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Transcript
S t. Fatima Lang .Schools
Work sheets (2011 / 2012)
Primary (5)
Mathematics (First Term )
sup :Maha Ahmed
Name : ………..……………………
Class : ……………………………..
Sheet (1)
1- Approximate to the nearest tenth:
a) 2.89
b) 7.98
c) 9.99
d) 200
e) 33.124
=================================================
2- Approximate to the nearest hundredth:
a) 6.4735
b) 0.296
c) 0.0096
d) 4.999
e) 31
====================================================
3- Choose the correct answer:
a) …………… 3.17
( 3.164 , 3.168 , 3.162 )
b) 2.003
………….
c) 10.7463 – 2.485
( 2 , 2.0 , 2.00 )
………to nearest 0.01 ( 8.2613 , 8.26 , 8.3 , 8.27 )
d) 3.1489 3.15 to the nearest
( tenth , hundredth , ten , thousand )
=========================================================
4- Write 3 decimals if they approximate to the nearest two decimals places the
result will be 3.26
==========================================================
5- Aly has 215 L.E , he bought a book for 25.4 L.E and a calculator for 62.49 L.E
.Find the left money with him ( app the answer to nearest pound )
Sheet (2)
1- Approximate to the nearest
:
a) 4.45678
b) 9.9999
c) 3897.54678
d) 18
=================================================
2- Choose the right answer :
a) 3.489 3.49 to the nearest ………….
( 0.1 , 0.01 , 0.001 , 10 )
b) ……….. 4.020 to the nearest 3 decimal places ( 4.0206, 4.0198 , 4.2001 )
c) 2.003
……………
( 2 , 2.0 , 2.00 )
d) The number 521.291 521.3 to the nearest
( 10 , tenth , hundredth ,
thousandth )
=====================================================
3- Approximate to the nearest :
a) 567.34 …………..
b) 8.89
……………..
( ten )
( unit )
c) 37 days
……………
weeks
d) 678987
…………….
( hundred )
e) 8765.3546
……………
( 2 decimal places )
f) 90.834
………………
( tenth )
g) 99.9987
…………..
( thousandth )
Sheet (3)
1- Put < , > , =
a) 0.7 x 0.2
0.007 x 2
b) 4.3 x 65
0.43 x 6.5
c) 0.0478 x 100
4
d) 84.32 x 100
8432
=======================================================
2- Complete :
a) 2.65 x 10 = ………….
b) …………. X 100 = 46.89
c) ………… x 987.456 = 987456
d) 19.45 x 10 = ……….. x 100
=====================================================
3- Multiply then match:
a) 78.9 x100
number lies between 70 and 80
b) 0.789 x 1000
number lies between 7000 and 8000
c) 7.89x100000
number lies between 700000 and 800000
d) 7.8 x 10
number lies between 700 and 800
==========================================================
4- Ahmed wants to buy a car , he paid 55000 L.E , and 1345.25 L.E each
month till the end of one year
Find the total price of the car
Sheet (4)
1- Complete :
a) 8.45 ÷ 0.5 =
=
= …………
b) 108.7154. ÷ 1.234 =
c) 564.32 ÷ 1.6 = …………..
=
= …………….
……………. To the nearest unit
d) 99.654 ÷ …………. = 0.99654
==========================================================
2- Choose the right answer :
a) 92 . 45 ÷ 10 ……..0.9245 ÷ 100
(< ,> ,= )
b) 456 cm ……….. m
( 456 , 5 , 4 , 46 )
c) 76 hours
………….days
( 4 , 3, 7 , 8 )
d) 235.67 ÷ 4.58 is ……………. Division
( finite , infinite )
==========================================================
3- Miriam ‘s salary 1756.65 per month
every day she spent 60.5 L.E
How much money did she spend in one week ? and if her salary is
enough till the end of the month ? why ?
========================================================
4- A rich man distributed 2169 L.E among poor people , if each one took
120.5 L.E find the number of poor people
Sheet (5)
1- Put < , > , =
a)
b)
c)
d) 0.3
e) 7
6
f) 4
4
=========================================================
2- Arrange in ascending order :
a)
,
, 1,
,
b) 4 and half , 4
,4
, 4 ,
c) 125 thousandth , 1 , 0.002 , 0.2 ,
Sheet (6)
1- Multiply then put the answer in its simplest from :
a)
x
= …………
b)
x 72 = ………..
c)
x 7 = ……….
d)
of = …………
e)
f)
Half of 2 weeks = ……..days
of 1 kg = …………kg = ……….gm
====================================================
2- Complete :
a)
x ………… = 1
b) ………….. x 3 =
c) ……… of 7 = 7
d)
x =
=
= ……………
Sheet (7)
1- Divide then write the answer to its simplest form:
a)
÷
b)
c) 6
d) 9 ÷
= ………….
= ……….
÷5
= …………..
= ………….
===================================================
2- Choose the right answer :
a) The reciprocal of 2 is …………
(6
b) 1
(1125 , 11.25 , 0.125 ,
m = ………..km
,
,
, 7 )
c) The perimeter of a square equals 22 cm then its side equals=……
)
d)
÷ ………… =
( ,
89 , 2225 ,
(
,
,
)
, 1 )
=====================================================
3- Maged divided 20
L.E among his 2 brothers . What fraction of this
money did each one take ?
Sheet (8)
1- Classify each of the followings :
Days of the week, even number less than 20, beautiful songs, the
letters of the word “Ahmed “, good manner
Not set
set
Elements of set
============================================================
2- Express each of the following sets by listing its elements :
a) Set of the digits of the number 4566786
b) Set of the months of the year ending with the letter “r”
c) Set of the prime number between 0 and 10
d) Set of the seasons of the year
=================================================
3- Express each of the following sets in word :
a) X= { 2 , 8 , 5 , 0 }
b) Y = { t , a , m , h }
c) A={ Amr Diab , Hamaky , Tamer Hosny }
d) B = {rectangle , square , rhombus }
Sheet (9 )
1- List the elements of each set :
a) 5 > x
X = {……………..}
b) 10 – b > 6
B = { ……………}
c) 3 + a < 8
A = {………….}
d) m
7
M = {………….}
==========================================================
2- Put
a) 9
b) 10
c) 2
d) S
:
{ prime numbers }
{ numbers divisible by 5 }
{3209 }
{ letters of the word mass }
e) 0
========================================================
3- State whether each of set is finite , infinite , empty :
a) {the numbers greater than 4 }
b) {pupils in saint Fatima el Hegaz}
c) {even numbers till 30 }
d) {men their tall is 7 meters}
e) {birds can fly }
Sheet (10 )
1- List the elements of the set A:
A ={………….}
A
x0
x1 x
x
6
5
=======================================================
2- In the opposite figure :
a) List the elements of X
X
Y
x
b) List the elements of Y
9
x
x
2
x
c) List the elements in both of X and Y
d) List the elements in X and not in Y
x
4
7
3
11
x
x
5
e) List the elements in Y and not in X
==========================================================
3- If A = { 0 , 5 , 3 , 4 , 9 }
B={1 , 0 , 6 , 3,8}
Represent the two sets A and B by Venn diagram
Sheet (11)
1- Put
:
a) 4 , 8
…………….
b) { 8 }
c) { 0 }
…………..
……………
{1,4, 5 ,8
the set of even numbers
d) 14
…………
{ 1 , 2 , 3 , …………..}
e) 1 , 5
………
{ 15 }
--------------------------------------------------------------------------------------------2- In the opposite figure :
U
a) List :
X
Y
1- The element of U
x8
x7
x9
2- The element of X
x0
x5
x1
3- The element of Y
x6
x 4
b) Complete by , , , :
a) 8 …………. U
b) 7 …………X
c) { 5 , 7 , 4 } ……….. U
d) 8 , 0 ……… Y
----------------------------------------------------------------------------------------
3 –Write the elements of each set :
U
A
X4
B
X5
x0
X3
x9
x11
Sheet (12)
1- If X = {4 , 7 , 9 , 0 }
Y={1, 3 , 0 , 2}
Find : X
X
---------------------------------------------------------------------------------------------2- If A = { 1 , 6 , 9 , 5 }
B={2 , 5 , 7 , 9 }
C={ 1 , 2 , 9 , 6 }
Represent these sets by Venn diagram then Find :
a) A
b) A
c) B
d) A
e) A
f) B
g) A
C
h) A
--------------------------------------------------------------------------------------------3- If A = { 1 , 2 , 4 , 7 }
B= { 2 , 3 , 4 , 5 }
C= {1 , 2 , 3 , 4 , 5 }
Put
:
a)
3
……………..
A
b)
{4 , 5 }
………….
B
c)
{1}
………….
A
d)
2
………
A
{5 }
……………….
B
e)
f)
Sheet (13 )
1Find : X – Y
Y–X
In the opposite figure
X
X
8
x1
X
6 x9
-----------------------------------------------------------------------------------------2- Complete :
a) { 4 , 6 , 8 } - { 4 , 8 } = …………
b) { 0 , 5 , 4 , 1 } = ……………
c)
- { 5 , 7 , 9 } = …………..
---------------------------------------------------------------------------3- U ={ 1 , 2 , 4 , 5 , 6 , 8 , 9 , 0 }
A= { 6 , 9 , 0 , 1 }
B= { 0 , 1 , 8 , 5 }
Represent these sets by Venn diagram then find :
a) A ‘
b) B’
c) (A
)’
d) (A- B )’
e) (B-A)’
f) U’
-----------------------------------------------------------------------------------4- If { a , 3 , 7 , 0 } = { 0 , y , 7 , 6 }
Find : 1) a + b
2) b-a
3) a x b
4)
Sheet (14)
1- Draw the next figure :
a)
b)
c)
d)
--------------------------------------------------------------------------------------------
2- Choose the right figure :
1)
a)
b)
c)
2)
a)
b)
c)
Sheet (15)
1- Draw a circle with radius 4 cm
2- Draw a circle with diameter 7 cm
3- Complete :
a) The line segment that joins the center of the circle to any point on
the circle is called …………………..
b) The line segment that joins two point on the circle is called …………….
c) The line segment that joins two points on the circle and passes
through the center of the circle is called …………..
d) The angle whose vertex is the center of the circle is called ………..
e) If the length of the diameter equals 8 cm then the radius = ……. Cm
f) All the radii on the same circle are ……………
g) Any circle has only ……. Center
h) The longest chord in the circle is ………
---------------------------------------------------------------------------------------
4- Look at the figure then complete:
a ) ……………. Is the center of the circle
b) ……….. , ……..are diameters of the circle
c) ………. , ………. are chords of the circle
d) ………….. ,…………. , ……..are radii of the circle
e) ……………. Is a central angle
A
B
O
N
D
P
X
-------------------------------------------------------------------------------------------5- Draw the circle O with radius 5 cm then draw the two radii OX , OA
With an angle = 50 , draw XA , measure its length
-----------------------------------------------------------------------------------------6- Draw the circle M with 8 cm , draw the chord AB of length 6 cm and
draw the angle BAC of measure 90 to meet the circle at C measure AC
Sheet (16)
1- Draw the triangle ABC in which AB = 4 cm , BC = 5 cm , AC = 6 cm
2- Draw the triangle XYZ in which XY = YZ = XZ = 7 cm
3- Draw the triangle LMN in which LM = MN = 6.5 cm , LM = 5 cm
Then draw its three altitudes
---------------------------------------------------------------------------------------4- Complete :
a) Any triangle has ……… altitudes
b) The altitudes of the triangle intersect at ……….. point
c) The altitudes of the right angled triangle intersect at ……………..
d) The altitudes of the acute angled triangle intersect at ……………
e) The altitudes of the obtuse angled triangle intersect at …………
------------------------------------------------------------------------------------5- Look at the figure then complete :
X
O
Y
Z
a) XZ is the corresponding base to …………
b) YO is the altitude of the base ……………
--------------------------------------------------------------------------------------6- ABC is a triangle where m< CXA = 90:
CX is the altitude of the base………..
C
A
B----------- X
Sheet (17)
1- A letter of the word* human* is selected randomly
What is the probability of selecting the letter “H”?
-----------------------------------------------------------------------------2- When we toss a coin once what is the probability to get a tail?
-------------------------------------------------------------------------------------3- When we toss a coin 15 times what is the probability to get a head?
----------------------------------------------------------------------------------------4- When we roll a die once find the probability of the followings:
a) To get the number 6
b) To get an odd number
c) To get a number less than 5
d) To get a number more than 3
e) To get the number 8
------------------------------------------------------------------------------5- A box contains 50 similar balls , the probability of drawing a black
ball is
find the number of black balls
---------------------------------------------------------------------------------6- Write : certain , possible , impossible :
a) A man’s tall is 180 cm
b) A fish can fly
c) We can see with our eyes
d) February has 29 days
e) the probability to get a tail when we toss the coin once is half
Remarks




the type of sets are : finite , infinite , empty
Finite set has a countable number of elements
Infinite set has an uncountable number of elements
Empty set has no elements and denoted by { } or
 Any circle has only one center
 The radius is the line segment that joins the center of the circle and a
point on the circle
 The diameter is the line segment that joins two points on the circle and
passes through the center
 The chord is the line segment that joins two points on the circle
 The central angle is an angle whose vertex is the center of the circle
 All the radii in the same circle are equal in length
























All the diameters in the same circle are equal in length
The length of the radius is half the length of its diameter
The length of the diameter is twice the length of its radius
The diameter is a chord which passes through the center
The diameter is the longest chord in the circle
Any triangle has 3 altitudes
The altitudes of the triangle intersect at one point
The altitudes of the acute angled triangle intersect inside the triangle
The altitudes of the obtuse angled triangle intersect outside the triangle
The altitudes of the right angled triangle intersect at the vertex of the
right angle
The type of triangle according to its angles are :acute angled triangle ,
obtuse angled triangle and right angled triangle
The type of triangle according to its sided are : equilateral , isosceles ,
scalene
The acute angled triangle has 3 acute angles
The obtuse angled triangle has one obtuse angle and 2 acute angles
The right angled triangle has one right angle and 2 acute angles
The equilateral triangle has 3 equal sides and 3 equal angles , each angle
= 60
The isosceles triangle has 2 equal sides and 2 equal angles
The scalene triangle has 3 different sides and 3 different angles
Any triangle has at least 2 acute angles
The quadrilateral has 4 sides
The square is a quadrilateral which has 4 equal sides and 4 right angles
The square is rectangle with all sides are equal in length
The rectangle is a quadrilateral which has 2 pairs of sides equal and 4
right angles
The rectangle is a parallelogram with 4 right angles
 The parallelogram is a quadrilateral which has two pairs of sides equal
and two pairs of sides parallel
 The trapezium is a quadrilateral which has one pair of sides parallel
 The rhombus is a quadrilateral which has 4 equal sides
 The probability of the impossible event = 0
 The probability of the certain event = 1
 The probability of an event is always 0 or 1 or a number between 0 ,1
Revision (1)
1- Complete :
a) 675.928 – 310.129 = …………. …………… to the nearest hundredth
b) 88.6125 + 13.0287 = ………… …………. To the nearest thousandth
c) The number 61.882
61.9 to the nearest …….
d) 55.92 x …… = 55920
e) If 0.3 x 20 = 0.3 x 2 x 10 = 0.6 x 10 = 6
Then 0.4 x 30 = 0.4 x … x 10 = … x 10 = …….
====================================================
2- Choose the right answer :
a) The digit 7 in the number 87.421 is in the …….. place ( unit , tenth , ten ,
hundredth )
b) Round off 859571 to the nearest thousand ( 8510000 , 859500 , 860000
, 859000 )
c) 3
…….. to the nearest hundredth (3.5 , 3 , 3.25 , 3.50 )
d) 0.9999
……… to the nearest thousandth ( 1.000 , 1000 , 9.99910 , 1)
e) 9.7 x 0.56 = ………….( 54.32 , 5.432 , 0.5432 , 5.423 )
=====================================================
3- Put < , > , = :
a)
………..
0.6234
b) 8.64 x 3.5
…………..
8.64 x 0.35
c) 27.15 x 10 ………
0.7215 x 1000
d) The value of 4 in 35.341 ……….. the value of 4 in 42.181
====================================================
4- Multiply then match :
a) 6.138 x 10
number lies between 6 and 7
b) 6.5297 x 100
number lies between 6000 and 7000
c) 6.98 x 1000
number lies between 60 and 70
d) 2.6 x 2.5
number lies between 600 and 700
Revision (2)
1- Arrange in ascending order :
1 ,
, 2
,
===================================================
2- How many quarters are there in ten pounds and half ?
=====================================================
3- List the elements of the two sets X and Y then complete :
X
Y
0
x
x
4
1
x
x
x
x
8
x
11
2
3
1) X =
Y={
}
}
2 ) Put
a) 0 ………… X
b) 8 ………..X
c) 1 …………..Y
d) 11 ………….Y
====================================================
Revision (3)
1- Complete :
a) 2.253 + 12.564 = ………….. …………… to nearest hundredth
b) {4 , x , 9} = {Y , 4 , 8 } then X = ……. , Y = ………
c) If 3 >a where a is whole number , then a = {...... , …… .,……..}
d) The elements of the set of the digits of 87411 are …………
e)
÷ ………. =
================================================
2- Choose the right answer :
a) 371.456 …………. To the nearest 100 ( 371.46 , 400 , 300 )
b) The set {1 , 3 , …… , 99} is ……..
( finite , infinite , empty )
c) 15 ………. {1 , 5 }
(
d) Beautiful songs
( set , not set )
e) …………. Is the reciprocal to 3
,
(
,
,
,
)
,
)
=====================================================
3- A car covers 80.55 Km in one hour
How many Km can it covers in 3 hours ?
=====================================================
4- Mona has 85.35 L.E , she took 20.6 L.E from her mother
How much money does she have now ? ( app the answer to the nearest
L.E )
======================================================
5- Represent the sets A and B by a Venn diagram where:
A ={1 , 6 , 7 , 8 , 9 } , B = {3 , 5 , 7 , 8 , 10 } , C ={ 2 , 4 , 7 , 9 ,10}
Then Find : 1) A B
2) A B
3)A C
4)A C
5) B C
6) B
C
7)A
B
C
Revision (4)
1- Put (
,
,
,
):
a) 6 …………. Odd number
b) {2 , 4 , 8 } …………{ 1 , 4 , 3 , 9 2 , 8 }
c) Lion ………………..{ animals }
d) …………. {3 , 6 ,7 }
======================================================
2- complete:
a) …………… is a diameter
b) ………….is a chord
A
M
D
c) …………. Is a radius
d) ……….. is the center of the circle
X
========================================================
3- Draw the triangle ABC in which AB = 6 cm , BC = 5.5 cm and CA = 7 cm, from B
draw the altitude BX then find its length
==========================================================
4) A box contains 2 red balls , 6 blue balls and 4 white balls
One ball is drawn randomly
Find the probability that the ball is:
a)Blue ball
b)white ball
c) black ball
Model exam
1- Complete:
a) 1.3678+ 23.4567 = ………..~ ………… ( app.to the nearest thousandth)
b) 46.456 - 23.569= …………..~ ……….. ( app.to the nearest hundredth)
c) The elements of the set of digits of the number 54432 are ……….
d) If { 3 , 6 , 9} = { 9 , x , 3 } , then x = .......
e) The longest chord in the circle is .........
2Choose the right answer :
a)325 m = …….Km
(0.325 , 3025 , 32500 , 325000)
b) The answer of 14.8 x 1000 lies between
(1000 and 2000 , 100 and 200 , 10000 and 20000 , 10 and 20)
c) The probability of choosing the letter “d” from the letters of the word
"Ahmed" is ........
(
,
,
, 1 )
d) 8.678 m ~ ……cm
( 9 , 87 , 8.6 , 868 )
e)The right angled triangle has …..altitudes
( 3 , 2
,
---------------------------------------------------------------------------------3a)Arrange in ascending order :
,
,
,
b) Using the opposite Venn ,Find :
1) A U B
2) A
B
B
3) B – A
4) B ‘
A
x
x
7
4
x
x
9
0
x
x
3
1
1)
-----------------------------------------------------------------------------------------------------4- When we roll a dice once find the following events :
a) A prime number
b) A number less than 4
c) A number divisible by 5
----------------------------------------------------------------------------------------------5- If the calendar year is 365 days
How many calendar year are there in 8775 days?
-----------------------------------------------------------------------------------------------------6-
Draw the triangle XYZ in which XY = 6 cm , YZ = 8 cm , and ZX = 10 cm
Draw its 3 altitudes and measure their lengths