Wednesday, September 15, 2010

class 10 malayalam medium mathematics lesson 1,2,3,4,5.



classx maths lesson 1,2,3,4..

GUIDANCE TUITION CENTRE ALAKODE
FIRST TERM EVALUATION
MATHEMATICS –CLASS X TIME 2HRS MARK 80
1. 6,5……is an arithmetic progression.
a. What is the common difference?
b. Write next two terms of this AP.
c. Is 87 a term of this AP?Why?
2.In figure CED =20. Find x , y, z ?






3. If | a+1| = | a+5| ; | b-3 | = | b-6 | ; | a-x | = | b-x | . what is the value of a, b ,and x?
4.A clock strikes the number of times of the hour. How many strikes does it make in one day?
5. A circle is drawn with centre on the number line. Centre denotes the number 5. The circlecuts the number line at 11. What is the radius of the circle. The circle cuts the number line ata second point. What is the number denoted by the second point of intersection.
6. Prove that no number when added to 13 times of its reciprocal will give the number 7.
7 a.What is the 18th term of an Arithmetic progression whose nth term is 3n - 4.
( b) What is the nth term of the arithmetic progression 12, 18, 24, .....?
(c) 3n2 + 5n will never be the nth term of an Arithmetic progression. Why?

8. In the figure two semi circles with centres on line BF are shown. AC = 16, BC = 1
AF = 9.
What is the length of line CD? What is the length of the line DE?



9. In a right angled triangle , base and altitude are 5x and 3x-1 respectively. Area is 60 cm2 .what are its sides?

10. As a part of an assignment Smitha wrote all multiplies of 8 between 200 and 700.
Sateesh wrote all numbers between 200 and 700 which leave a remainder 3 when
divided by 8.
Who wrote more numbers? How many more?
What is the difference between the sum of numbers written by Smitha and the sum of
numbers written by Sateesh



11. As a part of an assignment Smitha wrote all multiplies of 8 between 200 and 700.
Sateesh wrote all numbers between 200 and 700 which leave a remainder 3 when
divided by 8.
Who wrote more numbers? How many more?
What is the difference between the sum of numbers written by Smitha and the sum of
numbers written by Sateesh?

12. (B) (a) Write an arithmetic progression consisting of 5 terms whose sum is 30.
(b) Sum of 21 consecutive terms of an arithmetic progression is 420. What will be
the 11th term of that progression.
(c) Sum of the first term and the 20th term of an arithmetic progression is 100. What
will be sum of the first 5 terms and the last5 terms of the above progression?

13. In figure ADC= 130, find BAC?


14. What is the nature of solutions of
following equations?

1) 2x2+x-1=0
2) x2+x+1=0
3) x2-4x+4=0

15. Babu and Basher starts their journey simultaneously from Kozhikode, Babu travels by a car and Basheer by aKSRTC bus .speed of the car is 10km/hr greater than bus To travel 360 km, car takes 3hrs less than that of bus
a. Form a quandratic equation by taking speed of bus x
b. Find the speed of car and bus.

16.Draw 3+7 on numberline

Tuesday, September 14, 2010

class 9 circles

1) Draw using compasses only two circles that are orthogonal (That intersect
at right angles. Ie; such that the tangents to the circles at a point of their
intersection are perpendicular.
2) Two intersecting circles C1 and C2 have common tangents which touches C1
at P and C2 at Q. The two circles meet at M and N where N is nearer to PQ
than M is. The line PN meets the circle C2 again at R. Prove that MQ bisects
angle PMR ?
3) ABCD is a quadrilateral inscribed in a circle. Diagonal BD divides AC into two
segments, one of which is twice as long as other. If AB =10, AD = 12 and DC
= 11 Find BC?
4) Triangle ABC is right angled at A and the radius AB cuts BC and AC internally
at points D and E respectively. If BD = 20 and DC = 16 Find AC

Friday, September 10, 2010

RAMSAN ASAMSAKAL

ഏറെ നന്മകളും സുകൃതങ്ങളും നിറഞ്ഞ റമദാനിന്റെ അര്‍ത്ഥപൂര്‍ണമായ സന്ദേശമേതാണെന്ന് ചിന്തയിലെപ്പോഴെങ്കിലും ഒരു ചോദ്യമുയര്‍ന്നിട്ടുണ്ടോ? സംശയമേ വേണ്ട, സര്‍വതോമുഖമായ വ്യക്തിശുദ്ധീകരണവും ആത്മശിക്ഷണവും തന്നെ. വ്യക്തിയുടേയും സമൂഹത്തിന്റേയും ഉന്നമനത്തിന് വഴിവെട്ടമേകുന്ന ഒരു മഹദ്സന്ദേശമല്ലേയത്? ദാനം മഹത്തായ പുണ്യമെന്ന യാഥാര്‍ത്ഥ്യത്തെ മുറുകെപ്പിടിച്ച് തനിക്കു താഴെയുള്ളവനെ കൈപിടിച്ചുയര്‍ത്താന്‍ വ്രതവിശുദ്ധിയുടെ നാളുകളിലെന്നല്ല, എന്നും ഏവരും ഒത്തൊരുമയോടെ പ്രവര്‍ത്തിക്കുന്നത് മനുഷ്യനൊരു മാതൃക തന്നെ. പുണ്യമാസത്തെക്കുറിച്ചുള്ള വായനക്കിടയില്‍ മനസ്സില്‍ത്തട്ടിയ ഒന്നു കൂടി ഈ ആശംസയ്ക്കൊപ്പം പങ്കുവെക്കട്ടെ. റമദാനില്‍ വിശുദ്ധപ്രവാചകന്‍ മന്ദസമീരനെപോലെ ദാനംചെയ്യുമായിരുന്നെന്നാണ് പ്രമാണങ്ങളിലെ പരാമര്‍ശം. ആകര്‍ഷണീയമായ ഈ ചിന്തയുടെ മാധുര്യം നോക്കൂ. കാവ്യഭംഗിയും ഗഹനമായ ആശയവുമുള്ള സുന്ദരമായ ഒരു പരാമര്‍ശമാണത്. കാറ്റ് എവിടെ നിന്ന് വരുന്നുവെന്നോ, എവിടേക്ക് പോവുന്നുവെന്നോ എന്ന് ആര്‍ക്കെങ്കിലും അറിയാനാകുമോ? കാറ്റിനെ ആര്‍ക്കും കാണാനാകില്ലെങ്കിലും അതിന്റെ ലക്ഷണങ്ങള്‍ നമുക്ക് അനുഭവിക്കാന്‍ കൂടി സാധിക്കുന്നു. കാറ്റിന് കുളിരുണ്ട്, സാന്ത്വനവും സമാധാനവുമുണ്ട്.

Wednesday, September 8, 2010

cbse class x mathematics questionpaper

Sample Paper – 2010


Class – X

Subject – Mathematics



Time: 3 hrs prepared By:

M.M. 80



General instructions:

1. All the questions are compulsory

2. The question paper consists of 30 questions divided into four sections A, B, C and D. Section A contain 10 questions of 1 mark each; section B contains 5 questions of 2 marks each, Section C contains 10 questions of 3 marks each, section D contains 5 questions of 6 marks each.

3. There is no overall choice. However, an internal choice has been provided in one question of 2 marks, three questions of 3 marks each and two questions of 6 marks each.

SECTION A

Q1. State fundamental theorem of arithmetic?

Q2. If an = 2 – 2n, find the value of 19 th term of an AP.

Q3. Find the HCF of 40 and 130.

Q4. 1 is zero of x3 – k, find the value of k.

Q5. Find the value of 2sin300/ (tan2450+cosce2450).

Q6. Find the value of k, if the equation kx2+4x+4=0 have real and equal roots.

Q7. Find the value of x, if the mean of 10, 15, 5, x, 8 is 20.

Q8. Find the 30th term of 10, 7, 4…

Q9. What is the probability of sure event?

Q10. Write the condition to be satisfied by q so that a rational number p/q has a terminating decimal expansion.

SECTION B

Q11. Prove that for number n ε N, 12n end with the digit zero.





Q12. Two concentric circles are of radii 5 cm and 3 cm. find the length of the chord of the larger circle which touches the smaller circle.

Q13. Draw a circle of radius 6 cm from a point 10 cm away from its centre , construct the pair of tangents to the the circle and measure their lengths.

Q14. Find the value of k for which the following points are collinear, ( 7 , -2 ) , ( 5 , 1 ) , ( 3 , k )



Q15. If tanA = 4/3 then find the value of sinA + cosA/ cosec A

OR

Evaluate 2 cos670/ sin 230 - tan 400 / cot 500 – sin 900

SECTION C

Q16. 2 woman and 5 men can together finish a piece of embroidery in 4 days, while 3 woman and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the embroidery, and that taken by 1 man alone.



Q17. Draw the graphs of the equations 2x-y+6=0 and 4x+5y-16=0. Also determine the coordinate of the vertices of the triangle formed by these lines and x axis.

OR

Find the value of k of for which the following system of equations has infinitely many solutions 12x +k y = k , k x+ 3 y = k-3



Q18. Solve the equation by using quadratic formula.

abx2 + (b2 -ac) x – b c = 0

OR

The sum of the squares of two consecutive natural numbers is 421. Find the numbers.



Q19. The nth term of an AP is given by an=9-5n, find the sum of first 15 terms of an AP.

Q20. Draw a pair of tangents to circle of radius 5 cm which are inclined to each other at an angle of 600.

OR

Prove that: Tan A/ (1 –tan A) +cot A / (1 – tan A)= 1 + sec A .cosec A



Q21. Find the roots of the equation 9x2-15x+6=0 by method of completing the square.

Q22. Prove that ( 4 , 3 ) , ( 6 , 4 ) , ( 5 , 6 ) and ( 3 , 5 ) are the vertices of a rhombus.



Q23. State and prove Basic Proportionality theorem.




Q24 Water in a canal 6 m wide and 1.5 m deep is flowing with a speed of 10 km/h. how much area will it irrigate in 30 minutes, if 8 cm of standing water is needed.

Q25. Find the sum of all natural numbers between 100 and 500 which are divisible by 8.



SECTION D



Q26. Find the mean, median and mode of the following frequency distribution table

Classes: 5 – 10 10 – 15 15 – 20 20 – 25 25 - 30 30 – 35

Frequency: 10 2 4 5 7 9



Q27.The angle of elevation of the bottom and top of a flag staff at the top of a building as seen from a point at a horizontal distance of 10 m from the foot of the building are 300 and 450 respectively. Find the height of the flag staff.

Q28.Prove that (TanA + sec A – 1)/(tanA – secA + 1)=(1 + sin A)/ cos A

OR

Solve: 4/(x + y) = 6 / (x – y) +3, 1 / 2 (x +y) = 1/ 3(x-y) +3/2



Q29.In a∆ ABC, AD is a median and AE is perpendicular to BC.If BC= a, CA= b, AB=c, AD = p, AE = h and DE = x, prove that b2+c2 = 2p2 + ½ a2.

Q30. Solve for x, (2x + 2) / (x – 1) + (x – 2) / (x + 1) = 5 /2

OR

In a circle of radius 21 cm, an arc subtends an angle of 600 at the centre. Find

(a) The length of an arc

(b) Area of the sector formed by the arc

(c) The area of the segment formed by the corresponding chord.

Tuesday, September 7, 2010

GUIDANCE TUITION CENTRE ALAKODE


FIRST MONTHY EXAM CLASS -10

ENGLISH



Total Score-100

Time – 3 hrs

Questions 1 to 7

Read the following passage from “the cherry tree” and answer the questions that follow.



But the birds liked them –especially the bigger birds , such as the bulbuls and scarlet minivets-and they flitted in and out of the foliage ,feasting on the cherries.



On a warm sunny afternoon, when even the bees looked sleepy,Rakesh was looking for grandfather without finding him in any of the favourite places around the house.Then he looked out the bedroom window and saw grandfather reclining on a cane chair under the tree.

There is just the right amount of shade here,’ said grand father.’And like looking at leaves.’

They are pretty leaves,’said Rakesh ‘And they are always ready to dance,if there’s breeze’.

After grand father had come indoors,Rakesh went in tithe garden and lay down on the grass beneath the tree.He gazed up trough the leaves at the great blue sky;and turning on his side,he could see the mountain striding away in to the clouds.He was still lying beneath the tree when evening shadows crept across the garden.Grand father came back and sat down beside Rakesh ,and they waited in silence until it was dark.

17*2=34

1. What did the birds like?

2. Who was feasting on the cherries?

3. Why did grandfather love to sit under the cherry tree?

4. Are the mountains really moving away? Explain.

5. When was Rakesh looking for his grandfather?

6. Why did grandfather and Rakesh like the cherry tree so much?

7. Write one word from the passage for the following.

a. A gentle wind

b. Moved slowly and silently

8. “Grandfather came back and sat down beside Rakesh .They waited in silence until it

was dark.”-What might both of them be thinking about ?Write a few sentences of your own



Read the following lines from ‘A stormy Night’ and answer the questions that follow.



I think of helpless birds and beasts

Exposed to wind and rain,

Of little shivering homeless things

That seeks for warmth in vain.

And thoughts of sailors in distress

Longing for dawn to break

Disturb my mind and move my heart

And keep me wide awake.



9. Why were the sailors in distress?

10. How did the wind and rain affect the birds and beasts?

11. What made the boy keep awake?

12. Which expressions say that the birds and beasts were in need of warmth?

13. Write the rhyming words from this stanza.

Read the stanza of the poem a stormy night and answer the following questions



And thoughts of sailors in distress

Longing for dawn to break ,

Disturb my mind move my heart

And keep me wide awake.



14. What thoughts disturb the boys mind?

15. What do the sailors long for?why are they in distress?

16. Give one example for alliteration?

17. Mention the rhyming scheme followed in the lines 18 t0 29 score6

18. The cherry tree brought Rakesh and grand father close to nature.Imagine that grandfather tells the story of the cherry tree to one of his friends.Write the story in grandfathers own words.

You may begin like this;

Rakesh my grandson is fond of cherries.One day……………………………

19. your school has decided to organize a function in connection with the launching of ‘Ente Maram’ project.The director of public instructions will inaugurate the project by planting saplings.Write a notice in this regard to be circulated to all classes.

20. Iimagine that you are asked to prepare a short speech about the importance of planting trees and keeping the environment green .Write a short speech about a page.

21. In the story the cherry tree you have seen Rakesh a boy who loves the cherry tree more than anything else. A woman cutting grass cut the tree in two.What would be Rakesh’s dairy entryon that night?Imagine that you are Rakesh and write the dairy.

22. Many trees are being cut down near your house to build a road.How would you stop this crime?What suggestions would you give as a solution to this problem?.Write a dialogue between you and your friends and the local authorities(six exchanges)

23. The finding of a survey conducted in a class based on “TV advertising- should it be controlled” is given below.write a paragraph based on the findings.

A: Should be banned completely

B: Should be on TV only after 8 pm

C: Only certain products should be banned.eg. alcohol

D: No restriction

24. Rakesh went to stay with his parents during the monsoon. He wants to know about the cherry tree.So he writes a letter to his grand father.Write a likely letter

25. There are few mistakes in the following passage .They are underlined .Correct them and rewrite the passage.



During the monsoon Rakesh had gone home to his village.When he reach there ,his father sow the seeds in the field .He help his father in the farm work.

26. In the following passage one word has been omitted in each line.Supply the write word where ‘/’ is marked.Choose it from the box given below.



Most of Venus is permantly covered / clouds of

Sulphur and Sulphuric acid ,/ these clouds absorb

so much of the sun’s light that / the surface of the

planet,there is no more / a dark reddish gloom.

The Russian spacecraft Venuera 9 and 10 found/

There was enough light / take TV pictures.This light,

however came not /the sun but from flashes of

lightening given off / continual electrical storms.



(on, and, than, that,to, in, from, by)

26 Read the following passage .certain words are missing in it.Choose them from the list given below.



Rakesh ………a beautiful little bud on the cherry tree.He decided to ….. his joy in the form of a poem . Just then,the gate was opened and his friend Vijay …… Rakesh decided to………. his plan and went to play with Vijay.

(came in , came away, came across, put down, put aside)

27 Read the dialogue between rakesh and his grand father and report it .



“It’s sour”,Rakesh said

“They will be better next year”, said grand father.

28 .Write a small profile of Pratibha Patil with the help of the following hints.

Birth –Dec .19,-Nadgaon Village- Maharashtra

Education :School- RR Vidhyalaya Jalgaon, Maharashtra

College –MA from Modjee Jetha College,Jalagaon

LLB from Govt.Law College,Bombay.

Career :Apracticing lawyer

Social Activities :Music,Computer,sewing classes for the poor-work for women empowerment

Political Career :MLA-MP –Deputy Minister-Cabinet

Minister-12th President-1st woman President

Family :Husband –Dr.Devsingh Sekhawat

Children –A daughter and son

29 Write a short paragraph about the visitors to the cherry tree


















GUIDANCE TUITION CENTRE ALAKODE


FIRST MONTHY EXAM CLASS -10

ENGLISH



Total Score-100

Time – 3 hrs

Questions 1 to 7

Read the following passage from “the cherry tree” and answer the questions that follow.



But the birds liked them –especially the bigger birds , such as the bulbuls and scarlet minivets-and they flitted in and out of the foliage ,feasting on the cherries.



On a warm sunny afternoon, when even the bees looked sleepy,Rakesh was looking for grandfather without finding him in any of the favourite places around the house.Then he looked out the bedroom window and saw grandfather reclining on a cane chair under the tree.

There is just the right amount of shade here,’ said grand father.’And like looking at leaves.’

They are pretty leaves,’said Rakesh ‘And they are always ready to dance,if there’s breeze’.

After grand father had come indoors,Rakesh went in tithe garden and lay down on the grass beneath the tree.He gazed up trough the leaves at the great blue sky;and turning on his side,he could see the mountain striding away in to the clouds.He was still lying beneath the tree when evening shadows crept across the garden.Grand father came back and sat down beside Rakesh ,and they waited in silence until it was dark.

17*2=34

1. What did the birds like?

2. Who was feasting on the cherries?

3. Why did grandfather love to sit under the cherry tree?

4. Are the mountains really moving away? Explain.

5. When was Rakesh looking for his grandfather?

6. Why did grandfather and Rakesh like the cherry tree so much?

7. Write one word from the passage for the following.

a. A gentle wind

b. Moved slowly and silently

8. “Grandfather came back and sat down beside Rakesh .They waited in silence until it

was dark.”-What might both of them be thinking about ?Write a few sentences of your own



Read the following lines from ‘A stormy Night’ and answer the questions that follow.



I think of helpless birds and beasts

Exposed to wind and rain,

Of little shivering homeless things

That seeks for warmth in vain.

And thoughts of sailors in distress

Longing for dawn to break

Disturb my mind and move my heart

And keep me wide awake.



9. Why were the sailors in distress?

10. How did the wind and rain affect the birds and beasts?

11. What made the boy keep awake?

12. Which expressions say that the birds and beasts were in need of warmth?

13. Write the rhyming words from this stanza.

Read the stanza of the poem a stormy night and answer the following questions



And thoughts of sailors in distress

Longing for dawn to break ,

Disturb my mind move my heart

And keep me wide awake.



14. What thoughts disturb the boys mind?

15. What do the sailors long for?why are they in distress?

16. Give one example for alliteration?

Monday, September 6, 2010

mathematics arithemetic progression english medium

GUIDANCE TUITION CENTRE


ALAKODE

MONTHLY EXAM-1

MATHEMATICS



TIME:2HRS

MARK:100



1. 5x-6. 3x and 7x-18 are three consecutive terms of an AP.Find middle term by finding the value of x



2. nth term of an AP is 12-2n

a. what is the common difference?

b. What is the first term

c. Write AP?

d. Find its 20 th term

e. Is -188 a term of this AP? Why?

f. Find the sum of first 50 terms of this AP?

3. The sum of the first and 50th t terms of an AP is x.Find the sum of the 25th and 26th terms of the progression?



4. sum of n terms of an AP is n²+2n.

g. Find AP?

h. What is the common difference?

i. Find the sum of the first 15 terms of it?



5. Three numbers are in the ratio 3:4:6. If 9 is subtracted from the third number, they are in AP.Find the numbers?



6. Calculate the sum of all integers between 150 and 450 which are exactly divisible by 11?



7. The sum of first 19 terms of an AP is 339.find its 10th term?



8. If the sum of three consecutive terms of an AP is 33 and product is 935, then find AP?



9. From a progression of the numbers between 300 and 700 which leaves a remainder 2on dividing by 6.form another progression with numbers between 300 and 700 which leaves a remainder 5 on dividing by 6. what is the difference between the sum of terms of these two progressions



10. The mth term of AP is n . nth term is m . what is the common difference?



11. A tomb is being constructed using bricks. 5000 bricks were required for the foundation step. 4875 bricks were required in the second steps. 4750 bricks in the third step and so on .find the total number of bricks used to construct the tomb? It was decided to increase the height of the tomb by 6 more steps. How many more bricks are required to complete the tomb? What is the number of bricks in the top most of the on tended tomb?



12. What is the difference between 20th terms of two arithmetic progressions with same common difference and first terms 3 and 8 ?Justify your answer.



13. In a shop soaps are arranged in rows one above the other there are 31 soaps at the bottom row ,29 above it and 27 above it and so on .if the top most row contains only one soap,find total number of soaps?



14. . Find the sum of first 30 terms of an A. P. whose nth term is 2 + 1/2n



15. Which term of the sequence 114, 109, 104 .... is the first negative term ?



16 what is the midterm of the AP with first term 4 and common difference 7?.find the sum of first term and last term of this AP?



17. 1 ,4 ,7 ,10 ,13 ,16 ,19…………………

4 ,8 12 ,16 ,20 ,28………………………

7 ,12 ,17 ,22 ,27……………………..

10 ,16 ,22 ,28 ,34…………….

…………………………

……………………………………

There are 21 rows in this method

What is the first term of 21st row ?

What is the common difference of 21st row?

Find the sum of first 41 terms of 21st row?



18. 15th term is 65 more than 10th term of an AP with first term 21,

a. what is common difference?

b. what is the nth term?

c. is 398 a term of this AP? Why?



19. Write an AP with first term ‘x’ and common difference ‘x’. Find the sum of the first 40 terms of this AP?



20. In an AP the 10th term is same as 40 added to its 5th term The 15th term of this progression is 127.Find common difference and first term ?



21. Write down the AP with common difference 6 .State whether 75 can be the difference between any two terms of this progression .Why?
GUIDANCE TUITION CENTRE ALAKODE

UNIT TEST 2

CLASS X

ENGLISH TIME-45MNTS

VERSION A SCORE- 20

Read the following passage and answer the questions that follow.



As we made the rounds,my interest was again provoked by their remarkable demeanor. They were childish enough, and in many ways quite artless.Jacopo was lively as a squirrel Nicolas smile was steady and engaging. Yet in both these boyish faces there was a seriousness which was far beyond their years.



What stuck one most was their willingness to work. During these summer days, under the hot sun, they shined shoes,sold fruits,hawked news papers,conducted tourists round the town, and ran errands.

1. “As we made rounds”Aho does we refer to? I

2. What raised the interest of the author? 1

3. What was most striking about the boys? 1

4. What were the jobs the boys did? 1

5. The author is very pleased with the boys.So he writes about them in his dairy. Imagine you as the author

and prepare a dairy. 3



Read the lines from the poem “home they brought her warrior dead”

Stole a maiden in her place ,

Lightly to the warrior stept,

Took the face cloth from the face

Yet she neither moved nor wept



Rose a nurse of ninety years,

Set his child upon her knee-

Like summer tempest came her tears-

“ Sweet, my child, I live for thee.”

6. Why did the maiden take the face cloth from the face of the dead soldier? 1

7. How did the woman respond when the face cloth of the soldier was removed ? 1

8. What did the nurse do to make the woman weep? 1

9. A simile compares two separate things. Indicate the points of comparison taking examples from the second stanza above. 1



10. imagine that Jacopo and Nicola decide to write a letter to the kind tourist who drove them in his car to the hospital. They reveal their family story to him.write a likely letter to him. 3



11. report the following dialogue

The author :I thought you picked fruit for a living .

Nicola :we do many things, sir, often we show visitors through the town. 1

12. frame suitable request for the situations given below using words in brackets.

You don’t know the way to the zoo. Ask a person standing there.(could) 1

13.complete the following paragraph choosing the right phrases from the boxes given below

Nicola had ……….. a jersey and kakhi pants . Jacopo , a shortened army tunic. Both of them ………. To the hospital at Poleta .On the way they ……. talking to each other. 2

(set out, put up , put on , kept on)

14. There are a few mistakes in the following passage . They are underlined for you.correct them .

The author look through the glass partition. Nicola and Jacopo sit at the left side of a girl of about twenty . The girl wear pretty jacket . A dish of fruits keep on a table nearby 2

classx english

1. Rakesh was a six year old boy who lived with his grandfather in the Himalayan


foot hills. One day when he was returning from school, he went to a shop nearby

and asked for a bunch of cherries.

What would be the likely conversation between Rakesh and the shop keeper .

2. There are some words missing in the passage given below, find suitable words to

fill in the blanks.

Rakesh bought / bunch / cherries and ate a few of them on his way home.

He kept three cherries / his grandfather. He saw his grandfather / the

garden. He offered the cherries to him. He took one and Rakesh ate / two

left.

3. “Are these seeds lucky?” asked Rakesh“Of course” replied grandfather

Then Rakesh said, “I will keep it somewhere”Grandfather said, “Nothing is lucky if you put it away. if you want luck,

you must put it to some use.”Report the conversation between Rakesh and his grandfather

4.Rakesh planted the seed in the shady corner of his garden. The cherry seed sprouted

and grew. Rakesh gave it good care. One day a goat ate all its tender leaves but his

grandfather assured him that it would grow. Then another misfortune befell the

cherry tree. The grass cutting women cut it into two. Rakesh was really upset and

he lost all hopes, his grandfather could not assure him this time.

Rakesh felt very bad that day. He wrote his feelings in his diary. Write the likely

diary of Rakesh.Rakesh was growing up too soon. So was his cherry tree. Rakesh was sturdy boy of

eight by then. He was called for helping his parents in the village. He helped them

with the farming work during the monsoon. He was anxious to know about the

cherry tree when he was not there. He wrote a letter to his grandfather inquiring

about it. His grandfather promptly replied to his letter.

Write the likely letter Rakesh’s grandfather wrote to him



5. Birds and bees came to feed on the nectar in the blossoms. The tree kept

blossoming right through the spring. It gave plenty of sweet cherries.

Rakesh collected the cherry fruits and gave them to all of his friends.

Rakesh became famous in the school for his love of nature, all because of his cherry

tree. The school nature club decided to invite Rakesh to make the keynote speech

in connection with ‘ente maram project’.

Prepare a notice to inform all the students

about this programme

6. One day the narrator met two boys on the outskirts of Verona

selling fruits. He bought a basket of fruits from them. Later he met them

near the restaurant with shoeshine boxes doing a busy work. One night

he saw them selling newspapers at late hours of the night. The narrator

was surprised to find that they did many odd jobs like selling fruits,

shinning shoes, selling newspapers and they used to take tourist

around the city. He met them at the deserted square at late night.

He asked them, ”What are you doing at this time here?”

“We are waiting for the last bus from Padua to sell the

remaining newspapers,” replied the boys.

Report the conve rsation between author and the boys

7. The boys proved to be very helpful to the narrator. They became close friends.

The narrator thought that the boys worked so hard to emigrate

to States. He asked them about this and they said that they had

some plans. The boys asked him for a favour. They wanted him to take

them to Poleta, a far away village. He agreed to do that.

This journey changed all his previous impressions about these boys. He

came to know about their family and their sick sister undergoing

treatment in the hospital.

He was deeply moved by their heart rending story. He could not sleep that night.

He wrote about them in his diary.

Write the likely diary of the narrator.

8.The narrator learned about their family from the nurse. He did

not want to let the children know that he heard their story from the

nurse. He felt very sad. He realized that the Civil War was the cause of

all these miseries in their life. He hated all wars that cause human misery.

Do you hate wars?

Your school decides to organise an Antiwar campaign on Hiroshima Day.Prepare a notice to inform all the studentsYou are asked to prepare some slogans against war for the campaign. on Hiroshima Day.

Prepare a notice to inform all the students

സമാന്തര ശ്രേണി-1

GUIDANCE TUITION CENTRE ALAKODE


MATHEMATICS UNIT TEST-I

TIME-2HRS

MARK-100

1. 8x+7, 15, 2x-7 ഇവ ഒരു സമാന്തര ശ്രേണിയുടെ തുടര്‍ച്ചയായ 3  പദങ്ങള്‍ ആണെങ്കില്‍
a. x ന്റെ വിലയെന്ത് ?
b. ശ്രേണിയുടെ അടുത്ത പദം കാണുക



2. 41/2 , 8, 111/2 എന്നാ ശ്രേണിയുടെ അടുത്ത പദം കാണുക

(1)] പൊതുവിത്യാസം കാണുക

(2)14- അം  പദം കാണുക



3. ഒരു AP യുടെ n -mw പദം 12 -2N എങ്കിÂ

a. s]mതുവിത്യാസം എത്ര ?

b. ആദ്യപദം എത്ര?

c. സമാന്തര ശ്രേണി എഴുതുക?

d. 20 -mw പദം എത്ര ?

e. -188 ഈ ശ്രേണിയിലെ ഒരു പദമാകുമോ എന്തുകൊ­v

f. ഈ AP യിലെ 50 പZങ്ങളുടെ തുകയെത്ര?

4. s]mതുവിത്യാസം തുല്യമായ ര­p സമാന്തര t{iWnകളുടെ 25 -mw പദങ്ങള്തമ്മിലുള്ള വിത്യാസം 100 എങ്കില് 100 -അം പദങ്ങള് തമ്മിലുള്ള വിത്യാസം എത്ര ?

5. ഒരു AP യുടെ 50 പദങ്ങളുടെ തുക X എങ്കില് 25 -mw പദത്തിsâയും 26 -mwപദത്തിsâയും തുകയെത്ര?

6. ഒരു സമാന്തര ശ്രേണിയുടെ n-mw പദം 3n+5 ആയാÂ

(a) s]mതുവിത്യാസം എന്ത് ?

(b)ആദ്യപദംഎന്ത് ?



7. ഒരു സമാന്തര ശ്രേണിയുടെ ആദ്യത്തെ 13 പദങ്ങളുടെ തുക 416 അതിsâ 7-പദം എത്ര?

8 a. .n-mw പദം 3+4n ആയ ഒരു സമാന്തര ശ്രേണിയുടെ 23-mw പദം കാണുക



b. ഈ സമാന്തര ശ്രേണിയിലെ 23- മത്തെ പദത്തിനോട് 132 കൂട്ടിയാല് ലഭിക്കുന്നത് എത്രാമത്തെ പദമാണ്?



9. ഒരു സമാന്തര ശ്രേണിയുടെ ഏഴാമത്തെ പദവും രണ്ടാമത്തെ പദവും തമ്മിലുള്ള വ്യത്യാസം 20 ആണ്.

a. പോതുവ്യത്യാസം കാണുക

b. ഈ സമാന്തര ശ്രേണിയുടെ മൂന്നാമത്തെ പദം 9 ആയാല് ആദ്യത്തെ എത്ര പദങ്ങളുടെ തു കയാണ് 153



10. ഒരു സമാന്തര ശ്രേണിയുടെ ആദ്യത്തെ 5 പദങ്ങളുടെ തുകയുടെ 4 മടങ്ങാണ് ആദ്യത്തെ പത്തു പദങ്ങളുടെ തുക ആദ്യ പദവും പോതുവ്യത്യസവും തമ്മിലുള്ള അമസബന്ധം എന്ത്?



11. പോതുവ്യത്യാസം 7 ആയ ഒരു സമാന്തര ശ്രേണിയുടെ ഒരു പദമാണ് 73 എങ്കില്

a. ആ ശ്രേണിയില് വരുന്ന തൊട്ടടുത്ത വലിയ പദം ഏത്?

b.100 നും 200 നും ഇടയിലുള്ള ഈ ശ്രേണിയിലെ ഏതെങ്കിലും ഒരു പദം എഴുതുക

c. ഈ ശ്രേണിയില് ഉÄപെടുന്ന ഏറ്റവും വലിയ മൂന്നക്ക സംഖ്യ ഏത് ഈ ശ്രേണിയില് ഉÄs]ടുന്ന 100 നും 1000 നും ഇടയിലുള്ള പദങ്ങളുടെ തുകയെത്ര?



12 ഒരു സമാന്തര ശ്രേണിയുടെ തുടര്ച്ചയായ മൂന്നു പദങ്ങളുടെ തുക 33 ഉം ഗുണനഫലം 935 ഉം ആയാല് ആദ്യപദവും പൊതു വിത്യാസവും കണ്ടുപിടിച്ച സമന്തരസ്രേനി രൂപികരിക്കുക



13. തുല്യ പൊതുവിത്യസമുള്ള 2 സമാന്തര t{iWnകളുടെ ആദ്യപദങ്ങള് 3 ഉം 8 ഉം ആണെങ്കില് ഇവയുടെ ഇരുപതാം പദങ്ങള് തമ്മിലുള്ള അന്തരം എത്രയായിരിക്കും?



14. 1 മുതല് തുടര്ച്ചയായ n എണ്ണÂ സംഖ്യകളുടെ തുക 80 ആകുമോ? വ്യക്തമാക്കുക

15 ബഷീÀ ഒരു മാസം ചെലവുകഴിഞ്ഞു 800 രൂപ മിച്ചം വയ്ക്കുന്നു .c­mw മാസം 850 രൂപയും , മൂന്നാം മാസം 900 രൂപയും മിച്ചം വയ്ക്കുന്നു .ഇതുപോലെ തുടÀ¶vt]mയാല് ഒരു വര്ഷം കഴിയുമ്പോÄ അയാളുടെ സമ്പാദ്യം എത്രയായിരിക്കും ?



16. താഴെ കൊടുത്തിരിക്കുന്ന സംഖ്യാ പാtÁ¬ ശ്രെദ്ധിക്കു



1 =1

1 +2 = 3

1+ 2+3 =6

1+2+3+4 =10

………………………………………………………………………..

…………………………………………………………………..



a. തന്നിരിക്കുന്ന പാtÁWnse അ©mwവരിയും ആറാം വരിയും എഴുതുക

b. 10- വരിയിലെ സമത്തിsâ വലതുഭാഗത്തെ സംഖ്യ എന്തായിരിക്കും ?

c. പറ്റെര്നിലെഒടുവിലത്തെ വരി എത്രാമത്തെ വരിയാണ് ?



17. 2n²+3n, 7n-3 ,2n²-3n

a. ഇവയില് ഒരു സമാന്തര ശ്രേണിയുടെ n-mw പദമാകുന്ന ബീജഗണിത വാചകമേത്?

b. ഈ n-mw പദം നിÀ®യിക്കുന്ന സമാന്തര ശ്രേണിയുടെ 15-mw പദം കാണുക

18. ഒരു കടയില് സോപ്പുകള് വച്ചിരിക്കുന്നു ഏറ്റവും അടിയിലെ വരിയില് 31 സോപ്പും , അതിനു മുകളിലത്തെ വരിയില് 29 സോപ്പും അതിനു മുകളില് 27 സോപ്പും ഏറ്റവും മുകളിലത്തെ വരിയില് ഒരു സോപ്പും ഉണ്ടെങ്കില് അകെ എത്ര സോപ്പുകള് ഉണ്ട് ?



19. ഇഷ്ടികകള് ഉപയോഗിച്ച ഒരു സ്തൂപം പണിയുന്നു .ഇതിന്റെ തറ നിരപ്പില് 5000 ഇഷ്ടികകള് വേണ്ടിവന്നു തൊട്ടു മുകളിലത്തെ വരിയില് 4875 ഇഷ്ടികകള് എന്നരീതിയില് 20 വരികളുടെ പണി പൂര്ത്തിയാക്കി. ഇരുപത് വരികള്കെട്ടുന്നതിനു എത്ര ഇഷ്ടികകള് ഉപയോഗിചിരിക്കും? പിന്നീട് ഇതേ രീതിയില് 6 വരികള് കൂടെ നിര്മിക്കുന്നു എങ്കില് ഇനി എത്ര ഇഷ്ടികകള് കൂടി വേണം? ഇപ്രകാരം സ്തൂപം പൂര്ത്തിയാകുമ്പോള് ഏറ്റവും മുകളിലത്തെ വരിയില് എത്ര ഇഷ്ടികകള് ഉണ്ടായിരിക്കും?

20. ഒരു AP യുടെ മൂന്നാം പദം 16 ഉം 7 -mw പദത്തില് നിന്ന് 5 m-w പദം കുറച്ചാല് 12 ഉം കിട്ടുമെങ്കില് AP എന്ത് ?