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Showing posts with label 10th Standard. Show all posts
Showing posts with label 10th Standard. Show all posts

Monday, July 17, 2017

10th Maths model question paper

10th Standard ,
10th Maths model question paper

                                   FULL TEST - I (2017)                             
             
 


SECTION - A
Note: (i) Answer all the 15 questions  (ii) Choose the correct answer in each question.  Each of these questions contains four options with just one correct option   (iii) Each question carries one mark.

Choose the correct answer from the given alternatives:-                                    15 x 1 = 15
1.      For two sets A and B, if and only if
          a)               b)               c)                d)
2.       If 1 + 2 + 3 + …. + n = k, then 13 + 23 + …… + n3 is equal to ________
          a) K2                     b) K3                    c)             d) (K + 1)3
3.       The number of terms in the A.P 7, 13, 19, ……. 97 is ________
          a) 97                     b) 17                    c) 16                     d) 15
4.       If one root of the equation is negative of the other in the equation ax2 + bx + c = 0, then _______
          a) c = 0                 b) a = 0                c) b = 0                d) a = 0 and c = 0
5.       The G.C.D of (x3 + 1) and (x4 – 1) is ______
          a) x3 – 1                b) x3 + 1               c) x + 1                 d) x – 1
6.       If A is of order 3 x 4 and B is of order 4 x 3, then the order of BA is
          a) 3 x 3                 b) 4 x 4                c) 4 x 3                 d) not defined
7.       Slope of the line through the points (1, 2) (4, 2) is ________
          a) 0                       b) 1                      c) 2                       d)
8.       If (1, 2), (4, 6), (x, 6) and (3, 2) are the vertices of a parallelogram taken in order, then the value of x is _______
          a) 6                       b) 2                      c) 1                       d) 3
9.       The sides of two similar triangles are in the ratio 2 : 3, then their areas are in the ratio
          a) 9 : 4                  b) 4 : 9                 c) 2 : 3                  d) 3 : 2
10.     In ∆ABC, DE//BC, meeting AB and AC at D and E.  If AD = 3 cm, DB = 2 cm and AE = 2.7 cm, then AC is equal to ______
          a) 6.5 cm              b) 4.5 cm             c) 3.5 cm              d) 5.5 cm
11.     9 tan2θ – 9sec2θ = ________
          a) 1                       b) 0                      c) 9                       d) -9
12.     A man is 28.5 m away from a tower.  His eye level above the ground is 1.5 m.  The angle of evelvation of the tower from his eyes in 45.  Then the height of the tower is _______
          a) 30 m                b) 27.5 m             c) 28.5 m              d) 27 m
13.     If the radius of a sphere is 2 cm, then the curved surface area of the sphere is equal to
          a) 8p cm2             b) 16 cm2             c) 12p cm2            d) 16p cm2

14.     If the variance of a data is 12.25, then the S.D is
          a) 3.5                    b) 3                      c) 2.5                    d) 3.25
15.     Probability of sure event is
          a) 1                       b) 0                      c) 100                   d) 0.1

SECTION - B

Note:            (i) Answer any Ten question:-                                                            10 x 2 = 20
          (ii) Answer any 9 questions from the first 14 questions.  Question No: 30 is
       compulsory.  (iii) Each question carries two marks.
16.     If , then find and A\B (Use Venn diagram).
17.     If R = {(a, -2), (-5, b), (8, c), (d, -1)} represents the identity function, find the values of an b, c and d.
18.     Which of the following sequences are geometric sequences
          (i) 5, 10, 15, 20 ………
          (ii)
19.     Find the quotient and remainder when (x3 + x2 – 3x + 5) is divided by (x-1).
20.     Simplify the rational expression into lowest form: .
21.     Find the product of the matrices if exists,
22.     Find the midpoint of the line segment joining the points (3, 0) and (-1, 4).
23.     Find the equation of the straight line whose x-intercept and y-intercept on the axes are 2 and 3.
24.     In ∆PQR, given that s is a point on PQ such that ST//QR and   If PR = 5.6 cm then find PT.
25.     Prove the identity .
26.     A kite is flying with a string of length 200 m.  If the thread makes an angle 30° with the ground, find the distance of the kite from the ground level.  (Here, assume that the string is along a straight line).
27.     A solid right circular cylinder has radius of 14 cm and height of 8 cm.  Find its curved surface area and total surface area.
28.     The smallest value of a collection of data is 12 and the range is 59.  Find the largest value of the collection of data.
29.     Two unbiased dice are rolled once.  Find the probability of getting
          (i) a sum 8           (ii) a doublet
30.     If , then find AT and (AT)T.   (OR)
          The volume of a solid right circular cone is 4928 cu. cm.  If its height is 24 cm, then find the radius of the cone.  .
         
SECTION - C
Note:     (i) Answer any Nine question:                                                                   9 x 5 = 45
              (ii) Answer any 8 questions from the first 14 questions.  Question No 45 is
          compulsory.
31.     Verify  (Using Venn diagram).
32.     Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets.  Let f : A→B be a function given by f(x) = 2x + 1.  Represent this function as (i) a set of ordered pairs
(ii) a table (iii) an arrow diagram and (iv) a graph.
33.     Find the sum of first n terms of the series 7 + 77 + 777 + ……. .
34.     Find the value of k, if 13 + 23 + 33 + …. + k3 = 4356.
35.     Divide the following and write your answer in lowest term.
         
36.     Find the square root 4x4 + 8x3 + 8x2 + 4x + 1.
37.     If  then show that A2 – 4A + 5I2 = 0.
38.     Find the area of the quadrilateral formed by the points (-4, -2), (-3, -5), (3, -2) and (2, 3).
39.     The vertices of a ∆ABC are A(1, 2), B(-4, 5) and C(0, 1).  Find the slopes of the attitudes of the triangle.
40.     State and prove thales theorem.
41.     The angle of elevation of an aeroplane from a point A on the ground is 60°.  After a flight of 15 seconds horizontally, the angle of elevation changes to 30°.  If the aeroplane is flying at a speed of 200 m/s, then find the constant height at which the aeroplane is flying.
42.     Base area and volume of a solid right circular cylinder are 13.86 sq.cm and
69.3 cu.cm respectively.  Find its height and curved surface area. 
43.     An iron right circular cone of diameter 8 cm and height 12 cm is melted and recast into spherical lead shots each of radius 4mm.  How many lead shots can be made?
44.     A card is drawn at random from a well – shuffled deck of 52 cards Find the probability that it will be a spade or a king.
45.     a) Factorize x3 – 3x2 – 10x+24.
          b) A group of 45 house owners contributed money towards green environment of their street. The amount of money collected is shown in the table below.
Amount
Rs.
0 – 20
20 – 40
40 – 60
60 – 80
80 – 100
No of house owners
2
7
12
19
5
          Calculate the variance and standard deviation.

           
SECTION – D
Note:-  (i) This section contains two questions, each with two alternatives.
  (ii) Answer both the questions.  Choosing either of the alternatives.
                                                                                                                        2 x 10 = 20
46.     a) Draw a circle of radius 3 cm.  From an external point 7 cm away from its
   centre, construct the pair of tangents to the circle and measure their lengths.
(OR)
b) Construct a cyclic quadrilateral ABCD when AB = 6 cm, BC = 5.5 cm  and AD = 4.5 cm.
47.     a) Solve graphically 2x2 + x - 6=0.
(OR)
          b)  The following table gives the cost and number of note books bought.
No.of ntoe books
x
2
4
6
8
10
12
Cost (Rs y)
30
60
90
120
150
180
          Draw the graph and hence
(i)               Find the cost of seven note books.
(ii)            How many notebooks can be bought for Rs. 165.
        
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10th English grammar model question paper

10th Standard ,
10th English grammar model question paper

MODEL QUESTION PAPER ENGLISH – PAPER II

Class: X Time: 2.30 hrs
Max marks: 100

SECTION A –NON-DETAILED (35 MARKS)1. Fill in the blanks with the appropriate phrases given below to form a complete meaningful paragraph: [5x1=5]

Kumar watched (i) __________________ flying in a (ii)________________ and remembered the time when he had see (iii) ____________________ and his father had told him that the birds had come there to stay only (iv) _______ and would soon leave the (v) ____________ and return to their home in the Artic.

i) for a short while
ii) the migratory birds
iii) the place of their sojourn
iv) nestlings in Vedangthangal
v) streamlined ‘V’

2. Read the following sentences and identify the character speaker: [5 x 1 = 5]

i. “I will call you Goldy”.
ii. “I shall perform some magic tricks.”
iii. “Help! Save me from drowning.”
iv. “At least we could spend some time together.”
v. “I’ve been in search of a model to pose as Judas Iscariot.”

3) Match the following appropriately: [5 x 1 =5]

A) Judas     caught in a drain

B) Kumar     clever little boy

C) Mom    one of two figures for a painting

D) Celine   young and enterprising

E) Hubert    fond of playing the piano hid in the cupboard

4) Complete the following sentences choosing the correct answer from the options given below: [5 x1 = 5]

 i) Mom allowed __________to keep the dog.
a) Goldy b) Shelly c) Sam d) Diane
ii) The brothers started off the ride with __________.
a) a thumbs up sign b) a wave of the fla
c) a whistle d) a gun shot
iii) There were _________ thieves hiding in the cupboard.
a) four b) six c) three d) five
iv) The painter was trying hard to find a model for a painting of……………
a) an artist b) Judas Iscariot c) a beggar d) a poet
v) Dad finally got an employment _________.
a) at a doctor’s clinic b) as a clerk
c) as a lecturer d) with an auditing firm

5) Read the passage given below and answer the questions that follow : [5 x 1 = 5]

With a shudder he once again turned to the window. The sky was dotted with birds flying in a streamlined ‘V’! They seemed to be hurrying, every one of them of one mind as if they had an important goal to pursue. It was that time of the year when the migratory birds were returning to their homes after a five - month warm sojourn. He remembered his childhood picnic with his parents to Vedanthangal, where he had seen flocks of birds nestled among the trees. Dad had hired a telescope to give him a closer view of the nest, where he saw tiny little nestlings-five of them! Dad had then told him that even though these families resided here, they would soon go back to their homes far in the cold regions of the planet. His father’s words rang clear in his ears “You see Kumar, though they have stayed here for almost half a year and have enjoyed our climate and the food available, they know that their home is in the Arctic. And there’s no place like home, is there?”

Kumar gazed at the flock flying home from where they had come. But slowly his vision blurred as tears filled his eyes. ‘Home is where the heart is’ Kumar thought, watching the birds till they were just specks on the distant horizon. Kumar left the room with a sure stride and a strong determination writ large on his countenance.

i. What was the ‘V’ shaped formation seen by Kumar?
ii. What did the flight remind him of ?
iii. Describe what Kumar had seen amidst the trees
while on his picnic.
iv. What behaviour among the birds taught Kumar of
the importance of ‘home’?
v. What do you think Kumar had decided to do? Give
a reason for your answer.

7) Answer in a paragraph any one of the following questions: [1x 5=5]

a) Narrate the story ‘The Face of Judas Iscariot’ in your own words
b) How did the close encounter result in bringing the brothers closer to each other?
c) Imagine you were Hubert and knew of the thieves’ plan to rob the house. How would you have dealt with the situation?

SECTION – B [LANGUAGE FUNCTIONS-15 MARKS]
II. [A] 1. Make notes of the following passage and
2. Prepare a summary using the notes. [5+5=10]

No study of English can be complete without a reference dictionary of idioms. A very useful and easily available reference material is The Collins Dictionary of English Idioms. This dictionary contains clearly explained meanings of over three
thousand common English idioms. To make the meaning even clearer, and to show you how the idiom can be used, each idiom is provided with a suitable sample sentence . In this dictionary, the emphasis is on ‘true’ idioms. These are expressions whose meanings cannot be easily worked out from the words theycontain. The dictionary also provides a great many variations in the way these idioms are used. The main emphasis , however is on providing an understanding of the meaning of the idioms, rather than attempting to be a complete guide to idiomatic usage. (145 words)

9) Complete the following dialogue appropriately. [5]

Gautham : May I come in Madam?
1. Teacher : -------------------------------
Gautham : My bus broke down. So I could not come to
school on time.
2. Teacher : ---------------------------------------------,
otherwise she will mark you absent.
3. Gautham : ---------------------------------------
4. Teacher : ---------------------------------------
5. Gautham : ----------------------------------------

SECTION C - COMMUNICATIVE SKILLS [15 MARKS]


10. Write a dialogue with at least ten utterances between
a shopkeeper and a customer who wishes to get his
defective watch exchanged. [5]

11. Ramesh wanted to write to Mr Nagaraj asking him to be the
Chief Guest for a function in his school. He had the
format of his letter ready but had yet to write the content.

Complete the content of his letter in about 100 words.[5]

 Y City
3rd November,2017

From
K.Ramesh
School Pupil Leader
XYZ Higher Secondary School
B City
Pin XXX XXX

To
Mr C.Nagaraj
Professor of English
ABC Arts College
K City
Pin xxx xxx

Dear Sir,
Sub: Invitation to preside over the inauguration of Literary Association
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________

Thank you
Yours sincerely,
K.Ramesh
(SPL)

12) Prepare an advertisement on the information given below: [1x 5=5]

1. Grand look ___ clothes shop __ Aadi sale – 15% discount __
gents’ / ladies’ / kids’ apparels
[OR]
New Millennium Bike – comfortable ride – sleek look – affordable

price.

SECTION D [EXPANSION OF IDEAS – 35 MARKS]
13) Expand the following headlines: [5x1=5]

i. S.B.I. releases new coin-Big Temple Centenary
ii. India Wins Medals at CWG
iii. Heavy floods in Bihar, crops ruined
iv. Students take up rally to create AIDS awareness
v. Obama to visit India in November

15. Write a paragraph using any one of the following outlines
in about 100 words: [1x 5=5]
iiiiin about 100 words:
1. It is better to prevent something disastrous before it happens. _____ students _____ study daily lessons _____work ____ regularly _____ avoid scoring less ____ family
_____ save money _____ avoid getting into debts ______ take care of health ____ avoid diseases _____ save money _____ rather than spending on medicines

[OR]

Trees ______ wealth of a nation ____ should not be cut down. Forests aid rain-fall ____ _____ natural resources ______ students _____ aim in life- planting of trees _____encourage ____ in schools, colleges, create awareness in public _______ regarding ______ saving trees ______preventing ____ cutting down trees.

16) Match the following products and slogans: [5x1=5]

1. Wrist watch    a) Get set, go
2. Jewellery   b) You are what you wear
3. Clothes    c) The Magic of Words
4. Pens    d) Dazzle and Sparkle
5. Slippers   e) On your guard f) Wear and tear

18) Read the poem given below and complete its paraphrase with suitable phrases in the given blanks: [5]

Now the Taps Are Dry: Environment Poem by Moses H. Barbu

She told you to plant trees
and you paid her no heed
and now the taps are dry.
They released a water rationing schedule today,
a water conservation measure
you say, because the taps are dry.
You should have rationed your greed
and paid her heed, when she told you not to cut down forest
trees,
but you did not see the wisdom of her pleas,
and now the taps are dry.

You did (i)___________to her when she told you to plant trees. Now there is no (ii)____________. You tell me that (iii)________________ to control and distribute a limited supply of water in order to conserve water. You should have controlled your greed and paid attention when she told you (iv) ____________the forest, but you
did not understand how (v)______________. And now there is no water in the taps.

Translate in to Tamil: [5]

A co-passenger on the bus you travel in has slipped and sprained his ankle. He wishes to go to a hospital nearby. Someone gives him the instructions in Tamil. As he is new
to Tamil Nadu, he does not understand the language.



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