MATHS ASSIGNMENT .–MEAN, MEDIAN & MODE_02.12.2016

CLASS – VII MATHS ASSIGNMENT

       MEAN, MEDIAN & MODE

1.Find the mean  of first six multiple of 4

2.Find the mean of first five multiple of 10.

3.Find the mean of first 5 even numbers.

4.Calculate median of the data 5,10,10,12,13

5.Find the median of first 20 odd numbers.

6.Find the median of first 7 even natural numbers.

7.Find the median of the data

2,1,6,5,1,3,2,2,4,6,2,1,4,3,5

8.Find the mode 1,3,5,4,1,2,3,4,3,6

9.Find mean, median and mode

a) 4,2,2,1,3,2,3

b) 4,3,4,3,4,6,4

10.Find range of the data

24,32,84,55,60,72,15,10,12

11.Find the value of x if range of following data is 25

24,12,10,9,6,x

12.Find the mean of first five prime numbers.

13.Find the mean of first five composite numbers

14.If mean of data 8,4,x,6,2,7 is 5 , then find the value of x.

15.Find median of data if mean is 4.5

5,7,7,8,x,5,4,3,1,2

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PRACTICE QUESTIONS(11.11.2016)_COMPARING QUANTITIES

PRACTICE QUESTIONS(11.11.2016)

      COMPARING QUANTITIES

1.       Find the ratio of

i)                    20 m to 200 cm

ii)                  30 days to 36 hours

iii)                15 kg to 210 gm

iv)                9 m to 27 cm

2.       Compare

i)                    5:12 or 3:5

ii)                  3:7 or  4:9

3.       Express in simplest form

i)                    60:90

ii)                  80:480

4.       Find  two equivalent ratio of 12:8

5.       If 12 bowls cost Rs. 72. What will be the cost of 20 such bowls?

6.       The cost of 20 kg of milk is Rs.500. Find the cost of 59 kg of milk.

7.       Find the value of x

i)                    16:8 ::7:x

ii)                  36:45::16:2x

8.       Convert into fraction

i)45 %    ii) 42.5 %

9.       Convert the following decimals to percent.

i)                    0.56   ii) 0.75

10.   Find

i)                    15 % of 250

ii)                  1 % of 1 hour

iii)                20% of Rs. 2500

iv)                75% of 1 kg

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WORKSHEET(SIMPLE EQUATIONS) _05.11.2016

                                            7^th Worksheet _05.11.2016

1.Solve for x 2(x-4)-3(x-6)=44

2.Find the value of x  2x/3 + 3/7= 8/11

3.Find the root/solution of the equation 2x/3 +6=12

4.6 times a number is 14 less than thirteen times the same number. Find the number.

5.One of the two number is four times the other . The sum of the number is 100 . Find the numbers.

6.The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.

7.The perimeter of a rectangle is 92 m. The length of the rectangle is  6 m more than 4 times its breadth . Find the length of the rectangle.

8.A number when divided by 6 gives the quotient 14 . What is the number ?

9.If 52 is added to one-fourth of a number, the result is four times the number . Find the number.

10.In a class of 200 students .The number of girls is one-third the number of boys. Find the number of girls and boys in the class.

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WORKSHEET 04 (SIMPLE EQUATIONS)_28.10.2016

                        7^th Worksheet 04  (Simple Equations)

1.Solve the equations  2p/3 -5 =3

2.Check whether  value given in the brackets is a solution to the given equation or not    4p-3=13 ( p=-4)

3.Construct 3 equations starting with x=2

4.The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.

5.Irfan says that he has 7 marbles more than five times the marbles Parmeet has. Ifran has 37 marbles .Find the number of marbles parmeet’s has?

6.The teacher tells the class that the highest marks obtained by a student  in her class is twice the lowest marks plus 7. The highest score is 87.What is the lowest score?

7.One-third of a number is less than original by 10. Find the number.

8.After 23 years monu will be 4 times as old as he was 4 years ago. Find his present age.

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REASONING APTITUDE TEST_25.10.16

Write the synonyms of

1.Corpulent

a) Obese  b) Emaciated c) Gaunt d) Lean

2. Embezzle

a) Misappropriate  b) Balance  c) Remunerate  d) Clear

3.August

a) Common  b) Ridiculous c) Dignified d) Petty

4.Alert

a) Energetic  b) Observant  c) Intelligent  d) Watchful

5.Warrior

a) Soldier  b) Sailor  c) Pirate  d) Spy

Write the antonyms of

6.Enormous

a) Soft  b) Average  c) Tiny  d) Weak

7.Artificial

a) Red  b) Natural  c) Truthful  d) Solid

8.Relinquish

a) Abdicate  b) Renounce  c) Possess  d) Deny

9.Mortal

a) Divine  b) Immortal  c) Spiritual  d) Eternal

10.Quiscent

a) Active  b) Dormant  c) Weak  d) Unconcerned

BREAK THE CODES

11.In a certain language , COULD  is written as BNTKC and MARGIN is written as LZQFHM, how will MOULDING be written in that code

a) CHMFINTK  b) LNKTCHMF   c) LNTKCHMF   d)  NITKHCMF

LOGICAL PROBLEM

12.T is older than E, C is older than T, E is older than C, if the 1^st two statements are true , the 3^rd is

a) False  b) True   c) Uncertain 

13.If rain is water, water is road, road is cloud, cloud is sky, sky is sea and sea is path, where do aeroplanes fly ?

a) Road  b)Sea  c) Cloud  d) Water

14.Vimal is 7 ranks ahead of sarthak in a class of 39.If sarthak’s rank is 17^th from the last , what is vimal’s rank from the start?

a) 11^th   b) 13^th   c)   16^th   d) 18^th

Ordering of the words

15.Then

P: it struck me

Q:of course

R:Suitable it was

S: How eminently

a)    SPQR  b) QSRP  c)   PSRQ   d) QPSR

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WORKSHEET_22.10.2016

7^th Worksheet

1.     Write equation for the following statements

i)                   The sum of a number x and 4 is 9

ii)                2 is subtracted from y is 8.

iii)              2 times a is 70

iv)              Ten times a is 100

v)                 The number b is divided by 5 gives 6

vi)              If we add 3 to one third of z , we get 30

vii)            The sum of numbers x and 15 is 29

viii)         10 is subtracted from y is 35

ix)              The number y is divided by 8 gives 5

x)                 If you add 2 to one-fourth of x , you get 8

xi)              The sum of number 8 and y is 16

xii)            12 is subtracted from x is 40.

xiii)         8 times x is 80.

xiv)          The number x is divided by 10 gives 8

xv)            If you add 4 to one-third of x, you get 20.

2.     Write the following equations in statement form

i)                   p+4=15

ii)                 m-7=3

iii)              m/5=3

iv)              2m=8

v)                 4p-2=18

vi)              p/2 + 2=8

vii)            x +9=12

viii)         a-8=10

ix)              y/3=6

x)                 3x-8=2

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ASSIGNMENT (SIMPLE EQUATIONS)

1.       Find the solution of the equation    7x +4 = 25
2.       If K+7=16, then find the value of 6k=74
3.       The length of a rectangle is two times its breadth .Its perimeter is 60 cm . Write the equation and find the length and breadth of the rectangle.
4.       Find the value of x
i)                    9/5 x = 18/5
ii)                   X – ½= - ½
5.       If 45 is added to half of a number , the result is triple the number. Find the number
6.       Solve the following simple equations
i)                    6(x-3) + 2(x+3) =26
ii)                   (x-5)/3 – 4 = -2
iii)                 17(2-3x) -15(2x-3)=17
iv)                 0.4x+0.3=0.32x+2.16
7.       Find a  number which when multiplied by 6 is increased by 90.
8.       Ramu’s father is four times as old as Ramu. If sum of their age is 50 years. Find their ages.
9.       In a class of 55 students the number of girls is 5/6 times the number of boys. Find the number of boys and girls in the class.
10.   Honey thinks of a number . If he takes away 7 from 5/2 of the number , the result is 11/2.Find the number.  

SIMPLE EQUATIONS ASSIGNMENT (02)

SIMPLE EQUATIONS ASSIGNMENT (02)

SIMPLE EQUATIONS ASSIGNMENT (01)

SIMPLE EQUATION ASSIGNMENT (01)

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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REVISION 02 ( Rational no,Algebraic exp,Exponents and powers)

                                              QUICK REVISION 02

       Chapters:- Rational numbers, Algebraic expression , Exponents and powers

(Revise First page of every chapter important points and results)

             CHAPTER – RATIONAL NUMBERS

TYPE 1 Define Rational number.

 Rational number are those numbers which can be expressed in the form of p/q , where q is not equal to 0.

TYPE 2 Positive and negative number

Q. Find the positive and negative number

1/5,    6/7,     -4/5

TYPE 3 Standard form (reduced/Simplest form)

Q1 Reduced -35/40    ,-48/36     and      5/20 in standard form

TYPE 4 Generate equivalent rational numbers

Q1 Write 4 rational number equivalent to 5/7

TYPE 5  Comparing rational numbers

Q1 Arrange the following rational number in ascending order 4/7,   5/8,    6/7

Q2.Write five rational number between ½ and 1/3

TYPE 6 Represent rational numbers on number line

Q1 Represent 3/5 and -3/5 on number line.

TYPE 7 Operations on rational number i.e addition,subtraction,multiply and divide

Solve

i)                    ¼ +2/6

ii)                   2/6-5/7

iii)                 2/9 x 5/11

iv)                 Divide 6/14 by 9/12 

TYPE 8 Additive inverse of rational number

Additive inverse of x /y is – x/y

Q. Find the additive inverse of 4/11

Ans :- The additive inverse of 4/11 is -4/11

Practice questions(integers) from Math’s Exemplar

S.no	Example/Question no	Page No
1	12	239
2	14	240
3	10	235
4	68	248
5	72	248
6	86	250
7	95	251
8	99	252
9	100	252
10	93	251

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CHAPTER – ALGEBRAIC EXPRESSION

TYPE 1 Understand variable, Constant, terms, factors and coefficients

2x+ 4y +6

Variable is x and y

Constant is 6

Terms are 2x , 4y and 6 ( 3 terms )

Coefficient of x is 2 and coefficient of y is 4

TYPE 2 Types of polynomial

i)                    Monomial – single term   eg. 2x

ii)                   Binomial – Two terms    eg. 2x + 4y

iii)                 Trinomial – three terms   eg. 2x + 4y + 3

TYPE 3 Like and unlike terms

Like terms:- These are the terms whose  variable (other name of variable is literals) factor are the same.  Eg. 2x² , -6x²

UnLike terms:- These are the terms whose  variable (other name of variable is literals) factor are the different.  Eg. 2x² , -6y²  

TYPE 4 Addition/Subtraction of like terms

Q1 Add 4x + 3y -5z , -7z +5x – 8y and –y-3x +2z

Q2 Subtract 4a+3b-6 from 10a +7b-11

TYPE 5 Find the value of the expression

Q1 Find the value if a+2, b= -1 and c=1

a² + b² +c² – ab – bc –ca

(base)^Power – if base  and power is positive then value is always positive whereas if base is negative , value is depends on power i.e if power is odd then value is always negative  and if power is even then value is always positive

Practice questions(integers) from Math’s Exemplar

S.no	Example/Question no	Page No
1	13	309
2	15	310
3	53	318
4	56	318(b,e part
5	57	320 (c, d,e part)
6	58	321 (d,g,j part)
7	59	321 (a part)
8	61	321
9	65	322
10	71	322

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CHAPTER – EXPONENTS AND POWERS

TYPE 1 Base and power

What is base and power of 2⁶

TYPE 2 Express as a power

Q1 Express 625 as a power and write its base and power

TYPE 3 Simplify

Q1 ( -4 )³ x (-10)⁵

TYPE 4 Laws of exponents

On first page on chapter (Maths exemplar)

TYPE 5 Standard form

Q1 Write in standard form  35494.8

 TYPE 5 Usual form

Q1 Write in usual form 9563.42 x 10⁶

TYPE 5 Additive inverse

Write the additive inverse of 3/7

Practice questions(integers) from Math’s Exemplar

S.no	Example/Question no	Page No
1	10	335
2	11	335
3	12	335
4	67	343
5	69	343
6	72	343 (part b,d,f)
7	73	344
8	82	345
9	84	345 (b,e part)
10	85	346( c,f,g part)

*These are minimum learning /practice questions .

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