bklt math 3prim term2
TRANSCRIPT
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
1‐ Find the result:
5 2 4 1 2 3 0 5 8 5 5 5 0 4 9 1 8 5
3 5 9 9 2 4 9 8 3 1 9 1 6 8 3 2 7 8
……….….. ………..….. ……….….. …….………
2‐ Arrange in a descending order:
47 657 , 21 654 , 32 891 , 54 654
The order is: ……………………………………………………………………………..
3‐ Write the greatest and the smallest number that can be formed
from the digits 6 , 4 , 3 , 0 and 7 then find :
The greatest number= ……………….. The smallest number = …………….
Their sum = …………………………………………………………………………………..
The difference between them =
……………………………………………………………………………………………………….
4‐ Complete the following:
a‐ 6 x 8 = ………….. b‐ 7 x 9 = …………. c‐ 3 x 4 = …………..
d‐ 3 x …………. = 24 e‐ ……… x 5 = 35 f ‐ 9 x 9 = …………..
g‐ 6 x ………. = 9 x ………. h‐ 8 x …….. = 64 i‐ 2 x 7 = …………..
Revision
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Cairo Governorate 3rd
Primary
Nozha Directorate of Education Language Section
Nozha Language Schools 2011 ‐ 2012
www.nozhaschools.com Maths
Lesson 1: Reviewing the meaning of the multiplication
operation and its properties.
Example "1":
Complete as the example:
A) 6 x 3 = 6 + 6 + 6 = 18
B) 7 + 7 + 7 + 7 = 7 x 4
a) 9 x 3 = ………… + ………… + ………… = ……………
b) 7 x 5 = ……………………………………………………… = ………………
c) 9 x 6 = ……………………………………………………… = ………………
d) 6 + 6 + 6 + 6 = …………… x ……………… = ………………
e) 4 + 4 = ……………… x ……………… = ………………
f) 4 x ………… = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4
)1(Unit
Multi lication
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Example "2"
A) 9 x 7 = 7 x ……..
B) 6 x …… = 8 x 6
a 5 x 4 4 x ……………
b 8 x ………… 6 x 8
c 7 x 9 …………… x ………………
d …………… x 3 3 x 7
9
8
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e 763 x …………… ………… x 86
Example "3"
A. ( 8 x 5 ) = ( 8 x 3 ) + ( 8 x 2 )
= 24 + 16 = 40
B. ( 8 x 9 ) = ( 8 x 10 ) - 8
C. ( 7 x 6 ) = ( 7 x 5 ) + 7
Exercise:
a 8 x 15 8 x 7 8 x …………
………….. …….……… ……………
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b 4 x 9 4 x ………… 4 x 5
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c 5 x 12 5 x …………… 5 x …………
d ………… x ………… 4 x 10 ‐ 4 x 3
e 7 x ………… ‐ 7 x ………… 7 x 5
f 9 x 4 ………… x ………… ‐ 9 x 6
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Lesson 2: Multiplying x 10
Note that :
2 tens 20
7 tens 70
Example "1" :
A) 10 x 2 = 10 + 10 = 20
B) 25 x 10 = 250
If We multiply any number by 10 , we put the Same number , and write
( 0 ) on the right of this number .
Complete:
a) 10 10 10 10 10 10 x ………… ……………
b) 10 x 6 ……… ……… ……… …..… …..…… …… …………
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c) 9 x 10 ………………
Date: ‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Example "2":
A) 10 x 7 = 7 x 10 = 70
B) 85 x 10 = 10 x 85 = 850
C) 6 x 3 x 10 = 18 x 10 = 180
Complete:
a‐ 9 x 10 ………… x 9 ………………
b‐ ………… x 10 10 x 5 ……………
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c‐ 8 x …………… 10 x …………… ………………
d‐ 10 x 11 …………………
e‐ 10 x 45 …………………
f‐ 10 x …………… 990
g‐ 10 x …………… 580
h‐ ………… x 27 270
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i‐ 5 x 9 x 10 …………… x 10 ………………
j‐ 10 x 2 x 7 10 x …………… ………………
k‐ 3 x 2 x 10 6 x ……………… ………………
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Example "3" :
A) 9 x 10 = 10 x 9 = 9 tens
B) 25 x 10 = 10 x 25 = 25 tens
Complete :
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a‐ 10 x 4 ………………… tens .
b‐ 98 x 10 ………………… …………… tens .
c‐ 23 x …………… 230 ……………… tens .
d‐ …………… x 10 870 ………………… tens .
e‐ …………… x 10 …………… 45 tens .
f‐ …………… x 10 …………… 12 tens .
Example "4":
8 x 10 = 8 tens
= 5 tens + 3 tens
= 50 + 30 = 80
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Complete:
a‐ 7 x 10 = ……..… tens .
= 4 tens + ……… tens
= ..…..… + ………… = ……………
b‐ …..…… x 10 = 5 tens
= 3 tens + ……… tens
= ……..… + …………… = …………
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Lesson 3: Multiplying x 100
Note that :
1 hundred 100
8 hundreds 800
Example "1" :
A) 100 x 3 = 100 + 100 + 100
= 300
B) 9 x 100 = 900 = 9 hundreds
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When we multiply any number by 100 , we put the same number
and write 2 zeroes on the right of this number .
Complete :
a‐ 100 x 2 ……………… ……………… …………………
b‐ 5 x 100 …………………….
c‐ 700 tens ……………………
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d‐ 30 x ……………… 18 hundreds.
e‐ 8 x 100 ………………… ………………… hundreds .
f‐ 100 x 34 ………………… ………………… hundreds.
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Example "2":
A) 48 x 100 = 100 x 48 = 4800 B) 5 x 3 x 100 = 15 x 100 = 1500
Complete : Complete :
a‐ 9 x 100 100 x ………… a‐ 8 x 4 x 100 …………… x 100
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………… ……………
b‐ …………… x 100 100 x 3 b‐ 100 x 2 x 8 …………… x 100
………… …………
c‐ …………… x 100 100 x……… c‐ 7 x 6 x 100 100 x …………
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3200 ………
Example "3": A) 8 metres = 800 centimetres B) 4 pounds = 400 piastres
cause 8 x 100 = 800 cause 4 x 100 = 400Note that: 1 metre = 100 centimetres Note that: 1 pound = 100 piastres
Complete :
a‐ 9 m. ………………… cm. a‐ 3 pounds ………… piastres
b‐ ………… m. 200 cm. b‐ ………pounds 500 piastres
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c‐ 45 m. …………… cm. c‐ 25 pounds …………… piastres
d‐ ……………… m. 3800 cm. d‐ ………… pounds 6400 piastres
e‐ ……………… m. 72000 cm. e‐ ……… pounds 95000 piastres
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Lesson 4: Multiplying x 1000
1‐ Complete :
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a‐ 1000 x 2 …………………… ………………… ……………………
b‐ 5 x 1000 …………… …………… …………… …………… ……………
……………
c‐ 1000 x …………………… 9000
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d‐ …………… x 1000 8000
e‐ 25 x ……………… 25000
2- Complete :
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a‐ 8 x 1000 1000 x ……………… …………………
b‐ …………… x 1000 1000 x ……………… 23000
c‐ 1000 x 2 x 6 1000 x ……………… …………………
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d‐ 4 x …………… x 1000 ……………… x 1000 32000
e‐ 3 x …………… x 1000 ……………… x 1000 21000
f‐ …………… x 8 x 1000 1000 x ……………… 48000
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
3‐ Complete :
a‐ 5 kg. ……………….… gm.
Note that :
b‐ 42 kg. …………..…… gm. 1 kg. = 1000 gm.
Ex:
c‐ …………… kg. 87000 gm . 30 kg. = 30 x 1000
= 30 000 gm
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Example :
A) 9 x 300 = 27 x 100 = 2700
B) 200 x 30 = 100 x 60 = 6000
Complete :
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a‐ 70 x 40 100 x ………………… ……………………
b‐ 5 x 700 …………… x 100 …………………
c‐ 230 x 10 100 x ……………… …………………
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d‐ 4 x 500 ……………… x 100 ……………………
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Lesson 5: Multiplying a 2-digit number
by a 1-digit number .
Example :
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Find 465 x 3 :
Solution :
4 6 5 4 6 5 4 6 5
x 3 x 3 x 3
‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐
5 9 5 1 3 9 5
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Find the result:
We multiply 3 by the digit 5,so 3x5=15, then we put down 5down as a units digit and wecarry up 1 on the tens digit.
We multiply 3 by the digit6, so 3x6=18, then we add18+1=19 so we put down 9and we carry up 1 on thehundreds digit.
We multiply 3 by thedigit 4, so 3x4=12,then we add 12+1= 13so we put it down.
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3 6 3 4 2 3 5 3 7 5 9
x 4 x 2 x 3
____________ ____________ ____________
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
1 3 9 8 2 5 9 3 6 7 5 4
x 6 x 4 x 9
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____________ ____________ ____________
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
4 0 5 6 1 3 2 2 1 4 3 5
x 5 x 4 x 8
____________ ____________ ____________
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‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Complete as the example :
Example :
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5 6
x 5
________________
2 2 0
Solution :
a‐ 5 x 6 30 0 under the unit & carry up 3
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b‐ 5 x 5 25 3 28 8 under the tens & and carry 2
c ‐ To find the missing digit in the hundreds place:
subtract first 2 from 22
22 – 2 20
then 5 x ? 20
5 x 4
So, the missing digit is 4
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Find the missing digits :
8 9 6
x 3 x 8
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
2 0 7 2 1 4
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3 4 0 3
x 6 x 5
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
3 2 4 3 5 5
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Story Problems
1 ‐ A car holds 567 kg of vegetables . How many kilograms do 9 cars hold ?
* Number of kg ………………………… …………………kg.
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2 ‐ Mona bought 3 kg. of oranges for 150 P.T. each , and 2 kg. of cucumber for 160
P.T. each. How much money did she pay ?
* Price of oranges ………………………… ………… P.T.
* Price of cucumber ….…………………… ………… P.T.
* Total price ………………………………… ………… P.T.
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3 ‐ Ahmed had 170 L.E. He bought 7 books for 15 L.E. each , and 8 pens for 7 L.E.
each . How much money was left with him ?
* Price of books ……………………………… ………… L.E.
* Price of pens ……………………………… ………… L.E.
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* Total price ………………………………… ………… L.E.
* Left money ………………………………… ………… L.E.
4 ‐ A merchant had 9 bags of 46 kg. of sugar each . He sold 114 kg. of sugar . How
much sugar was left with him ?
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* The number of kg. in 9 bags ……………………… …………… kg.
* The number of kg. left ……………………………… …………… kg.
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
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5 ‐ Mona saves 25 L.E. every month . How much money does she save in
8 months ?
* Mona saves ………………………………………… …………. L.E.
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6 ‐ A merchant bought 128 pieces of chocolates for 7 L.E. each .
What was the price of all pieces ?
* The price of all pieces ……………………………… …………. L.E.
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7 ‐ Amira had 250 L.E. She bought 18 metres of cloth for 5 L.E. each . How much
money was left with her ?
* The price of cloth ……………………..…………… …………. L.E.
* The money left with her …………………………… …………. L.E.
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Unit ( 2 )
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Division
Lesson 1: The meaning of the division operation .
Example "1" :
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* If we distribute divide the pencils equally among Ahmed and Mona
to give each one the same number of pencils .
* Each one takes 3 pencils .
So , we write this as :
6 = 3 x 2
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• 30 flowers are given equally to Mohamed , Omar and Ahmed .
Each one takes …………… flowers
So , 30 ………… x 3
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Example "2" :
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If we distribute divide 9 apples among Omar and Ahmed , such that each one
takes the same number of apples .
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* Omar takes 4 apples * Ahmed takes 4 apples .
, and there will be 1 apple remainder.
So, we write this as :
9 = ( 4 x 2 ) + 1
Complete :
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A If we divide 23 pencils equally among three boys ,then the greatest
number of pencils each one takes …………… and the number
of remaining pencils ……………… pencils .
Then : 23 ………… x 3 ………………
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B Ahmed has two bags of sweets , one bag has 15 sweets , and the other has 12
sweets . He wants to divide them equally among his 3 sons .
* The share of each son ……… ÷ ……… ……… ÷……… sweets
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
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Using the Division Sign ( ÷ )
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In the previous pictures, there are 6 butterflies, and in each group there are 3
butterflies.
So, the number of groups 6 ÷ 3 2 groups .
This operation is called " Division "
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So, we read: 6 ÷3 2 as : Fifteen divided by five equals three .
Remark:
If you see some words like:
* Distributed ……………… among …………………
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* Divide ………………… by ……………………
* How many sets groups of ……………… are there in ……………… ?
* How many ……………………… are there in …………………… ?
They usually means that you should divide the two numbers .
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
1- Complete :
a If you want to divide 48 flowers into 6 sets , how many flowers are
there in each set ?
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The number of flowers in each set ………… ÷ ……… ………… flowers .
b Ahmed distributed L.E. 18 equally among his 3 brothers.
Find the share of each one
…………… ÷ ………… L.E. …………………
c A piece of cloth of 28 metres long was divided equally by 7 persons .
Find the share of each one .
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The share of each one ……… ÷ ……… ………… metres.
Lesson ( 2 )
Finding the Quotient
Example "1" :
24 ÷ 4 = 6
Dividend Divisor Quotient
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Note that:
There're 3 ways to express the division operation.
* For example:
To divide 30 by 6 , you can write
5 30 5
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30 ÷ 6 5 or 6 30 or 6
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Note that:
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1 - Any number divided by itself = 1
Ex : 9 ÷ 9 1 , 2358 ÷ 2358 1
2 - 0 divided by Any number = 0
Ex : 0 ÷ 9 0 , 0 ÷ 2358 0
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1 Find the quotient:
a‐ 16 ÷ 4 ………………… b‐ 27 ÷ 3 …………………
c‐ 35 ÷ 5 ………………… d‐ 8 ÷ 8 ……………………
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e‐ 12 ÷ 3 ………………… f‐ 30 ÷ 6 ……………………
g‐ 42 ÷ 7 ………………… h‐ 21 ÷ 3 ……………………
i‐ 9 ÷ 3 ………………… j‐ 0 ÷ 8 ……………………
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k‐ 54 ÷ 6 ………………… l‐ 20 ÷ 4 ……………………
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
2 – Complete as the example :
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Example :
……
4 32 So , 32 ÷4 8
÷
…… ………
a 8 8 b 5 40
………….. ………
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c 4 24 d 3 30
………… …….
e 8 32 f 5 25
………….. …………
g 6 12 h 4 44
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Example :
How many eights are there in 24 ?
24 ÷8 3
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A How many threes are there in 18 ? …………………………………
B How many fours are there in 40 ? ……………………………………
C How many ones are there in 15 ? ……………………………………
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Lesson ( 3 )
The relation between division
and
multiplication
Example:
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40 ÷ ………… 5 ………… ÷ 4 8
40 ÷ 5 8 4 x 8 32
2 6
3 ……… …… 54
3 x 2 6 54 ÷ 6 9
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Complete the following:
a 28 ÷ ………… 7 b …………… ÷ 5 0
c 8 ÷ …………… 4 d …………… ÷ 2 9
e …………… ÷ 9 1 f 45 ÷ ………… 9
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g 48 ÷ ………… 8 h …………… ÷ 8 8
6 5
i …… 30 j 5 ………
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3 7
k 4 ……… l …… 49
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Lesson (4)
Even numbers and odd numbers
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• Even numbers:
The numbers whose units digit is 0 , 2 , 4 , 6 or 8 are called even numbers .
For example:
24 , 886 , 530 all these numbers are called even numbers
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• Odd numbers:
The numbers whose units digit is 1 , 3, 5 , 7 or 9 are called odd numbers.
* For example:
35 , 267 , 991 all these numbers are called odd numbers .
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Note that:
• Even Even Even
Example : 24 12 36
• Odd Odd Even
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Example : 73 25 98
• Even Odd Odd
Example : 36 51 87
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
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Exercises:
1 ‐ Write " even" or " odd " :
a 253
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b 628
c 190
d 76584
e 253 616
f 303 555
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g 608 12
h 4125 7630
2 ‐ Complete :
a‐ If we add 1 to any even number it becomes an .............................. number.
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b‐ If we add 2 to any even number it becomes an .............................. number.
c‐ Two odd numbers whose sum is 100 are ..................... and ....................
d‐ Two even numbers whose sum is 100 are ..................... and ....................
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e‐ The even number the odd number …………………….
f‐ The two even numbers between 11 and 15 are …………… and ……………
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
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Lesson (5)
Dividing a number by a 1 – digit number
1 ‐ Complete :
a 808 ÷ 8 …………………… b 428 ÷ 2 …………………
c 396 ÷ 3 …………………… d 770 ÷ 7 …………………
e 500 ÷ 5 …………………… f 603 ÷ 3 ……………………
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g 909 ÷ 3 …………………… h 2420 ÷ 2 …………………
2 ‐ Complete :
……… ………
a 2 642 b 4 4404
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……… ……
c 5 505 d 3 693
……… ……
e 2 804 f 6 660
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
3 ‐ Complete as the example :
Example :
612 ÷ 2 306
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1st step 2nd step 3rd step
6 ÷ 2 3 1 ÷ 2 it can't be cause 12 ÷ 2 6
1 is less than 2 , then
we put 0.
a 315 ÷ 3 …………………… b 328 ÷ 8 ……………………
c 545 ÷ 5 …………………… d 1266 ÷ 6 ……………………
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e 721 ÷ 7 …………………… f 1068 ÷ 2 ……………………
g 1612 ÷ 4 …………………… h 612 ÷ 3 ……………………
i 624 ÷ 6 …………………… j 525 ÷ 5 ……………………
k 981 ÷ 9 …………………… l 1005 ÷ 5 ……………………
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4 ‐ Find the missing numbers :
a 88 ÷ …………… 22 b 309 ÷ …………… 103
c …………… ÷ 6 101 d …………… ÷ 4 201
e 480 ÷ …………… 120 f 936 ÷ ……………… 312
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Story Problems
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1 ‐ Mona bought a dress for 55 pounds, and 3 books for 15 pounds each.
If she had 120 pounds. How many pounds remained with her ?
• The price of books ............................................... ............... pounds.
• The total price ...................................................... ............... pounds.
• The money remained with her ............................... ............... pounds.
2 ‐ A school paid L.E. 105 to buy same books . If the price of each
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book is L.E. 5 , find the number of books .
• The number of books ……………………………… ……………books.
3 ‐ An equal number of children are vaccinated daily, if 328 children are vaccinated
in 5 days?
• Number of vaccinated in one day .................................... ... ................ children
• Number of vaccinated in 5 days ....................................... .. ................. children
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4‐ Omar bought a car for L.E. 39 410. He paid L.E. 29 355 in cash, and the rest of the
price will be paid in 5 equal installments. What's the value of each installment?
• The rest of the price ........................................... L.E. ........................
• The value of each installment ..................................... L.E. ................
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2‐ Find the perimeter of :
1) a triangle whose side lengths are 3cm. , 5cm. and 4cm.
• The perimeter = ……………………………………………………cm.
2) a triangle whose side lengths are 12cm. , 15cm. and 10cm.
• The perimeter = ……………………………………………………cm.
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
3) Find the length of the third side of the triangle in which the lengths
of two sides are 12cm. , and 13cm. , and the perimeter is 30cm.
• The sum of the lengths of two sides = ……………………………cm.
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• The length of the third side = …………………………………………cm.
4) The perimeter of a triangular piece of land is 4oo metres. Find the length
of its third side if you know that the sum of its two sides is 140 metres.
• The length of its third side = ...................................................... metres.
5) The perimeter of any geometrical shape = ………….……….. of side lengths.
Lesson 2:
The perimeter of the square and the rectangle
Rectangle Square
In the rectangle every twoopposite sides are equals in length
The perimeter of a rectangle=Length + width + length + width
OR ( length + width ) x 2
Perimeter = 4 + 3 + 4 + 3 = 12 units.OR = ( 4 + 3 ) x 2 = 12 units.
Dimensions means: length and width
In the square four sides areequals in length.
The perimeter of a square=Length + length + length + length
OR side length x 4
Perimeter = 3 + 3 + 3 + 3 = 12 units.OR = 3 x 4 = 12 units..
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
1‐ Complete :
XY = ………………… units .
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YZ = ………………… units .
LZ = ………………… units .
LX = ………………… units .
XYZL is called …………………………………
Its perimeter = …………………………………………..…………
2‐ Complete:
AB = ……………… units .
BC = ……………… units .
CD = ……………… units .
DA = ……………… units .
ABCD is called ………………………………… .
Its perimeter = ………………………………………………………
3 – Find the perimeter of:
1‐
a rectangle whose length is 8 cm. and width is 3 cm. =............................................................................... cm.
2‐ a square whose side length is 5 cm. = ................................................. cm.
3‐ a triangle whose side lengths are 3 cm. , 4 cm. and 5 cm. =
....................................................................... cm.
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4 - Use your ruler to measure the side lengths of each of the followingfigures, then find the perimeter .
Perimeter = …………………………………… cm
Perimeter = ………………….……..….…… cm
Perimeter = …………………………………… cm
Perimeter = ……………………………………… cm
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Lesson 3 : The Area
The area of any shape:
is the number of units inside that shape.
1 – Find the area of each figure:
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The area = ------ The area = ------ The area = -----
The area = ----
The area = ------ The area = ------ The area = -----
The area = ------ The area = ------ The area = -----
The area = -----
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Unit 4 Lesson 1: The meaning and reading of fractions
1‐ Colour according to the given fractions:
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2‐ Write the fraction of the shaded parts:
…………… ……………
…………… ……………
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
3‐ Write the following fractions and mention their numerators
and denominators:
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• Quarter = …………… The numerator is …………
The denominator is ………
• Two third = …………… The numerator is …………
The denominator is ………
• Three sevenths = …………… The numerator is …………
The denominator is ………
• The fraction that its denominator is 5 and its numerator is 4 = ……………
Lesson 2 Equal Fractions
Complete the missing term :
a) 3 = ………… b) 8 = 9 = …………
9 27 8 ………
c) 2 = 10 d) 2 = …………4 ………… 9 18
e) 3 = 21 f) 5 = 30 .4 ………… 6 ……….
g) 2 = ………… h) 5 = 50 .5 15 7 …………
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
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Lesson 3
Simplifying the fractions
Complete the missing term :
a) 5 = ………… b) 6 = …………10 2 8 4
c) 30 = 5 d) 9 = …………36 ………… 12 4
e) 16 = ………… f) 7 = 1 .
20 10 21 …………
Lesson 4Ordering fractions, and comparing
two fractions
1 ‐ Put the suitable sign > , < , or = :
a) 3 ………… 1 b) 5 ………… 25 2 5 2
c) 3 ………… 1 d) 2 ………… 34 5 3
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
2 ‐ Put the suitable sign > , < , or = :
A} 1- 4 ...... 2 B} 6 - 2 ..... 1 + 35 5 7 7 7 7
C} 3 + 2 ....... 1 - 5 D} 3 + 1 ....... 86 6 6 5 5 10
E} 1 + 3 ....... 3 + 1 F} 1 + 6 ....... one whole.6 6 5 5 7 7
G} 1 .... one third H} 1 + 2 ...... four fifths.
2 5 5
3 – Complete:
A} 7 - six ninths = .................9
B} 5 + 2 = ............ = .......7 7
C} 1 – three sevenths = ...........
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D} one third + 2 = ........ = .......3
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
4 ‐ Arrange the following in an ascending order :
A) 1 , 5 , 3 , 17 7 7
Order = …………… , …………… , ……………… , ………………
B) 2 , 2 , 2 , 2 .8 7 9 10
Order = …………… , …………… , ……………… , ………………
5 ‐ Arrange in a descending order :
A) 3 , 1 , 9 , 2 .12 12 12
Order = …………… , …………… , ……………… , ………………
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B) 7 , 7 , 7 , 7 .
9 11 8 12
Order = …………… , …………… , ……………… , ………………
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Lesson 5 Adding and Subtracting fractions
I‐ Adding fractions :
Add and simplify the sum to its simplest form :
a) 5 + 3 = …………… = ………………18 18
b) 4 + 5 = ……………… = ………………12 12
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C) 2 + 4 + 1 = …………… = ………………
14 14 14
II‐ Subtracting fractions :
Subtract and simplify the result to its simplest form :
a) 7 - 3 = ………………… = …………………8 8
b) 8 - 6 = ………………… = …………………10 10
c) 11 - 6 = ………………… = …………………15 15
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
III‐ Missing fractions in adding and
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subtracting fractions :
1‐ Complete :
a) 2 + ………………… = 3 .9 9
b) 3 + ………………… = 15
c) ……………… + 5 = 18
d) ………………… + 5 = 7 .12 12
e) 5 - ………………… = 1 .6 6
f) ……………… - 2 = 1 .5 5
g) 1 - ………………… = 3 .7
h) ……………… + 3 = 113
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
3‐ Choose the correct answer between the brackets :
A} 3 + 1 = ........ ( 4 , 4 , 2 )5 5 10 5 5
B} 3 = ....... ( 1 + 1 , 16 , 1 - 2 )5 5 5 20 5
C} 1 = ....... ( 7 , 9 , 3 )3 10 11 9
Complete :
a) The tool used to measure temperature is …………………………………………… .
b) The unit used for measuring temperature is ………………………………………… .
c) The normal room temperature is about ……………OC.
d) The normal human temperature is ……………OC.
e) We watch …………………………………………… to know how hot it's going to be .
Unit 5
Lesson 1: Measuring temperature .
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d) The temperature at which water boils is ………………OC.
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Lesson 2
Measuring length
Note that :
The metre (m.) is used to measure the lengths of cloth , rooms , heightof a house or building , perimeter of a playground .
The centimetre (cm.) is used to measure small lengths such as : the
length of pencil or ruler .
The kilometer (km.) is used to measure long lengths such as the distancebetween two cities .
1 km. = 1000 m. 1 m. = 100 cm.
1 ‐ Complete:
a) 3 km. = …………………… m. a) 5 m. = …………………… cm.
b) 9 km. = …………………… m. b) 2 m. = …………………… cm.
c) 25 km. = ………………… m. c) 350 m. = ………………… cm.
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2 ‐ Complete:
a) 4000 m. = …………………… km. a) 300 cm. = ……………… m.
b) 90000 m. = ………………… km. b) 9400 cm. = …………… m.
c) 65000 m. = ………………… km. c) 84000 cm. = ………… m.
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
3‐
Complete :
a) 3 km. and 256 m. = …………………………… m.
b) 70 km. and 142 m. = ………………………… m.
c) 16 km. and 2 m. = ……………………………… m.
d) 5 m. and 12 cm. = ……………………………… cm.
e) 72 m. and 5 cm. = ……………………………… cm.
f) 34 m. and 8 cm. = ……………………………… cm.
4‐ Complete:
a) 8246 m. = ………………… km. and ………………… m.
b) 15560 m. = ……………… km. and ………………… m.
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c) 25003 m. = ……………… km. and ………………… m.
d) 678 cm. = ………………… m. and ………………… cm.
e) 309 cm. = ………………… m. and ………………… cm.
f) 1760 cm. = ……………… m. and ………………… cm.
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Lesson 3
Measuring weight
Note that: The gram (gm.) is used to measure the weight of light things such as
eggs , pens , ring , glasses .
The kilogram (kg.) is used to measure the weight of heavier thingssuch as fruits , vegetables , cheese , fish , bed , chair .
1 kg. = 1000 gm. 1 kg. = 500 gm. 1 kg. = 250 gm.
2 4
1‐ Complete:
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a) 3 kg. = …………………… gm. d) 7000 gm. = ………………… kg.
b) 12 kg. = ………………… gm. e) 58000 gm. = ……………… kg.
c) 40 kg. = ………………… gm. f) 10000 gm. = ……………… kg.
2‐ Complete:
a) 5 kg. and 238 gm. = ………………………… gm.
b) 2 kg. and 50 gm. = …………………………… gm.
c) 48 kg. and 3 gm. = …………………………… gm.
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
3‐ Complete:
a) 5387 gm. = …………………… kg. and …………………… gm.
b) 2014 gm. = …………………… kg. and …………………… gm.
c) 45008 gm. = …………………… kg. and …………………… gm.
d) 37601 gm. = …………………… kg. and …………………… gm.
4 ‐ Put the suitable sign > , < , or = :
a) 5 kg. ………… 500 gm.
b) 7 kg. ………… 705 gm.
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c) 8999 gm. ………… 9 kg .
d) 3½ gm. ………… 3kg.
d) 2300 gm. ………… 2 kg.
6 ‐ Arrange the following weights:
a) 3750 gm. , 5000 gm. , 2kg.
Ascendingly : …………………… , ………………… , ………………………
b) 560 gm. , 25 kg. , 1 kg.
Descendingly : …………………… , ………………… , ………………………
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
c) 3 km. , 4000 cm. , 500m. , 200 m.
Ascendingly : …………………… , ………………… , ………………………
Lesson 4 Measuring time
Note that:
1 minute = 60 seconds .
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1 hour = 60 minutes , ½ an hour = 30 minutes.
1 day = 24 hours , ½ a day = 12 hours.
1 week = 7 days , ½ a week = 3½ days.
1 year = 365 days . ( 366 days in a leap year )
1 year = 12 months , 1 year = 52 weeks
January , March , May , July , August , October , December (31 days )
April , June , September , and November (30 days )
February has ( 28 days ) , but it has ( 29 days ) in the leap year .
Remark:• The number of days in 2007 = 365 days .• The number of days in 2008 = 366 days .• The number of days in 2009 = 365 days .• The number of days in 2010= 366 days .
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
1- Complete :
a) The first month of the year is …………….……………………… and the last month
is ……………………………
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b) The day just after Monday is…………………………………… and just before Saturday
is …………………………… .
2‐
Complete:1 year = 12 months
2 years = 12 x 2 = 14 months
a) 4 years = ……………………………… months .
b) 1 year and 3 months = ………………………………… months .
3‐
Complete:
2 weeks = 2 x 7 = 14 days .
a) 3 weeks = ………………………… days .
b) 7 weeks = …………….…………… days .
4‐ Complete:
1 day = 24 hours .
2 days and 3 hours = ( 2 x 24) + 3 = 48 + 3 = 51 hours
a) 3 days = ……………………………… hours .
b) 1 day and a half = …………………………………… hours .
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
Unit (6)
Statistics and Probability
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Lesson 1: Representing data.
1‐ The following graph represents the donations of some citizens to an
orphanage. Write these data in the table, then find the difference between
the minimum and the maximum donations in L.E.
Donator Ali Omar Ahmed Saad Hassan
Money inL.E. ---------- ---------- ---------- ---------- ----------
The difference = ------------------------------------
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
2‐The following table shows the weights of 4 pupils.
1- Represent this data by a broken-line graph.
2- Who has the heaviest and lightest weight? ----------------------
Name Ahmed Karim Omar Ali
Weights 20 30 25 35
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Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
3‐The following graph shows the money that Ahmed saved in four
consecutive months.
Complete the table and the graph.
Month January February March April
Amount in L.E ‐‐‐‐‐‐‐‐ 30 ‐‐‐‐‐‐‐‐ 15
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6– It's ………………………………… to love your parents .
7– It's ………………………………… to get the number 7 when you throw a die .
8– It's ………………………………… that the sun will rise from the east .
9– It's ………………………………… that El‐Ahly will win the next match .
10– It's ………………………………… to find two moons in the sky one night .11‐ It's .................................... that the cow is flying.
12‐ It's ................................... to rain gold.
13‐ It's ................................... that the fish live in water.
14‐ It's ...................................to find a man 3 metres long.
15‐ It's ………………………………… to get a tail when you throw a coin .
16‐ It's ................................... that the sun rises in the west.
Date:‐‐‐‐‐ / ‐‐‐‐‐‐ / 2012
2) When we flip a coin , we get a head or a tail :
• The probability of getting a head = .......
• The probability of getting a tail = .......
3) When you throw a dice or a die once
a) The probability of getting an even number = …………… or ……………
b) The probability of getting an odd number = …………… or ……………
c) The probability of getting a number greater than 6 = ……………
d) The probability of getting the number 3 = ……………
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e) The probability of getting a number smaller than 5 = ……………
f) The probability of getting the number 6 = ……………
4) Find the probability of the following stories:
A. In a class of 30 pupils, 13 are boys and 17 are girls. One day ,one of the pupils was
absent. What's the probability of the absent pupil being a boy?
• The probability = ................
B. A box has 3 red balls and 4 yellow balls. One ball is chosen randomly, then:
• The probability of the chosen ball is yellow is ............
• The probability of the chosen ball is red is ..................
C. A basket contains 5 apples, three apples of them are bad. If we draw an apple,
what's the probability of drawing a good apple?
• The probability = ..........................