WINTER BREAK HOLIDAYS HOMEWORK (2018-19)

Class X

MATHSSolve all the following questions in Maths Fair Notebook neatly and properly : Q 1 : Use Euclid’s division algorithm to find the HCF of : 196 and 38220 Q 2 : State Fundamental theorem of arithmetic . Q3 : Show that√2 𝑖𝑠 an irrational number. Q 4: Check whether 4 n ends with 0 for any natural number n? Q 5 : Show that 3 + √2 𝑖𝑠 an irrational number. Q 6: Without actual division, State which of the following decimal expansion have a terminating decimal or non terminating recurring. ( i)7 / 80 (ii) 23 / 44 Q 7: Solve the following pairs of equations by reducing them to a pair of linear equations:

Q 8 : Q 9 : Draw the graph of the equation 3x +4y =11.Q 10 : The perimeter of a rectangle is 90 cm and its area is 486 cm2. Find the dimensions of the rectangle.Q 11 : Which term of the AP: 3. 15, 27, 39, … will be 132 more than its 54th term? Q 12 : Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18respectively.Q13 : State and Prove Basic Proportional Theorem OR Thales Theorem. Q 14 : Prove that the area of an equilateral triangle described on side of a square is equal to half the area of the equilateral triangle described on one of its diagonals. Q 15 : Find the value of k if the points (7, –2), (5, 1), (3, k) are collinear.Q 16 : Find a point on the y-axis which is equidistant from the points A(6, 5) and B(– 4, 3). Q 17 : A quadrilateral ABCD is drawn to circumscribe a circle (see Fig. 10.12). Prove that

AB + CD = AD + BC Q 18 : If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.Q 19 : Prove the following identity, where the angles involved are acute angles for which the expression is defined :(sin A + cosec A)2 + (cos A + sec A)2 = 7 + tan2 A + cot2 A

Q 20 : A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60°. Find the time taken by the car to reach the foot of the tower from this point.

Q 21 : Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and3 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.Q 22 : Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.Q 23 : A round table cover has six equal designs as shown in Fig. 12.14. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs 0.35 per cm2. (Use √3 = 1.7)

Q 24 : , A square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. (Use π = 3.14)

Q 25 : A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.Q 26 : A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.Q 27 : The following data gives the information on the observed lifetimes (in hours) of 225 electrical components :

Determine the modal lifetimes of the components.Q 28 : In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?Q 29 : If the median of the distribution given below is 28.5, find the values of x and y.

Q 30 : A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out (i) an orange flavoured candy? (ii) a lemon flavoured candy?Q 31 : A die is thrown once. Find the probability of getting (i) a prime number; (ii) a number lying between 2 and 6; (iii) an odd number. 14.Q 32 : One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting (i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds.

SCIENCE1. Revise whole syllabus for pre board and board exam2. Practise CBSE exam papers at least from any sample paper

book.

INFORMATION TECHNOLOGYClass - X

1. Prepare a PowerPoint Presentation of any one unit from the text book, all the session must be included into it. The contents must be taken from text book only. It should not be copied from any outside source such as other book or internet.

2. Do the following questions in Practical file

Unit 3:

a. Write the steps for using document templates.b. Write the steps for inserting section break MS-Word.c. Write the steps for inserting an object in MS-Word.

Unit -4

a. Write the steps for using conditional formatting.b. Write the steps for hiding and unhiding columns in MS-Excel.c. Write the steps for using freeze panes.d. Write the steps for applying cell range in excel.e. Write steps to create meeting request for the following items:f. Write the steps for inserting charts base upon the table in MS-Excel.g. Write the steps for sorting and filtering of data.

Unit -5:

a. Write the steps for inserting a movie and audio clip in Power point(both the methods)

b. Write the steps for inserting charts in power point slide.c. Write the steps for grouping and ungrouping the object.d. Write the steps for inserting speaker notes.

Unit-6

a. Write the steps for scheduling and categorizing an appointment.b. Write the steps for sharing a calendar.c. Write the steps for the following:

i. School annual Day function discussion.ii. Blood donation camp discussion.

iii. Write steps for responding to a meeting request.

Unit-7:

Id Name City Roll1 Arun ggn 1232 Neha jaipur 3453 Siya ggn 234

Write SQL queries for the following statements: -a. Create a table employee with columns id, name, city and roll.b. Insert three records or rows as given in the above table.c. Change name as ‘Aman’ whose id is 3d. Delete a record whose name is ‘Siya’.e. Add subject column with size 50 in table.f. Delete the column city.g. Show all records of table.h. Show all records in order by name.i. Show city column only from the table.j. Show city column where city is ‘ggn’ only.k. Show name column whose id is ‘1’ only.l. Delete the table.

ENGLISH

1. Solve all the three sets of papers of I Pre Board Exam and revise.

2. Revise the whole syllabus for II Pre Board.

3. Practice the reading and writing section.

4. Revise all the chapters of the novel.

5. Make a time table for studying all the subjects.

6. Read English newspaper to enhance vocabulary and comprehension