Name :. Class :.. Homework Rubric : ( 10 marks )
|
|
- Lorena Garrett
- 5 years ago
- Views:
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 Approximation QR code Adding, subtracting, Multiplying and Dividing decimals Multiplying by 10, 100, 1000 Multiplying fractions Comparing fractions Dividing fractions The Triangles The circle 2
3 Measuring units : 1) Measuring length : 2) Measuring area: 3) Measuring weight: 4) Measuring currency: 5) Measuring Time: 6) Capacity: 3
4 Perimeter and area: 1) Perimeter of a square = side length 4 2) Area of a square = side length itself 3) Perimeter of a rectangle = (length + width) 2 4 ) Area of a rectangle = length width Remember (Adding & Subtracting Decimals) A) =.. B) =.. Steps : 1- put the decimal points under each other 2- put zero in the empty space 3- start the addition or the subtraction from the right 4
5 Place value ` Multiples If 6 x 4 = 24 we can say 24 is a multiple of 4 & a multiple of 6. 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. Divisibility 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. 5
6 Factors 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 One is a factor of all numbers. Each number is a factor of itself. All numbers are factors of Zero except Zero. 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, Prime numbers 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. Prime number has 2 factors only ( 1 and the number itself ). Zero is not a prime number because all numbers are factors of it. One is not a prime number because it has 1 factor only. 6
7 A- Approximate to the nearest hundredths and thousandths 1) (to the nearest hundredths) 2) (to the nearest ) 3) ( to the nearest thousandths ) 4) ( two decimal places) 5) (to the nearest 0.01) 6) ( to the nearest thousandths) 7) (to the nearest 0.001) B. Find the result of the following: 1) = (to the nearest hundredth) 2) = (to the nearest ) 3) = (to the nearest thousandth) 4) = (to the nearest 0.001) 7
8 A. Write the greatest & the smallest decimal fraction formed from 4, 2, 9, 7 The greatest is The smallest is... B. Choose : to the nearest.. a) Tenths b) Hundredths c) Thousandths d) Units to the nearest.. a) Tenths b) Hundredths c) Thousandths d) Units to the nearest.. a) units b) Hundredths c) Thousandths d) Tens to the nearest. a) Tenths b) Hundredths c) Thousandths d) Units to the nearest.. a) Tenths b) Hundredths c) Thousandths d) Units C. Given that L = & M = Find L - M approximated to the nearest thousandth... 8
9 A) Put the suitable sign ( < or > or =) 1) 2) 3) [...] 3 7 [.] 1 9 [...] 4 6 6) 6 8 [.] ) 1 [.] ) 1 3 [.] 0.5 4) 1 [..] 2 3 5) 10 5 [..] 4 6 B) Find the value of a, b and c if : 9) 2.5 [.] ) 3.5 [..] 3.05 a) 2 7 = a 21 b) b 4 = c) 3 c = a=. b=... c=.. C) Compare the following fractions: a) b) c) d) e) f)
10 D) Arrange in an ascending order: 1) 4 5, 4 7, 4 6, ) 1, 4, 8 8 3, ) 7 1 4, 1 5 8, 3 1 2, 4, ) 24 4, , ,, ) 3 2, 18, ,
11 E) Arrange in a descending order: 1) 2 5, 2, 2 7 6, ) 3 5, 1 5, 20 25, 2 5 3) 3 2, 3 5, 3 8, ) , 5, 3.5, 4.7, ) 35 5, , 3 3 5,
12 Remark Multiplying We move the decimal point to the right side Dividing We move the decimal point to the left side A. Find the result of each of the following a) x 10 = d) = b) x 100 = c) x 1000 = e) = F ) = B. Complete 1) 3.6 km. =.. m. 2) dm. = cm. 3) kg. = gm. 4) 1.08 m. = cm. 6) 34.7 cm =. meters. 7) 458 meters =.. Km 8) 940 gm =. Kg. 9) 419 kg. =... Ton 5) L.E = P.T. 10) P.T. 25 = L.E
13 C. Approximate 1) m.... cm. 4) 9.38 dm.... cm. 2) 0.58 m. dm. 5) 8.92 cm... dm. 3) km m. 6) 749 cm.. m. D. Choose: 1) x 100 = a) b) c) d) 45 2) x10 = a) b) c) d) 2.1 3) x 1000 = a) 175 b) 17.5 c) d) ) x10 = a) b) 4.20 c) 4.2 d) ) x 1000 = a) 6.7 b) 67 c) d) 670 6) 21.3 x 10 = a) 2130 b) 2.13 c) 213 d) ) x 1000 = a) 0.8 b) 0.08 c) 8 d) ) x 100 = a) b) c) d) ) = a) b) c) d)
14 10) x 1000 = a) 175 b) 17.5 c) d) ) x10 = a) b) 4.20 c) 4.2 d) ) = a) b) c) d) ) = a) b) c) d) ) = a) b) c) d) E- Find the area of the rectangle with length 3.5 cm and width 10 cm. F- Ahmed bought 100 books for L.E a book. How much did he pay? G- A piece of land of area m 2 is distributed among 1000 citizen. Find the share of each? 14
15 A. Complete each of the following : = to the nearest hundredth x 100 = = gm.... Kg cm... m P.T... L.E to the nearest hundredth to the nearest hundred. B. Write the smallest and the greatest decimal fraction. can be formed of 3, 8, 2, 9. Smallest = greatest =.. C. L = & M = 7.35 Find ( M L ) approximated to the nearest hundredth. D. The distance between two cities is m, find the distance in km approximated to the nearest
16 The Circle The circle is a closed curve, all the points on it having the same distance from a fixed point The fixed point is called the Centre of the circle We denote (name) the circle by its Centre, we say the circle M when its Centre point is M The radius of the circle ( r ): The radius is the line segment which joins any point lying on the circle to its Centre. ( all radii are equal in length ) The chord of the circle :The chord is the line segment that joins two points on the circle The diameter of the circle (d): The diameter is a line segment that passes through the Centre of the circle and joining two points on a circle. Notice that:.the diameter of the circle is the longest chord.all diameter of a circle are equal in length.the length of any diameter in a circle is equal to twice the length of its radius. The length of the diameter = (2 the length of the radius ) = ( r 2)..We can draw an infinite number of diameters in a circle. 16
17 Draw a circle M of radius length 3cm Step 1:- Mark a point M on a piece of Paper Step 2:- Open the compasses such that the distance between the metal tip and the pencil is 3 cm Step 3:- Put the metal tip M and swing the pencil around to draw closed curve that is the circle M of radius length 3 cm. 17
18 A- Choose the correct answer : 1) The diameter is the longest.. a) Radius b) chord c) center d) diagonal 2) All the diameters are..in the circle. a) Different b) equal c) approximately d) smaller than 3) The lengths of 2 radii in the same circle are. a) Different b) equal c) approximately d) smaller than 4) The diameter is a.chord in the circle a) Longest b) shortest c) equal d) approximately 5) The length of the diameter of a circle with radius 2cm is. cm. a) 6 b) 4 c) 8 d) 10 6) We name the circle by it s a) Radius b) center c) diameter d) diagonal 7) Any chord passing through the center of the circle is called a) Radius b) diameter c) center d) diagonal 8) Any line segment connects between any two points on the circle is called a) Radius b) center c) diameter d) Chord 9) the length of the radius = the length of the diameter in the same circle a) Double b) half c) triple d) quarter 18
19 B-Put ( ) or ( x): 1) The length of radius is greater than the length of diameter ( ) 2) The radius of the circle is the longest line segment can be drawn in the Circle. ( ) 3) All the radii in the same circle are different. ( ) 4) The longest chord in the circle is called diameter. ( ) 5) The diameter is twice the radius. ( ) 6) The diameter = 3r. ( ) C- From the opposite figure complete M and N are two circles. Find the length of MN. D- Choose the correct answer : 1) Any chord passing through the center of the circle is called... (radius, diameter, center ) 2)The length of the radius =... the length of the diameter in the same circle. ( double, half, triple ) 3)A circle, the length of its radius is 8 cm. then the length of the greatest chord in it =...cm. ( 4, 16, 12) 4) We can draw...of diameters in a circle. (2, 20, infinite number) 19
20 E- a) Draw the circle M with radius 4 cm. b) Draw the circle A with diameter 6 cm. c) Draw a circle M of radius length 2.5 cm, draw the diameter AB and find its length. (a) (b) (c) 20
21 How to multiply two fractions? 1) Multiply the numerators of the two fractions to get the numerator of the product. 2) Multiply the denominators of the two fractions to get the denominator of the product. 3) If we have mixed number we have to change it to improper fraction before multiplying it. 4) Put the resulting fractions in its simplest form. 21
22 A) Find the result of each of the following: a) 3 4 X 5 7 =.. b) 3 5 X 3 8 =.. c) 5 9 X 2 3 =.. d) 3 5 X 2 = e) 5 7 X 4 = f) 4 X 1 8 =.. g) X 2 3 = h) 3 5 X = i) X 2 3 =.. B) In a classroom there are 30 pupils, 2 3 of them are boys, How many boys are there in the class? C) Ahmed bought 3 4 Kg. of meat for L.E. 20 for each kg. How much money did he pay? 22
23 How to divide two fractions? To divide two fractions: Exchange the numerator and the denominator of the second fractions, then multiply it by the first fraction. A-Write the reciprocal of each of the following: a) 1 5. d) b) 3 8. e) 7 c) f)
24 B- Choose the correct answer : 1) =. a) 5 9 b) 4 9 c) d) ) = a) 6 b) 4 c) 3 d) 5 3) =.. a) 4 b) 6 c) 7 d) 8 4) =... a) 1 6 b) c) 2 3 d) ) =. a) 7 b) 9 c) 18 d) 25 6) = a) 8 b) 1 8 c) 2 d) 1 2 7) = a) 30 b) 10 3 c) 3 10 d) 18 24
25 How to multiply Decimals: 1) Ignore the decimal point in both numbers. 2) Multiply the two numbers. 3) Count the number of decimal places in both numbers and find their sum. 4) The number of decimal places in the product equals the sum you have got. A- Find the product: (with steps) a) 0.15 x b) x c) 3.7 x d) x e) 9.72 x f) 0.12 x g) 37 x h) 1.89 x i) 2.3 x
26 B- Choose the correct answer: (With steps) a x 4.3 =. a) b) c) d) b x 0.34 = a) b) c) d) c x 1.2 =. a) b) c) d) d x 2.5 =. a) 86.4 b) 87.5 c) 83.4 d) 85.4 e x 1.1 =. a) b) c) d)
27 C. Hala bought 3.5 kg of grapes each for L.E 2.25 How much money did she pay? (With steps).. D. Find the product of 2.2 and approximating the result to the nearest hundredths. (With steps)... E. Mariam went to the market. she bought 4.5 Kg of fish each for L.E 15 and 6 Kg of apples each for L.E 5.5 How many pounds did she pay? (With steps). F. A rectangular piece of land with width of 3.2 m and length of 5.8 m. Find the perimeter of the land. (With steps). 27
28 G. Find the perimeter of each of the following figures: (With steps) H. Compare the products by putting [ <, > or = ] a) 0.3 x x 0.5 b) x x 0.12 c) 7.3 x x 2.8 d) 172 x x 0.3 e) 4.2 x x
29 Revision First:- Choose the correct answer : 1) The diameter is a.chord in the circle a) Longest b) shortest c) equal d) same 2) = a) 8 b) 1 8 c) 2 d) 1 2 3) The lengths of 2 radii in the same circle are. a) Different b) equal c) approximately d) smaller than 4) = a) b) c) d) ) to the nearest. a) Tenths b) Hundredths c) Thousandths d) Units 6) Any line segment connects between the center of the circle and any point on the circle is called a) Radius b) center c) diameter d) diagonal 7) The diameter length of a circle with radius 5 cm equal.. a) 10 b) 5 c) 11 d) 7 8) x = 4578 a) 10 b) 100 c) 1000 d)
30 9) (To the nearest hundredths) a) 3.1 b) 3.12 c) 3.13 d) ) To draw a circle with diameter length 12 cm, then open the compass with length cm. a) 5 b)10 c)12 d) 6 11) 4 3 x = 1 a) 5 4 b) 1 4 c) 0.8 d) ) (to the nearest hundredth) a) 0.6 b) 0.06 c) d) 6 13) = a) 2.5 b) 0.25 c)25 d) ) The length of the diameter = a) 1 2 r b) r c) 2r d) 3r 15) to the nearest.. a) 0.1 b) 0.01 c) d) ) x x10 a) < b) > c) = d) 17) =. a) 1 4 b) 1 2 c) 3 4 d)
31 18) If 3 5 = x 20 then x =. a) 7 b)12 c) 18 d)15 19) to the nearest. a) b) c) d) 1 10 Second: - Complete the following: 1) x 4 7 =. 2) (to the nearest hundredth ) 3) If the length of the chord equal twice the length of the radius then it will called.. 4) 8 x 3 = ) =. (to the nearest tenth) 6) x 100 =. 7) 2550 cm m 8) A point inside the circle is at equal distance from any point on the circle is called 9) If the radius length equals 2.5 then its diameter length =.. 31
32 Third: - Answer the following A- Arrange the following in an ascending order: 11 12, 5 12, 3 4, 2 3 and 5 6. B- Write the greatest decimal fraction which consists of 3, 5, 4 and 2, then approximate it to the nearest hundredth and to the nearest thousandth... C- Draw the circle of center M with radius length 4 cm., draw the diameter AB, then draw the chord BC with length 6 cm.,then draw AC and find its length. 32
33 8 4 = 2 Dividend Divisor Quotient` 33
34 A-Find the quotient, and then choose: (With steps) 1) = ) = ) =
35 4) = ) = ) =
36 7) = ) =..... C- Find the quotient : (With steps) 1) =
37 2) =... 3) =... 4) =
38 5) =... 6) = ) =
39 C- A truck can carry 265 watermelons. Find the number of trips needed to transport watermelons.... D- An owner of packing food factory wanted to pack 5904 kilograms of sugar equally in 492 packs. What is the weight of each pack?
40 E. Find the number: 1. Find the number which multiplied by 324, the result will be Find the number which divided by 17, the result will be Find the number if divided by 24 the quotient is Find the number which if divided by 25 the result will be I am a number, if you multiply me by 13, the result will be 169, who am I?... 40
41 Remark: Change the divisor into a whole number by multiplying the divisor and the dividend by 10, 100, 1000, according to the number of places of the decimal part of the divisor to make the divisor a whole number. A. Find the result of each of the following: (With steps) 1) = ) =
42 3) = ) = ) =... 42
43 6) =... 7) =... B. Choose the correct answer: a) =. ( 1, 10, 0.1, 100 ) b) = ( 2.9, 29, 290, 0.29) c) =. ( 17, 1.7, 71, 1.07) 8 d) = 3.27 ( 2.4, 0.24, 24, 2004) 43
44 C. Story problems: (With steps) 1) A fruit seller had kg of oranges; he put them equally in 8 baskets. How many kilograms were there in each basket approximated to the nearest kilogram?... 2) Habiba bought 9.25 m of cloth for L.E. 92.5, Find the price of one meter of cloth?... 3) The price of one kg of oil is L.E. 3.75, Find the price of 2.5 kg. of oil
45 4) The area of rectangle is square meters, and its length is 4.1 meter. Find its width and perimeter.... 5) A train covered a distance km. in 2.75 hours. Calculate the distance it covers in one hour
46 How to find the missing number D. Complete: 1. If the divisor = 8.5 and the quotient = 0.02, then the dividend = If the dividend = and the quotient = 41.97, then the divisor =
47 3. If the divisor = 17, the quotient = 15, then the dividend = If the dividend = and the quotient = 0.07, then the divisor =
48 F- Find the result: a) (to the nearest 1 10 ).... b) 5 9 ( to the nearest hundredth)... c) ( to the nearest thousandth)
49 Complete: Answer: 49
50 A. Complete: 1) 7... to the nearest hundredth ) The divisor =... 3) 6.14 x 8.5 = to the nearest ten.. 4) The area of the square whose side length 4.2 cm is.... 5) x 1000 = to the nearest thousandth. 6) The reciprocal of is 7) Any fraction x.. = 1 8) = to the nearest tenth. 50
51 36 9) 72 = in the simplest form.. A. Arrange in a descending order : 1, , 5 6, B. Ali bought a car for L.E and he paid L.E in advance, and the rest on 24 monthly instalments. Find the value of each instalment.. 51
52 A B The triangle 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. The three angles are acute angles. It has one obtuse angle and 2 acute angles. 52
53 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. 53
54 Important remarks: We can draw a triangle if: given the lengths of its three sides Example: Draw the triangle ABC in which AB = 3 cm, BC = 6 cm and CA = 5 Step 1 :- Use the ruler to draw the line segment BC of length 6 cm Step 2 :- Open the compasses on the ruler such that the distance between the sharp point and the pencil equals 3 cm to draw AB Step 3 :- Put the sharp point fixed at B and turn the compasses to draw an arc on one side of BC as in figure 54
55 Step 4 : Put the sharp point fixed at C and reopen the compasses of distance 5 cm. to draw an arc on the same side of thefirst arc to intersect it at the point A Step 5 : Draw each of BA and CA then, the triangle ABC is the required triangle (Don t remove the arcs) 55
56 Remarks: -Any triangle has at least two acute angles. -In the right-angled triangle the sum of two acute angles is 90º -In the right -angled triangle one right angle & 2 acute angles. -In the acute-angled triangle three acute angles. -In the obtuse-angled triangle one obtuse angle & 2 acute angles. 1] Draw the Δ ABC in which AB = 6 cm, BC = 5 cm & CA = 4 cm. 2] Draw the Δ DEF in which DE = DF = 6 cm & EF = 4 cm. 56
57 3] Draw the equilateral Δ XYZ in which XY = 6 cm 4] Draw the equilateral Δ LMN whose perimeter is 9 cm. 5] Draw the Δ LMN in which LM =5 cm, MN = 8 cm & NL = 6 cm, Find the type of the triangle according to the measures of its angles and the lengths of its sides. 57
58 6] Draw a circle M with radius 3.5 cm, then draw the diameter DE, then draw the equilateral Δ DEF, then choose: a) The point F lies.. the circle. ( inside, on, outside) b) DF is..( chord, radius, otherwise ) 7] Draw the triangle ABC in which AB= 4 cm, BC = 3 cm, and CA= 5cm.Find the type of the triangle according to its side length and according to its angles. 58
59 8] Draw a circle whose diameter is 8 cm. and its center is O, AB is a diameter of this circle. Draw the triangle DAB where the chord DA=6 cm, draw DB and find its length. Then find the type of the triangle DAB according to its angles and sides. 9) From the opposite figure : a) The longest chord in the circle is b) BC is called. in the circle M 1 2 c) AM =.. 10) Three circles of centers A, B, C of radius length 4 cm for each Find the perimeter of ABC
60 Acute angled Obtuse angled Right angled AD is the altitude of the triangle ABC from the vertex A to the corresponding base BC (AD BC) Notice that:- XO is the altitude of the triangle XYZ from vertex X to the corresponding base YZ (XO YZ) LM is the altitude of the triangle LMN from vertex L to the corresponding base MN (LM MN) The acute angle have 3 altitudes intersect at one point inside the triangle The right angle have 3 altitudes intersect at the vertex of right angle The obtuse angle have 3 altitudes intersect at one point outside the triangle 60
61 1] A. Draw the equilateral Δ XYZ with side length 5 cm, then draw the Perpendicular segments XM, YN, ZL from its vertices to the opposite sides ZY, XZ, XY respectively. Measure the heights of the triangle. 2]Draw the Δ ABC in which AB = 3 cm, BC = 4 cm, AC = 5 cm,,then draw from B perpendicular line cuts AC at E. Find the lengths of BE. 61
62 3] Draw the Δ DEF in which DE = 6 cm, EF = FD = 5 cm, then draw perpendicular from the point F to DE and find its length. 4] Draw the isosceles Δ ABC right angled at B in which AB = 4 cm, then draw a line segment perpendicular from B on AC to be BX and find its length. 5] Draw the triangle LMN in which LM = 6 cm. and LN = MN = 5cm., using Your geometric instruments, draw the three altitudes LX, MY and NZ. And find the length of each one of them. 62
63 The set is a collection of well-defined things having a common property. 1) Which of the following is a set and which is not a set? 1) Digits of no ) Letters of the word (Shereen).... 3) Delicious meals.... 4) Days of the week.... 5) Months of the year.... 6) High buildings 7) Nice fruits.. 8) The Arabic alphabet 2] Write all the elements for each of the following sets: 1) The set of digits of number ) The set of letters of the word (maths).... 3) The set of even numbers between 0 & five.. 4) The set of days of the week.... 5) The set of the number
64 3] State all the elements in each set of the following: 1. The set of months of the year.. 2. The set of even numbers between 5 and The set of prime numbers less than The set of the main three colors of Egyptian flag The set of odd numbers smaller than The set of letters of the word "Football "... 4] Express each of the following sets by the listing method: 1) X= the set of the digits of number ) Y= the set of months of the year beginning with the letter (J). 3) The set of even prime number.. 4) The set of letters of the word "Peter" 5] List all the elements in each of the following sets : 1) Set of letters of the word (apple).. 2) Set of digits of the number (7). 3) Set of days of the week that beginning with the letter (S).. 4) Set of prime numbers less than (14). 64
65 7] Express the following sets by description method: 1. A = { 0, 2, 4, 6 }. 2. C = { S, A, Y, M } 3. H = { 1, 0, 5, 8, 2 }.. 4. Y = { January, February, March,, December }.. 5. B = { 2, 4, 6, 8, 10, 12, 14,.. } 6. V = { m, n, o } 7. M= { Winter, Spring, Summer, Autumn} 8. N= { 0, 1, 2, 3, 4 }. 65
66 1] By using the opposite Venn diagram write each of the following sets: Y Z X X = {,.., } Y = {..,.,..} Z= {,..} A = {.,.,. } B = {.,.,.} The common element between A and B is 2] By using the opposite Venn diagram write the element inside each set : B = { 5, 1, 9 } C = { 0, 4, 7 } D = { 7, 3, 1 } B C D 66
67 1] Put or : 1) 5. { 2, 5, 9 } It is the relation between an element and a set. 2) 35. { 3, 5 } 3) 32. { 10, 12, 14, 23 } 4) 6.. { 2, 5, 9 } 5) 7.. { 77, 17 } 6) 0.. { 10, 20 } 7) e.. { letters of the modern } 8) 19.. { 1, 3, 5,..}s 9) 2. { 4, 5 } 10) 0. { } 2] If X = { 1, 2, 3, 4 } then complete using or : a) 1... X b) 6. X c) 4.. X d) 23. X e) 2.. X f) 0.5. X 67
68 3] Complete: 1) If 9 { 5, x }, then x = 2) If 6 { 7, 2, a }, then a =. 3) If 3 { 9, 8, b }, then b =. 4) If 4 { 1, n, 3 }, then n =. 5) If 5 { 7, b + 1, 9 }, then b =. 6) If 8 { n 2, 6, 4 }, then n = 4] Choose : 1) If 4 { 3, y }, then y = ( 3, 5, 4, ) 2) If 0 { x 3, 4 }, then x = (, 3, 4, 5 ) 3) If 3 { 6, x + 1, 5 }, then x =.. ( 2, 3, 7, 6 ) 4) If y { 3, 10, 7 } and also belongs to the multiples of 5, then y =. (7, 3, 5, 10) 68
69 Finite set: It is a set has a limited number of elements {1, 2, 4 } Infinite set: It is a set has an unlimited number of elements {1, 2, 3, } Empty set : (null) it s a set that has no elements. { } or 1] State whether finite, infinite or empty set : 7) The set of dinosaurs in the zoo. (.. ) 8) The set of books in your school library. (.. ) 9) The set of pupils in your school. (...) 10) The set of prime odd numbers. (..) 11) The set of whole numbers between 18 and 19. (.. ) 2] Which of the following sets is finite and which is infinite, then list the elements of each set: 1. The set of letters of the word apple. 2. The set of days of the week.. 3. The set of multiples of the number The set of prime numbers. 69
70 Two sets are said to be equal if they have the same elements 1] Put ( = ) or ( ) : 1) {15,3}.. { 3, 1, 5 } 2) {213}.. { 3, 2, 1 } 3) {Months of the year beginning with K }... { } 4) { x: x >2 } { 3, 4, 5 } 5) {X: x >6} { 7, 8, 9, } 2] Complete: 12) {X: x <2} {0, 1 } 1) {0, X } = { Y,5 } then X=., Y =. 2) { 3, A, 9 } = {6, B, 3} then A =. B =. 3) { X, 2, 3 } = {Y, 2, 1} then X =. Y =. 4) { 4, A, 6 } = { 6, B, 5 } then A =.B =. 5) { 3, 2 } = { 2,m } then m = 6) { x+ 1, 5 } = { 5, 4 } then x = 70
71 1) Complete the following using or 1) {2, 3} { 1, 2, 3 } 2) {56} { 50, 6 } 3) {4, 7, 9} { 479 } 4) Ø. { 2, 3 } 5) {2, 1, 5} { 1, 2, 3, } 6) {9, 8} { even numbers } 2] Complete the following using (,,, or ) : 1) 47. { 4, 7 } 2 ) { 200 }. { 0, 2, 4 } 3) Ø { 60, 70 } 4) 3. { 1, 5, 3 } 5) { 6 }. { the digit of the number 666 } 3] Find the value of x, y in each of the following : 1) 3 { x, 9 } then x =. 2) { 4 } { x,6 } then x =.. 3) { 5 } { 1, y, 6 } then y =.. 4) { 7, x } {8, 9, 7 } then x =.. 71
72 A. Put the suitable sign (,,, or ) 1) 39.. { 3.9 } 2) 15 the set of digits of the number 125 3) { 9 }.. { 5, 6, 7 } 4) { 3, 8 }. { 8, 3 } 5) 2. { 22 } 6) { 3, 6 } { x : x is a prime number } 7) { 0 }. { 10, 20 } 8) { 2, 3, 5 }.. { 2, 3 } 9) M The set of letters in the word man B. If H = { 4, 6 }. List all subsets of H.. C. Use the listing method to express the months of the year... 72
73 1] In the opposite figure find : X =. Y =. X Y =.3 X y.9 2] Use the Venn diagram to list the elements of: 1) X Y = X 2) Y Z =.1 3) X Z =.7 4) X Y Z = Y Z.0 3] If X = { 1, 3, 5, 7 }, Y = { 1, 2, 3 }, Z = { 2, 3, 5 }, List : 1) X Y=.. 2) Y Z =. 3) X Z =. 4) X Y Z =. 4] Complete: 1) { 2, 7 } { 3, 7 } =.. 2) {, 9, 4 } { 9, 6, 1 } =.. 3) { 5, 6 } { 1, 3 } =.. 4) {9} { 9, 8 } =.. 5) { 6, 7 } Ø =.. 73
74 5] If X = { 2, 4, 6 }, Y = { 2, 6, 8 } Draw a Venn diagram to represent these 2 sets, then find (X Y) 6] Represent the two sets A and B by Venn diagram where A= {2, 3, 7} & B= {1, 4, 8} then find A B. 74
75 Q.1] In the opposite figure: 1) X=. 2) Y=. X Y.9 3) X U Y = Q.2] Use the Venn diagram to list the elements of : 1) X U Y = X 2) Y U Z =.1 3) X U Z =..7 4) X U Y U Z =. Y Z.6.0 Q.3] If X = { 1, 3, 5, 7 }, Y = { 1, 2, 3 }, Z = { 2, 3, 5 }, List : 1) X U Y=.. 2) Y U Z =. 3) X U Z =. 4) X U Y U Z =. 75
76 1] In the opposite Venn diagrams, Complete: 1) X =.., X \ =. 2) Y =., Y \ =.. 3) X Y =..,(X Y) \ =. 4) X Y =..., ( X Y ) \ =. 5) U =. 2] If U is the set of the even numbers less than 12 and A= { 2, 4, 6, 10 }, B = { 4, 8, 0, 6 } Find each of the following: 1) A \ =., B \ =.. 2) A U B =., A B =. 3) (A B) \ =.., (A U B) \ =... 4) A \ B \ =., A \ U B \ = 76
77 1] Find the following: 1) { 5, 4, 2 } - { 1, 2 } = 2) { 5, 6 } - Ø =. 3) { 55 } - { 25 } =. 4) { 2, 5, 7 } - { 8, 10, 2, 7, 5 } =. 5) { 7, 8 } - { 8, 7 } = 2] In the opposite Venn diagrams, Complete : 1) A = U 2) A \ =. A.1.6 3) A A \ = 4) A A \ = ) U A =.. 6) A U =.. 3] If X = { 4, 8 } & Y = { 2, 4, 6 }, then find: 1) X Y =.. 2) Y X =.. 3) Y U X = ) X Y =... 77
78 A. If X = {4, 8 } & Y = { 2, 4, 6 }, then find: 1. X Y =.. 2. Y X =. 3. Y U X = X Y =. B. If X = {6, 1, 9 } & Y = { 3, 8, 1, 2 }, then find: 1. X Y = Y X =. 3. Y U X = X Y =.. D. Use the operation of intersection and union, the difference and complement, express the shaded part in each of the following diagrams:... 78
79 E.Choose the correct answer: 1- { 25 } { 2, 5 } a) b) c) d) 2-. { } a) b) c) d) 3- The number of subsets of the set { 5, 7 } equals. a) 2 b) 3 c) 4 d) 5 4- { 2, 3, 6, 12 } the set of the factors of the number 6 a) {2, 3, 6, 12 } b) {3, 6} c) {4, 6} d) {2, 6, 3} 5- If x Y, then X Y = a) X b) Y c) d) U 6- If U is the set of odd numbers less than 25, then { 5, 15, 25 }. U a) b) c) d) 7- If { 3, 6} = { 1+ x, 3} then x=.. a) 2 b) 3 c) 4 d) 5 8- if { 2, a + 2 } { 2, 4, 6, 8}, then a =. a) 2 b) 4 c) 6 d) 8 79
80 9-5.{3, 5} { 4, 7 } a) b) c) d) 10- If x Y, then X Y = a) X b) Y c) d) U 11- If X Y = Y, Then X.Y a) b) c) d) 12- If { 7, 10 } { 10, x+4 } then x =.. a) 2 b) 3 c) 4 d) If U = { 2, 3, 4, 5, 6, 7}, then : i).. U a) b) c) d) ii) U..U a) b) c) d) iii) { 6, 7 }. U a) b) c) d) 80
81 81
82 Note that: The probability of impossible event = 0 The probability of certain event = 1 The probability of possible event is between 1 & 0 (fraction) The sum of all possible events = 1 A) In rolling a fair die, complete the following: 1. The probability of getting an even number = 2. The probability of appearance of an odd number =.. 3. The probability of appearance of a number greater than 2=.. 4. The probability of appearance of the number 4 =.. 5. The probability of appearance of a prime number =.. 6. The probability of appearance of a number divisible by 5 =. 7. The probability of appearance of a number less than 3 =.. 8. The probability of appearance of an even prime number = 82
83 B) A card is chosen randomly from twelve cards numbered from 1 to 12. What s the probability that the selected card shows: 1. An odd number.. 2. A prime number.. 3. An odd number greater than An even number less than 5. C. A bag contains 5 blue marbles, 3 red marbles and 4 green marbles, if a marble is chosen randomly, find the probability of the following: 1- Getting a blue marble =. 2- Getting a red marble =.. 3- Getting a green marble =. 4- Getting a black marble =. 5- Getting a blue or red marble =.. 6 Getting a red or green marble =. 7 Getting a non-red marble = D. complete: 1) The probability of impossible event is.. 2) The probability of certain event is. 3) The probability of possible event is between. and. 4) The probability of getting a head when tossing a coin once =.. 5) The sum of all possible probabilities = 83
84 E.A spinner has 5 equal colored sectors : 1. What are the possible outcomes?. 2. What are the chances to stop on red after spinning? 3. What are the chances of landing on black or red? 4. What are the chances of getting purple or yellow?.. 5. What are the chances of getting a white colour?.. 84
85 A. Choose the correct answer: 1- On tossing a coin the probability of getting a head=. a) 0.5 b) 0.4 c) 0.2 d) none of the previous 2- The probability of certain event is a) 0 b) 1 c) 2 d) A fair die is thrown once; the probability of getting an even number is. a) 0 b) 1 c) 2 d) A fair die is thrown once; the probability of getting a number less than 3 is a) 0 b) 1 c) 1 3 d) A fair die is thrown once; the probability of getting a number greater than one is a) 0 b) 5 6 c) 1 3 d) A fair die is thrown once; the probability of getting a number greater than nine is a) 0 b) 5 6 c) 1 3 d) A fair die is thrown once; the probability of getting number 5 is.. a) 0 b) 1 6 c) 1 3 d)
86 8 As tossing a metallic coin once, the probability of appearing a head is.. a) 0 b) 1 c) 1 3 d) A fair die is thrown once; the probability of getting a number divisible by 2 is a) 0 b) 5 6 c) 1 3 d) As tossing a metallic coin once, the probability of appearing a tail is.. a) 0 b) 1 c) 1 3 d) A fair die is thrown once; the probability of getting a prime number is a) 0 b) 5 6 c) 1 3 d) The probability that the elephant flies =. a) 0 b) 1 c) 1 3 d) It is that the sun rises from west. a) Expected b) possible c)sure d) impossible 14- The probability that a bird flies =.. a) 0 b) 1 c) 1 3 d) A fair die is thrown once; the probability of getting a number smaller than or equal to 6 is. a) 0 b) 1 c) 1 3 d)
87 First: - Choose the correct answer: 1) { 4, 5} {2, 3, 7 } a) b) c) d) 2) The number of altitudes of the acute angled- triangle is a) zero b) 1 c) 2 d) 3 3) The probability of impossible event =.. a) zero b)1 c) 2 d)3 4) 7 {17, 77} a) b) c) d) 5) if { 3, 4 } = { 1 + y, 4 }, then y =. a) zero b)1 c) 2 d)3 6) =. a) b) c) d) ) The probability of success of a pupil in an exam is then the probability of his failing is a) b) c) d) 8) If { 5, 3 } { 3, x } = Ø then x =. a) zero b)1 c) 5 d) 3 9) If X Y, then X Y = a) X b) Y c) U d) X \ 87
88 10) The shaded part in the opposite figure represents. a) X Y b) X Y c) U d) X Y ) 2 x 1 = a) 4 b) 3 c) 3 d) ) The probability of the certain event = 2 12 a) zero b) 1 c) 2 d) 3 13) Ø the set of odd numbers. a) b) c) d) 14) If X Y, then X U Y =. a) X b) Y c) U d) X \ 15) The altitudes of the obtuse angled triangle intersect at one point located the triangle. a) on b) inside c) outside d) at the vertex 16) If a X, then a X \ a) b) c) d) 17) A fair die is thrown once; the probability of getting a number divisible by 2 is a) 0 b) 5 6 c) 1 3 d) ) As tossing a metallic coin once, the probability of appearing a tail is.. a) 0 b) 1 c) 1 3 d)
89 19) A fair die is thrown once; the probability of getting a prime number is a) 0 b) 5 6 c) 1 3 d) )The longest chord the diameter in a circle a) Longest b) shortest c) equal d) different 21) = a) 1 4 b) 1 8 c) 2 d) ) The lengths of 2 diameters in the same circle are... a) Different b) equal c) approximately d)smaller than 23) x 10 = a) b) c) d) ) to the nearest. a) Tenths b) hundredths c) thousandths d) units 25) Any line segment joins any two points on the circle passing through the center of the circle is called. a) Radius b) center c) diameter d) chord 26) The radius length of a circle with diameter 10 cm equal.. a) 10 b) 5 c) 11 d) 7 27) x = 7252 a) 10 b)100 c)1000 d)
90 28) (to the nearest tenths) a) 3.1 b) 3.12 c) 3.13 d) ) To draw a circle with diameter length 20 cm., then open the compass with length cm. a) 5 b) 10 c)12 d) 6 Second: - Complete the following: 1) Write the greatest decimal fraction which consists of 3, 5, 4 and 2, then approximate it to the nearest hundredth and to the nearest thousandth. 2) =.. 3) The number which multiplied by 112, the result will be 3584 is.. 90
91 4) 5.4 x 3.2 =.. 5) {8} { 2, 5, 8} =. 6) The altitudes of the right angled triangle intersects at the of the right angle. 7) The probability of an event = zero, then this is (a / an). event. 8) The complement of an empty set is the...set. 9) The number of sides of a triangle the number of its heights ( >, <,= ) 10) =. 11) (to the nearest hundredth ) 12) In the opposite figure: i) AB is called.in the circle M ii) AC is called in the circle M 91
92 13) =.. (to the nearest hundredth). 14) =... (to the nearest tenth). Third: - Answer the following : A) From the opposite figure, Complete: X=.. Y= X Y X Y = X U Y = X Y = X =.. 92
93 B) Draw the Δ ABC in which AB = 4 cm, BC = 6 cm, and CA = 8 cm then draw a circle whose center is B and its radius length is equal to 4 cm then complete the following : a) The point A is located.. the circle b) The point C is located.. the circle c) The. is called the radius of the circle. 6) A bag contains 4 red, 6 orange and 8 yellow marbles. Randomly a marble is Selected. Calculate the probability of selecting : 1. Red marbles =.. 2. Black marbles =. 3. Yellow marbles = 93
94 First: - Choose the correct answer: 1) { 2, 8} { 2, 3, 7 } a) b) c) d) 2) gm Kg a) 35 b) 346 c) 3460 d) 34 3) The number of subsets of { 1, 7 } =.. a) 5 b) 4 c) 2 d) 3 4) 9 {19, 99} a) b) c) d) 5) If { 3, 4 } = { 2 + y, 4 }, then y =. a) zero b)1 c) 2 d)3 6) A A = a) U b) A c) A d) Ø 7) x 1 = a) 2 b)1 c) d) 4 8) ( to the nearest 0.01 ) a) b) c) d) ) If X Y, then X Y =... a) X b) Y c) U d) X \
95 10) The shaded part in the opposite figure represents. a) X Y b) X Y c) U d)x Y 11) If U = { 2, 3, 4, 5, 6, 7,.. }, Then 9 U a) b) c) d) ) The decimal form of the fraction = a) 0.15 b) 0.3 c) 0.9 d) 13) 1.25 x x 12.5 a) > b) < c) = d) 14) If X Y, then X U Y =. a) X b) Y c) U d) X \ 15) The altitudes of the acute angled triangle intersect at one point located the triangle. a) on b) inside c) outside d) at the vertex 16) If a X, then a X \ a) b) c) d) 17) A fair die is thrown once; the probability of getting a number divisible by 5 is 1 2 a) 1 6 b) 5 6 c) 1 3 d) As tossing a metallic coin once, the probability of appearing a head is a) 0 b) 1 c) 1 3 d)
96 19 - A fair die is thrown once; the probability of getting an even number is a) 0 b) 5 6 c) 1 3 d) ) 4 x = 1 a) 5 4 b) 1 4 c) 0.8 d) ) (to the nearest tenth) a) 0.6 b) 0.06 c) d) ) = a) 2.5 b) 0.25 c)25 d) ) The length of the longest chord = a) 1 2 r b) r c) 2r d) 3r 24) to the nearest.. a) 0.1 b) 0.01 c) d) ) x10 a) < b) > c) = d) 26) 1 4 x 1 2 =. a) 1 4 b) 1 2 c) 3 4 d) ) If 3 5 = x 10 then x =. a) 6 b)12 c) 18 d)15 96
97 28) to the nearest. a) b) c) d) 1 10 Second: - Complete the following: 1) =.. 2) =... 3) The number which multiplied by 9144, the result will be is.. 4) 2.7 x 0.44 =
98 5) {3,2,5} { 2, 5, 8} =. 6) Any triangle has... altitudes. 7) The probability of an event = 1, then this is (a / an). event. 8) The complement of the universal set is an...set. 9) The number of heights of an isosceles triangle equal... 10) x 100 =. 11) m.. cm 12) The line joining the center of the circle and any point on the circle is called 13) If the radius length equals 3.5 then its diameter length =.. 14) If L = and M= , then find M L approximate the result to the nearest hundredth. 98
99 Third: - Answer the following: A) From the opposite figure, complete: In the opposite Venn diagrams, Complete: 1) X = X \ =.. 2) Y =, Y \ =. 3) X Y =, (X Y) \ =. 4) X Y =..., ( X Y ) \ = 5) U =. U X Y B ) Find the perimeter of the rectangle whose length is 4.1 cm and its width is 3.5 cm, then calculate its perimeter. 99
100 C) Draw the Δ ABC in which AB = BC = 6 cm and AC = 5 cm, then draw AD perpendicular BC which intersect it at D then find the length of AD D) A box contain cards numbered from 1 to 10, find the probability of : i) Getting an even number.. ii) Getting a prim number. iv) Getting number
St. Fatima Language Schools
The Vision of the School: Distinct Environment for Refined Education St. Fatima Language Schools Work sheets (2018/ 2019) Primary (5) (First Term ) Name :.. Class :.. sup :Maha Ahmed -0- Sheet (1) 1) Approximate
More informationMath. Model Exam (1) Mid-year. Fifth primary. Question 1: Question 2: Answer the following: a = (to the nearest )
Model Exam (1) Question 1: Answer the following: a- 65.3814 + 63.4027 = (to the nearest ) b- 53.27 2.1 = (to the nearest tenth) c- (3.425 + 1.07) 2.8 = (to the nearest hundredth) d- 9.568 9 = (to the nearest
More information1) Complete : 25 1) =. ( as a mixed no.) 6
Revision sheet ) Complete : 25 ) =. ( as a mixed no.) 6 9 2) =.. ( as an improper fraction ) ) 6 = ( as a decimal form) ) The place value of the digit 5 in 67. 58 is 5) Five hundred thirty two and five
More informationThe vision of the school: Distinct Environment for Refined Education. Supervisor of Mathematics Mrs. Shereen Wahba -1-
The vision of the school: Distinct Environment for Refined Education Supervisor of Mathematics Mrs. Shereen Wahba -1- St. Fatima L. S. Primary [1] Complete:- Multiplying 10 a) 2 = =.. b) 10 + 10 + 10 +
More informationCalifornia 5 th Grade Standards / Excel Math Correlation by Lesson Number
(Activity) L1 L2 L3 Excel Math Objective Recognizing numbers less than a million given in words or place value; recognizing addition and subtraction fact families; subtracting 2 threedigit numbers with
More informationHarbor Creek School District
Numeration Unit of Study Big Ideas Algebraic Concepts How do I match a story or equation to different symbols? How do I determine a missing symbol in an equation? How does understanding place value help
More informationDawood Public School Course Outline Math Class IV
Dawood Public School Course Outline 2017-18 Math Class IV MONTHS CONTENTS DURATION Place value + Comparing and Ordering Rounding off to the nearest 10 s and 100 s AUGUST Divisibility rule Multiplication
More informationPRIMARY THREE SECOND TERM
LYCEE EL HOREYA LANGUAGE SCHOOL MATHEMATICS DEPARTMENT WORKSHEETS PRIMARY THREE SECOND TERM 2014-2015 NAME: CLASS:. 1 Any number multiplied by( X) by 1 = the same number Ex. 3 x 1 = 3 7 x 1 = 7 2 - Any
More informationJAMAICA_7th Grade Math Table of Content with Listing of Activities
JAMAICA_7th Grade Math Table of Content with Listing of Activities 0. GSAT Review Number System: Comprehensive Review Algebra: Comprehensive Review Geometry: Comprehensive Review Mensuration: Comprehensive
More informationPreliminary chapter: Review of previous coursework. Objectives
Preliminary chapter: Review of previous coursework Objectives By the end of this chapter the student should be able to recall, from Books 1 and 2 of New General Mathematics, the facts and methods that
More informationThe set of Integers. Notes: 1) The set of counting numbers C= {1, 2, 3, 4,.} 2) The set of natural numbers N = {0, 1, 2, 3, 4,.}
1 The set of Integers Notes: 1) The set of counting numbers C= {1, 2, 3, 4,.} 2) The set of natural numbers N = {0, 1, 2, 3, 4,.} 3) The set of integers Z Z= Z - U {0} U Z + OR Z= Z - U N Where Z - = {..,-3,-2,
More information4R & 4A Math Pacing Guides
GRADING PERIOD: 1st Nine Weeks Getting to Know You - Community Building 4.14- Data a. Collect data, using observations, surveys, measurement, polls, or questionnaires. b. Organize data into a chart or
More informationArithmetic with Whole Numbers and Money Variables and Evaluation (page 6)
LESSON Name 1 Arithmetic with Whole Numbers and Money Variables and Evaluation (page 6) Counting numbers or natural numbers are the numbers we use to count: {1, 2, 3, 4, 5, ) Whole numbers are the counting
More informationGeometric Formulas (page 474) Name
LESSON 91 Geometric Formulas (page 474) Name Figure Perimeter Area Square P = 4s A = s 2 Rectangle P = 2I + 2w A = Iw Parallelogram P = 2b + 2s A = bh Triangle P = s 1 + s 2 + s 3 A = 1_ 2 bh Teacher Note:
More informationMATHS DEPARTMENT SYNA INTERNATIONAL SCHOOL CLASS V 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 3 X 6 = 18 3 X 7 = 21 3 X 8 = 24 3 X 9 = 27
LEARNING PAPERS FOR CLASS V TABLE 2 X 1 = 2 2 X 2 = 4 2 X 3 = 6 2 X 4 = 8 2 X 5 = 10 2 X 6 = 12 2 X 7 = 14 2 X 8 = 16 2 X 9 = 18 2 X 10 = 20 3 X 1 = 3 3 X 2 = 6 3 X 3 = 9 3 X 4 = 12 3 X 5 = 15 3 X 6 =
More information2. P = { 0,2,4,6} and { 1,2,4,5} find P Q. A. { 0,6} B. { 2,4} C. {0, 2,4} D. { 0,2,6}
SECTION A. 1. Express 24 as a product of prime factors. A. 2 2 x 3 3 B. 2 x 3 C. 2 2 x 3 D. 2 3 x 3 2. P = { 0,2,4,6} and { 1,2,4,5} find P Q. A. { 0,6} B. { 2,4} C. {0, 2,4} D. { 0,2,6} 3. Two sets which
More informationMEP Primary Practice Book 5b a) Use a ruler to draw the required parts of this 10 cm line segment. i) ii) iii) iv) 1 unit
Use a ruler to draw the required parts of this 0 cm line segment. i) ii) iii) iv) unit 8 00 00 0 cm b) Express the fractions in hundredths and percentages. i) iii) = ii) = 8 00 iv) 00 Use the diagrams
More informationSt. Ann s Academy - Mathematics
St. Ann s Academy - Mathematics Students at St. Ann s Academy will be able to reason abstractly and quantitatively. Students will define, explain, and understand different types of word problems (simple
More informationAlaska Mathematics Standards Vocabulary Word List Grade 4
1 add addend additive comparison area area model common factor common multiple compatible numbers compose composite number counting number decompose difference digit divide dividend divisible divisor equal
More informationOdd numbers 4 2 = 4 X 4 = 16
Even numbers Square numbers 2, 4, 6, 8, 10, 12, 1 2 = 1 x 1 = 1 2 divides exactly into every even number. 2 2 = 2 x 2 = 4 3 2 = 3 x 3 = 9 Odd numbers 4 2 = 4 X 4 = 16 5 2 = 5 X 5 = 25 1, 3, 5, 7, 11, 6
More informationGrade Demonstrate mastery of the multiplication tables for numbers between 1 and 10 and of the corresponding division facts.
Unit 1 Number Theory 1 a B Find the prime factorization of numbers (Lesson 1.9) 5.1.6 Describe and identify prime and composite numbers. ISTEP+ T1 Pt 1 #11-14 1b BD Rename numbers written in exponential
More informationGM1.1 Answers. Reasons given for answers are examples only. In most cases there are valid alternatives. 1 a x = 45 ; alternate angles are equal.
Cambridge Essentials Mathematics Extension 8 GM1.1 Answers GM1.1 Answers Reasons given for answers are examples only. In most cases there are valid alternatives. 1 a x = 45 ; alternate angles are equal.
More information5.1 The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth.
5.1 The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth. The structure of the Base-10 number system is based upon a simple pattern of tens in which
More information02)
GRE / GMATmath,! abscissa, scalene, intercept, markup, such that, break even. abscissa. (4, 2) 4abscissa, 2ordinate absolute value acre add adjacent angles altitude ; angle () acute angle (90 ) right angle
More informationCalifornia 3 rd Grade Standards / Excel Math Correlation by Lesson Number
California 3 rd Grade Standards / Lesson (Activity) L1 L2 L3 L4 L5 L6 L7 L8 Excel Math Lesson Objective Learning about the tens place and the ones place; adding and subtracting two-digit numbers; learning
More information2015 State Competition Countdown Round Problems 1 80
2015 State Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. National Sponsors Raytheon Company Northrop Grumman Foundation U.S. Department of
More informationRevision papers for class VI
Revision papers for class VI 1. Fill in the blanks; a. 1 lakh=--------ten thousand b. 1 million=-------hundred thousand c. 1 Crore=--------------million d. 1 million=------------1 lakh 2. Add the difference
More informationMMC Sectoral Level, Category B. March 24, 2017
MMC 017 Sectoral Level, Category B March 4, 017 Disclaimer: inexact wording. I was not able to attend the actual round, so I must rely on transcriptions, which may affect the accuracy. I can vouch for
More informationiii (a, c), (a, e), (c, e), (b, d), (b, f), (d, f), (l, h), (l, j), (h, j), (g, i), (g, k), (i, k)
Cambridge Essentials Mathematics Core 8 GM1.1 Answers GM1.1 Answers 1 a There is more than one valid reason for each statement; those given are the simplest. i Corresponding angles ii Vertically opposite
More informationDecimal Addition: Remember to line up the decimals before adding. Bring the decimal straight down in your answer.
Summer Packet th into 6 th grade Name Addition Find the sum of the two numbers in each problem. Show all work.. 62 2. 20. 726 + + 2 + 26 + 6 6 Decimal Addition: Remember to line up the decimals before
More informationDestination Math. Scope & Sequence. Grades K 12 solutions
Destination Math Scope & Sequence Grades K 12 solutions Table of Contents Destination Math Mastering Skills & Concepts I: Pre-Primary Mathematics, Grades K-1... 3 Destination Math Mastering Skills & Concepts
More informationIntegers include positive numbers, negative numbers, and zero. When we add two integers, the sign of the sum depends on the sign of both addends.
Adding Integers Reteaching 31 Math Course 3, Lesson 31 Integers include positive numbers, negative numbers, and zero. When we add two integers, the sign of the sum depends on the sign of both addends.
More informationRatio Problems Involving Name Totals (page 528)
LESSON 101 Ratio Problems Involving Name Totals (page 528) In some ratio problems a total is needed in order to solve the problem. 1. Fill in the ratio box with things you know. 2. Write a proportion.
More informationPRE-ALGEBRA SUMMARY WHOLE NUMBERS
PRE-ALGEBRA SUMMARY WHOLE NUMBERS Introduction to Whole Numbers and Place Value Digits Digits are the basic symbols of the system 0,,,, 4,, 6, 7, 8, and 9 are digits Place Value The value of a digit in
More informationMath is Cool Masters
Sponsored by: GENIE Industries 7 th Grade November 19, 2005 Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round
More informationINTERNATIONAL INDIAN SCHOOL, RIYADH. 11cm. Find the surface area of the cuboid (240cm 2 )
INTERNATIONAL INDIAN SCHOOL, RIYADH CLASS: IX SUBJECT: MATHEMATICS 1. SURFACE AREAS AND VOLUMES 1. The diagonal of a cube is 12cm. Find its volume. 2. If the lateral surface area of a cube is 1600cm 2,
More informationBasic Math. Curriculum (358 topics additional topics)
Basic Math This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to meet your curricular needs.
More information3. Which of these numbers does not belong to the set of solutions of the inequality 4
Math Field Day Exam 08 Page. The number is equal to b) c) d) e). Consider the equation 0. The slope of this line is / b) / c) / d) / e) None listed.. Which of these numbers does not belong to the set of
More informationNUMERACY TOOLKIT TOOLKIT NUMERACY
NUMERACY TOOLKIT TOOLKIT NUMERACY Addition Calculating methods Example 534 + 2678 Place the digits in the correct place value columns with the numbers under each other. Th H T U Begin adding in the units
More informationThe CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca Cayley Contest. (Grade 10) Tuesday, February 28, 2017
The CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca 2017 Cayley Contest (Grade 10) Tuesday, February 28, 2017 (in North America and South America) Wednesday, March 1, 2017 (outside
More informationNozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Ismailia Road Branch
Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Sheet Ismailia Road Branch Sheet ( 1) 1-Complete 1. in the parallelogram, each two opposite
More informationFifth Grade Mathematics Mathematics Course Outline
Crossings Christian School Academic Guide Middle School Division Grades 5-8 Fifth Grade Mathematics Place Value, Adding, Subtracting, Multiplying, and Dividing s will read and write whole numbers and decimals.
More informationMath is Cool Masters
8th Grade November 19, 2005 Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise.
More informationGlossary. Glossary Hawkes Learning Systems. All rights reserved.
A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Acute triangle A triangle in which all three angles are acute Addends The
More information6th Grade Mathematics
Standard 1: Number & Operation and use numbers and use numbers 27-31% and use numbers 6.M.1.1.1 Compare magnitudes and relative magnitudes of positive rational numbers, including whole numbers through
More informationOBJECTIVES UNIT 1. Lesson 1.0
OBJECTIVES UNIT 1 Lesson 1.0 1. Define "set," "element," "finite set," and "infinite set," "empty set," and "null set" and give two examples of each term. 2. Define "subset," "universal set," and "disjoint
More informationCourse Readiness and Skills Review Handbook (Topics 1-10, 17) (240 topics, due. on 09/11/2015) Course Readiness (55 topics)
Course Name: Gr. 8 Fall 2015 Course Code: C6HNH-TEK9E ALEKS Course: Middle School Math Course 3 Instructor: Mr. Fernando Course Dates: Begin: 08/31/2015 End: 06/17/2016 Course Content: 642 Topics (637
More informationSAMPLE. The SSAT Course Book MIDDLE & UPPER LEVEL QUANTITATIVE. Focusing on the Individual Student
The SSAT Course Book MIDDLE & UPPER LEVEL QUANTITATIVE Focusing on the Individual Student Copyright Statement The SSAT Course Book, along with all Summit Educational Group Course Materials, is protected
More informationVocabulary Cards and Word Walls Revised: June 29, 2011
Vocabulary Cards and Word Walls Revised: June 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education,
More informationIntermediate Mathematics League of Eastern Massachusetts
Meet #5 March/April 2005 Intermediate Mathematics League of Eastern Massachusetts Average team score: 86.6 Average meet for the seasion: 95.9 Meet #5 March/April 2005 Category 1 Mystery Meet #5, March/April
More informationMath Glossary. Version September 1, Next release: On or before September 30, for the latest version.
Math Glossary Version 0.1.1 September 1, 2003 Next release: On or before September 30, 2003. E-mail edu@ezlink.com for the latest version. Copyright 2003 by Brad Jolly All Rights Reserved Types of Numbers
More informationUNCC 2001 Comprehensive, Solutions
UNCC 2001 Comprehensive, Solutions March 5, 2001 1 Compute the sum of the roots of x 2 5x + 6 = 0 (A) (B) 7/2 (C) 4 (D) 9/2 (E) 5 (E) The sum of the roots of the quadratic ax 2 + bx + c = 0 is b/a which,
More informationMATHEMATICS COMMON CORE LEARNING TARGETS KINDERGARTEN
KINDERGARTEN Counting and Cardinality K n o w n u m b e r n a m e s a n d t h e c o u n t s e q u e n c e Count to 100 by ones. Count to 100 by tens. Count starting at a number other than 1. Write numbers
More informationExecutive Assessment. Executive Assessment Math Review. Section 1.0, Arithmetic, includes the following topics:
Executive Assessment Math Review Although the following provides a review of some of the mathematical concepts of arithmetic and algebra, it is not intended to be a textbook. You should use this chapter
More informationHigh School Math Contest
High School Math Contest University of South Carolina February th, 017 Problem 1. If (x y) = 11 and (x + y) = 169, what is xy? (a) 11 (b) 1 (c) 1 (d) (e) 8 Solution: Note that xy = (x + y) (x y) = 169
More informationMiddle School Math Course 2
Middle School Math Course 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet
More informationHigh School Math Contest
High School Math Contest University of South Carolina February 4th, 017 Problem 1. If (x y) = 11 and (x + y) = 169, what is xy? (a) 11 (b) 1 (c) 1 (d) 4 (e) 48 Problem. Suppose the function g(x) = f(x)
More informationPre Algebra and Introductory Algebra
Pre Algebra and Introductory Algebra This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to
More informationDate: Math 7 Final Exam Review Name:
Specific Outcome Achievement Indicators Chapter Got it?? the Solve a given problem involving the addition of two or more decimal numbers. addition, subtraction, multiplication and division of decimals
More informationGlossary. Glossary 981. Hawkes Learning Systems. All rights reserved.
A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Addends The numbers being added in an addition problem Addition principle
More informationRevision. 5 Mona had 8 pounds, she bought a doll for 3 pounds. How much money left with her? The money left with her =.. =.. pounds.
Date: / / 2012 Revision 1 Find: a 2 + 5 =. b 7 1 = c 6 + 3 = d 4 2 = e 8 4 =.. f 2 + 6 =. g 9 7 =.. h 3 + 3 = 2 Put the suitable sign >, < or = : a 7 3 2 + 3 b 8 4. Four c Six.. 5 1 d 5 2. 5 + 2 3 Arrange
More information2015 Fall Startup Event Solutions
1. Evaluate: 829 7 The standard division algorithm gives 1000 + 100 + 70 + 7 = 1177. 2. What is the remainder when 86 is divided by 9? Again, the standard algorithm gives 20 + 1 = 21 with a remainder of
More informationHomework 1 #3. v 10. Student Name/ID: Integrated Mathematics II / AIR Int Math II (Robertson) 1. Simplify.
Homework #3 Integrated Mathematics II / AIR Int Math II (Robertson) Student Name/ID:. Simplify. v 0 Assume that the variable represents a positive real number. H om ew or k #3 Page / 0 2. For each experiment,
More information11 th Philippine Mathematical Olympiad Questions, Answers, and Hints
view.php3 (JPEG Image, 840x888 pixels) - Scaled (71%) https://mail.ateneo.net/horde/imp/view.php3?mailbox=inbox&inde... 1 of 1 11/5/2008 5:02 PM 11 th Philippine Mathematical Olympiad Questions, Answers,
More informationSimple Solutions Mathematics. Part A. Algebra I Part A. Help Pages & Who Knows
Simple Solutions Mathematics Algebra I Part A & Who Knows 83 Vocabulary General Absolute Value the distance between a number, x, and zero on a number line; written as x. Example: 5 = 5 reads The absolute
More informationR1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member
Chapter R Review of basic concepts * R1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member Ex: Write the set of counting numbers
More information3. A square has 4 sides, so S = 4. A pentagon has 5 vertices, so P = 5. Hence, S + P = 9. = = 5 3.
JHMMC 01 Grade Solutions October 1, 01 1. By counting, there are 7 words in this question.. (, 1, ) = 1 + 1 + = 9 + 1 + =.. A square has sides, so S =. A pentagon has vertices, so P =. Hence, S + P = 9..
More informationFinding a Percent of a Number (page 216)
LESSON Name 1 Finding a Percent of a Number (page 216) You already know how to change a percent to a fraction. Rewrite the percent as a fraction with a denominator of 100 and reduce. 25% = 25 100 = 1 5%
More information= = The number system. Module. Glossary Math Tools... 37
- > + > < - %. < + a = - 1 4 = = b in. 3 F -3-3 Module 1 The number system Lesson 1 Relate Fractions, Decimals, and Percents... 4 7.RP.3 Lesson 2 Solve Problems with Percents......... 8 7.RP.3 Lesson 3
More informationMath is Cool Championships
Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise. Record all answers on
More information= ( 17) = (-4) + (-6) = (-3) + (- 14) + 20
Integer Operations Adding Integers If the signs are the same, add the numbers and keep the sign. If the signs are different, find the difference and use the sign of the number with the greatest absolute
More informationState Math Contest Senior Exam SOLUTIONS
State Math Contest Senior Exam SOLUTIONS 1. The following pictures show two views of a non standard die (however the numbers 1-6 are represented on the die). How many dots are on the bottom face of figure?
More informationDownloaded from
MODEL TEST PAPER SUMMATIVE ASSESSMENT-I SOLVED Time : 3 hrs. Maximum Marks: 80 General Instructions. Section-A consists of 8 parts carrying 1 mark each Section-B Q2 to Q11 carry 2 marks each Section-C
More informationCalculating methods. Addition. Multiplication. Th H T U Th H T U = Example
1 Addition Calculating methods Example 534 + 2678 Place the digits in the correct place value columns with the numbers under each other. Th H T U Begin adding in the units column. 5 3 4 + 12 16 17 8 4+8
More informationMad Hatter Part I.
Question 1. Mad Hatter 11-12. Part I. When a triangle s base is increased by 10%, and the altitude to this base is decreased by 10%, the change in area is Math Field Day. California State University, Fresno.
More informationMath Wrangle Practice Problems
Math Wrangle Practice Problems American Mathematics Competitions November 19, 2010 1. Find the sum of all positive two-digit integers that are divisible by each of their digits. 2. A finite set S of distinct
More informationMathematics 8 Review 1 Square Roots. Practice: When a number is multiplied by itself, you square the number. The product is a perfect square.
Mathematics 8 Review 1 Square Roots When a number is multiplied by itself, you square the number. The product is a perfect square. For example: The square of 5 is 5 5 25 We write: 5 2 5 5 25 We say: Five
More informationGrade Tennessee Middle/Junior High School Mathematics Competition 1
Grade 7 008 Tennessee Middle/Junior High School Mathematics Competition. Which statement is always true? The greatest common factor of two prime numbers is. The greatest common factor of a prime and composite
More informationDiagnostic Assessment Number and Quantitative Reasoning
Number and Quantitative Reasoning. Identify the place value of the underlined digit,36,57,97. A millions B hundred thousands C ten thousands D hundreds 7. Which list contains the first three multiples
More informationNAEP Released Mathematics Items Grade 8
NAEP 2011 Released Mathematics Items Grade 8 National Assessment of Educational Progress (NAEP) NAEP is the largest nationally representative assessment of what America s students know and can do. Assessment
More information#2212 Geometry S2 #7772 Foundations in Geometry S2
Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: High School #2212 Geometry
More informationPart 1 - Pre-Algebra Summary Page 1 of 22 1/19/12
Part 1 - Pre-Algebra Summary Page 1 of 1/19/1 Table of Contents 1. Numbers... 1.1. NAMES FOR NUMBERS... 1.. PLACE VALUES... 3 1.3. INEQUALITIES... 4 1.4. ROUNDING... 4 1.5. DIVISIBILITY TESTS... 5 1.6.
More informationMATHEMATICS. Candidates performance was commendable in the following areas:
1. GENERAL COMMENTS MATHEMATICS The standard of the paper compares favourably with that of previous years. Candidates performance was generally poor. 3. SUMMARY CANDIDATES STRENGTHS Candidates performance
More informationUnit (1) Numbers. 1) Complete : - 1) If x N then ( 2x + 1 ) is.( even or odd ) 2) If x N then 2 x is. = 3 , 2 = 3. 3) 3 2 x
Cairo Governorate Department : Maths Nozha Directorate of Education Form : 1 st Prep Nozha Language Schools Revision Sheet Ismailia Road Branch 1) Complete : - Unit (1) Numbers 1) If x N then ( 2x + 1
More informationAMC Preparation Berkeley Math Circle January 31, 2012
AMC Preparation Berkeley Math Circle January 31, 2012 This handout serves as a preparation for the AMC12. The best way to prepare is to practice, practice, practice, and hence this handout contains many
More information1. How is five hundred twelve and sixteen thousandths written in decimal form? a b c. 512,160 d e f.
1. How is five hundred twelve and sixteen thousandths written in decimal form? a. 51.016 b. 51.16 c. 51,160 d. 51.16 e. 51.0016. 4 1 3 13 4 =? 7 f. 1 5 g. 3 1 h. 3 3 5 i. 1 j. 1 1 8 3. Simplify 3 11 +
More informationAcademic Vocabulary CONTENT BUILDER FOR THE PLC MATH GRADE 4
Academic Vocabulary CONTENT BUILDER FOR THE PLC MATH GRADE 4 Representing and Comparing Whole Numbers and Decimals 4.2 Number and operations. The student applies mathematical process standards to represent,
More informationFoundations of High School Math
Foundations of High School Math This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to
More informationNMC Sample Problems: Grade 9
NMC Sample Problems: Grade 9. One root of the cubic polynomial x + x 4x + is. What is the sum of the other two roots of this polynomial?. A pouch contains two red balls, three blue balls and one green
More informationEvaluations with Positive and Negative Numbers (page 631)
LESSON Name 91 Evaluations with Positive and Negative Numbers (page 631) When evaluating expressions with negative numbers, use parentheses to help prevent making mistakes with signs. Example: Evaluate
More informationADVANCED MATHS TEST - I PRELIMS
Model Papers Code : 1101 Advanced Math Test I & II ADVANCED MATHS TEST - I PRELIMS Max. Marks : 75 Duration : 75 Mins. General Instructions : 1. Please find the Answer Sheets (OMR) with in the envelop
More information4 = 9 4 = = 2 = = 2 8 = = = 11 = = 4 2 = = = 17 = 9 15 = = = = 4 = 5 20 = = = 2 1
Name MENTAL MATHS Addition & Subtraction Multiplication 9 9 9 0 9 + = = = = = + = = = = = + = = 9 = 9 = = + 9 = = = 0 = = + = = 9 = = = Number & place value Write the answer. Then write the turnaround
More informationFor math conventions used on the GRE, refer to this link:
GRE Review ISU Student Success Center Quantitative Workshop One Quantitative Section: Overview Your test will include either two or three 35-minute quantitative sections. There will be 20 questions in
More informationPre RMO Exam Paper Solution:
Paper Solution:. How many positive integers less than 000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3? Sum of Digits Drivable
More informationStudent s Name Course Name Mathematics Grade 7. General Outcome: Develop number sense. Strand: Number. R D C Changed Outcome/achievement indicator
Strand: Number Specific Outcomes It is expected that students will: 1. Determine and explain why a number is divisible by 2, 3, 4, 5, 6, 8, 9 or 10, and why a number cannot be divided by 0. [C, R] 2. Demonstrate
More informationState Math Contest (Junior)
Name: Student ID: State Math Contest (Junior) Instructions: Do not turn this page until your proctor tells you. Enter your name, grade, and school information following the instructions given by your proctor.
More informationMadison County Schools Suggested 4 th Grade Math Pacing Guide,
Madison County Schools Suggested 4 th Grade Math Pacing Guide, 2016 2017 The following Standards have changes from the 2015-16 MS College- and Career-Readiness Standards: Significant Changes (ex: change
More informationParallelograms (page 368)
LESSON 71 Parallelograms (page 368) Name A parallelogram has two pairs of opposite, parallel sides. The opposite angles of a parallelogram have equal measures. The adjacent angles of a parallelogram are
More informationGlossary 13, 14, 15 24, 26, dimensional (2-D) balance. bar line chart. 3-dimensional (3-D) capacity. Celsius. commutative.
5 Glossary 2-dimensional (2-D) B circle right-angled equilateral isosceles square balance Things are balanced when both sides have equal value, e.g. 3 + 4 = 2 + 5 and 1000 g = 1 kg. 3-dimensional (3-D)
More informationReading and Writing Decimal Numbers (page 221)
LESSON Name 31 Reading and Writing Decimal Numbers (page 221) To read the decimal number 123.123: We say and for the decimal point. One hundred twenty-three and one hundred twenty-three thousandths We
More information