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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