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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