THE ASIAN SCHOOL, DEHRADUN HOLIDAY HOMEWORK OF WINTER VACATION 2014-15 FOR CLASS IX

English: 1. Write the summary of the Poem : “Song of the Rain” by Khalil Gibran, 2. You are sitting in a Dentist’s chair for treatment of your spoiled teeth. Write a diary entry expressing how you feel. (Please refer to the

Poem – ‘Oh, I wish I’d looked ‘After Me Teeth’ by Pam Ayres) 3. Cut and Paste 5 Newspaper Articles of your choice. Underline 5 words from each of these articles, find their meanings and make

appropriate sentences using these. 4. Read the Second- Half of the Prescribed Novel “Three Men In a Boat’ by Jerome K Jerome.

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Mathematics Section – A

1) How many solutions do the linear equation 2x + 5y = 7 has ? 2) Check whether a straight line 2x + 3y = 13 , passes through (2,3). 3) At what point the graph of the linear equation 3x + 5y = 15 cuts the x -axis. 4) Find the value of k, if (3, 2) is the solution of the equation 3x - ky =5. 5) At what point the graph of the linear equation 3x + 4y = 6 cuts the y-axis? 6) Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa. 7) The equation x =5 in two variables can be written as :

(A) 1x + 1.y = 5 (B) 0x + 1.y = 5 (C) 0x + 0.y = 5 (D) x + 0.y = 5

8) The equation of x-axis is : (A) y = 0 (B) y = 3 (C)x = 0 (D) x= 4

9) Three solid cubes of side 4 cm each are joined to form a cuboid, then find its surface area. 10) Find the volume of a cube whose surface area is 96 cm2 . 11) Find the edge of the cube whose volume is 216 cm3. 12) Find the length of longest stick that can be fitted in a cubical vessel of edge 20 cm long. 13) A match box measures 6 cm x 2 cm x 1.5 cm. Find the volume of a packet containing five such boxes. 14) If in a cylinder, radius is halved and height is doubled, then find its volume 15) Write the relation between 0, 1 and P(E) ,where P(E) denotes the probability of an even E. 16) Find the range of the given data :

25, 18, 20, 22, 16, 6, 17, 15, 12, 32, 10, 19, 8, 11, 20 17) Find the median and mode of the following scores :

14, 25, 14, 28, 18, 17, 18, ,14, 23, 22, 14, 18 18) A coin is tossed 100 times with the following frequencies : Head – 45, Tail – 55 Then what is the probability of getting a head? 19) If P (event E) = 0.47, then find P (not E ).

20) The record of a weather station shows that out of the past 250 consecutive days, its weather forecasts were correct 190 times. What is the probability that on a given day it was correct?

Section B 1) A bag has 3 red and 7 balls. One ball is taken out of the bag. Find the probability that it is a (i) red ball, (ii) black ball . 2) A survey of 500 families was conducted to know their opinion about a particular detergent powder. If 375 families liked the detergent

powder and the remaining families disliked it, find the probability that a family chosen at random. (i) Likes the detergent powder. (ii) Does not like it.

3) Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes : Outcome 3 tails 2 tails 1 tails No tail Frequency 20 68 82 30

If the three coins are simultaneously tossed again, compute the probability of getting less than 3 tails. 4) The record of a weather station shows that out of the past 250 consecutive days, its weather forecasts were correct 175 time.

(i) What is the probability that on a given day it was correct? (ii) What is the probability that it was not correct on a given day?

5) A bag contain 5 red balls, 8 white balls, 4 green balls and 7 black balls. If one ball is drawn at random, find the probability that it is : (i) black (ii) not green

6) Two coins are tossed simultaneously 500 times, and we get :

Result 2 Head 1 Head No head Frequency 105 275 120

Find the probability of occurrence of (i) two heads (ii) all tails.

7) Eleven bags of wheat flour, each marked 5 kg, actually contained the following weight of flour (in kg) : 4.97 5.06 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00 Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

8) Two coins are tossed simultaneously 500 times. If we get two heads 100 times, one head 270 times and no head 130 times, then find the probability of getting one or more than one head

9) In figure, there is a histogram depicting daily wages of workers in a factory. Construct the frequency distribution table.

10)Given below are seats won by different political parties in the polling outcome of a state assembly election :

Political Parties A B C D E F Seats Won 75 55 37 29 10 37

Draw a bar graph to represent the polling result.

11) Calculate the mean of the given frequency distribution :

X 5 6 7 8 9 F 4 8 14 11 3 12)The mean of 10 ,12,18, 13 , x, and 17 is 15 . Find the value of x.

13)Find the value of p, if the mean of the following distribution is 7.5 :

X 3 5 7 9 11 13 F 6 8 15 p 8 4 14) The following observation have been arranged in ascending order. If the median of the data is 65, find the value of x.

32, 35, 50, 51, ,x ,x + 2, 73, 76, 83, 90

15) The mean weight of a group of 7 boy’s is56 kg. The individual weight (in kg) of six of them are 52, 57, 55, 60, 59 and55. Find the weight of the seventh boy.

16) Three cubes each of side 6 cm are joined end to end. Find the total surface area of the resulting area of the resulting cuboid. 17) The paint in a certain container is sufficient to point an area equal to 9.375 m2. How many bricks of dimensions 22.5 cm x 10cm x 7.5

cm be painted out of this container? 18) A godown measures 30 m x 25m x 8m. Find the maximum number of wooden crates each measuring 2m x 1.25m x 0.4 m that can be

stored in the godown. 19) A school provides milk to the students daily in cylindrical glasses of diameter 7 cm . If the glass is filled with milk upto a height of 12

cm, find how many litres of milk is needed to serve 1600 students. 20)Two cylindrical cans have bases of the same size. The diameter of each is 14 cm. One of the cans is 10 cm high and the other is 20 cm

high. Find the ratio of their volumes.. Section C

1) Draw the graph of the equation y = mx + c for m = 3 and c = -1 (a straight line in Cartesian plane ). Read from the graph the value of y when x = 2.

2) Force applied on a body is directly proportional to the acceleration produced in the body. Write an equation to express the situation and plot the graph of the equation taking the constant to be 5 units.

3) If x is the number of hours a labourer is on work and y is his wages in rupees, then y = 4x + 3. Draw the work wages graph of this equation. From the graph find the wages of a labourer who puts in 4 hours of work.

4) Find two solution of the linear equation x + 2y = 8 5) Draw the graph of the linear equation x = 3y. 6)Find the points where the graph of equation 3x + 4y = 12 cuts the x-axis and the y-axis. 7)1500 families with 2 children were selected randomly and the following data was recorded :

No. of girls in a family 2 1 0

No. of families 102 675 723

Out of these families, one family is selected at random. What is the probability that the selected family has : (i) 2 girls? (ii) 1 girls? (iii) no girls?

8) The taxi fare in a city is charged as per the rates stated below. Rate for the first kilometer of journey is Rs 5 and the rate for subsequent distance covered is Rs 4 per km. Taking distance covered as x km and total fare as Rs y, write the linear equation in variables and y to express the above statement. Draw the graph for the linear equation.

9) If the point (1,-3) lies on the graph of the equation 2y = a - 8, find the value of a. Express this linear equation in two variables.. 10) Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 1 times of its abscissa. 11) Find four solution of 2x - y = 4. 12) Find the point on the graph of linear equation 2x - 3y = 9 whose abscissa is 2 times the ordinate. 13) For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution. 14) A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this

wall is to be built up with bricks whose dimensions are 24 cm x 12 cm x 8 cm, how many bricks would be required? 15) 30 plants were planted in each school out of 12 schools. After a month, the number of plants that survived are given below :

School 1 2 3 4 5 6 7 8 9 10 11 12

Number of plants Survived

22 15 12 24 27 10 13 22 17 9 20 25

What is the probability of survival of : more than 20 plants in a school? Less than 10 plants in a school? Exactly 22 plants in a school?

According to you what steps should be taken t save environment? Section D 1)Shanti Sweets Stall was placing an order for making card board boxes for packing their sweets. Two sizes of boxes were required. The

bigger of dimensions 25 cm x 20 cm x 5cm and the smaller of dimensions 15 cm x 12 cm x 5 cm. For all the overlaps, 5 % of the smaller of dimensions 15 cm x 12 cm x 5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs 4 for 1000 cm2, find the cost of cardboard required for supplying 250 boxes of each kind.

2) If (2,3) and (4,0) lie on the graph of equation ax + by = 1. Find the volume of a and b. Plot the graph of equation obtained. 3) The parking charges of a car on Mumbai Railway Station for first two hours is Rs. 50 and Rs. 10 for subsequent hours. Write down an

equation and draw the graph of this data. Read the charges from the graph ; (i) for one hour (ii) for three hours (iii) for five hours

4)On the graph paper, draw the two straight lines 2x + y = 5 and 3x + 2y = 8. Also find the point of intersection on the graph. 5) Show that the points A(1,2), B(-1,-16) and C(0,-7) lie on the graph of the linear equation y = 9x - 7. 6) The following observed values of and y are thought to satisfy a linear equation. Write the linear equation :

X 6 -6 Y -2 6

Draw the graph using the values of , y as given in the above table. At what point the graph of the linear equation : (a) cuts the -axis (b) cuts the y- axis.

7) Draw the graph of the linear equation 3x + 4y = 6. At what point , the graph cuts the x- axis and the y-axis. 8) Over the past 200 working days, the number of defective parts produced by a machine is given in following table :

Numbers of Defective Parts

0 1 2 3 4 5 6 7 8 9 10 11 12 13

Days 50 32 22 18 12 12 10 10 10 8 6 6 2 2

Dertermine the probability that tomorrow’s output will have : No defective part Atleast one defective part Not more than 5 defective parts More than 13 defective parts.

9) If the temperature of a liquid can be measured in Kelvin units as ˚K or in Fahrenheit units as y˚F. The relation between the two systems of measurement of temperature is given by the linear equation y = ( – 273) + 32 find the temperature of the liquid in Fahrenheit if the temperature of the body is 313˚K if the temperature is 158˚F, then find the temperature in Kelvin.

10) Draw the graph of the equation 2x + 3y – 6 = 0 using graph paper determine whether x = 3 and y = 0 is a solution. find the value of y, if x = -3 and

find the value of , if y = -2 from the graph and verify. 11) If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body. Express this

in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is (a) 2 units (b) 0 unit.

12) For each of the graph given in fig. selected the equation whose graph it is from the choice given below : For fig .

, (a) x + y = 0 (b) y = 2 (c) y =x (d) y = 2x + 1

for fig (ii), (a) x + y = 0 (b) y = 2 (c) y = 2x + 4 (d)y = 4x

13) In countries like the USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius :

˚F = ˚C + 32 Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis. If the temperature is 30˚C, what is the temperature in Fahrenheit? If the temperature is 95˚F, what is the temperature in Celsius? If the temperature is 0˚C, what is the temperature in Fahrenheit and if the temperature in Celsius?

Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it. 14) The following two table gives the distribution of students of two sections according to the marks obtained by them :

Section – A Section –B Marks Frequency Marks Frequency 0-10 10-20 20-30 30-40 40-50

3 9 17 12 9

0-10 10-20 20-30 30-40 40-50

5 19 15 10 1

Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections. 15) The mean of the following distribution is 50.

x f 10 30 50 70 90

17 5a + 3

32 7a – 11

19

Find the value of a and hence the frequency of 30 and 70.

Physics : Topics : Make a model on anyone of the following : i) Archemidies’s Principle, ii) Law of Floatation iii) Hydraulic lift iv) Universal law of gravitation (Chart) v) How gravitational force holds the solar system. (Chart) vi) Kepler’s Law of Planetary Motion. (Chart) Learning Objectives : History, Methodology, Circuit, Block Diagram, Basic Components used for making the model, Advantages of Project, Applications and future work.

Source that can be used : 1. Science Magazines 2. Internet 3. Refrence Books