MATHEMATICS
1. Find the distance between A(2,-2) and B(5,6). (1)
2.
ABC and BDE are two equilateral triangles such that D is the mid point
of BC. The ratio of the areas of
triangles ABC and BDE is
(a)
2 : 1 (b) 1 : 2
(c) 4 : 1 (d) 1
: 4 (1)
3. Find the value of x such that PQ = QR where
coordinates of P, Q and R
are (6 , - 1 )
, ( 1 , 3 ) and ( x , 8 ) respectively.
(2)
4. In △ABC, D and E are the points on the sides AB and AC
respectively,
such that DE II BC.
If AD = 4 , AE = 8 , DB = x – 4 and EC = 3x – 19, find x.
(2)
5.
Find the ratio in
which the line segment joining the
points ( 6 , 4 ) and
( 1 , - 7
) is divided by x-axis. (3)
6. A vertical stick 10 m. long casts a shadow 8
m. long. At the same time a
Tower casts a shadow 30 m. long. Determine the height of the tower.
(3)
7. If the
points A (x, y), B (a, 0), C (0, b) are collinear, prove 
(4)
8. In the adjoining figure, if DE
║ AC and DC ║ AP, prove that 
(4)
Social Science
Very short
questions- 1x4=4
1. What are placer deposits?
2. What are veins and lodes?
3. What are the two planks of sustainable energy?
4. What do you mean by the term collateral?
Short
questions-3x2=6
1. What do you understand by ‘Bhoodan’ and ‘Gramdan’?
2. Describe the cropping seasons in India?
Long
questions-5x2=10
1. What are the four main type of coal found in India?
Explain.
2. Why are poor households still dependent on informal
sources of credit? Explain.
ENGLISH
1.
‘ I hope the part calls for some dialogue?’ who
says this? Why does he/she ask this question?(3)
2.
The ice was here, the ice was there,
The ice was all around:
It cracked and growled, and roared and
howled,
Like noises in a swound!(1x6= 6)
(a)
What literary device is used in the first two
lines? What effect does it create?
(b)
Which word rhymes with ‘ around’?give its
meaning.
(c)
Identify the words that create sound effect.
What literary device do they exemplify?
(d)
What happened soon after this?
(e)
How is the extent of the spread of ice conveyed?
(f)
What atmosphere do these lines create?
3.
Describe the summer cottage,’fern Quarry’ and
its surroundings?(5)
4.
News
headlines:-
(a) IIM-I plans to open study centre in
uae.
Indore : the Indian institution of
management, indore(IIM-I)__________
__________ in partnership with a private
company.
(b)INDIA RESUMES ‘ POLITICAL DIPLOMACY’
WITH NEPAL.
Kathmandu ____________ with Nepal after a
gap of 15 years with a visit to the northern neighbour by a group of six young
parliamentarians.
(c) BANGLADESH SEEKS $1.8 BILLION POST
CYCLONE AID
Bangladesh ______ from the international
community.
Give suitable news headlines for each news
story:
(d) _____________
Srinagar: a moderate quake measuring 5.7 on the Richter scale hit
Jammu and Kashmir at 3.19pm on Monday.
(e)
Jaunpur : twelve passengers were injured when the bus they
were travelling in overturned in Newadhiya area on Tuesday
SCIENCE
- Rahul has been collecting copper coins and silver coins. One day he observed a green coating on copper coins and a black coating on silver coins. State the chemical phenomenon responsible for these coatings and also write chemical names of each coating. (2)
- Based on the group valency of elements, state the formula for the following giving justification for each:
(i)
Oxides of 1st group elements,
(ii)
Halides
of the elements of group 13, and
(iii)
Compounds
formed when an element of group 2 combines with an element of group 16 .(3)
3. (a) What is the criteria used in the development
of Modern Periodic Table?
(b) State the position of (i) metals, (ii)
non-metals and (iii) metalloids in the periodic table.
(c) Would you place two isotopes of
chlorine; Cl-35 and Cl-37 in different slots of the periodic table or in the
same slot of periodic table? Answer w.r.t part (a). (3)
4. Four elements P, Q, R, S has
the atomic no, 12, 13, 14, 15 respectively.
Answer the following questions
and give reasons:
(i)
What is the valency of Q?
(ii)
What is the increasing order of the atomic size?
(iii)
What is the increasing order of the metallic
character?
(iv)
Which element is most likely to be a non
metal? (4)
- Why sodium is stored in kerosene oil? Give chemical equation(s) to show your answer. (2)
- Name any one ore of mercury. How can it be extracted from the ore? Give equations in support of your answer. (3)
- Cu metal was immersed in a freshly prepared solution of FeSO4. Explain how the reaction will take place and give reason. (2)
- Name one metal and a non metal which is liquid at room temperature.
