Worksheet for class VI

WINTER HOLIDAY HOMEWORK

WORKSHEETS

CHAPTER : DECIMALS

1.    Vijay bought a 9 kg of fruits. Out of this 2 kg 600g were apples, 3 kg 45 g were mangoes and rest were melons. Find the quantity of melon purchased by him ?

2.    Aman bought 4 kg 500 g of rice, 3 kg 30 g flour and 1 kg 705 g of sugar. Find the total mass of his purchase.

3.    Find the sum of : (a) 650 km 900m ,325 km 96m , 39 km 380 m.

(b) 58 l 585 ml, 7 l 75 ml, 20 l 600 ml , 14 l 740ml.

      4.    Subtract : (a)  109 m 5 cm from 356 m 99 cm

                        (b)  46. 95 from 202

     5.  Write (i) 0.252 and (ii) 25.5  as fraction in the lowest term.

    6. Express  (i) 500 + 20 + 3 +   and (ii) 45 +   as a decimal.

   7. Express using decimals as directed :

     (a) 10 cm 2 mm in cm  (b) 8293 g in kg    (c) 2 m 2 cm in cm

CHAPTER : MENSURATION

1.    How many square tiles of side 16 cm will be required to pave the floor of a rectangular room 6.4 m X 5 m?

2.    A room is 15 m long and 9.5 m wide. A square carpet of side 1 m is laid on the floor. How much area is left uncarpeted ?

3.    Find the perimeter of a rectangular play ground whose area is 3600 sq m and length is 90 m.

4.    The area of a square park is the same as that of a rectangular park . If the side of the square park is 60 m and the length of the rectangular park is 90 m , find the breadth of the rectangular park.

5.    Find the cost of fencing a rectangular park of length 225 m and breadth 150 m at the rate of Rs. 12 per metre.

6.    The length and breadth of a rectangular field are in the ration 4 : 3. If its perimeter is 210 m , find its dimensions.

7.    By splitting into rectangles, find the area :

                

CHAPTER : INTEGERS

1.    Find the value of : (-17) + (-85) – (-95) + (-25)

2.    Rashmi deposited Rs.5890 in her account on Monday and then with drew Rs.2394 on Tuesday. Next day she deposited rs.2155. what was her balance on Thursday?

3.    Use appropriate symbol (< or > or = ) to fill in the blank:

(-56) – (-69) ___________ (-76) + (55)

4.    Subtract the sum of 139 and (-157) from the sum of (-272) and 136.

5.    The sum of two integers is 85. If one of them is (-95),find the other.

6.    Draw a number line and answer the following questions:

a)    Starting from 7 on the number line, in which direction and how many steps have to be moved to reach -3?

b)   Which number is reached on the number line if 9 steps are taken to the right of -3?

7.    a) Find the sum of : (-5489) and 10000

b)find the additive inverse of (-156)

c) find the successor and predecessor  of : (-47)

d)  subtract 2750 from (-247).

e) using number line, add (-11) + 5.

CHAPTER : FRACTIONS

1.      Reduce the fraction  into simplest form

2.      Compare the fraction :

3.      Anuja reads 40 pages of a book containing 120 pages while Leena  read  of the book. Who read more?

4.      Arrange the following fraction in descending order :

5.      Simmy  bought    m of cloth and used up 1 m of cloth to stitch a dress for himself. How much cloth is left with her?

6.      Find the sum of : 1

7.      Simplify : 4

      8.  Subtract the sum of 3 and 5 from the sum of 4 and 7

CHAPTER : DATA HANDLING

1.The sales of bread loaves in a shop on various days of the week are as follows:

Day	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday
No.of Bread loaves sold	75	100	100	125	75	50	100

Prepare a pictograph showing the sale of bread loaves using symbol J = 25 bread loaves and answer the following questions:

a)    On which day were the minimum number of bread loaves sold?

b)   On which day were the maximum number of bread loaves sold?

c)    If one carton could carry 25 bread loaves in it, how many cartons were used in the entire week.

2. Various modes of transport used by 1500 students of a school are as follows:

Mode of Transport	Car	Bicycle	Private Bus	Walking	School Bus
Number of Students	280	150	300	120	650

Represent the data by a bar graph.

3. Vinita threw a dice 40 times and noted the following numbers appearing with each throw:

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

Make a table and enter the data using tally marks. Find

a)    The number that appeared the minimum number of times.

b)   The number that appeared the maximum number of times.

c)    The numbers that appeared an equal number of times.

4.    Following are the average marks of a class in five subjects. Draw a bar graph to represent the data.

English	Mathematics	Science	Social Science	Language
65	89	78	71	56

CHAPTER : RATIO AND PROPORTION

1.    The cost of 7 kg of mangoes is Rs. 434. How many kg of mangoes can be purchased for Rs. 341?

2.    15 metres of silk cloth can be bought for Rs. 3840. How many metres of silk cloth can be purchased for Rs. 7936?

3.    A train travels 650km in 5 hours.

a.    How much distance will it cover in 12 hours?

b.    How long will it take to travel 975 km?

4.    Are the ratios in proportion:

a.    10 minutes : 1 hour and 6 hours : 36 hours

b.    25 days : 1 year and 60 days to 2 years

5.    Divide 30 stamps between Malti and Anjali in the ratio 3 : 2 .

6.    Jaiveer earns Rs. 7500 per month. If his monthly savings is Rs. 1200, find the ratio of

a.    His income to his savings

b.    His income to his expenditure

c.    His expenditure to his savings

7.    Express the ratios on their simplest form:

a.    3 weeks : 35 days

b.    250 : 375

c.    3 km 200 m to 1640 m.

CHAPTER : ALGEBRA

1.    Taking Priya’s present age as ‘x’ years, answer the following questions:

a.    What will be her age 8 years from now

b.    What was her age 5 years ago

c.    Priya’s grand uncle is 6 times her age. What is the age of her grand uncle

d.    Priya’s grandmother is 2 years younger that her grand uncle. What is her grandmother’s age

e.    Priya’s father is 7 years more than 3 times Priya’s age . What is her father’s age

2.    Pick out the solution from the values given in the bracket. Show that the other values do not satisfy the equation.

a.    7p = 84 (10,12,15)

b.    M – 2 = 0 ( 2, -2, 0)

3.    Write the algebraic expressions for the following :

a.    X taken away from 9

b.    Twice a increased by b

c.    Half of a number y decreased by 7

d.    Y decreased by 11

4.    Gargi is 24 years younger than her mother. What is Gargi’s age in terms of her mother’s age.

5.    The side of a rhombus is denoted by l. Express the perimeter of the rhombus.

6.    State which of the following are equations:

a.    P - 3 > 7

b.    5 = (10 x 2 - 5 x 3)

c.    14= x + 3