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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PRACTICE QUESTIONS 02

Practice Questions 02

1.       Find the cube root of 1728

2.       Find the product of ( p+q)(r+s)

3.       Simplify (a+1)(2a-1) – ( 3a -1 )

4.       Find the value 983² – 17²

5.       A machine in a soft drink factory fills 840 bottles in 6 hours. How many bottles will it fill in 5 hours.

6.       15 men can dig a pit in 8 days. How many men can dig it in 6 days ?

7.       Using Euler’s Formula Find the vertices if E=12 , F=6

8.       Find the value of the letters

          12A

   +    6AB

          A09

9.       Divide the sum of -3/4 and 5/6 by their product.

10.   If 3/5 of a number exceeds its 2/7 by 44. Find the number

11.   The student of class VIII of a school donated Rs.2401 in all for prime minister relief fund.Each student donated as many rupees as the number of students in the class.Find the number of students in the class.

12.   Find the square root by long division method 12321

13.   Subtract 6a + b+3c +8 from a-2b-5c-8

14.   Divide 16x⁴ +12x³-8x² - 2x

15.   Factorize 4x²+8x+4

16.   An urn contains 10 red, 12 white , 13 black , 15 yellow ball. A ball is drawn at random .What is the probability that ball draw is

             i)Yellow ball

             ii) Black ball

            iii)Red ball

           iv) White ball

           v) not red

17.   Find the product of ( 4a+9) ( a-6)

18.   Using identity find the value 194 x 206

19.   A famer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle ?

20.   Simply √1204.9 - √125.44

PRACTICE QUESTIONS 01

Practice Questions 01

1. Represent  2 1/5 on number line.

2.What should be subtracted from -4/9 so as to get 5/12

3. Find three rational number between 1/3 and ½.

4. Find the square root by prime factorization method 4096

5.Verify associative of addition  i.e (a+b) +c = a + (b+c)

           a=1/3   b=4/5        c=-1/6

6.Find the sum of 7/8 and its multiplicative inverse

7.Find the cube root of 1331

8.Find the value of 3³ + 3³  + 3³

9.An unbiased die is thrown .Find the probability of getting an odd number .

10.A die is thrown two times . Find the probability of doublet.

11.If 31z5 is a multiple of 3 .What might be the smallest value of z.

12.What is the degree of the polynomial 4x² + 7x +4

13.Expand using identity   (5x – 2y )²

14.The cost of 5 meter of cloth is Rs.400  , Find the cost of 10 meter of cloths.

15.A polyhedron has 7 vertices and 10 faces. How many edges does it have ?

16.Express -5/7 as a rational number with denominator 56

17.Write a Pythagorean triplet whose one member is 6.

18.How many number lies between the square of 13 and 14

19. Construct a bar graph of the data

Eng	Hindi	Maths	Science	Sst
75	70	90	95	80

20. Show that -8/12 and 24/ -36 are equal.

MATHS SAMPLE PAPER

                    SAMPLE PAPER

Class VIII                                                   Mathematics                                                         M.M-90

Instructions:-

1. The question paper is divided into four sections.

2. Section A contains one marks questions, Section B contains two marks questions.

3. Section C contains three marks questions, Section D contains five marks questions.

4. Draw neat figures with pencil/scale wherever required.

Section A

1.       -9/13 lies to the left of zero on the number line. (True /False)

2.       Product of a positive and a negative rational number is ______________

3.       Find the standard form of 192/168

4.       Find the value of  √0.9  x √1.6

5.       The least value of x for which 91876x2 is when divisible by 8 is _________

Section B

6.       Find three rational number between 1/3 and ½.

7.       Find the cube root of 1331

8.       Expand using identity   (5x – 2y )²

9.       The cost of 5 meter of cloth is Rs.400  , Find the cost of 10 meter of cloths.

10.   A polyhedron has 7 vertices and 10 faces. How many edges does it have ?

Section C

11.   If the product of two number is -5/8 and one of them is -3/4. Find the other.

12.   Find the square using identity 98²

13.   Find the least number which must be added to 1750 to make it a perfect square. Also find the square root of the perfect square to obtained.

14.   Simply √1204.9 - √125.44

15.   Add the polynomial  3p-4q+4r , 2p+3q-8r , q-6p+r

16.   Find the product of ( 4a+9) ( a-6)

17.   Using identity find the value 194 x 206

18.   A famer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle ?

19.   Construct a bar graph of the data

Eng	Hindi	Maths	Science	Sst
75	70	90	95	80

  

20.   Show that -8/12 and 24/ -36 are equal.

Section D

21.   Divide the sum of -3/4 and 5/6 by their product.

22.   If 3/5 of a number exceeds its 2/7 by 44. Find the number

23.   The student of class VIII of a school donated Rs.2401 in all for prime minister relief fund.Each student donated as many rupees as the number of students in the class.Find the number of students in the class.

24.   Find the square root by long division method 12321

25.   Subtract 6a + b+3c +8 from a-2b-5c-8

26.   Divide 16x⁴ +12x³-8x²  by  2x

27.   Factorize 4x²+8x+4

28.   Draw a pie chart of the below data.

Color	Blue	Green	Red	Yellow	Total
No of people	18	9	6	3	36

29.   An urn contains 10 red, 12 white , 13 black , 15 yellow ball. A ball is drawn at random .What is the probability that ball draw is

             i)Yellow ball

             ii) Black ball

            iii)Red ball

           iv) White ball

           v) not red

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*Mathematics blog is :- dbs8maths.blogspot.in

*Revise/Read all chapters Main concepts and result (On first page of every chapter of Maths exemplar  book )  

* This is minimum learning material.

SA1 BLUE PRINT

Types of Questions	Marks per question	Total no. of questions	Total Marks
Objective Type	1	5	05
Very Short Answers-Type	2	5	10
Short Answers	3	10	30
Long Answers	5	9	45
Total		29	90