class-ix - DPSG International

ACADEMIC SESSION: 2016-2017
CLASS-IX
GENERAL INSTRUCTIONS:
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Each child has to do all the homework assignment given for each subject.
Each student will present his/her homework.
Details have been intimated individually.
Files/ Projects have to be decorated nicely as per the topic given.
This homework ensures your FA 2 grades for each subject.
The Holiday Homework should be submitted by 10th July, 2016.
Submit your Home Work to respective Subject Teacher during the given dates.
ALL THE QUESTIONS GIVEN AS ASSIGMENT SHEET CAN BE DONE IN ASSIGNMENT
NOTEBOOK OR AS PER INSTRUCTIONS GIVEN.
SPECIFICATIONS:
• PROJECT TO BE DONE AS DIRECTED
Help Line: Ms. Nitu AgarwalMobile No.: 8650301516, Ms. PoojaBhanot Mobile No.9953812421
Email id: [email protected],
[email protected]
[email protected]
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ENGLISH :. 1. Write a story in about 500 words highlighting the importance of Education in today’s
society. You can take hints from ‘How I taught my Grandmother to Read’, Up from
Slavery’ etc. The story should have all the elements of a good story – setting, plot, 3
main characters, conflict, climax and ending. Present it on an A4 Sheet.
2. Prepare a comic strip of at least 2-3 A 4 size sheets on any one incident of the story
with complete dialogues.
Spiral worksheets - Road not taken, Brook, Tenses, Determiners, Future Time Reference
HINDI:
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p`stutkIijae.
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saMga`hkrkoekp`aojao@TtOyaarkIijae.
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AByaasapi~ka
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MATHS:Q1. Draw a pie chart showing the literacy rate of men and women in India.
Q2. Draw a pie chart showing the literacy rate of men and women in UP., Uttarakhand, Delhi, Haryana,
Himachal Pradesh, Rajasthan, Madhya Pradesh.
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Q3. Represent the literacy rate of men and women in the above mentioned states through a
double bar graph.
Worksheet 1
Number System
1
𝑥𝑥
Q1. If x= 3+2√2, find x2 + ( )2
Q2. Give two rational numbers lying between 0.232332333233332...and 0.212112111211112....
Q3. Give examples of two irrational numbers, the product of which is: (i) a rational number (ii) an irrational number
Q4. Rationalize the denominator of the following: (i) 1/(√2+√3+√5) (ii) (√3−1) / (√3+1)
Q5. Show by taking examples that the sum of two irrational numbers may or may not be an irrational number.
Q6. Evaluate: l/(√5−√3+√2)
Q7. Represent each number on number line 8/3 , 1.3 , -24 , 23/6
Q8. Find a rational number lying between (i) 0.75 and 1.2 (ii) -3/4 and-2/5
Q9. Insert six rational nos. between 3 and 4
Q10. Insert 16 rational nos. between 2.1 and 2.2
Q11. Express 0.9999999……. as a fraction in simplest form
Q12. Express 0.36 and 0.5 in the simplest form of rational no.
Q13. Without actual division, find which of the following rational are terminating decimal. 7/24 , 16/125
Q14. Write three numbers having non terminating non repeating decimal
Q15. Find an irrational number between 1/7 and 2/7
Q16. Represent following on Real line √2,√3,√5 ,,
Q17. Classify as a rational and irrational number and give reason to support your answer
(i) 3.040040004……..
(ii) 2/38.46
(iii) 7 - 2 (IV) 3+ 3
Q18. Simplify the following expression: (5 + √8) + (3 - √2) – (√2 − 6)
Q19. Find the value of a and b in each of the following cases.
(a) 5 + 2√3 / 7 + 4√3 = a - 6√3
(b) √2 + √3 / 3√2 - 2√3 = 2 - b√6
Q20. If a = 7 - 4√3 , find the value of √𝑎𝑎 +
1
√𝑎𝑎
Q21. Find the value of: 4/(216)-2/3 – 1/(256)-3/4
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Q22. Simplify: (a) 3√2 + √64 + √2500 (b) [(12)1/5/(25)1/5]5/2
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(c)
√5+ √3
√80+ √48− √45− √27
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Worksheet 1
Polynomials
Q1. Examine whether x + 2 is a factor of x3 + 3x2 + 5x + 6 and of 2x + 4.
Q2. Find the value of k, if x – 1 is a factor of x3 + 3x2 – 4x + k
Q3. Find the values of a and b such that the polynomial x3 + 10x2 + ax + b is exactly divisible by x – 1 and x
+2.
Q4. By Remainder theorem show that 3x3+ 11x2 + x – 15 is a multiple of x – 1.
Q5. Find the zeroes of the polynomial of each of the following:
(a) p(x) = x – 4
(c) p(x) = 7x2
(b) p(x) = rx + s
(d) p(x) = 2x + 1
Q6. Show that 5 is a zero of the polynomial 2x3 – 7x2 – 16x + 5
Q7. Show that the polynomial x2 + 2x + 3 has no zeroes.
Q8. Find the integral zeroes of the polynomial 3x3 + 8x2 – 1.
Q9. Find the value of p(x) = x3 – 3x2 + 5x + 7 for x = 0, x = 1 and x = -2
Q10. Factorise the following by splitting the middle term:
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(a) 24x2 – 65x + 21
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(c) 2x2 + 2x + 2
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(c) 3(x + y)2 – 5(x + y) + 2
Q11. If x – 3 and x - 3 are both factors of px2 + 5x + r, then show that p = r.
Q12. Using factor theorem, factorise each of the following:
(a) p(x) = x3 – 6x2 + 11x – 6
(d) p(x) = x2 – x – 6
(b) p(x) = x3 + 2x2 – 11x – 12
(e) p(x) = x2 – 5x + 6
(c) p(x) = x3 + 5x2 – 4x – 20
(f) p(x) = x3 + 13x2 + 32x +20
Q13. Evaluate using identities:
(a) 105 x 106
(c) 532
(b) 94 x 103
(d) 1062
Q14. Expand using suitable identity:
(a) (3a + 4b + 5c)2
Q15. Factorise:
(a) 27p3q3 + 64r3
2
3
(b) (x- y)3
(c) (3a + 4b)3
(d) (x – y – z)2
(b) 54x3y – 128y4
(c) 27x3 + 27x2 + 9x + 1(d) 8a3– b3 – 12a2b+ 6ab2
Q16. Without actually calculating cubes, find the value of:
(a) (17)3 + (-12)3 – (5)3
(b) 15)3 + (-9)3 + (-6)3
Q17. The volume of a cuboid is given by the expression ky2 – 6ky + 8k. Find the possible dimensions of the cuboid.
Q18. If x + y + z = 1, xy + yz + zx = -1 and xyz = -1, find the value of x3 + y3 + z3
Q19. If a + b + c = 9, a2+ b2 + c2 = 35, find the value of a3 + b3 + c3 – 3abc
Q20. Find a3 + 8b3 if a + 2b = 10 and ab = 15.
SCIENCE: 1. Research and prepare a project report on “How Science and Technologyhas
brought changes in the field of education”.
Prepare a report comparing the use of Science and Technology in the older & recent
pattern of education
2. Prepare a working model highlighting the use of Technology in Education.
Instructions:
• Use A4 size paper to write the report & report must be well decorated & handwritten.
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Use PPT , diagrams & scientific evidences to support the report.
Content based worksheets – Motion worksheet 1
Matter Level 1-2
Cell Level 1-2
SOCIAL SCIENCE:India became one of 135 countries to make education a fundamental right of every
child when the RTE Act came into force on 1 April 2010. Was this another 2 lakh 39 thousand crores
Rupees Education Investment Joke on the people of India?
Prepare an investigative Project Report on the RTE including the following points:
• Key features of the RTE
• Criticism that the RTE has had to face on various fronts, challenges and possible solutions in its
implementation
• The RTE is seen as a mock-up of the earlier SarvaShikshaAbhiyan and the World Bank funded
District Primary Education Program (DPEP). Prepare a comparative analysis of the earlier
SarvaShikshaAbhiyan, DPEP and the RTE.
• Compare the Primary, Secondary and Higher education systems of India with developed countries
like Japan or the United States of America
Compile your findings in a file on A4 size sheets.
Content based worksheets from spirals – French Revolution, Democracy in the Contemprary World,
Story of Village Palampur, India - Size and Location
ART:Draw and paint two landscapes or still life paintings on canvas board/handmade sheet.
Reference : Your art book, Acrylic by MilindMullick.
CLASS IN- CHARGE:
CO-ORDINATOR:
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