CLASS: VI - MATHS ASSIGNMENT ( RATIO & PROPORTION )_02.12.2016

CLASS: VI  - MATHS ASSIGNMENT

RATIO & PROPORTION

1.Find the ratio of

i) Rs 8 to 80 Paise

ii) Rs 5 to 75 Paise

iii) 3 km to 30 m

iv) 6 km to 700 m

v)8 m to 60 cm

vi)60 cm to 1.8 m

vii) 20 g to 2 kg

viii)3 kg to 50 g

ix)36 min to 2 hour

x) 7 days to 2 week

2.Find the value of x if the following are in proportion

i) x:8::12:32

ii)3:5::x:20

iii) 8:x::32:4

iv)16:40::24:x

v) x:24::9:12

3.Which ratio is larger 10:21 or 21:93 ?

4.Which ratio is smaller 7/11 or 5/7 ?

5.In a year , Amit earns Rs.480000 and paid Rs.24000 as income tax. Find the ratio of his

a) Income to income tax

b)Income tax to income after paying income tax

6.Of the 388 persons working in a company, 120 are men and the remaining are women. Find the ratio of the number of :=

a) Men to that of women

b) Men to the total number of persons.

c)Women to the total number of persons.

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CLASS: VI - MATHS ASSIGNMENT (UNITARY METHOD)

CLASS: VI  - MATHS ASSIGNMENT

UNITARY METHOD

1.A man bought 15 mangoes for Rs. 300. What will be the cost of 35 mangoes ?

2.A vehicle has got 14 wheels. How many wheels will 12 vehicles have in total ?

3.A boy studies for 18 hours in 6 days. How many hours will he study in 15 days?

4.In a rack there are 650 books .How many books will be there in 5 racks .

5.A car can travel 140 km in 7 litres of petrol.How much distance will it travel in one litre?

6.A bus travels a distance of 75 km with 15 litres of diesel. How far it can travel with 25 litres of diesel ?

7.Three books of same shape and size contains 360 pages.How many books will be having 480 pages ?

8.A man can type 360 words in 5 minutes.How many words will he type in one minute ?

9.Piyush earns Rs. 24000 in 8 months. At this rate , how much does he earn in one year ?

10.Ram charan spends Rs. 50000 in 5 years. How much he will be spending in 3 years ?

11.If a person can walk 24 km in 5 hours , how much distance will he travel in 3 hours?

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PRACTICE QUESTIONS_29.11.16

1.Determine the following numbers are in proportion
a) 150,200,250,300b) 33,121,9,962.Find x if 55:11::x:63.Determine if the following ratios form a proportion200 ml:25 l and Rs 4: Rs 504.An electric pole casts a shadow of length 20 m at a time ,when a tree 6 m high casts a shadow of length 8 m, find the height of the pole.

Practice Questions_11.11.2016

Class VI                          Practice Questions_11.11.2016

1.Simplify 8 5/6 – 3 3/8 + 2 7/12

2.Of ¾ and 5/7, which is greater and by how much?

3.A piece of wire 2 ¾ m long, broke into 2 pieces. One piece is 5/8 m long. How much is the other piece?

4.Subtract 1 5/6 from 8.

5.What fraction of complete angle is straight angle.

6.Reduce 84/98 to the simplest form.

7.The mode of travelling to school by 160 students are given  below.

Mode	No of students
By walking	30
On bicycle	50
By car	15
By bus	70
By auto	85

Draw a bar graph

8.Convert 4 7/8 into decimals.

9.Ramesh covers 36 km 235 m by taxi, 285 m by rickshaw and 1 km 380 m on foot. What is the total distance covered by him ?

10.Simplify  76.3 – 7.666-  6.77

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WORKSHEET(DATA HANDLING)_05.11.2016

                        6^th Worksheet (DATA HANDING )_05.11.2016

1.Thirty students were interviewed to find out what they want to be in future. Their responses are listed as below:

Doctor,engineer, doctor, pilot,officer, doctor, engineer, doctor, pilot, officer, pilot , engineer,officer, pilot, doctor, engineer, pilot , officer, pilot, officer, doctor, pilot, doctor, engineer, doctor, engineer, pilot, officer, pilot ,officer.

Arrange the data in a table using tally – marks.

2.The number of stools in 5 rooms of a school are given below :

Room no	No of stools
I	30
II	40
III	60
IV	50
V	20

Taking the scale           = 10 stools . Draw a pictograph.

3.In a class test number of students passed in various subjects are given below

Subjects	No of students passed
English	15
Maths	25
Hindi	10
Drawing	20

Taking the scale         = 5 successful students . Draw pictograph.

4.The number of children in 25 families of a colony are given below:

2,0,2,4,2,1,3,3,1,0,2,3,4,3,1,1,1,2,2,3,2,4,1,2,2

Construct a frequency distribution table using tally marks.

5.Given below showing the marks obtained by Tarun in 5 subjects in an annual examination

Subjects	Marks
Hindi	35
English	52
Maths	70
Science	30
S.Studies	25

Represent the above information in Bar-graph.

6.In a servey of 30 families of a colony, the number of children in each family was recorded

No of children	No of families
1	20
2	35
3	60
4	9

Draw a bar graph of above information.

7.Given below shows the number of scooters produced in a factory during the first five month of the year

Months	Production
January	500
February	1100
March	800
April	1000
May	500

Draw bar graph and answer the following

i)How many scooters were produced in the month of march ?

ii)In which month was the production minimum and how much .

iii) What was the decrease in production in March month in comparison to the production in February. 

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WORKSHEET 04 ( DECIMALS)

                                      6^th Worksheet 04 (Decimals)_28.10.2016

1.Convert the following decimals into fractions

a) 924.265   b) 10.31

2.Convert each of the following fractions to decimals

a) 4952/1000   b) 21/8   c) 7 2/5   d) 255/12

3.Arrange in ascending and descending order

a) 3.1001,3.1,3.01,3.11,3.001,3.0101,3.12

b) 66,6.06,0.066,0.062,66.6

4.a)Which I greater 3 m 40 cm +80 cm or 4.6 m

    b) Express 6.03 as a mixed fraction

5.Express 40 kg 95 g into grams

6.Express 25 paisa into Rs.

7.Subtract 95.05 from 136.085

8.Add 4 l 25 ml and 16 l 820 ml

9.What should be added to 25.5 to get 70.

10.Write in decimal form

   a) 6 tens +4 ones + 9 thousandths

   b) Round off nearest to the tenth place 87.950

11.Rohan purchased 2 kg 280 potatoes , 3 kg 375 g bananas , 425 g garlic and 6 kg 975 g oranges. Find the total weight of the items purchased. Express the answer in kg.

12.Renuka went to the market to purchase 17 kg 25 g sugar. But she got only 10 kg 375 g. How much sugar is left to be purchased . Express the answer in kg.

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WORKSHEET 03( WORD PROBLEMS_FRACTIONS)

6^th_Worksheet 03

1.Raman went to a market to buy vegetable .He bought 3 ¾ kg tomato, 2 ½ kg potatoes .How much total he bought ?

2.Seema gave 2 ¾ liters  out of 5 ½ liter  of juice . She purchased to her friends .How many liters of juice is left with her.

3.Subtract the sum of 8/7 and 10/13 from 15/7

4.Rama gave a wooden board of length 150 ¼ cm to a carpenter for making a shelf. The carpenter sawed off a piece of 40 1/5 cm from it. What is the length of the remaining piece.

5.In a school there are 5150 girls and 6200 boys. Find

 i) The fraction of boys to the girls.

ii) Fraction of girls to the total strength

6.Rohini bought 3 ½ m of cloth, She used 1 ¾ m of cloth. How much cloth is left.

7.Sonam rode her bicycle 7 ½ km on the first day and 7 ¾ km on the next day. Find the distance travelled by her altogether in two days.

8.Mr.Rajan got a job at the age of 24 yrs and he got retired from the job at the age of 60 yrs. What fraction of his age till retirement was he in the job.   

WORKSHEET_22.10.2016

6^th Worksheet

1.     Express 12/25 as a decimal

2.     Convert 5809 g to kg.

3.     Round off 87.952 to nearest tenth place.

4.     Amit purchased 2 kg 280g apples, 3 kg 325g bananas , 225 g grapes and 5 kg 385 g oranges . Find the total weight of the fruits purchased by Amit in kg.

5.     Do Q26 of pg-75 (book) 

TRY (DECIMALS)

                                      Try (Decimals)

1 .Which is greater

2 m 60 cm + 40 cm  or 3.6 m

2.Convert 4 km 125 m into Km.

3.Subtract 100.009 from 648

4.Add 3.5, 31 , 4.969 , 48.05

5.Arrange in ascending order

6.06 , 6.6 , 66.06 , 6.006 , 66

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WORKSHEET 02 ( COMPARING, ADDITION AND SUBTRACTION )

                                              WORKSHEET 02 

                            (COMPARING,ADDITION AND SUBTRACTION)

1.Arrange the following in ascending order
6/7,7/8,3/4 and 4/52.

2.Reduce into lowest form) 91/78  b) 372/108

3.Add 6/7 and 7/8  ii) Add 2/3,2 3/4 and 5/64.

4.Find the difference between 4/20 and 1/40.

5.Subtract 9/12 from 23/78.

6.Subtract 1 1/4 from 6 1/2.

7.Simplify  a) 2/3 -9/7 + 1 2/6

8.Simplify 9/5 + 2/3 -1/2 

WORKSHEET 01 (TYPES OF FRACTIONS)

                               WORKSHEET 01 (TYPES OF FRACTION) 

1.Give two example of proper fraction.

2.Write as fraction i) One-eight ii) Two-fifth  iii) Zero

3.Encricle improper fraction 1/4,13/5,19/7,18/31,1/24.

4.Encicle the unit fraction 1/5,2/5,9/8,16/31,14/35,1/9,1/75.

5.Convert the improper fraction into mixed fraction a) 4/3 b)31/56.

6.Convert the mixed fraction into improper fraction
a) 4 3/4   b) 7 3/57.

7.Write an equivalent fraction to 64/96 with the denominator =488.

8.Write an equivalent fraction to 3/5 with a) denominator=25       b) Numerator =78

9.Check whether 4/13 and 7/9 are equivalent fractions.

10.What fraction of a complete angle is a right angle

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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