2018/20191) the length of the diagonals of a rhombus are 6cm , 4cm . calculate its area calculate...
TRANSCRIPT
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2018/2019
Supervisor of mathematics
Mrs. Maha Ahmed
The vision of the school: Distinct Environment for Refined Education
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Sheet 1
[1] Underline the natural numbers from the following numbers:-
8 , 0 , 7
14 , 0.77 , 6352 , 99.0 ,
2
13
2) Write by listing method :
a) N
b) O
c) E
d) P
2)Complete :
a) E - O = .........
b) N - E = ..........
c)P E = ............
d) N P=...........
3)Complete by : , , ,
a) 2 ................N
b) {0} .............N
c) 7.2 ............N
d) {3 , 4 , 5 ,........,30} ...............N
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4)Write the set of :
a) Set of natural numbers not less than 12
.............................................................................................................
b) The set of natural numbers greater than 46
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c) The set of natural numbers equal to or greater than 9
...............................................................................................................
5) Complete :
a) The smallest natural number is ………….
b) The smallest counting number is …………
c)The set of natural numbers less than 5 is ………….
d)Natural numbers counting numbers = ……
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Sheet 2
[1] Use the number line to represent the following:-
a) X= {1,2, 3 }
b) Y= {5,7 ,9 }
c) The set of odd numbers
d) The set of prime numbers less than 10
2)Complete :
a) The smallest counting number is ........
b) The greatest 2 digit natural number is ............
c) The set of natural number between 40 and 41 = .........
d) The set of counting numbers less than 5 = ..........
e) The number which lies to the right of 6 directly on the number line is ……
f) If a lies to the left of b directly on the number line , then a …… b
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Sheet 3
1) Complete :
a) 149 + 673 = 673 + .................... ( ................. property )
b) a + ............= b + ................ (....................property)
c) ( .........+x) + y = Z + ( .............+ ..........) ( ................. property)
d) 18 + .........= 0 + ............= 18 ( ................. property)
e) The additive neutral element in N is …………………
f) The sum of any two odd number is ………..
2) Use the properties of addition in N to find and state the name of each property :
a) 637 + 145 + 362 + 155
……………………………………………………………………………………………………………………………………
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b) 455 + 80 + 545
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Sheet 4
1) Complete :
a) a x1 = 1 x.......= a ( ................ property )
b) If 9 x 13 = 13 x X then X = ...................
c) ( ...........x 10 ) x 5 = 20 x ( 10 x ............. ) ( ................. property )
d) 32x 9 + 32 x 6 = ...........x ( .......+ ............)
e ) If 3 x 98 = ( X x 8 ) + (X x 90 ) then X = ...........
2) Choose the right answer :
a) ( 8+6) ÷2= ................. (8 , 7 , 6 , 2 )
b) 27 x 19 + 73 x19 = .............x 19 ( 10 , 100 , 27 , 73 )
c) =............. ( 0 , 6 , 3 , has no meaning )
3) Use the properties to find :
a) 2 x 347 x 5
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b) 8 x 75 x 125
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Sheet 5
1) If a = 1 , b = 12 , c = 3 Find :
a) 3a + 2 b
…………………………………………………………………………………………………….
b) ( b÷ c) x a
………………………………………………………………………………………………………….
c) abc
……………………………………………………………………………………………………………………………
2) Arrange in ascending order :
( 5x12 ) ÷ 20 , the additive neutral element , ( 5x6-5x5 ) , the multiplicative
neutral element
…………………… , ………………….. , …………………. , ……………
3) Complete in the same pattern :
a)12 , 10 , 8 , 6 , .......... , ............
b) 1, 2 , 4 , 7 , ............ , ............
c) 7 , 77 , 777 , 7777 , ................ ,.............
d) 1, 4 , 9 , 16 , ............... , .....................
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Revision on unit 1
1) Choose the right answer :
a) The number of classes in your school ………. N ( , , , )
b) The smallest counting number is ……………… ( 0 , 1 , 2 , 3)
c) N - E = ……………… ( N , C , 0 , E )
d) The number which lies to the right of 10 directly on the number line is … ( 9 , 11)
e) 15 - ( 3 X 6 ÷2 +1 ) = ………………….. ( 3 , 5 , 9 , 10 )
f) The smallest prime number x another prime number is ….. number
( prime , odd , even )
g) The next number in the pattern 200 , 185 , 170 is …. ( 175 , 165 , 155 , 145 )
2) Use the properties to find :
a) 87 x 82 + 18 x 87
…………………………………………………………………………………………………………………………
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b) 25 x 250 x 4
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3) Complete :
a) ( a x b ) x c = a x ( b x c) is called …………………… property
b) If x ={ x : N , 3< X < 4 } then x = ……………………….
c) If 86 x 15 = 86 x y = 86 x 10 then y = …………………….
d) N – counting numbers = …………………
e) 35 + ( ….. + 17 ) = ( 35 + 24 ) + 17
f) If x is an odd number then x + 2 is ……… number
4) The greatest number of four consecutive natural number is x + 9
Find the three others numbers
……………………………………………………………………………………………………………………………
5) Use the distributive property to find :
88 x 102
………………………………………………………………………………………………………………………………
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Sheet 6
a) Add 8 to the number x
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b) Multiply 7 by the number z
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c) Subtract 10 from the number y
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d) Quotient of a number h by x
..........................................................................................................................
e) Five seventh a number a
.........................................................................................................................
f) Twenty divided by a number b
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g ) Six less than a number y
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2) Write each symbolic expression in words:
a) 9-y
.........................................................................................................................
b) 8x
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c) c + 4
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3) Choose the right answer :
a) If the sum of two numbers x and y is 60 then y = ............
( 60+x , 60 - x , x - 60 , x÷ 60 )
b) If the product of two numbers x and y is 10 then y = ..............
( 10x , x + 10 , x÷10 , 10÷x )
c) x and y are two numbers the greater number is 4 more than the other , if the
smaller number is y then x = ...............
( 4 y , y - 4 , y +4 , y ÷4 )
d) The perimeter of a rectangle is 16 cm if its length = x cm , then its width =
.....................
( 16 - x , 16 + x , 8 - x , 8 + x )
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Sheet 7
1) Solve the equations :
a) 4 + y= 7
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b) 6a = 48
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c) 70 - m = 17
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d) k ÷5 = 35
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e) 2 x + 10 = 40
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2) Translate each verbal statement into an equation :
a) Three times of a number k is 12
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b) The sum of the number x and 6 is 9
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c) If 8 is subtracted from a number then the result is 42
...................................................................................................................
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d) 11 is 5 more than twice the number x
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e) Product of the number x and 3 is 21
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f) Sum of the number x and 5 is 11
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g ) 9 is 18 less than the number b
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3)Complete each of the following :
a) If x + 2 = 5 then x = ………..
b) If a – 3 = 1 then a = ………….
c) If 2b = 8 then b = ……………
d) If m ÷ 2 = 3 then m = ………
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Revision on unit 2
1) Complete :
a) The symbolic expression for adding 3 to the number x is …………………….
b) If the difference between two numbers is 5 and the smaller is y then the greater
is ……………………
c) If x -1 = 8 , x N , then x = ………………
d) If x + 5 = 12 , then x = ………………
e) If the product of two numbers a and b is 30 , then b = ………………
f) If 78 = 8 = y x 10 then y = …………………
g) Subtract 20 from twice the number z= ……………………………
2) Solve the following equations :
a) 5 x – 7 = 33
………………………………………………………………………………………………………………………
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b) n÷2 + 20 = 46
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Sheet 8
1) Complete :
a) The area of the triangle = ........... x ............. x ................
b) If the length of the base of a triangle = 6 cm and its corresponding height = 4 cm
then the area of this triangle = .............. cm 2
c) If the area of a triangle = 120 cm 2 and its height = 0.4dm then the base length =
.............. cm
d)If the perimeter of an equilateral triangle = 33 cm , and its height = 8.7 cm
then the area of this triangle = ........... cm 2
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2) Find the area of each :
2cm
5 cm
10 cm
3cm
4 cm
6 cm
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Sheet 9
1) Find the area of a parallelogram of side length 4 cm and height 7cm
……………………………………………………………………………………………………..
2) ABCD is a parallelogram with area 180 cm2 , if AB = 60 cm , CD =45 cm find the
smallest height
…………………………………………………………………………………………………….
3) In the opposite figure :
ABCD is a parallelogram , AD = 15 cm , CD= 10 cm ,DF = 8 cm
DE is perpendicular on AB D C
Find the length of DE F
A E B
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4) Which is large in area a land in the shape of parallelogram of base length 8
cm and height 6.7 cm or a land in the shape of triangle with base length
5cm height 4.2
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Sheet 10
1) Find the area of a square of side length 8 cm
…………………………………………………………….……………………………………………………..
2) Find the area of a square of perimeter 24 cm
………………………………………………………………………………………………………………………
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3) Find the area of a square with diagonal 7 cm
……………………………………………………………………..……………………………………………
4) Find the area of shaded part : if ABCD is a rectangle , XYZL is a square with
diagonal 3 cm
A B
7cm
D C
12 cm
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X y
L Z
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Sheet 11
1) The length of the diagonals of a rhombus are 6cm , 4cm . Calculate its area
…………………………………………………………………………………………………………………………
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2) The length of the diagonals of a rhombus are 10cm , 14 cm and its height is 7
cm . Calculate its side length.
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3) The side length of a rhombus is 6cm, its height is 7.6 cm and the length of one
of its diagonal is 10cm . Calculate the length of the other diagonal
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4) If the perimeter of a rhombus is 28 cm and the area =30 cm 2
Find its height
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Sheet 12
1) Find the circumference of the circle if :
a) The radius = 4.5 cm
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b) The diameter = 8 cm
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2) Complete :
a) If the circumference of a circle is 10 cm , then the radius = ……………….. cm
b) If half circumference of a circle = 25.12 cm ,then the radius =
……cm
c) If the circumference of a circle = 44 cm then the diameter = ……… cm
[3] The radius of the tyre of Ahmed’s bicycle is 21 cm. Find the distance covered
when the tyre of the bicycle makes 5 complete rotations
………………………………………………………………………………………………………………………
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Sheet 13
Find the perimeter of the following figures
4 cm 8cm
3 cm 4cm
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9cm
12 cm
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5cm
6 cm
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Sheet 14
Describe the type of each geometric transformation:
…………………….. ………………………………………
b d
…………….………. …………………
…………………………………………… ……………………………………..
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Revision on unit 3
1) Complete :
a) The area of a triangle whose base length 6cm and corresponding height 5 cm =
………………………………………………………………………………………………………
b) If the longest chord pf a circle is 28 cm , then the circumference =
……………………………………………………………………………………………………………………………
c) If the area of a rhombus is 16 cm2 , the length of one diagonal is 4 cm , then the
length of the other diagonal =
…………………………………………………………………………………………………………………………..
d) The length of the diagonal of the square whose area 50 cm2 =
……………………………………………………………………………………………………………………………
e) The circumference of a circle is 314 cm . then the radius =
……………………………………………………………………………………………………………………………….
f) The square of perimeter 32 cm , its area =
………………………………………………………………………………………………………………….
g)The diagonal whose are is 24 cm2 and height 8 cm , its corresponding base =
………………………………………………………………………………………………………….
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2) In the opposite figure :
ABCD is a parallelogram in which AB= 10 cm ,DE=12 cm , DF=8 cm
Find : D A
The area of ABCD and the length of BC
C B E
F B
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Sheet 15
1)Plot the following points :
A ( 2 , 3 ) , B ( 3 , 5 ) , C ( 5 , 3 )
Then find the image of the triangle ABC by reflection in the ray AC
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2) In the Cartesian coordinates plane locate: the points A (1 ,2 ) , B ( 1 , 5 )
C ( 4 , 5 ) , D ( 4 , 2 )
1) What is the name of the figure ABCD?
2)How many lines of symmetry of this figure ?
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3)Complete the table , represent it by pie chart
Heba Nada Mariam Mother
Quarter …………….. Third Half
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4)Represent the following distribution by frequency polygon :
16- 12- 8- 4- 0- Sets
5 12 10 6 Frequency
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Revision 1
1) Complete :
a) 3 , 9 , 27 , ………………….
b) The circumference of a circle with radius 7 cm =
……………………………………………………………………………………………………………………………
c)The area of the square whose diagonal length is 10 cm =
…………………………………………………………………………………………………………………. cm2
d) If 2X= 6 , then X = ……………………………
e) The smallest natural number is ………………….
f) The rhombus with diagonals 6 cm , 8 cm its area =
…………………………………………………………………………………………………………………….. cm 2
g) The area of the triangle = ……………………………………………..
h) The sum of any two odd numbers is an ……………………… number
I) 43 + 59 = …………… + 43
j) 4 x ( 2+5) = (4x2 ) + ( ….x 5 ) is called ……………….. property
k)The rectangle has ………….. lines of symmetry , but the square has ………….. lines of
symmetry
2) Choose the right answer :
a) The sum of two natural numbers ………….N
b) The opposite transformation is ……………
(reflection , translation , rotation )
c) E U O = ………………..
( N , C , E )
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d) If a lies to the right of b on the number line then a …………. B ( < , > , = )
e) 14 ÷ 3 ………………N ( )
f) Subtracting 4 from the double of the number a = ……………………
( a - 4 , 4 - a , 2a - 4 , 4a -2 )
g) If X+7 = 19 , X N , then X= …………….. (26 , 12 , 11 , 13 )
h) If O is the set of odd numbers , then O …… N
I) The number of lines of symmetry of the rhombus = …………….. ( 0 , 1 , 2 , 3 , )
3)An employee spends his monthly salary as follows 1000 L.E for food , 500L.E for
clothes , 250 L.E for the rent of his flat and the rest for other expenses
Represent these data by circular sectors
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4)In the opposite figure :
There is a window in the form of square with side length 70 cm and above it there is
a semi circle
Calculate :a) the perimeter of the window
b) If the area of the window is 6825 cm2 ,find the area of the semi circle
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5)Solve the equation :
5X – 7 = 33
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6)By using the distribution property :
Find 587x 1001
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Revision 2
1)Complete :
a) The smallest number in N is ………………….
b) For any natural numbers a , b ,and c : ( a x b ) x c = a x ( b x c ) is called
………………………………….. property
c) The set of the natural numbers which are more than 4 and less than 5 is …………….
d) The value of 2x + 5 when x = 2 is …………………………………………….
e)The rhombus of area 42 cm2 and the length of on of its diagonal 6 cm , then the
length of the other diagonal = ………………………………………………………….. cm
f) If x is an odd number , then x +1 is …………………………. number
g) 213 x 57 = 57 x ……………… ( …………………. Property )
h) Adding 5 to twice the number x = ………………………..
i) If the ordered pair ( 2 , 5 ) = ( 2 , x ) then x = …………….
j)The value of 2x + 5 where x = 2 is ……………………
k)The least natural number is …………….
l) The number of axes of symmetry of an equilateral triangle = ………………
2)Arrange in ascending order :
( 7 x 10 ) , (2+3)x5 , (35-0) , the additive neutral element
……………………………. , ………………………… , ………………….. , ………………….
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3 ) If a = 1 , b = 12 , c = 3
Find the value of ( b ÷ c) x a
……………………………………………………………………………………………………………………………….
4)Using the properties in N , find the value of and state the name of each property:
612 + 154 + 88 + 846
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5)Draw the triangle ABC where A( 2 , 5 ) , B( 5 , 2 ) , C ( 5 , 8 )
The find its image by reflection across BC
6) ABCD is a parallelogram in which AD = 24 cm, E is the mid point of AD
The area of the triangle ABE = 60 cm 2
Find the area of the parallelogram ABCD D E A
Find the area of the figure EBCD
C B
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7)Choose the right answer :
a) If O is the set of odd numbers then O ……N
b)The length of the base of a triangle with area 120 cm2 and height 5 cm = …………..
( 12 , 48 , 24 , 6 )
c)The number of lines of symmetry of the rhombus = …………… ( 0 , 1 , 2 , 4 )
d)The perimeter of a square of side length x cm = ……………. ( 4 + x , x -4 , 4x , x ÷4)
e) ( 8x 3 ) x 5 = ………x (3x5) ( 3 , 5 , 8 , 35 )
f) If A = ( 2 ,1 ) , B (2 , 3 ) , then the coordinates of the mid point of AB = …………
((3 , 2 ) , ( 2 ,2 ) , (3 , 3 ) )
g) If 75 = 5 + y x 10 , then y = ……………… ( 5 , 6 , 7 , 10 )
h) E - O = …………… ( O , N , E )
I) The area of the rhombus whose diagonals 6 cm , 8 cm = ……………… cm2
( 26 , 24 , 48 , 14 )
8) Write by listing method :
N= …………………………………………………….
O=……………………………………………………
E=………………………………………………………
P=………………………………………………
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9)Write the symbolic expressions of each :
a) Adding 1 to three times the number X
……………………………………………………………….
b) Subtracting 5 from half the number Y
………………………………………………………………..
c)Multiply 9 by the number Z then adding the result to 6
………………………………………………………………
10) A farm has an area of 24 feddans planted with fruits , vegetables, flowers and
palm trees and it is represented by the opposite figure :
Complete :
a) The area planted with vegetables is 12 feddans and it is represented by the
……. Colour
b) The green sector represents the area planted with fruit and it has an area of
………………… feddans
c) The area planted with flowers = the area planted with palm trees = … feddans
Green yellow
blue
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11)In the opposite figure:
ABDE is a rectangle , find the area of the triangle ABC
6.5 cm
E A
3.2 cm
D B
2 cm C
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12) If a= 1 , b = 2 c = 3
Find the value of 5a +8b -2c
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Saint Fatima Lang. Schools second term exam 2018
Heliopolis Math (Grade:5) Time : 1 hours
1)Choose the right answer :
a) 231 + 87 = 87 + 231 ( ………….. property )
( associative , commutative , closure , neutral additive element )
b) The number of symmetrical lines in a rectangle = ………… ( 0 , 1 , 2 , 4 )
c)The area of the square with diagonal length 6 cm = …. cm2 ( 36 , 18 , 8 , 12 )
d)Four less than half the number x = ……. ( x - 4 , x + 4 , 4 - x , 4x - )
e) (4 x 31 ) x 25 = (31x ….) x 25 ( 2 , 4 , 3 , 25 )
f) If the area of a rhombus = 90 cm2 , length of the base = 9 cm , then the height =
………….cm ( 10 , 810 , 405 , 9 )
g) If the radius length of a circle is 20 cm , then the circumference = ………… cm
(10 , 20 , 40 , 80 )
h) the fraction representing the shaded part of the circle is between…….
((0 and ) , ( and ) , ( and ) , ( and 1)
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i) The set of even numbers is beginning from ……. ( 0 , 1 , 2 , 3 )
J) The base length of a triangle = 5cm , its height = 6 cm , then the area = ….. cm2
( 30 , 15 , 25 , 36 )
K) ……. N ( , , )
L) The following transformation is ………… ( reflection , rotation , translation )
m)The area of the rhombus whose diagonals lengths are 12 , 16 cm = …..cm2
( 56 , 28 , 96 , 192 )
n) The following table shows the recorded temperature in 40 cities in a day , then
the number of cities with temperature less than 24 = …….. ( 9 , 16 , 20 , 27 )
Total 28- 26- 24- 22- 20- Temperature
40 5 8 11 9 7 Number of
cities
2) Complete :
a) Add 4 to twice the number x = ……….
b) The multiplicative identity element in N is ……
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c) The set of even numbers the set of prime numbers =…….
d)The counting numbers less than 3 are ……….
e) The area of the parallelogram with base length 10 cm , height 6.3 cm = ….cm2
3a)Use the distribution to find the result of :
45 x 99
……………………………………………………………………………………………………………………………………
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3b) Solve the following equation :
9 + y = 44
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………………………………………………………………………………………………………………..…………
4) Complete :
On the coordinate plane , If L is the axis of reflection for the square ABCD
Draw the image of this square in the straight line L a)
b)The perimeter of ABCD= ….cm
c) The area of ABCD = …… cm2
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5a)Complete the following frequency polygon :
30- 20- 10- 0-
15 20 10 5
5b)In the opposite figure :
ABCD is a rectangle of area 32 cm 2 , EC = 5 cm
Find the area of AECD
A D
4cm
B E C
……………………………………………………………………………………………………………………………………
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RULES
Notes :
A= area , h = height , b = base length , d = diagonal
S = side length , L = Length , W = width , P= perimeter
1-Triangle :
A= x b x h , b = , H =
2-Parallelogram:
A= b x h , b = , H =
3-Rhombus :
A = b x h or x d 1 x d 2
b= A ÷ h , h= A ÷ b
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4-Square :
P = S x 4 , S = P ÷ 4
A = S x S , S =
Or
A = x d x d , d =
5-Rectangle :
P = ( L + W ) X 2 , L = P ÷ 2 – W , W = P ÷ 2 = L
A = L x W , L = A ÷ W , W = A ÷ L
6- – Circle:
Circumference = Diameter x
=2 x Radius x
Diameter = Circumference ÷
Radius = circumference ÷ ÷ 2