SOME IMPORTANT/BASIC CONCEPTS

SOME IMPORTANT/BASIC CONCEPTS

                                                                    Mathematics

                                                                 Part 01 (Definitions)

1.     Whole numbers:- The numbers 0,1,2,3,4,5,……………etc are called whole numbers.

2.     Even numbers :- The numbers which are divisible by 2 are called even numbers. For example 2,4,6,……etc

3.     Odd numbers:- The numbers which  are not divisible by 2 are called  odd numbers . For example 1,3,5,7,……etc

4.     Prime numbers:- The numbers which are only divisible by 1 or the number itself are called prime numbers. For example 2,3,5,7,…………..etc

5.     Composite numbers : - The numbers Which are not prime are called composite numbers .For example 4,6,8,.etc

6.     Consecutive numbers:- The numbers are called consecutive number when one number is successor of the other. For example 3,4,5,6 are consecutive numbers.

7.     Rational numbers :-A number which can be expressed if the form of p/q are called rational numbers. For example 2/7 ,3/8 etc

8.     Proper fraction :- When numerator is less than the denominator , the fraction is called proper fraction. For example 2/5, 1/8 ………. Etc

9.     Improper fraction :- When numerator is greater than the denominator , the fraction is called improper fraction. For example :- 3/2,5/2 ………..etc

10.  Mixed fraction:- In mixed fraction there is a whole number along with proper fraction. For example 2 ¼ , Here 2 is whole number and ¼ is proper fraction.

11.   H.C.F ( Highest common factor):- The H.C.F of two or more numbers is the largest or the highest among common factors.

12.   L.C.M ( Least / Lowest common multiple ) :- The L.C.M of two or more numbers is the smallest number which is a multiple of each of the given numbers.

13.   Full form of BODMAS ( Bracket of division multiplication addition subtraction )

14.   Perimeter/area :- Perimeter is the distance around the figure and area is the measure of the part of a plane.

15.  Value of Pi ( π ) = 22/7 or 3.14……….

16.  Acute angles :- Angles  between 0⁰ to 90⁰ ( Less than 90⁰) are known as acute angles .For example 30⁰

17. Obtuse angles :- Angles between 90⁰ and 180⁰ (greater than 90⁰ and less than 180⁰)are known as obtuse angles . For example 145⁰

18.  Complementary angles:-Two angles are said to be complementary if the sum of their measures is 90.

                                                        Part 02 ( BASIC CONCEPTS)

19.  Indian number system ( Write the number name according to Indian number system 987654231)

20.   International number  system ( Write the number name  132456789

21. Multiplication of large numbers (Multiply 325698 x 989)

22.  Conversion of units ( Convert 165 cm into m ) 

23. Division of large numbers ( Divide 9874562 by 932 )

24.Operations on integers ( Solve -32+21-32x2+16 / 2 )

25. Standard / Simplest form of number ( Find the standard form of -48/60 )

26 H.C.F ( Find the H.C.F of 18,24 and 60)

27.   L.C.M ( Find the L.C.M of 40,30,25 and 20)

28. Find the prime factor of 48

29.   Addition of decimals ( Add the decimals 3.14,4.568,21.036,478.368)

30.  Multiplication of decimals ( Multiply the decimals  32.14 x 12.45 )

31.   Divisibility test of 2,3,4,5,6,7,8,9,10,11  ( Find whether 231456 is divisible by 3 , 6 or not )

32.    To convert mixed fraction into improper fraction. (Convert 2 ¼ into improper fraction )

33.  To convert unlike fraction into like fraction .( Convert ¾,4/5 and 2/7 into like fractions)

34.   Addition of fractions ( Add 2/3 + 3/5 + ½ )

35.   Subtraction of fractions ( Subtract 11/12 – 5/9)

36. Multiplication of fractions ( Multiply  8/5 x 7/9)

37. Division of fractions   ( Divide ¾ by 4/8 )

38. Square of number ( Find the square of 14)

39. Draw the Shape/ figure of trapezium, parrallogram, hexagon and cylinder.

40.  Evaluate (15⁴ x 18³) /  (3⁵ x 5² x 12² )

41.Find the value if p=-2 and q=3 (  Find the value of 2p²+3q)

                                                        Part 03 (Formulas)

42.                        Perimeter of a regular polygon :- No of sides x length of one side.

43.                         Perimeter of square :- 4 x side

44.                        Perimeter of rectangle :- 2(length + breadth)

45.                        Area of square :- Side x side

46.                        Area of rectangle :- Length x breadth

47.                        Area of parrallogram :- base x height

48.                        Area of triangle :- ½ x base x height

49.                        Circumference / Perimeter of circle = 2 π r ( r is the radius of the circle )

50.                        Area of circle = π x r x r or πr²

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MATHS WORKSHEET 02

Mathematics Worksheet 02

Class V

1. Draw the following

a) Plane q

b) Ray MN

2. Draw a line segment MN mark a point X between M and N .Now draw a ray XY

3.  Define the following terms

i) Collinear points

ii) Intersecting lines

iii) Reflex angle

iv) Straight angle

v) Complete angle

Vi) Concurrent lines

4. Draw an angle of 60⁰, 40⁰, 45⁰, 175⁰, 160⁰ with the help of protector.

5. Draw an angle of 30⁰, 60⁰, 90⁰,120⁰ with the help of compass.

MATHS WORKSHEET 01

               Mathematics Worksheet 01

   Class V

1.       Find difference of the place-value of the following underlined digits

              7425743

2.       Find sum of place –value and face value of underlined digits

              530483

3. Express 4356709 in the expanded form.

4. Mr. Sharma bought a car at a show room price of Rs. 16,30,694 . He spent Rs. 26,975 on  

    accessories and paid Rs.64,765 on registration ,insurance and road tax. What was the total  

    amount he paid for the car ?

5. Multiply 23450 x 125

6 .There are 1627 children in a school .Each child pay fee of Rs. 917 per month. How much money is     collected by the school in a month ?

7. An amount of Rs. 2,40,650 were to be divided among 40 workers. How much would each worker  

    get ? Was there any money left over ?

8. If there are 488 pages in a book and there are 17 such books. How many pages will be there in all  ?

9. What is the difference between greatest six digit and smallest five digit number.

10. As per the 2011 census Delhi has 8976410 males and 7,776,825 females. What is the total

      population of Delhi.

11. Find H.C.F of 48,60 and 72.

12. Find L.C.M of 12,30 and 32 by prime factorization method and division method.

13. The H.C.F of two number is 15 and the L.C.M is 45 , if one number is 27, find the other.

14. Three bells of a temple began ringing at 8 am . The first bell rings after every thirty minutes , the

      second after every forty five minutes and third after every fifteen minutes. At what time will they      ring together again.

15.  Find  prime factorization of 80.

16. Mr. Trivedi jogged 2/5 of the park and his neighbor Mr.Diwedi  jogged ¾ of the park. Who          

     jogged more.

17. Veena has been told to drink 1 ¼ l milk everyday but she drank 4/5 of it .How much milk is still

      left to be drunk.

18 .How many pieces of length 1 ¾ can be cut from a wire of length 56 m ?

19. The cost of a notebook is Rs. 15 ½ . Find the cost of a dozen such notebooks ?

20. Find the sum of following decimals 3cm + 4.3 cm+9.8 cm

21. Find the difference of 2.093 and 1.057

22. Subtract 24.5 from 27.006

23. Compare the following decimals using sign <, >  or =

    i) 0.97 and 0.975

    ii)23.45 and 29.456

24. Arrange the following decimals in ascending order

0.5, 0.45,0.005,0.036

25. a)Find the place value of the following underlined digit

                  i) 319.665    ii) 275.469

     b) Write the expanded form of 617.807 

 26. Convert the fraction into decimal.

    52/1000

27. Convert the decimals into fractions.

     93.013

28. Write the standard form of ( 5 x 100) + (9x 10) +( 5x 1) + ( 4x 1/10) +(3 x 1/1000)

29. a) Find the product of 3.12 and 1.6

      b)Divide 36.54 by 4

30.The H.C.F of two number is 16 and their product is 3072. What is their L.C.M 

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