Maths Paper I Matriculation Model Question Paper SSLC / Tenth / 10th Std : www.dge.tn.gov.in

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Document Described : Maths Paper I Question Paper, Tamil Nadu Question Paper

MATRICULATION – STANDARD X
MATHEMATICS – PAPER – I
Time : 2 Hr. 30 Min Max. Marks : 100

Part – I :
Note : i) This Part contains two sections – Section A and Section B
ii) Section A .contain Multiple Choice Questions. Answer all the 20 questions. Each question
carries 1 mark.
iii) Section B contains 15 questions. Answer any 10 questions. Each question carries 2 marks.

Section – A :
I Choose the correct answer from the given alternatives : [20 x 1 = 20]
1. The general term of a G.P is
a ( 1 – rn )
a) ------------- b) ar n – 1 c) a + ( n – 1) d d) arn 1 – r

http://dge.tn.gov.in/schoolsyllabus/
http://dge.tn.gov.in/matricsyllabus/...t/Qmatmat1.pdf

2. The ratio of sum of n terms of an A.P. to the sum of m terms is 256: 441 then the ratio of the mth term to the nth term is
a) 31: 41 b) 16 : 21 c) 21 : 16 d) 41 : 31
3. 1,1,1,1 … is __________.
a) A.P. only b) G.P. only c) A.P. & G.P. d) Neither A.P nor G.P.
4. The sum of the squares of all the elements in the set A = {x / x €N, x is even and 2 < x = 10 } is
a) 216 b) 220 c) 465 d) 11220
5. The relation between the volume ‘V’ of a sphere of radius ‘ r ’ and its surface area ‘ S ’ is
2 1 4
a) V = ---- r S b) V = ---- r S c) V = ---- r S d) V = 4 S
3 3 3
6. The ratio of the volumes of three solids namely cylinder, cone and hemisphere having equal base area and height is
a) 1 : 3 : 2 a) 3 : 1 : 2 a) 2 : 3 : 1 a) 1 : 2 : 3
7. A solid frustum of radius ‘ R ‘ and ‘ r ‘ such that R > r is kept inside a hollow cylinder radius ‘R’ .Both cylinder and frustum, have same height ‘h’ .If water is filled in it. What is the volume of water needed?
1 1
a) ---- ? h ( r2 + R r + R2 ) b) ---- ? h ( R2 + R r ) c) (2 R2 – Rr – r2) d) ? R2 h
9. X – gene in a plant is responsible for red flowers and Y – gene for white flowers. If both are present , then the flowers produced are pink .If 20 plants have X-gene, 20 plants have Y-gene and there are 30 plants in all, then the total number of plants producing pink flowers are
a) 13 b) 10 c) 20 d) 30
10. If A and B are any two sets, then A n B’ =
a) A + B b) A – B c) A U B d) A n B
11. Which of the following is incorrect ?
a) set of all real numbers is not a subset of rational numbers
b) set of all irrational and rational numbers are overlapping
c) N – Z = f d) f o g = g o f when f (x) = x2,g(x) = v x
12. A comet is heading for Jupiter with acceleration a = 50 kms -2 .The velocity of the comet at time ‘t’ is given by f( t) = at2 – at + 1.Then the velocity at time t = 5 second is
a) 900 kms-1 a) 1001 kms-1 a) 2001 kms-1 a) 50 kms-1
13. The difference between C.I and S.I on Rs. 6000 for 2 years at 4% per annum is
a) Rs. 19.2 b) Rs. 9.6 c) Rs. 4.8 d) Rs. 12.4
14. Short term fixed deposits are accepted by the banks for a short period ranging from ____ to
a) 46 days. 1 year b) 46 days 2 years c) 40 days, 1 year d) 56 days,1 year
15. A recurring deposit of Rs. 50 per month at 10 % S.I per annum will fetch at the end of 2 years an interest of
a) Rs. 250 b) Rs.125 c) Rs. 375 d) Rs. 500
16. If the roots of 5bx2 – (5 + b) 2 x + (5 + b) 2 – 0 are 2, 2 find b
a) 4 b) 2 c) 5 d) 9
17. Which of the following is true?
a) degree of the quadratic equation ,is one
b) the solution of x2+x+5 € R
c) degree of HCF of 2 polynomials = degree of the product of the polynomials
d) degree of x2+2x2+1 is 2
18. The nature of the roots of x2+ax+bx+ab = 0 is
a) real, distinct and rational b) real, distinct and irrational c) not real d) real and equal

Section – B :24. Find the radius of the cylinder if the area of its curved surface is 352 cm2 and its height 16
cm.
25. Two cones have their height in the ration 5 : 3 and the radii of their bases in the ratio 2 : 1 find the ratio of their volumes.
26. How many litres of water will a hemispherical tank hold, whose diameter is 4.2 m?

II Answer any 10 questions : 10 x 2 = 20
21. Find the middle term of an A.P. 3, 5, 7…71.
30. Chezhian wants to invest Rs.10000 in a bank which pays 6 % interest per annum for 2 years
.He is not able to decide whether to invest in compound interest or simple interest kindly advise him.
31. Ebi deposits Rs.100 every month in a bank paying 8% p.a.S.I. on R.D. How much will she
pay at the end of 60 months ?

Section – E :
V Answer any 2 questions : 2 x 5 = 10
43. Through a pipe of diameter 14 cm water flows uniformly at the rate of 3 km per hour. How much water will flow through it in 10 minutes?
44. A hollow spherical shell has an inner radius of 8 cm.If the volume of the material is 1952 ?
------------ c.c, find the thickness of the shell.
45. A sector containing an angle of 90o is cut from a circle of radius 20 cm and folded into a
cone. Find the curved surface area of the cone.

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WHERE CAN I GET MODEL QUESTION PAPER FOR FRENCH

I could not find French question paper. Sorry

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WHERE DO I GET THE TAMIL MODEL QUESTION PAPER

Here is a Tamil model question paper.
http://dge.tn.gov.in/schoolsyllabus/.../class10Tt.pdf