2015/2016
Supervisor of mathematics
Mrs. Maha Ahmed
Sheet 1
[1] Underline the natural numbers from the following numbers:-
8 , 0 , , 0.77 , 6352 , 99 ,
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[2] Mark (√ ) or( ×):-
a) N – C = {0 } ( )
b) N ( )
c) {0} N ( )
d) 55.4 N ( )
e) There are only one natural number between 75 and 78 ( )
f) The natural number between is 6 ( )
g) The set of natural numbers is a finite set ( )
h) Weight of an object in Kg ( )
3)Complete ( E= set of even number , O= set of odd number , P= set of prime number
a) E - O = ......
b) N - E = ......
c) P E = ......
d) N P=......
e) N C=………..
4)Complete by : , , , :
a) 2 ...... N
b) {0} ...... N
c) 7.2 ...... N
d) {3 , 4 , 5 ,...... ,30} ...... N
Sheet 2
1)Write the set of :
a) Set of natural numbers not less than 12
......
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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
......
[2] Use the number line to represent the following:-
a) X= {1,2, 3 }
b) Y={a:a N , 2 ≤ a ≤ 5 }
c) The set of odd numbers
d) The set of prime numbers less than 10
3)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) If x is a natural number , then the three consecutive natural numbers are ……………. , ………………… , ………………..
f) If x is an odd number then x-1 is ……………. Number
g) If a lies to the left of b on the number line then a ………. b
Sheet 3
1- Put < ,>, =:
a) x + 19 ...... x + 20 where x N
b) Y ...... 18 where Y {20 , 21 , 22, 23 , 24 }
c) x - 14 ...... x - 15 where x is a natural number greater than 20
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2) The greatest number of 4 consecutive natural number is x + 10
Find the three other numbers
......
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3) The middle number of 3 consecutive odd number is Y
Find the two other numbers
......
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4) Find the ascending order of 4 , 2 , 5 , 0 and represent them on a number line
......
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Sheet 4
1) Use the number line to find:
a) 4 + 2 = ......
b) 7-5 = ......
c) 2 + 5 +1 = ......
d) 3 +5-1= ......
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2) Complete :
a) 149 + 673 = 673 + ...... ( ...... property )
b) a + ...... = b + ...... (...... property)
c) ( ...... +x) + y = Z + ( ...... + ...... ) ( ...... property)
d) 18 + ...... = 0 + ...... = 18 ( ...... property)
e) ( 40 + 20 ) + ...... = 30 +( 40 + ...... ) ( ...... property)
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3) Mark √ or x :
a) The set of natural numbers is closed under addition ( )
b) The difference between any two natural numbers N ( )
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Sheet 5
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
......
b) 8 x 75 x 125
......
Sheet 6
1-Complete :
a) 2 × ...... = ......
b) ...... × ...... = ......
c) .... × .... = ....
d) .... × .... = ....
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[2] Find the numbers that will make the following statements true, and state the name of each property
a) (6 × 8) × ...... = 6 × (8 × 3)
b) 9 × (3 + ...... ) = 9 × 3 +9 × 2
c) 21 × (7 + 5) = 21 × ...... +...... ×......
[3] Which of the following statements are true :-
a) 36 ÷ 3 = 3 ÷ 36 ( )
b) (80 ÷ 8) ÷ 2 = 80 ÷ (8 ÷2) ( )
c) (39 ÷2) N ( )
d) (77 ÷7) N ( )
[4] Name the property of addition and multiplication :
a) 9 × 3 = 3 × 9
......
b) (15 + 3) + 20 =15+ (3 + 20)
......
c) 11 + 5 = 5 + 11
......
d) 7 × (5 × 2) = (7 × 5) × 2
......
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5) C0mplete in the same pattern :
a)12 , 10 , 8 , 6 , ...... , ......
b) 1, 2 , 4 , 7 , ...... , ......
c) 7 , 77 , 777 , 7777 , ...... ,......
d) 1, 4 , 9 , 16 , ...... , ......
Sheet 7
1) Complete using a suitable symbolic expression :
a) Add 8 to the number x
......
b) Multiply 7 by the number z
......
c) Subtract 10 from the number y
......
d) Quotient of a number h by x
......
e) Five seventh a number a
......
f) Twenty divided by a number b
......
g ) Six less than a number y
......
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2) Write each symbolic expression in words:
a) 9-y
......
b) 8x
......
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 8
1) Solve the equations :
a) 4 + y= 7
......
b) 6a = 48
......
c) 70 - m = 17
......
d) k ÷5 = 35
......
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
......
b) The sum of the number x and 6 is 9
......
c) If 8 is subtracted from a number then the result is 42
......
d) 11 is 5 more than twice the number x
......
e) Product of the number x and 3 is 21
......
f) Sum of the number x and 5 is 11
......
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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Sheet 9
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
......
Sheet 10
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
………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….
Sheet 11
1) Find the area of a square of side length 8 cm
……………………………………………………………………………………………..
2) Find the area of a square of perimeter 24 cm
……………………………………………………………………………………………………………………………………………………………………………………………………………………
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
……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………..
Sheet 12
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.
…………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….
______
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
………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….
4) If the perimeter of a rhombus is 28 cm and the area =30 cm 2
Find its height
…………………………………………………………………………………………………………………………………………………………………………………………………………………………
Sheet 13
1) Find the circumference of the circle if :
a) The radius = 4.5 cm
……………………………………………………………………………………………..
b) The diameter = 8 cm
……………………………………………………………………………………………
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
………………………………………………………………………………………………………………………………………………………………………………………………………………
Sheet 14
Find the perimeter of the following figures
4 cm 8cm
3 cm 4cm
……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………
9cm
12 cm
…………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………..
Sheet 15
Describe the type of each geometric transformation:
………………………………………. …………………………………..
b d
……………………………………………. ……………………………………
……………………………………………………… ………………………………………
St .Fatima Lang .Schools Mid-term exam (2nd term 2012)
Heliopolis Math Primary 5
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1-Complete :
a)The set of natural numbers less than 4=………………….
b) The diameter of a circle equals 7 cm then the circumference equals ……….cm (
c) 2 , 4 , 6 , …………. , …………….
d) ( 12 + 30 ) + ………. = ……. + ( 30 + 15 )
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2- choose the right answer :
a)7 x 9 = 9 x 7 ( …….. property )
( closure , associative , commutative )
Where answer not=0 b) X – Y is possible when X ……. Y
( < , > , = )
……N C)
(
d) if Z ÷6 = 72 then Z =
( 12 , 79 , 66 , 432 )
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3a)Use the properties of addition to find :
234 + 109 + 116 +401=
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b)solve the followings equations :
a) X + 25 = 38
b) Y – 17 = 45
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4)Represent each word phrase by a variable expression :
Ten is less than a number X a)
b) Quarter of a number n
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5-Find the perimeter of the following figures :
3.14 =
Figure (2) Figure (1)
55
6cm 6cm
5cm
12cm
St .Fatima Language schools second term 2013
El Hegaz Math ( mid-term) Primary 5
1- Complete :
a) The smallest natural number is ……………..
b) 74 ( 73 + 27 ) = 74 x …….. = ……….
c) The symbolic expression of : we add 5 to the number X is ………………
d) If the diagonal of a square is 8 cm then its area = ……………… cm 2
e) 2 , 8 , 32 , 128 , ……….. , ……………..
2) Put ( ) or ( X ) :
a) 38 ÷ 0 N ( )
b) If X is an even number , then X + 2 is an odd number ( )
c) 234 + 85 = 85 + 234 ( commutative property ) ( )
d) 1 is the multiplicative neutral element in N ( )
e) The area of the parallelogram = ( )
3a)Solve the equation :
3X + 4 = 19
b)Use the properties of addition in N to find :
47 + 29 + 53 + 71
4a) Choose the right answer :
a) If : X = {X : X N , 4 X < 7 ) then X = ………
( {4, 5 , 6 } , {5 , 6 } , {5 , 6 ,7 } , {4 , 5 , 6 , 7 } )
b) The length of the base of a triangle whose area is 70 cm 2 and height 7 cm =………………….. cm ( 10 , 7 , 5 , 20 )