ( in digits ) : 1. Five millions seven hundreds eleven thousands three hundreds and ninety : 5,7 1 1, Three hundred five millions and eighty eight : 3 0 5, 0 0 0,

5 Exercise (1) 1) Read the following numbers (write in letters): a) b) c) d) ) Write the following numbers ( in digits ) : a) Three million, four hundred thousand and twenty. (...) b) Fifty seven million, five hundred thousand and five. (...) c) Fifty milliard, two hundred forty three million, five hundred thousand and two hundreds. (..) d) Six hundred twenty million and four hundred two. (..) 5

6 Exercise (2) 1) Read (write in letters): a) :.... b) :..... c) :... d) : ) Write in digits: a) Four million, two hundred six thousand, seven hundred and thirty. (..) b) Eighty three million, fifty nine thousand, one hundred and sixteen. (...) c) Ninety milliard, fifty four million, seven hundred thousand and eighty (..) d) Fifteen million, five hundred five thousand and five. (.) 6

7 Exercise (3) 1) Complete the following : a) =... thousands +... b) =... thousands +... c) =... m +... ths d) =... m +... ths +... e) =... m +... ths +... f) =... ml +... m +... ths ) Write the number : a) 23 ths =... b) 320 ths + 81 =... c) 6 m ths =... d) 23 m + 78 ths + 2 =... e) 46 ml m ths =... 7

8 Exercise (4) 1) Choose the correct answer: 1) The place value of the digit 2 in the number is a) millions b) ten millions c) hundred millions 2) The place value of the digit 8 in the number is a) thousands b) millions c) ten millions 3) The place value of the digit 6 in the number is a) millions b) hundred thousands c) ten millions 4) The value of the digit 4 in the number is. a) b) c) ) The value of the digit 9 in the number is a) b) c) ) The value of the digit 5 in the number is. a) b) c)

9 Exercise (5) 1) Complete in an expanded form: a) = b) =... m +... H th +...T th +...th +... h +... t +... u c) = d) = ) Complete in a compact form = write in digits a)... = b)... = c)... = d)... = 6 Tm + 7m + 3 H th + 7 H m + 6 T + 1 9

10 Exercise (6) 1)Complete each of the following : a) = b)...= c) =... ml +... m +... ths +... d) =... Tm +... m +... h +... t +... u. e)...= 37 millions, 150 thousands, )Write the place value of the underlined digit : a) =... b) =... c) =... 10

11 More exercise to solve 3) Write the value of the underlined digit : a) =... b) =... c) =... d) =... 4) Write the following in letters : a) b) ) Write the following in digits : a) Eight milliard, two hundred twenty million and sixteen (..) b) Fifteen million and five thousand (.) 11

12 Exercise (7) 1)Complete the following : a) 8 tens =... b) 350 x 10 =... c) 18 hundreds =... d) 90 thousands =... e) 150 x 1000 =... f)... tens = g) x 100 =... h) =... thousands. i) thousands =... millions. j) 340 millions =... thousands. k)600 T th =... m =...th. l) th =... m =...T m. 12

13 2) Choose the correct answer: 1) 90 hundreds =.. a) b) c) d) 900 2) 17 tens =.. a) b) 170 c) d) ) 45 thousands =. a) b) 450 c) d) ) 23 X 100 =. a) b) c) 230 d) ) 920 X 1000 =. a) b) c) d) ) = hundreds. a) b) 830 c) d) ) =...thousands. a) 150 b) c) 15 d) ) hundreds =..ten thousands. a) b) 70 c) 700 d) ) 250 millions =.thousands. a) b) c) d) ) thousands = millions. a) b) c) 80 d)

14 Compare by putting >, < or = a) b) c) d) e) f) g) h) i) 45 hundreds 45 thousands. j) 200 millions 2 milliards. k) 48 ten hundreds 480 ten thousands. l)

15 Arrange the following numbers 1) Arrange in an ascending order : a) , , , The order is :...,...,...,... b) , , , The order is :...,...,...,... c) 18 millions, 18 thousands, tens, 18 hundreds. The order is :...,...,...,... 2)Arrange in a descending order : a) , , , The order is :...,...,...,... b) , , , The order is :...,...,...,... c) 20 thousands, 200 tens, 2 hundred thousands, 2 million. The order is :...,...,...,... 15

16 1) Write the greatest & the smallest numbers in each : a) 6, 2, 8, 5, 1, 7 I will help you in forming numbers Greatest. Smallest b) 5, 0, 8, 3, 7, 2 Greatest. Smallest c) 9, 3, 7, 2, 4, 8, 5 Greatest Smallest 2) Complete each of the following : a) The smallest 7-digits number is... b) The greatest 8-digits number is... c) The smallest number formed from 7 different digits is... d) The greatest number formed from 8 different digits is... e) The smallest 9-digit number is... f) The greatest 9-digit number is... g) The smallest odd number formed from 7 digits is... 16

17 More exercise to solve Choose the correct answer : 1) 6 milliard, 47 million and 257 = a) b) c) ) 3000 millions =. a) b) c) ) One milliard is the smallest number formed from. digits a) 7 b) 10 c) 9 d) 12 4) The greatest 10-digit number formed from the digits from 0 to 9 is. a) b) c) ) Which number is closest to one million a) b) c)

18 Add and subtract 1) Choose the correct answer: 1) =... a) b) c) ) =... a) b) c) ) =. a) b) c) ) =. a) b) c)

19 Can you find the missing numbers Choose the correct answer: a) = ( , , ) b) = ( , , ) c) = ( , , ) d) = ( , , ) e) = ( , , ) f) = ( , , ) 19

20 General exercise 1) Put >, < or = : a) million b) ten million c) the greatest 7-digit number d) the smallest 7 different digit no. 2) Choose the correct answer : 1) 235 million, 180 thousand and 65 =... a) b) c) ) The value of the digit 7 in the no is... a) b) c) ) The smallest 8 different digits number is... a) b) c)

21 4) =. a) b) c) ) The place value of 8 in is... a) million b) hundred thousand c) ten thousand 3 ) Arrange in a descending order : , , and 2 millions. The order is :...,...,...,... 4) Find : The greatest and the smallest numbers can be formed from all of the following digits [ 7, 2, 8, 3, 5, 9 and 4 ] Then find : their sum and the difference between the two numbers.. 21

22 Can you solve this 1) Complete in the same pattern : a) 4 500, 4 600,...,...,... b) , ,...,...,... c) , ,...,...,... d) , ,...,...,... 2) Calculate each of the following : a) The difference between and b) Take away from c) A number if added to it the result will be 1 million

23 d) A number if added to the sum will be e) A number if it is subtracted from million the difference will be f) = g) =

24 Wow story problems Read and solve each of the following : a) A merchant has L. E., he bought a piece of land for L.E. How much money was left with him?.... b) Shady bought a red car for L.E and his brother Kareem bought a blue car that costs L.E. How much money did they both pay?..... c) Sarah travelled Km by a plane, she also travelled Km by a train.how many Km did she travel all this trip?... 24

25 d) A merchant bought pens. He sold of them.find the number of pens he has now.... e) A factory produced toys in one year. The next year, the factory produced toys. Find the difference between the productions in both years..... f) The number of population in one city is people and in another city is people, how many people live in the two cities? 25

26 The relation between two straight lines Remember the types of lines : Straight Line Ray Line Segment No start & no end 1 Start & no end 1 start & 1 end Remember the types of angles : Acute angle Right angle Obtuse angle Straight angle Between Exactly Between Exactly 0 & & This year we are going to study the relation between any two straight lines whether they are going to meet at a point or they are never going to meet. Learn these new words : Intersect : meet at a point. Point of intersection : The point where any two lines meet 26

27 Relation between two straight lines : A. Intersecting and perpendicular ( ) lines : C 1. Point of intersection is N AB CD. A B 3. 4 angles. 4. Each angle is right angle ( 90 ). D B. Intersecting and not perpendicular lines : 1. Point of intersection is M. X 2. XY intersect ZL. Z L 3. 4 angles ( no right angles ). M 4. 2 acute angles & 2 obtuse angles. Y C. Parallel lines ( // ) : D S 1. No point of intersection. 2. DE // ST. 3. Never intersect. 4. No angles. E O 27

28 Can you solve this? 1)Write intersecting &not, perpendicular or parallel : )Use the figure to complete using ( ) or ( // ) : a) AB DE A F B b) CF DE c) CD FA d) CE CF D C E 3) Use the figure to complete : a) AB //.. b) AB.at point A A B c) AD // M D C d) AD at point D e) AC intersects. at point 28

29 4) Choose the correct answer : a) Any two straight lines that never intersect are called. ( perpendicular, parallel, intersecting and not perpendicular ) b) Any two lines that intersect at a point and make four right angles are called. ( parallel, intersecting and not perpendicular, perpendicular ) c) The two intersecting lines intersect at. ( one point, two points, zero points ) d)the two parallel lines intersect at.. ( two points, zero point, one point ) e) The two intersecting lines make.. angles. ( 2, 4, 5 ) f) If one angle at the intersecting point of the two lines is right angle then the two lines are called ( parallel, perpendicular, intersecting and not perpendicular ) g)the two perpendicular lines form 4.. angles. ( acute, obtuse, right ) 29

30 Try to draw 1)Draw the perpendicular NZ on the given straight line XY, then complete : m ( XNZ ) = m (... ) =... 2)Draw a O, then complete : from the point M on DC to intersect it at point m ( MOC ) = m (... ) =... 3)Draw a straight line parallel to AB the point L. and passing through 4) In the figure shown : 1) Draw CD AB at point M. 2) Find measure of angle AMC. 30

31 5) Using the figure opposite,then complete : AB AB XY... BC ( or // )... YZ ( or // )... BC ( or // ) AY intersects with BZ at the point... YC intersects with BX at the point... 6) Choose the correct answer : AB AE BC.(DC.( BD // ( CD, AD, AB, AE, XY ), BC ), AD ) DC // ( AE, AB, XY ) 7) Using the opposite figure,then complete: AF //.. AD.. or. AB //. CE AE. intersects CE at the point 31

32 Can you solve this 1) Choose the correct answer : 1) The place value of the digit 7 in is. a) hundred b) thousand c) ten thousand 2) =... a) b) c) ) , ,... a) b) c) ) The two lines form... right angles. a) 4 b) 3 c) 2 5) The two lines which cannot intersect are called... a) perpendicular b) parallel c) intersecting but not perpendicular 6) The smallest 10-digit number is... a) million b) milliard c) ten thousand 32

33 7) = a) b) c) ) 3 m th + 5 h + 9 u =... a) b) c) )Put ( > ), ( < ) or ( = ): a) b) The smallest 7-digits One million. c) d) The measure of an acute angle Obtuse angle. 3) Arrange in an ascending order : , , and The order is...,...,...,... 33

34 4)Using the figure opposite,then complete : AB BC AD... DC ( or // )... DE ( or // )... BC ( or // ) AD intersects with DC at the point... DE intersects BC with at the point... Well done 34

35 Multiplication 1)Find the product of each of the following : X 4.. 2) Choose the correct answer: a) X 6 =.. ( , , ) a) X 4 = ( , , ) b) X 3 =. ( , , ) c) X 30 =... ( , , ) d) X 20 = ( , , ) 35

36 1)Find the product of each of the following : a) X 26 = 1) Start from the unit 2) Cross the carry up Multiplying by a 2-digit number 3) Multiply the ten digit 4) Put zero under the unit 5) Then add b) 357 X 50 =.. c) x 24 = 36

37 2) Choose the correct answer : 1) 75 X 23 = a) b) c) d) ) 58 X 22 = a) b) c) d) ) 116 X 12 =.. a) b) c) d) ) 228 X 24 =... a) b) c) d)

38 Can you help me to solve this story Read and solve the following : a) Mohamed saves P.T monthly. How much money he saves in 9 months?... b) A theatre has 45 rows each consists of 38 seats. How many seats are there in this theatre?... c) A man bought 67 lamps for 88 P.T for each. What is the total price of the lamp?... 38

39 d) In each sack there are 124 apples. How many apples are there in 45 sacks?... e) A man bought 98 meters of cloth for 45 L.E per meter. Find the total cost?... f) If a packet of paper contains 98 papers. How many papers are there in 509 packets?... g) Weal read 9 books of 540 pages each, how many pages did he read?.... h) A school has 19 classes of 45 pupils each, find the number of pupils in this school

40 e.g. : The multiple of a number means to add this number each time to the answer starting from ZERO. - Multiples of 1 = 0, 1, 2, 3, 4, 5,... ( +1 each time ) - Multiples of 2 = 0, 2, 4, 6, 8, 10,... ( +2 each time ) - Multiples of 3 = 0, 3, 6, 9, 12, 15,... ( +3 each time ) - Multiples of 4 = 0, 4, 8, 12, 16, 20,... ( +4 each time ) - Multiples of 5 = 0, 5, 10, 15, 20, 25,... ( +5 each time ) - Multiples of 10 = 0, 10, 20, 30, 40, 50,... (+10 each time) If 6 x 4 = 24 we can say 24 is a multiple of 4 & a multiple of 6. Remarks : ZERO is the common multiple of all numbers. Any number is a multiple of itself. All EVEN numbers with units digit 0, 2, 4, 6, 8 are multiples of 2. Numbers with units digit 0 or 5 are multiples of 5. Numbers with units digit 0 are multiples of 10. Any number is a multiple of 2 & 3 is a multiple of 6. Any number is a multiple of 2 & 5 is a multiple of 10. Any number is a multiple of 3 & 5 is a multiple of

41 Can we solve this together? 1) Write : a) All multiples of 2 between 17 and b) All multiples of 10 less than c) All multiples of 8 less than d) All multiples of 3 between 10 and 20. e) All multiples of 5 between 14 and 44. f) All multiples of 2 that are less than 10. 2) Choose the correct answer : a) The number.... is a multiple of all numbers. ( 0, 1, 2, 3 ) b) The number.... is a multiple of 9. ( 19, 40, 50, 18 ) c) The number 35 is a multiple of ( 3, 2, 4, 7 ) d) The number is a multiple of both 3 and 5. (12,18, 24, 30 ) 41

42 More multiples 3)Circle : a) The multiples of 2 in : [ 17, 12, 36, 23, 60, 15] b) The multiples of 3 in : [ 23, 18, 40, 15, 17, 27] c) The multiples of 5 in : [21, 30, 44, 48, 95,115] d) The multiples of 11 in : [29, 33, 69, 77, 99, 96] 4) Answer the following: a)ahmed has an amount of money between 40 and 50 pounds, that is a multiple of 5. How much is this amount?... b)if the no. of the students in a class lies between 20 & 30 is a multiple of 2 & 3.Find the no. of the students. which c)sally has an amount of sweets between 10 and 20 sweets, that is a multiple of 3 and 5. How many sweets does she have?.. 42

43 5) Find the common multiple between 2 and 4 less than 14 : 2 0, 2, 4, 6, 8, 10, , _, 4, _, 8,, 12 The common multiples are ( 4, 8, 12 ) 6) Find the common multiple between 5 and 10 less than 40 : ) Find the common multiple between 4and 8 less than 35:

44 Polygon The Polygon: It is a group of closed lines formed from three or more line segments. The Vertex : It is the point of intersection of any two adjacent sides. The Diagonal : It is the line segment that joins any two non-consecutive vertices. In any polygon : No. of sides = No. of angles = No. of vertices 44

45 Polygon Triangle No. of sides No. of vertices No. of angles Quadrilateral Pentagon Hexagon Heptagon Octagon

46 1)Complete: More polygons 1) A group of closed lines formed from three or more line segments is called.. 2) The vertex of the polygon is the....of any two adjacent sides. 3) The line segment that joins any two non-consecutive vertices is called 4) Numbers of sides of polygon = number of its and number of its... 5) The triangle has sides. 6) The 4- sided polygon is called... 46

47 7) The hexagon is a polygon with..sides. 8) The pentagon is a.... sided polygon. 9) The... is a polygon which has 8 sides. 10) The polygon which has 7 sides is called )Choose the correct answer: a) The polygon which has four sides is called a. ( hexagon, pentagon, quadrilateral ) b) The hexagon is a polygon with.. sides. ( 5, 6, 4 ) c) The number of vertices of the pentagon =.. ( 5, 7, 3 ) d) The polygon which has 7 sides is called a. ( octagon, heptagon, hexagon ) 47

48 Polygons having 4 sides, 4 vertices & 4 angles : The Square The Rectangle - 4 equal sides. - 4 right angles. - 2 diagonals. - The 2 diagonals are equal, bisect each other and. The Rhombus - Each 2 opposite sides are equal. - 4 right angles. - 2 diagonals. - The 2 diagonals are equal, bisect each other and not. The Parallelogram - 4 equal sides. - No right angles. - 2 diagonals. - The 2 diagonals are not equal, but bisect each other and. - Each 2 opposite sides are equal and parallel. - No right angles. - 2 diagonals. - The 2 diagonals are not equal, not but bisect each other. The Trapezium It has only 2 opposite sides parallel and not equal. 48

49 Answer the following 1)Write the name of each polygon : ) Complete : a) In the parallelogram each two opposite sides are..... and..... b) In the rhombus the four sides are and the four angles are... c) In the square each angle is a... angle. d) Any quadrilateral has... diagonals. e) The trapezium has only 2 sides are... and not..... f) The 2 diagonals of the rhombus are... and not... g) The 2 diagonals of the rectangle are... and not

50 3)Choose the correct answer: 1)The measure of any angle of a square equals. a) 45 b) 90 c)150 2)Number of sides of any polygon does not equal number of its. a) diagonal b) angles c) vertices 3)The two diagonals are perpendicular in a) square and rhombus. b) parallelogram and rectangle. c) square and rectangle. 4) The two diagonals in.. and.. are equal in length. a) square and parallelogram. b) square and rhombus. c) rectangle and square. 50

51 1] Choose the correct answer : 1) The number 3 milliard, 45 million, 473 thousand is written as.. a) b) c) ) The diagonals are equal in length in and a) rectangle rhombus b) square rectangle c) square rhombus 3) The place value of digit 5 in the is. a) milliard b) ten thousand c) million 4) The smallest number formed from 7digits from the digits 5,8,4,7,0,2,3 is a) b) c) ) The milliard is the smallest number formed from.digits. a) 10 b) 9 c) 7 6) The two straight lines that never intersect is called. a) parallel b) perpendicular c) intersecting but not 7)Ten million, five hundred seventy two thousand = a) b) c) )The geometric figure which its four sides are equal in length is called.. a) trapezium b) parallelogram c) rhombus 51

52 9) =.. a) b) c) ) = a) b) c) ) 436 x 52 = a) b) c) ) The smallest different 8- digit number is a) b) c)

53 2] Put <, > or = : a) 3 milliards b) c) 3 x x 2. d) 75 thousand 750 hundred. 3] a) Find the greatest and smallest number formed from 6 digits using the following digits : 7, 0, 2,5, 9, 4 Then calculate the difference between them.. b)sarah bought 24 meters of cloth for L.E 64 each, Find the total price that she paid?.. 53

54 8 4 = 2 Dividend Divisor Quotient 54

55 1) Find the quotient ( result of division) a) =.. b) =.. c) =.. d) = 55

56 2) Choose the correct answer : a) =.. ( 234, 329, 229 ) b) = ( 121, 1021, 1210 ) c) =.. ( 631, 618, 531 ) 56

57 Find the quotient a) =.. b) =.. 57

58 2) Choose the correct answer : a) =. ( 304, 301, 340 ) b) =.. ( 204, 205, 240 ) c) =.. ( 440, 450, 404 ) 58

59 More and more division 1) Choose the correct answer : a) =.. ( 320, 302, 402 ) b) =.. ( 211, 210, 201 ) c) =.. ( 2 005, 2 400, ) 59

60 2) Put the sign ( > ), ( < ), ( = ) : a) X 10 b) X 42 c) d)

61 Word problems a) A farmer bought 15 Fadden for 1950 pounds, what is the price of each Fadden?.... b) A hotel has168 rooms, divided equally among a number of floors, each floor has 12 rooms. How many floors are there in the hotel? c) Sarah saved L.E 2065 in 5 months, calculate how much money She saved in each month? 61

62 d) If 756 pupils in a school are distributed equally among 18 classes, find the number of pupils in each class? e) A runner covers 7380 meters in 6 hours, calculate how long he covers in one hour?.... f) Ahmed bought a TV set for L.E 1 660, he paid L.E 340 and the rest was divided on 24 equal instalments, find the value of each instalment?.. 62

63 Any number is divisible by another if the remainder of the division is ZERO = 10 & R= 0 Then, 30 is divisible by 3 and by 10 because, 30 is a multiple of 3 and a multiple = 7 & R= 2 Then, 30 is not divisible by 4 nor by 7 because, 30 is not a multiple of 4 nor a multiple of 7. Remarks : Any number is divisible by itself. All the multiples of any number are divisible by this number. All EVEN numbers are divisible by 2. Numbers with units digit 0 or 5 are divisible by 5. Numbers with units digit 0 are divisible by 10. A number is divisible by 3 if the Sum of its digits is divisible by 3. 63

64 Answer the following 1) Choose the correct answer : a) All the multiples of 5 is divisible by ( 2, 5, 10 ) b) 40 is not divisible by... ( 4, 3, 8 ) c) 23 5 = 4, r =3 then 23 is by 5. (divisible, not divisible) d) 35 is divisible by both ( 2&5, 3& 5, 5&7 ) 2)Complete : a) 42 is divisible by 6 because 42 is a...of 6. b) 3 x 5 =...then it is divisible by both of...and... c) 2 x 7 =...then it is a multiple both of...and... d) 25 and 30 are divisible by... 3)Match : a) 12 is divisible by 2 & 5 b) 40 is divisible by 11 & 5 c) 55 is divisible by 3 & 2 64

65 4)Use these numbers to complete the following : 24, 15, 18, 50, 12, 40, 32 a) Numbers are divisible by 3 are :.... b) Numbers are divisible by 4 are :.... 5)Choose the correct answer: a) The number is said to be divisible by 3 if the sum of its digits is divisible by.. ( 2, 3, 5 ) b) 42 is divisible by ( 2, 5, 4 ) c) 75 is divisible by ( 4, 2, 5 ) d) is divisible by.. ( 6, 3, 5 ) 6) Circle the numbers which are : a) Divisible by 2 ( 15, 18, 102, ) b) Divisible by 3 ( 33, 1 256, 732, ) c) Divisible by 5 ( 125, 3 123, 1 460, 330 ) d) Divisible by 2, 3 and 5 ( 165, 600, 630, 735 ) 65

66 A B It is a polygon having 3 sides, 3 vertices & 3 angles. m ( A ) + m ( B ) + m ( C ) = 180. C The sum of the measures of the interior angles of any triangle = 180. Types Of Triangles a)according to the measure of ANGLES : Right-angled Acute-angled Obtuse-angled X A D Y Z B C E F It has one right angle and 2 acute angles. Remarks : The three angles are acute angles. It has one obtuse angle and 2 acute angles. Any triangle has at least two acute angles. In the right-angled, the sum of the two acute angles is

67 b) According to the length of SIDES : Equilateral Isosceles Scalene A X D B C Y Z E F - 3 sides are equal in length. AB = BC = CA - 3 angles are equal in measure. - each angle = sides are equal in length. XY = XZ - 2 angles are equal in measure. m Y ) = m ( Z ) - 3 sides are different in length. AB BC CA - 3 angles are different in measure. Remarks : In any the sum of the length of any two sides is greater than the length of the third side We can draw a triangle if : given the lengths of 2 sides and measure of 1 angle OR given the measures of 2 angles and the length of 1 side 67

68 Find the measure of the third angle of each of the following triangles: m ( < C ) =. m ( < M ) =. m ( < T ) =. m ( < Q ) =. m ( < D ) =. m ( < K ) =. 68

69 1) Complete a) The triangle is a...that has...sides and...angles. b) In any triangle the sum of its angles =... c) Any triangle there are at least two...angles. d) In the right angled, the sum of the 2 acute angles =... e) We can draw the triangle given...or f) When the three sides of the triangle are equal in length it is called an.... triangle. g) The triangle whose sides length are 5cm, 5cm and 8cm is a/an.... triangle. h) If one angle of a triangle is an obtuse angle then it is called a/an.... triangle. i) The with angles 70,20 and 90 is called.... j) In ABC, if m( A) = m( B)=50, then m( C) =... k) In XYZ, if m( X )= m( Y )= m( Z ) then its type is.... l) The obtuse angled triangle has... acute angles. m) The whose sides are 3 cm,4 cm and 5 cm is

70 2) Choose the correct answer : 1) m( E) = 30, m( F) = 40 and m( G) = 110, then this is (a-an) angled triangle. a) Right b) obtuse c) acute 2) m( S) = 51, m( T) = 67 and m(u) = 62, then this is (a-an) angled triangle. a) Right b) obtuse c) acute 3) If AB = 6c.m, BC = 7c.m and CA = 6c.m, then this is (a-an). triangle. a) Equilateral b) isosceles c) scalene 4) If XY = 4c.m,YZ = 8c.m and ZX = 5c.m, then this is (a-an).. triangle. a)scalene b) isosceles c) equilateral 5) If NO = 3c.m, OR = 3c.m and RN = 3c.m, then this is (a-an) triangle. a) Isosceles b) equilateral c) scalene 70

71 Draw a) The triangle XYZ in which ZX = 10c.m, m( Z)= 60 and m( X) = 30, then find the length of YZ and the type of the triangle according to the lengths of its sides. b)the LMN in which LM = 6cm and m( L) = m( M) =45. Find: a) The length of NL and NM. b) Without using the protractor m( N). c)the type of the triangle according to the measures of its angles and the lengths of its sides. 71

72 2 x 3 = 6 Factor Factor Product To Find the factors of 6 : 1 X 6 2 X 3 then, 6 has 4 factors which are ( 1, 2, 3, 6 ) To Find the factors of 16 : 1 X 16 2 X 8 4 X 4 then, 16 has 5 factors which are ( 1, 2, 4, 8, 16 ) don t repeat 4 Remarks : One is a factor of all numbers. Each number is a factor of itself. The largest factor of any number is the number itself. One is the only number that has one factor. The numbers that have only 3 factors are 4, 9,

73 Answer the following 1) Find the factors of each of the following : a) 4... b) 7... c) d) e)

74 2) Put ( ) or (x) : a) 3 is factor of 72 ( ) b) 2 is factor of 34 ( ) c) 3, 2 are factors of 32 ( ) d) 18 has 6 factors ( ) 3) Find the factors of each of the following : a) 6... b) 5... c) d)

75 3) Choose the correct answer : a) 5 is a factor of. ( 54, 50, 53 ) b) 3 is a factor of. ( 53, 163, 354 ) c) 2 is a factor of. ( 21, 201, 210 ) d) 2 and 5 are the factors of ( 601, 610, 106 ) e) 2 and 3 are the factors of ( 124, 224, 126 ) f) The number 11 has factors. ( 2, 3, 5 ) g) The number 12 has factors. ( 6, 9, 8 ) h).. is a factor of all numbers. ( 0, 1, 2 ) i) is a factor of 20 ( 5, 8, 40 ) j). Is a factor of 9 ( 0, 3, 18 ) 4) Write: a) Four numbers that have only 3 factors... b)the two 1-digit numbers which have 3 factors... 75

76 5) Find the common factor between 6 and 8 : The factors of 6: 1 X 6 The factors of 8: 1 X 8 2 X 4 2 x 3 The factors of 6 are ( 1, 2, 3, 6 ) The factors of 8 are ( 1, 2, _, _, 4, 8 ) The common factor is ( 2 ) 6) Find the common factor between 6 and 12 :

77 Factors of : 2 = 1 x 2, 3 = 1 x 3, 5 = 1 x 5, 7 = 1 x 7 Ex : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, etc. are called ʺPrime Numbersʺ. Remarks : Prime number has 2 factors only ( 1 and the number itself ). Zero is not prime number because all numbers are factors of it One is not prime number because it has 1 factor only. 2 is the smallest prime number. 2 is the only even prime number. All prime numbers are odd except 2. 3 is the smallest odd prime number. The only prime number between 90 and 100 is 97. Not all odd numbers are prime (ex. 9, 15, 21, ) 77

78 Can you solve this? 1) Complete : a) The smallest prime number is... b) One is not a prime number because... c) The only even prime number is..... d)... is a number that has only one factor. e)...,..., are numbers that each of them has 3 factors. f) All prime numbers are...except... 2) Put ( ) or (x): a) Zero is a prime number. ( ) b) All prime numbers are even numbers. ( ) c) 2 is the only even prime number. ( ) d) All prime numbers are odd numbers. ( ) e) 97 is only the prime number between 90 and 100. ( ) f) 1 is the smallest prime number. ( ) 78

79 3)Write : a) The prime numbers less than b) Write all non-prime numbers between 5 and )Choose the correct answer : a).. is a prime number. ( 16, 11, 21 ) b) The smallest prime number is ( 0, 1, 2 ) c) The smallest odd prime number is. ( 1, 2, 3 ) d) The prime number between 20 and 25 is.. ( 21, 23, 24 ) e).is not a prime number. ( 1, 3, 5 ) f) The number 108 is divisible by the two prime numbers 3 and. ( 9, 7, 2 ) 79

80 1)Factorize each number to its prime numbers : a) 12 2 b) 16 c) = 2 x 2 x 3 16 = =... d) 21 e) 25 f) = = =. 80

81 Factorize 12 and 16, then find their H.C.F and L.C.M = 2 x 2 x 3 16 = 2 x 2 x _ x 2 x 2 H.C.F = 2 x 2 = 4. L.C.M = 2 x 2 x 3 x 2 x 2 = 48 1) Find the H.C.F and the L.C.M. a) 6 8 b) =... 8 =... 8 =... 12=... H.C.F =... H.C.F =... L.C.M =... L.C.M = 81

82 c) d) = = = =... H.C.F =... H.C.F =... L.C.M =... L.C.M =... e) 6 12 f) = = = =... H.C.F =... H.C.F =... L.C.M =.. L.C.M =... 82

83 1) Complete: a) The quadrilateral whose 4 sides are equal in length and it has 4 right angles is called... b) All the... of the square are equal in measure. c) The measure of each angle of the square =..... d) The diagonals of the square are...,... and... e) All the... of the square are equal in length. f) In the square all angles are...angles. 2) Draw : A square ABCD in which AB = 4 cm. 83

84 A) The Perimeter of any polygon equals the sum of its sides length. Since, The Square has 4 equal sides then its perimeter = S + S + S + S Therefore, We can deduce the following Rule : Perimeter of the square = Side x 4 P = S x 4 B ) The Area of any geometrical figure is the no. of equal parts forming that figure. Area of the square = Side x Side A = S x S 84

85 1) Find: Can you solve this a) The perimeter of a square whose side length is 6 cm.... b) The perimeter of a square whose side length is 4 cm.... c) The area of a square whose side length is 8 cm.... d) The area of a square whose side length is 5 c.m. 2) Choose the correct answer : a) The perimeter of a square whose side length is 5 is. ( 25, 20, 24 ) b) The perimeter of a square whose side length is 7 is. ( 28, 30, 24 ) c) The area of a square whose side length is 3 cm.. ( 12, 9, 4 ) d) The area of a square whose side length is 8 cm.. 85 ( 32, 64, 24 )

86 3)Find the perimeter and the area of each of the following : a) A square whose side length is 2 cm. Perimeter =. Area = b) A square whose side length is 5 cm. Perimeter =. Area = c) A square whose side length is 6 cm. Perimeter =. Area = d) A square of side length 3 cm. Perimeter =. Area = 86

87 I can help you to draw a rectangle 1) Complete : a) In the rectangle the diagonals are.. in length. b) All the...of the rectangle are equal in measure. c) The measure of each angle of the rectangle =.....º d) The diagonals of the rectangle are....,... and... e) In the rectangle, all angles are...angles. 2) Draw : A rectangle XYZL with length 6 cm and width 4 cm. Then join XZ and YL. 87

88 A ) The Perimeter of any polygon equals the sum of its sides length. Since, The Rectangle has 2 equal lengths ( L ) and 2 equal widths ( W ) then its perimeter = L + W + L + W Therefore, We can deduce the following Rule : Perimeter = (L + W) x 2 B ) The Area of any geometrical figure is the no. of equal parts forming that figure. Area = L x W 88

89 1)Find the perimeter and the area of each of the following : a) A rectangle whose length 5cm and width 2cm. Perimeter =. Area = b) A rectangle with dimension 6cm and 4 cm. Perimeter =. Area = c) A rectangle whose length 5 cm and width 3 cm. Perimeter =. Area = d) A rectangle with dimension 3 cm and 7cm. Perimeter =. Area = 89

90 1) Which is greater the area of a square with side length 5 cm or a rectangle with dimensions 4 cm and 6 cm. 2) Which is greater the perimeter of a rectangle with dimensions 7 cm and 3 c.m or a square with side length 4 cm 3) Find the area of the shaded part in the given figure: The area of the rectangle = The area of the square= The area of the shaded part = 90

91 1) Which is greater the area of a square with side length 6 c.m or a rectangle with dimensions 6 c.m and 5 c.m. 2) Which is greater the perimeter of a rectangle with dimensions 4 cm and 2 cm or a square with side length 3 cm 3) Find the area of the shaded part in the given figure: The area of the rectangle =. The area of the square=. The area of the shaded part = 91

92 1) Complete : a) 4 dm =... cm =... mm. b)... dm = 20 cm =... mm. c) 4 km =... m =... dm. d) 6 m =... cm =... dm. e) 8cm =... mm. f) 45 km =... m =... cm. g) 25 dm =... cm =... mm. h) 450 cm =... dm. i) 2300 m =... dm. j) 8 km =... m =...dm 92

93 2) Complete: a) 5 km =.. m b) 700 mm = dm c) 90 m =.. cm d) 450 cm =.. dm e) 87 dm =. mm f) m =.. km g) 3 m = dm =. cm h). Km = 1000 m =. Cm i) dm =. Km 93

94 2) Choose 1) 5 m =.cm a) b) 500 c) d) ) 6 m = dm a) 60 b) 600 c) d) ) 9 m = mm a) 900 b) c) d) 90 4). Km = m a) 400 b) 4 c) d) ) dm =.. km a) 8 b) 800 c) 80 d) ) 4 km =.cm a) b) c) d) 40 7) mm = 50 dm a) b) 500 c) 5 d)

95 Exam (1) 1)Choose the correct answer : 1)The smallest prime number is.. a) 0 b) 1 c) 2 d) 3 2) The numbers 3, 5, 7 and 9 is called number a) even b) prime c) odd d) common 3) The number. Is divisible by each of 2 and 5 a) 72 b) 100 c) 25 d) 28 4) The quadrilateral whose four sides are equal in length is. a) trapezium b) rectangle c) rhombus d) parallelogram 5) If 756 pupils in a school are distributed equally among 18 classes Find the number of each class by.. a) Addition b) division c) multiplication d) subtraction 6) The smallest number formed from 8 digits is a) b) c)

96 7) If the measure of the angles of the triangle are 60, 40 and 80, then the triangle is angled a) Right b) obtuse c) acute d) straight 8) 2 dm = cm a) 2 b) 200 c) 20 d) ) =.. a) 23 b) 32 c) 24 d) 25 10) The common factor of all numbers is a) 1 b) 0 c) 2 d) 3 11) H.C.F of 12 and 18 is.. a) 12 b) 6 c) 36 d) 2 12) =. a) 32 b) 34 c) 42 d) 24 96

97 13) The perimeter of a square of side length 5 cm is..cm a) 20 b) 25 c) 10 d) 23 14). Is a common factor of all numbers a) 0 b) 1 c) 2 d) 3 15) 8 Km = m a) 80 b) 800 c) d) ) The triangle whose side lengths are 3cm,7cm and 5cm is... triangle. a) Scalene b) equilateral c) isosceles d) acute 17) The rectangle whose dimensions are 7cm and 3cm, then its perimeter is cm a) 7 b) 17 c) 20 d) 15 18) The L.C.M of 6 and 9 is. a) 15 b) 12 c) 27 d) 18 97

98 19) 288 x a) > b) = c) d) > 20) Number of vertices in the hexagon is a) 5 b) 6 c) 7 21) The diagonals of rectangle are and not.. a) equal perpendicular b) perpendicular equal 22) The place value of the digit 8 in the number is a) million b) ten c) hundred 23) a) > b) < c) = 24) The polygon that has 5 sides is called. a) octagon b)hexagon c) pentagon 25) = a) b) c) ) Complete: a) All factors of 12 are.,..,,, and b) The L.C.M of the numbers 8 and 12 is 98

99 c).. is a common factor of all numbers. d) The number is divisible by 5 if its unit digit is or e) The area of the square whose side length is 6 cm =. 3) a) Draw XYZ in which XY = 5cm, m( X) = 45 and m( Y) = 45, Then 1) find m( Z) 2)The type of the triangle according to the measures of its angles? b) A hotel contains 192 rooms divided equally by a number of floors, each floor contains 16 room. How many floors are there in this hotel?

100 4]Use the opposite figure, then complete : AB AB XY... BC ( or // )... YZ ( or // )... BC ( or // ) AY intersects with BZ at the point... YC intersects with BX at the point