Salwan Public School
Sector-15 (II), Gurgaon
Holiday Homework (Winter Break)
Class – X
Social Science
Dear Students,
“New Year arrives with hopes and it gives us new courage and belief for a very new start.
Wish you and your family a very Happy New Year”.
An investment in knowledge pays the best interest. Let’s begin the year 2016 with new
learning.
Our project for winter break is United Nation Sustainable development. To begin with, all
the Students to imagine themselves as researchers, and prepare a dossiers for LEVEL - I.
They are also required to present the work in a class discussion.
What are the Sustainable Development Goals?
The Sustainable Development Goals, otherwise known as the Global Goals, build on the
Millennium Development Goals (MDGs), eight anti-poverty targets that the world
committed to achieving by 2015. The MDGs, adopted in 2000, aimed at an array of issues
that included slashing poverty, hunger, disease, gender inequality, and access to water and
sanitation. Enormous progress has been made on the MDGs, showing the value of a unifying
agenda underpinned by goals and targets. Despite this success, the indignity of poverty has
not been ended for all.
The new SDGs, and the broader sustainability agenda, go much further than the MDGs,
addressing the root causes of poverty and the universal need for development that works for
all people.
The Project Comprises Of Seventeen UN SUSTAINABLE DEVELOPMENT GOALS
BEYOND 2015.
All students to read the subject matter attached in the booklet “The world we want”.
(Click on the link given below)
http://www.unicef.org/post2015/files/TWWW_A4_Single_Page_LowRes_English.pdf
The project comprises of seventeen UN SUSTAINANLE DEVELOPMENT GOALS
BEYOND 2015for all the sections of classes IX and X.
The project comprises of five levels. To begin with, all the students will prepare a dossier for
level I of the project based on the following guidelines:
 The students will thoroughly read the attached booklet ‘The World we want’ and
answer the questions given with each goal.
 The students will understand the effect of the themes/goals and link the cause of the
theme to human activities.
 The students to kindly follow the procedure mentioned below for the same.
 Roll nos. 1-10 to work on goals/themes 1 to 4
 Roll nos. 11-20 to work on goals/themes 5 to 8
 Roll nos. 21-30 to work on goals/themes 9 to 12
 Roll nos. 31- last to work on goals/themes 13 to 17
 Research any efforts made by the private sector through planned interventions or CSR
(corporate social responsibility) activities to combat the threat of the appropriate
theme.
 Suggest measures to be adopted to counter the effects of the theme or prevent the
causes of the theme.
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Mathematics
(To be done in Maths note book)
1.
What is the difference between 3rd and 8th terms of the A.P, 3, 7, 11, 15 , …
Ans 20…
2.
Find the value of 11th term of the A.P., whose first two terms are –3 and 4. Ans. 67
3.
Find the nth term of the A.P. 5, 2, –1, –4, –7, ........Ans. 8─ 3n
4.
5.
How many d’s will be added to get 29th term of an A.P. to the first term? Ans. 28
Find the sum of first 32 terms of an A.P. whose third term is 1 and 6th term is –11.
Ans. -1696
6.
Find the value of a30 – a20 for an A.P. –9, –14, –19, –24,…. Ans. -50
7.
Determine k so that k + 2, 4k – 6 and 3k – 2 are the three consecutive terms of an A.P.
K=3
8.
In an A.P the 24th term is twice the 10th term.Prove that the 36th term is twice the 16th
term.
9.
If first term of an A.P. is 3 and 11th term is 43, find the common difference Ans. 4
10.
Find the A.P. if the 15th term is 10 more than the 13th term and first term is 5.
Ans.5,10,15
11.
12.
Find the sum of first 100 multiples of 5. Ans. 25250
1
2
3
Which term of the sequence 17, 16 , 15 , 14 ,…. is the first negative term?
5
5
5
Ans. 23
13.
Find the sum of the A.P. 1 +3 + 5 + 7 + .... + 199 Ans. 10,000
14.
The sum of first six terms of an A.P is 42 and the ratio of its 10th term and its 30th term
is 1:3. Calculate the first and the 18th term of the A.P. a=2, 36
1
1
If pth term of an AP is
and qth term of an AP is
, then find the sum of pqth term.
q
p
Ans. . ½( pq+1)
15.
16.
17.
The sum of n terms of a sequence is 3n2 + 4n. Find the nth term and show that the
sequence is A.P. Ans. 6n+1
If in an A.P. the sum of m terms is n and the sum of n terms is equal to the m, then
prove that the sum of (m+n) terms is – (m+n).
18.
The sum of third and seventh terms of an A.P. is 6 and their product is 8.Find the sum
of first sixteen terms of the A.P.
19.
An A.P. consists of 21 terms. The sum of the three terms in the middle is 129 and of
the last three is 237. Find the A.P. Ans. 3,7,11…
20.
The sum of 4 terms of an A.P. is 32. If the ratio of product of middle two terms to the
product of first and the last terms is 15:7 , then find the terms of the A.P.
Ans. 2,6,10,14 and 14,10,6,2
Q21. If the numbers n-2,4n-1 and 5n+2 are in A.P, find value of n. Ans. 1
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Q22. Find the value of the middle most term(s) of the AP: -15,-11,….,53.
Q23. If the 9th term of A.p is zero, prove that its 29th term is twice its 19th term.
Q24. In an A.P, If Sn = .n(4n+1), find the A.P Ans. 5,13,21….
Q25. Solve the equation: 1+4+7+10+….+ x = 287 Ans. X=40
Q26. In order to build a Night shelter home for homeless people, Ravi borrowed a sum of
Rs36000 from a bank and arranges to pay off a debt in 40 annual instalments forming
an AP. After paying 30 instalments, he finds that one third of the debt remains to be
paid. Find the value of the first instalment. What values are depicted by this act of
Ravi?
AnsRs 510
Q27 Find the value of m if the points (5,1), (-2,-3) and (8,2m) are collinear.Ans, 19/14
Q28. The centre of a circle is (2a,a-7). Find the value of a if the circle passes through the
point (11,-9) and has diameter 10√2 units.Ans, a=5,3
Q29. Find the coordinates of the points R on the line segment joining the pointsP( -1,3) and
3
Q(2,5) such that PR = 5PQ.Ans. (4/5,21/5)
Q30. Find the values of k if the points A( k+1,2k), B(3k,2k+3) and C(5k-1,5k) are
collinear.Ans 2,1/2
Q31. Find the centre of a circle passing through the points (6,-6), (3, 7) and (3, 3).
Q32. If the points (x,y) ,(-5,-2) and (3,-5) are collinear, then prove that 3x+8y+31 = 0.
Q33. Point P divides the line segment joining the points A(2,1) and B(5,-8) such that
AP:AB =1:3.If P lies on the line 2x-y+k=0,then find the value of k.
Q34. The line segment joining the points (3,-4) and (1,2) is trisected at the points P and Q. If
5
the co-ordinates of P and Q are (p,-2) and (3,q) respectively, find the values of p and q.
Q35. A (6, 1), B (8, 2), C (9, 4) are the three vertices of a parallelogram ABCD. If E is the
midpoint of DC, then find the area of ΔADE .
Q36. If arithmetic mean between 3a and 2a-7 is a+4 , then find a.
3𝑛2
Q37 In an AP , the sum of first n terms is
2
+
5𝑛
2
, Find it 25th term.
Q38. If the mth term of an A.P is 1/n and nth term is 1/m, Show that sum of mn term is
1
2
(mn+1).
Q39. Which term of the sequence -1, 3, 7, 11 …………. Is 95?
Q40. How many terms of the A.P
11
, 4,
3
13
3
….. must be added to obtain the sum 216?
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