Class 4 Maths Learning Papers - SYNA International … 4 Maths Learning...LEARNING PAPERS FOR CLASS...

MATHS DEPARTMENT SYNA INTERNATIONAL SCHOOL CLASS IV

LEARNING PAPERS FOR CLASS IV

TABLE

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2 X 1 = 2

2 X 2 = 4

2 X 3 = 6

2 X 4 = 8

2 X 5 = 10

2 X 6 = 12

2 X 7 = 14

2 X 8 = 16

2 X 9 = 18

2 X 10 = 20

3 X 1 = 3

3 X 2 = 6

3 X 3 = 9

3 X 4 = 12

3 X 5 = 15

3 X 6 = 18

3 X 7 = 21

3 X 8 = 24

3 X 9 = 27

3 X 10 = 30

4 X 1 = 4

4 X 2 = 8

4 X 3 = 12

4 X 4 = 16

4 X 5 = 20

4 X 6 = 24

4 X 7 = 28

4 X 8 = 32

4 X 9 = 36

4 X 10 = 40

5 X 1 = 5

5 X 2 = 10

5 X 3 = 15

5 X 4 = 20

5 X 5 = 25

5 X 6 = 30

5 X 7 = 35

5 X 8 = 40

5 X 9 = 45

5 X 10 = 50

6 X 1 = 6

6 X 2 = 12

6 X 3 = 18

6 X 4 = 24

6 X 5 = 30

6 X 6 = 36

6 X 7 = 42

6 X 8 = 48

6 X 9 = 54

6 X 10 = 60

7 X 1 = 7

7 X 2 = 14

7 X 3 = 21

7 X 4 = 28

7 X 5 = 35

7 X 6 = 42

7 X 7 = 49

7 X 8 = 56

7 X 9 = 63

7 X 10 = 70


2

8 X 1 = 8

8 X 2 = 16

8 X 3 = 24

8 X 4 = 32

8 X 5 = 40

8 X 6 = 48

8 X 7 = 56

8 X 8 = 64

8 X 9 = 72

8 X 10 = 80

9 X 1 = 9

9 X 2 = 18

9 X 3 = 27

9 X 4 = 36

9 X 5 = 45

9 X 6 = 54

9 X 7 = 63

9 X 8 = 72

9 X 9 = 81

9 X 10 = 90

10 X 1 = 10

10 X 2 = 20

10 X 3 = 30

10 X 4 = 40

10 X 5 = 50

10 X 6 = 60

10 X 7 = 70

10 X 8 = 80

10 X 9 = 90

10 X 10 = 100

11 X 1 = 11

11 X 2 = 22

11 X 3 = 33

11 X 4 = 44

11 X 5 = 55

11 X 6 = 66

11 X 7 = 77

11 X 8 = 88

11 X 9 = 99

11 X 10 = 110

12 X 1 = 12

12 X 2 = 24

12 X 3 = 36

12 X 4 = 48

12 X 5 = 60

12 X 6 = 72

12 X 7 = 84

12 X 8 = 96

12 X 9 = 108

12 X 10 = 120

13 X 1 = 13

13 X 2 = 26

13 X 3 = 39

13 X 4 = 52

13 X 5 = 65

13 X 6 = 78

13 X 7 = 91

13 X 8 = 104

13 X 9 = 117

13 X 10 = 130

14 X 1 = 14

14 X 2 = 28

14 X 3 = 42

14 X 4 = 56

14 X 5 = 70

14 X 6 = 84

14 X 7 = 98

14 X 8 = 112

14 X 9 = 126

14 X 10 = 140

15 X 1 = 15

15 X 2 = 30

15 X 3 = 45

15 X 4 = 60

15 X 5 = 75

15 X 6 = 90

15 X 7 = 105

15 X 8 = 120

15 X 9 = 135

15 X 10 = 150


1) NUMBERS AND NUMERATIONS

• 4 Places in 4 digit numbers are

Thousand , Hundred, Tens , Ones


Ten Thousand , Thousand , Hundred, Tens , Ones


Lakh, Ten Thousand , Thousand , Hundred, Tens , Ones

Lakhs Period Thousands Period Ones period

Lakh Ten Thousand Thousand Hundred Tens ones

1 3 8 6 9 4

1,38,694 = One lakh Thirty eight thousand Six hundred ninety four

Expanded Form :

• Ist method ‐ Find out how many ten thousand , thousands, hundred , tens, ones are there ?

• IInd method – Find the places values of the digits of a number .

Ex. 93,827 (WITH BOTH THE METHODS )

Ten Thousands Thousands Hundreds Tens Ones 9 3 8 2 7

3


+ 9 ten thousands +3 thousands + 8 hundreds +2 tens +7 ones + 90,000 + 3 ,000 + 800 + 20 +7

Place value and face value

• Place value of a digit in any number is the position of that digit in that number

• Face value of a digit is always the same digit itself .

Ex: Write place value and face value of 3 in the given number 23,456

solution : Place value is thousand i.e. 3 X 1000 = 3000 is the place value.

Face value of 3 is number itself i.e. 3

Comparison of numbers

• The number with more number of digits is always greater.

• If number of digits are same , start from the left and compare the digits until you find two different

digits at the same place.

Forming the smallest and the greatest number

• For greatest : Arrange the numbers in descending order.

• For smallest : Arrange the numbers in ascending order.

If one of the digit is 0 so, put 0 at second place from left.

ROUNDING OFF NUMBERS

Nearest tens: 1) Digit at ones place less than 5, replace it by 0.

2) If it is greater than 5, replace it 0 and add 1 to the digit at ones place.

Ex. 73 rounds to 70

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Nearest hundreds:1) Digit at ones place is replace by 0,look at digit at tens place.


2) If less than 5 replace it by 0.

3) If it is 5 or greater, replace it by 0 and add 1 to the digit at hundreds place.

4) The other digits will remain the same.

Ex. 743 rounds to 700

Nearest thousand:1) Digit at ones and tens place is replace by 0,look at digit at hundred place.

2) If less than 5 replace it by 0.

.3) If it is 5 or greater, replace it by 0 and add 1 to the digit at thousand place.

4) The other digits will remain the same.

Ex. 1589 rounds to 2000

ROMAN NUMERAL

Roman numerals are a numeral system of ancient Rome based on letters of the alphabet, which are combined to signify the sum (or in some cases, the difference) of their values. The first ten Roman numerals are

I‐ 1 , V‐5 , X‐ 10 , L‐ 50 , C‐100 , D‐500 , M or K‐ 1000

1) When a symbol of lower value is placed on the left of a symbol of higher

value then its value is subtracted . Ex. IV – 4

2) When a symbol of lower value is placed on the right of a symbol of higher value then its value is added .

Ex.. V I– 6

3) For larger number a bar (‐) is used when its placed over a numeral its value is multiplied by 1000.

4) No symbol can be repeated more than three times. Repetition of Roman numerals means addition.

Ex : CCC, XXX.

5) The symbols V, L and D can never be repeated and never be subtracted.

Test yourself :

• Write place value and face value of 9 in 89,232.

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• Write 34,679 in expanded form.

• Put the missing commas.

• Compare 32,458 [ ] 32,551

• Write in Roman numeral : 25,60, 36

2) MULTIPLES AND FACTORS

• Even numbers: Numbers divisible by 2. Eg : 2,4,6

• Odd numbers: Numbers not divisible by 2. Eg: 3,5,7

• Test for Divisibility:

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• By 2 : Last digit of the number should be evn number. Eg: 0,2,4,6,8


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• By 3 : The sum of the digits of the number should be divisible by 3.

• By 5: Last digit of the number should be 0 or 5.

• By 10: Last digit of the number should be 0.

Factor : A number is a factor of another large number if it divides the larger number exactly.

Or

The numbers which we multiply to get a product are called factors

Ex. 4 and 12 are the factors of 48 because 4 X 12 = 12

o 1 is factor of every number.

o A number is a factor of itself

o Factor of a number is either less than or equal to the number.

Multiple : Multiple of any number is a number which can be exactly divided by that number.

Ex. 81 is a multiple of 9 because 81 is completely divisible by 9.

A number can have unlimited multiples.

Factor Tree : Representation of factors in the form of a tree. Ex. 36

Test yourself :

• Draw a factor tree for 81.

• Write six multiples of 10.

• Write first five common multiples of 2 and 3

http://www.google.co.in/imgres?imgurl=http://www.gradeamathhelp.com/images/factor-tree-2.jpg&imgrefurl=http://www.gradeamathhelp.com/factor-tree.html&usg=__NWea8FTZO5QdQUyDj49H463ur38=&h=183&w=382&sz=6&hl=en&start=1&zoom=1&tbnid=H2C-HMzXwditcM:&tbnh=59&tbnw=123&ei=vhqcTb6DN4juuAPEx4CwBw&prev=/search?q=factor+tree+of+36&hl=en&sa=X&tbm=isch&prmd=ivns&itbs=1


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3) FRACTION :

A number in the form of p/q, in which number above the line segment ( ‐‐‐‐ ) is known as numerator and the

number below the line segment is denominator.

Numerator: Shows how many parts we are talking.

Denominator : Shows the total number of parts the whole object has.

been divided into.

• Like Fraction : Fractions with same denominator.

• Unlike Fraction : Fractions with different denominator

• Mixed fraction : Quotient X Reminder/ Divisor

• Improper fraction:(Whole number part X Denominator ) + Numerator/same denominator

• Unit fraction : A fraction with numerator 1 .

• Equivalent fraction : Multiply Numerator and Denominator by a common number.

Comparison of like fractions :

We compare the numerators only and the fraction with the greater numerator is greater.

85

83

Ex. >


4) GEOMETRY

• Closed curve : A figure is said to be closed if its ends are joined otherwise its open open curve.

• Polygons: A simple closed figure made of line segments only are called polygons.

Eg. Triangle, quadrilateral, pentagon ,hexagon

• Triangles: A polygon with 3 sides.

• Quadrilateral: A polygon with 4 sides

Examples: Square‐ all sides equal.Rectangle: opposite sides are equal

• Pentagon: A polygon with 5 sides.

• Hexagon: A polygon with 6 sides.

• Circle and its parts : Closed figure each of whose points is equidistant from a fixed point inside it.

• Radius: A radius of the circle is that line which joins centre of the circle with any point of the circle.

• Diameter : A diameter of the circle contains two radii of the circle.

Therefore, Diameter = 2 X radius.

• Plane Surface : Those can be touched by the ruler everywhere.

• Curved surface: Those cannot be touched by ruler.

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• Edges:


Curved edges Straight edges

• Shapes

2‐ Dimensional shapes 3‐ Dimensional shapes

2‐D shapes shows length and breadth of an object .

3‐D shapes shows length, breadth and height of an object .

• Circle :

Locus of all those points which are equidistance from a fixed point.

Parts of the circle:

i) Radius: A radius of the circle is that line which joins centre of the circle with any point of the circle.

More than 1 radius is called radii

ii) Diameter : A diameter of the circle contains two radii of the circle.

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Therefore, Diameter = 2 X radius.

http://mlcswoodworking.com/orderstatus/html/smarthtml/graphics4/flexible_curve_closeup88.jpg


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iii) Semi circle: a diameter divides the circle into two halves,each is called semi circle.

iv) Circumference: The length of the boundary of a circle or its perimeter.

Circumference= 2 = 722

}

v) Chord: A line segment joining two points on the circle.

vi) Arc: An arc is a part of the circle.

vii) Concentric circles : Two or more circles having same centre.

Test yourself :

M

• Fill the blank with the help of the figure.

Largest chord …… A B

Radii……………. C D

Centre of the circle ……

Diameter ……….

• Two two examples of 2‐D and 3 –D figure.

5) AREA AND PERIMETER

• Line segment- The shortest distance between two points.

• Perimeter- The length of the boundry of the closed figureis called its perimeter.

OR


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Sum of all the sides

Rectangle – L+B +L+B or 2(L+B) Square = 4 x Side

6) MONEY

A rupee is further divided in 100 equal parts and each part is called a paisa.

Re 1 = 100 paisa

Unit of money of a country is generally called the currency of that country.

7) MEASUREMENT OF LENGTH,MASS AND CAPACITY

• System of measurement is known as metric system.

• A unit which majority of the people use as a basic unit of measurement is called a standard unit

Conversions: To convert a bigger into smaller unit , we multiply by 10,100 or 1000

Ex. 14m into cm = 14 X 100 =1400 cm

To convert a smaller into bigger unit , we divide by 10,100 or 1000

Ex. 14m into km = 14 /1000 =0.014 km

8) TIME

1 hour = 60 mins

21

a) Half an hour= X 60 = 30 minutes

b) Quarter of an hour = = 41 X 60 = 15 minutes


c) Three Quarters of an hour == 43 x 60 = 45 minutes

d) Time from 12 o’ clock noon to 12 o’ clock mid night is shown by letters pm (post meridian)

e) Time from 12 o’ clock midnight to 12 o’ clock noon is shown by letters am (ante meridian)

h) Time according to 24 ‐ hour clock is always expressed in 4‐ digit number.

g) The last two digits show minutes like 15 : 30 hours. (30 minutes)

CALENDER

• 1 year = 12 months

• 1 week = 7 days .

• 1 year = 52 weeks.

• 1 Millenium = 1000 years

• Half Millenium = 500 years

• 1 century =100 years

• 1 Decade = 10 years

The earth completes one round around the sun in 365and ¼ days. But ¼ th day is not counted in every year

. Thus in four years this ¼ th day adds upto 1 day. This one day is added in every fourth year . This year is called a leap year. So a leap year has 366 days.This additional day is counted in the monh of February. Therefore ,a leap year is a year which has 29 days.

9 ) DATA HANDLING

• Data : A data is a collection of facts and figures

• Pictograph: A pictograph shows the information in the form of pictures and symbols.

• Tally Marks: Representation of numbers in the form of vertical lines.

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• Bar graph: A graph consisting of parallel, usually vertical bars or rectangles .


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• Pie chart: circular graph having radii dividing the circle into sectors proportional in angle.

Pie chart Bar graph

10 ) SYMMETRY

Symmetry is when one shape becomes exactly like another if you flip, slide or turn it.

Test Yourself

• Draw line of symmetry in the following:

http://www.google.co.in/imgres?imgurl=http://www.mathsisfun.com/definitions/images/bar-graph.gif&imgrefurl=http://www.mathsisfun.com/definitions/bar-graph.html&usg=__JAHjF3eHYLwITXRlXBAw2qtqsMY=&h=247&w=332&sz=8&hl=en&start=1&zoom=1&tbnid=msOLQIXeBDCRbM:&tbnh=89&tbnw=119&ei=K0ydTeHbC4O8vwPlj4W5BA&prev=/search?q=definition+of+bar+graph&hl=en&sa=X&tbm=isch&prmd=ivns&itbs=1


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Date post:	26-Mar-2018
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Class 4 Maths Learning Papers - SYNA International … 4 Maths Learning...LEARNING PAPERS FOR CLASS...

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