5th Math Revision

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    (1)Complete:-

    1) 0 C 2) lN

    3) {3 , 5} N 4) { 0 } N

    5) {2 , 3} {4 , 5} N 6) {1 , 3} {2 , 4} N

    7) N 8) (3 + 7) N

    9) (8 10) N 10) N

    11) C . N 12) 7 2 N

    13) (28 6) N 14) The smallest natranl number N

    15) (3 + ) N 16) (7 X 3 3 X 7) N

    17) (7 X 2 7 X 5 ) N 18) X 0 N

    (2) Find by using properties of operation:

    1) 872 + 199 + 128 + 801 =

    2) 25 X 9892 X 4 =

    3) 304 X 1001 =

    4) (53 + 46 + 47 + 54) X 70 =

    5) (5 x 2025 X 100) X 70 =

    6) 524 x 98 =

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    (3) Complete :

    1) If A N , B N then A x B N

    2) If X = {X : X N , 1 X < 5 } x =

    3) IF A , B , c is (A x B) X C = A x (B X c)

    4) The additive neutral in w is . & the multiplicative neutral N is

    5) 9 X 13 = 13 X x X =

    6) 7 X 0 = =

    7) Area of square = X X

    4) Write using listing method and represent on the number line:

    1) X = { a : a N , a 3 }

    2) Y = { a N , a 2 , a 5 }

    3) Z { a : a N , a > 6 }

    4) X = { a : a N , 0 < a < 4 }

    5) X = { x : x l , 3 x < 8}

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    5) Solve the following equations :

    1) X + 3 = 12 X =

    2) 22 + X = 9 + 22 X =

    3) 7X = 117 x 7 X =

    4) 482 = (4 XX) + (8 X 10) + 2 X =

    5) 2 X + 9 = 21 X =

    6) 20 y = 16 , y =

    7) h 5 = 3 , h =

    8) 3x 4 = 17 , x =

    5) Form an equation in each in the following cases :

    a) a number which is added to 17 the result will be 28 .

    b) If we subtracted 5 from there times a number the result will be 16.

    c) Hatem bought 3 books , the price of each one is L.E X , he gave the salesman L.E

    20 and the rest were L.E 5 write the equation and solve it.

    d) If what with Ahmed is L.E x , and what with Samer is L.E 10 , and the sum of what

    with Samer and twice what with Ahmed is L.E 24. Write the equation and find the

    value of x .

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    e) if x is a natural number and three times it exceeds the multiplicative identity by 8

    write the equation and find the value of x .

    7) Express each of the following in symbols

    1. Subtract 8 from a number

    2. Half a number added to 4 .

    3. Two numbers, the difference between then 7 and the smallest one is Y , then what

    is the biggest one

    8) ABC is a right angled triangle in B , in which AB = 6 cm , BC = 8 cm , and AC =

    10 cm Find the area of the triangle and if BD AC Find D .

    9) Find the area of each of the following figures:

    12 cm

    7 cm8cm 4 cm

    2.5 cm

    A

    3.4 cmC

    15 cm

    B

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    10) :

    A) Find the area of triangle ABC .

    B) Find BD

    11) Find :

    a) The area ofABCD = 18 cm2

    b) The length of DM = 4 cm ..

    12) From the opposite figure:

    a) Find the area of the parallelogram ABCD.

    b) Find BC

    3) Complete:

    a) The diagonal length in a square is 6 cm then the area of the square is ..

    b)The diagonals length in a rhombus are 3 cm and 5.4 cm then its area is .

    c) The diagonals length in a rhombus are 24 mm and 3 cm , then its area is

    d) If BM = 5c m

    then BD = .. cm

    and area of square ABCD = . Cm2

    A

    BC E

    7cm

    14cm

    12cm

    B

    AD

    C Y

    M

    3cm4.5 cm

    6cm

    D A

    L

    BC

    M 2.8 cm

    5 cm3.5 cm

    5cm

    A

    BD

    C

    M

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    e) lN E = .

    f) O P = .

    g) E iN = .

    h) E O = .

    I) If the area of a rhombus is 4.6 cm2 and one of its diagonals is 2.3 cm then the

    other ion is .. cm .

    j) area of rectangle = ..

    area of square = ..

    area of the shaded part = ..

    the circumference of a circle with

    k) diameter x cm is cm

    l) the circumference of a circle with the greatest chord in it is 7 cm is

    cm , ( = )

    A

    BC

    D

    2cm10cm

    5.2cm

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    Sheet (2)

    1) Ahmed and Hanan bought a pizza for L.E 24 where Ahmed paid L.E 12 and

    Mohamed L.E 8 and Hanan paid the rest the pizza divided on then aseach one

    paid represent it by pie chart.

    2) A man spent his money as follows:

    L.E 200 on buying clothes.

    L.E 800 on food

    L.E 400 on transportation

    L.E 200 on renting a home

    Represent them by pie chart

    3) The following table represent the number of students sharing in

    sport Activity represent this data by pie chart.

    Sport Football Basketball Volleyball

    Number 20 10 10

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    4) The farm area 24 feedans was planted with fruit , vegetable flowers and palm

    If the following figure represent this farm

    Complete:

    a) The colour represent the region of vegetable which is 12

    feddens .

    b) The green sector represent fruit so, its feddans

    c) The region of flower = the region of palm = feddans.

    The following data shows the marks of 32 students in Mathmates

    examination:

    25 30 38 41 47 48 50 32

    37 46 48 26 38 40 42 30

    47 49 48 39 37 40 50 35

    44 36 40 41 42 35 45 36

    1) Complete : - The min =

    - The maxmum =

    2) Draw : a) the frequency his to gram

    b) the frequency polygon

    greenred

    blue

    yellow

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    The following frequency table shows the marks of 50 students in the

    exam , draw the frequency polygon

    Sets - 10 - 20 - 30 - 40 Total

    Freq 10 12 18 10 50

    The following frequency table shows the degree of 40 cities:

    The degree - 20 - 22 -24 -26 -28 Total

    The cities 7 9 11 8 5 40

    Draw the frequency polygon.

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    (1)Complete:-1) 0 C 2) .. ..

    3) {3 , 5} N 4) { 0 } . . N

    5) {2 , 3} {4 , 5} N 6) {1 , 3} {2 , 4} N

    7) N 8) (3 + 7) N

    9) (810) N 10) N

    11) C .. N 12) 72 N

    13) (28 6) N 14) The smallest natranl number N

    15) (3 + ) N 16) (7 X 33 X 7) N

    17) (7 X 27 X 5 ) N 18) X 0 N

    (2) Find by using properties of operation:

    1) 872 + 199 + 128 + 801 =

    2) 25 X 9892 X 4 =

    3) 304 X 1001 =

    4) (53 + 46 + 47 + 54) X 70 =

    5) (5 x 2025 X 100) X 70 =

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    6) 524 x 98 = 524 X (100 2) = (524 X 100) (524 X 2) distribution

    = 52400 1098 = 51352

    (3) Complete :

    1) If A N , B N then A x B . . N

    2) If X = {X : X

    N , 1X < 5 } x = { 1 , 2 , 3 , 4 }

    3) IF A , B , c is (A x B) X C = A x (B X c)

    4) The additive neutral in w is . & the multiplicative neutral N is

    5) 9 X 13 = 13 X x X = 9.

    6) 7 X 0 = = ..0

    4) Write using listing method and represent on the number line:

    1) X = { A : A N , A 3 } { 3 , 4 , 5 , . }

    2) Y = { A N , A 2 , A 5 } { 2 , 3 , 4 , 5 }

    3) Z { A : A N , A > 6 } {7 , 8 , .}

    4) X = { A : A N , 0 < A < 4 }

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    5) Solve the following equations :

    1) X + 3 = 12 X = 9

    2) 22 + X = 9 + 22 X = 9

    3) 7X = 117 x 7 X = 117

    4) 482 = (4 XX) + (8 X 10) + 2 X = 100

    5) 2 X + 9 = 21 X = 6

    5) Form an equation in each in the following cases :

    a) a number which is added to 17 the result will be 28 .

    b) If we subtracted 5 from there times a number the result will be 16.

    7) Express each of the following in symbols

    1. A number subtracted 8 from it subtract 8 from a number (X 8)

    2. Half a number added to 4 . ( X + 4)

    3. Two numbers, the difference between then 7 and the smallest one is Y , then what

    is the biggest one (Y = 16 X )

    8) ABC is a right angled triangle in B , in which AB = 6 cm , BC = 8 cm , and AC =

    10 cm Find the area of the triangle and if BD AC Find D .

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    9) Find the area of each of the following figures:

    10) :

    A) Find the area of triangle ABC .

    B) Find BD

    11) Find :

    a) The area of ABCD = 18 cm2

    b) The length of DM = 4 cm ..

    12) From the opposite figure:

    a) Find the area of the parallelogram ABCD.

    b) Find BC

    12 cm

    7 cm8cm 4 cm

    2.5 cm

    A

    3.4 cmC

    15 cm

    B

    A

    BC E

    7cm

    14cm

    12cm

    B

    AD

    C Y

    M

    3cm4.5 cm

    6cm

    D A

    L

    BC

    M 2.8 cm

    5 cm3.5 cm

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    3) Complete:

    a) The diagonal length in a square is 6 cm then the area of the square is ..

    b)The diagonals length in a rhombus are 3 cm and 5.4 cm then its area is .

    c) The diagonals length in a rhombus are 24 mm and 3 cm , then its area is

    d) If BM = 5c m

    then BD = .. cm

    and area of square ABCD = . Cm2

    e) lN E = .

    f) O P = .

    g) E iN = .

    h) E O = .

    I) If the area of arhombus is 4.6 cm2 and one of its diagonals is 2.3 cm then the

    other ion is .. cm .

    j) area of rectangle = ..

    area of square = ..

    area of the shaded part = ..

    5cm

    A

    BD

    C

    M

    A

    BC

    D

    2cm10cm

    5.2cm

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