SSLC MODEL QUESTION PAPER-1 MATHEMATICS · SSLC MODEL QUESTION PAPER-1 MATHEMATICS Time Allowed :2.30 hrs Maximum Marks : 100 SECTION – I Note : (i) Answer all the 15 questions

SSLC MODEL QUESTION PAPER-1

MATHEMATICS Time Allowed :2.30 hrs Maximum Marks : 100

SECTION – I

Note : (i) Answer all the 15 questions. 15x1 = 15

(ii) Choose the correct answer from the given four alternatives and write the option code and

the corresponding answer.

1. If then

(a) 26 (b) 21 (c) 20 (d) – 20

2. The term of the sequence 1 , 1, 2 , 3 , 5 , 8 , , …… is

(a) 25 (b) 24 (c) 23 (d) 21

3. If the term of an A.P is , then the sum of the first n term is

(a)

(b) – (c)

(d)

4. If the system – – has a unique solution , then

(a) (b) (c) (d)

5. The square root of is

(a) (b) ( x + y ) ( x – y ) (c) (d)

6. If A is of order 3 x 4 and B is of order 4 x 3, then the order of BA is

(a) 3 x 3 (b) 4 x 4 (c) 4 x 3 (d) not defined

7. Area of the triangle formed by the points ( 0 , 0 ) , ( 2 , 0 ) and ( 0 , 2 ) is

(a) 1 Sq.units (b) 2 Sq.units (c) 4 Sq.units (d) 8 Sq.units

8. The point of intersection of the straight lines y = 0 and x =- 4 is

(a) ( 0 , – 4 ) (b) (– 4 , 0 ) (c) ( 0 , 4 ) (d) ( 4 , 0 )

9. The sides of two similar triangles are in the ratio 2:3, then their areas are in the ratio

(a) 9 : 4 (b) 4 : 9 (c) 2 : 3 (d) 3 : 2

10. In the figure, if PAB= then BPT=

(a) (b)

(c) (d)

11.

(a) (b) (c) (d)

12. =

(a) 1 (b) 0 (c) 9 (d) – 9

13. The total surface area of a solid hemisphere of diameter 2 cm is equal to

(a) 12cm2 (b) 12 cm

2 (c) 4 cm

2 (d) 3 cm

2

14. For any collection of n items, =

(a) (b) (c) (d) 0

15. If A and B are mutually exclusive events and S is the sample space such that P(A) =

P(B) and

S = A B, then P(A) =

(a)

(b)

(c)

(d)

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SECTION – II

Note : (i) Answer 10 questions. 10x2 = 20

(ii) Question number 30 is compulsory. Select any 9 question from the first 14 questions.

16. If A = { 4 , 6 , 7 , 8 , 9 } , B = { 2 , 4 , 6 } and C = { 1 , 2 , 3 , 4 , 5 , 6 } then find A∩( BUC )

17. Use Venn diagram to verify ( A ∩ B ) U ( A \ B ) = A

18. Find the sum of the first 75 positive integers

19. The sum of a number and its reciprocal is

. Find the number.

20. Determine the nature of roots of the quadratic equation,

21. If A =

, then find and

22. Find the product of the matrices

23. The centre of a circle is at ( - 6 , 4 ).if one end of a diameter of the circle is at the origin , then

find the other end.

24. Show that the straight lines x + 2y + 1 = 0 and 3x + 6y + 2 = 0 are parallel.

25. In PQR, AB QR. If AB is 3 cm, PB is 2cm and PR is 6 cm, then find the length of QR.

26. Find the angular elevation ( angle of elevation from the ground level ) of the Sun when the

length of the shadow of a 30 m long pole is m.

27. The total surface area of a solid right circular cylinder is 660 sq.cm. If its diameter of the base

is 14 cm, find the height and curved surface area of the cylinder

28. Find the standard deviation of the first 13 natural numbers.

29. A bag contains 6 white balls numbered from 1 to 6 and 4 red balls numbered from 7 to 10. A

ball is drawn at random. Find the probability of getting

( i ) an even-numbered ball ( ii ) a white ball.

30. (a) Prove the identity in Cosec 2 + Cos ec 2 = 7 + tan 2 Cot 2

OR

(b) The ratio between the base radius and the height of a solid right circular cylinder is 2 : 5.

If its curved surface area is

sq.cm, find the height and radius



SECTION – III


(ii) Question number 45 is compulsory. Select any 8 question from the 14 questions.

31. Let U = { -2 , -1 , 0 , 1 , 2 , 3 , …10 } , A = { -2 , 2 , 3 , 4 , 5 } and B = { 1 , 3 , 5 , 8 , 9 }.

Verify De Morgan’s laws of Complementation.

32. Let A = { 0 , 1 , 2 , 3 } and B = { 1 , 3 , 5 , 7 , 9 } be two sets. Let f : A→B be a function

given by . Represent this function as

i ) a set of ordered pairs ii ) a table iii ) an arrow diagram and iv ) a graph

33. Find the sum of all 3 digit natural numbers, which are divisible by 9.

34. Find the total area of 14 squares whose sides are 11 cm, 12 cm,… 24 cm respectively.

35. Factorize:x3― 5x

2― 2x + 24

36. If and are the roots of the equation form an equation whose roots are

and

37. If A =

then show that

38. In an isosceles PQR, PQ=PR. The base OR lies on the x-axis, P lies on the y-axis and

2x-3y+9 = 0 is the equation of PQ. Find the equation of the straight line along PR.

39. The vertices of a ABC are A ( -5 , 7 ) , B ( - 4 , -5 ) and C ( 4 , 5 ).Find the slopes of the

altitudes of the triangle.

40. The government plans to develop a new industrial

Zone in an unused portion of land in a city.

The shaded portion of the map shown on the

Right, indicates the area of the new industrial zone.

Find the area of the new industrial zone.

41. A vertical tree is broken by the wind. The top of the tree touches the ground and makes an

angle 30 0with it.If the top of the tree touches the ground 30 m away from its foot , then

find the actual height of the tree.

42. The radii of two circular ends of a frustum shaped bucket are 15 cm and 8 cm. If its depth is

63 cm , find the capacity of the bucket in liters



43. The following table shows the marks obtained by 48 students in a Quiz competition

in Mathematics. Calculate the standard deviation.

Data x 6 7 8 9 10 11 12

Frequency f 3 6 9 13 8 5 4

44. A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that it

will be a spade or a king.

45. (a) Solve the quadratic equation by completing the square.

OR

(b) Water in a cylindrical tank of diameter 4 m and height 10 m is released through a to

cylindrical pipe of diameter 10 cm at the rate of 2.5 Km/hr. How much time will it

take empty the half of the tank? Assume that the tank is full of water to begin with.

SECTION – IV

Note : Answer both questions choosing either of the alternatives. 10x2 = 20

46. (a) Draw a circle of radius 3 cm. From an external point 7 cm away from its centre ,

construct the pair of tangents to the circle and measure their lengths.

OR

(b) Construct a cyclic quadrilateral ABCD with AB = 7 cm, , AD = 4.5 cm and

BC = 5 cm.

47. (a) Draw the graph of and hence solve

OR

(b) Draw the Graph of xy = 20, x, y > 0. Use the graph to find y when x = 5, and to find x

when y = 10.

-o0o-

Prepared by,

L.SURESH (PG Teacher)

Kamalammal Matric Hr.Sec.School,

Thanipadi-606708,

Tiruvannamalai District

Cell No : 9444333734



MODEL QUESTION PAPER-2


SECTION – I Note : (i) Answer all the 15 questions. 15x1 = 15



1. If n [ P ( A ) ] = 64 , then n(A) is

(a) 6 (b) 8 (c) 4 (d) 5

2. If then is equal to

(a) (b) (c)

(d)

3. If a , b , c , l , m are in A.P., then form

(a) a G.P (b) an A.P (c) a constant sequence (d) neither A.P nor G.P

4. The system of equations – –

(a) has infinitely many solutions (b) has no solution

(c) has a unique solution (d) may or may not have a solution

5. The remainder when is divided by is

(a) 28 (b) 29 (c) 30 (d) 31

6. If = ( 20 ) , then the value of x is

(a) 7 (b) - 7 (c)

(d) 0

7. The value of k if the straight lines 3x + 6y + 7 = 0 and 2x + ky= 5 are perpendicular is

(a) 1 (b) - 1 (c) 2 (d)

8. The midpoint of the line joining ( a , - b ) , ( 3a , 5b )

(a) ( - a , 2b ) (b) ( 2a , 4b ) (c) ( 2a , 2b ) (d) ( - a , - 3b )

9. The perimeter of two similar triangles ABC and DEF are 36 cm and 24 cm respectively. If

DE = 10 cm, then AB is

(a) 12 cm (b) 20 cm (c) 15 cm (d) 18 cm

10. The perimeters of two similar triangles are 24 cm and 18 cm respectively. If one side of the

first triangle is 8 cm, then the corresponding side of the other triangle is

(a) 4 cm (b) 3 cm (c) 9 cm (d) 6 cm

11. + 1 =

(a) 1 (b) - 1 (c) 2 (d) 0

12. In the adjoining figure Sin

.Then BC =

(a) 85 m (b) 65 m

(c) 95 m (d) 75 m

13. If the surface area of a sphere is 100 cm2, then its radius is equal to

(a) 25 cm (b) 100 cm (c) 5 cm (d) 10 cm

14. The least value in a collection of data is 14.1. The range of the collection is 28.4.Then the

greatest value of the collection is

(a) 42.5 (b) 43.5 (c) 42.4 (d) 42.1

15. The probability that a leap year will have 53 Fridays or 53 Saturdays is

(a)

(b)

(c)

(d)



SECTION – II



16. Given A = { a , x , y , r , s } , B = { 1 , 3 , 5 , 7 , -10 } verify the commutative property of set

union.

17. If R = { ( a , 2 ) ,( 5 , b ) ,( 8 , c ) , ( d , 1 ) } represents the identify function, find the

values of a , b , c and d.

18. If 9th term of an AP is zero, prove that its 29

th term is double ( twice ) the 19

thterm.

19. Find the quotient and remainder using synthetic division (3x3― 2x

2+ 7x― 5) (x + 3)

20. Simplify

21. A matrix consists of 30 elements. What are the possible orders it can have?

22. If A =

and B =

find 6A – 3B

23. If the area of the ABC is 68 sq.units and the vertices are A(6,7), B(-4,1) and C(a,-9) taken in

order, then find the value of a.

24. In the figure,, DE BC and

=

, calculate the value of

25. If x = and y = atan , then prove that

26. A girl of height 150 cm stands in front of a lamp – post and casts a shadow of length 150

cm on the ground. Find the angle of elevation of the top of the lamp – post.

27. The total surface area of a solid right circular cylinder is 1540 cm2. If the height is four times

the radius of the base , then find the height of the cylinder.

28. Find the range and the coefficient of range of 43 , 24 , 38 , 56 , 22 , 39 , 45.

29. In tossing a fair coin twice, find the probability of getting

( i ) two heads ( ii ) atleast one head

30. (a) Find the equation of the straight line parallel to the line x – 8y + 13 = 0 and passing

through the points ( 2 , 5 )

OR

(b) If the curved surface area of a solid hemisphere is 2772 sq.cm, then find its total surface

area.



SECTION – III



31. In a college, 60 students enrolled in chemistry, 40 in physics, 30 in biology, 15 in chemistry

and Physics, 10 in physics and biology, 5 in biology and chemistry. No one enrolled in all the

three. Find how many are enrolled in at least one of the subjects.

32. A function →R is d fi d s follows

= –

–

Find, ) iv)

33. Th sum of hr o s u iv rms i A.P is 6 d h ir produ is ―120. Fi d h hr

terms

34. Solve using elimination method

35. If

,

then find

–

36. The speed of a boat in still water is 15 km/hr. It goes 30 km upstream and return downstream

to the original point in 4 hrs 30 minutes. Find the speed of the stream

37. Find X and Y if 2X + 3Y =

and 3X + 2Y =

38. Find the equation of the straight line passing through the point of intersection of the lines

2x + y – 3 = 0 and 5x + y – 6 = 0 and parallel to the line joining the points ( 1 , 2 ) and ( 2 , 1 )

39. Find the equation of the line passing through (22,-6) and having intercept on x-axis exceeds

the intercept on y-axis by 5.

40. State and prove Basic proportionality theorem

41. A person in an helicopter flying at a height of 700 m, observes two objects lying opposite to

each other on either bank of a river. The angles of depression of the objects are 30 0

and 45 0

.

Find the width of the river. (use = 1.732)

42. Using clay, a student made a right circular cone of height 48 cm and base radius 12 cm.

Another student reshapes it in the form of a sphere. Find the radius of the sphere.

43. Two dice are rolled simultaneously. Find the probability that the sum of the numbers on the

faces is neither divisible by 3 nor by 4.



44. The probability that a new car will get an award for its design is 0.25, the probability that it

will get an award for efficient use of fuel is 0.35 and the probability that it will get both the

awards is 0.15. Find the probability that

( i ) it will get atleast one of the two awards ( ii ) it will get only one of the awards.

45. (a) If , , , d r i g om ri s qu , h prov h , ( ― )2 + ( ― )

2 + (d ― )

2 =

( ― d)2

OR

(b) A cuboid shaped slab of iron whose dimensions are 55 cm x 40 cm x 15 cm is melted

and recast into a pipe. The outer diameter and thickness of the pipe are 8 cm and 1 cm

respectively. Find the length of the pipe.

SECTION – IV


46. (a) Draw the two tangents from a point which is 10 cm away from the centre of a circle of

radius 6 cm.

OR

(b) Construct a cyclic quadrilateral ABCD, where AB = 6.5 cm, BC = 5.5 cm

and A

47. (a) Draw the graph of and hence find the roots of

OR

(b) A bank gives 10% S.I on deposits for senior citizens. Draw the graph for the relation

between the sum deposited and the interest earned for one year. Hence find

( i ) the interest on the deposit of `650

( ii ) the amount to be deposited to earn an interest of`45.

-o0o-

Prepared by,



Thanipadi-606708,


Cell No : 9444333734







SECTION – I




1. If represents an identity function , then is

(a) ( 2 , 4 ) (b) ( 4 , 2 ) (c) ( 2 , 2 ) (d) ( 4 , 4 )

2. If are in A.P , then the value of – is

(a) 1 (b) 2 (c) 3 (d) 0

3. If are in A.P. such that

then the term of the A.P is

(a)

(b) 0 (c) 12 (d) 14

4. If has equal roots , then c is equal to

(a)

(b)

(c)

(d)

5. Let , then the equation has equal roots , if

(a) a = c (b) a = - c (c) a = 2c (d) a = -2c

6. If A =

then is

(a)

(b)

(c)

(d)

7. The centroid of the triangle with vertices at ( - 2 , - 5 ) , ( - 2 , 12 ) and ( 10 , - 1 ) is

(a) ( 6 , 6 ) (b) ( 4 , 4 ) (c) ( 3 , 3 ) (d) ( 2 , 2 )

8. The equation of a straight line having slope 3 and y-intercept - 4 is

(a) 3x – y – 4 = 0 (b) 3x + y – 4 = 0 (c) 3x – y + 4 = 0 (d) 3x + y + 4 = 0

9. In ABC , DE is to BC , meeting AB and AC at D and E. If AD = 3 cm , DB = 2 cm and AE

= 2.7 cm then AC is equal to

(a) 6.5 cm (b) 4.5 cm (c) 3.5 cm (d) 5.5 cm

10. AB and CD are two chords of a circle which when produced to meet at a pointP such that AB

= 5, AP = 8, and CD = 2 then PD =

(a) 12 cm (b) 5 cm (c) 6 cm (d) 4 cm

11. If =

, then the value of

=

(a) Cos (b) Sin (c) Cosec (d) Sec

12.

(a) (b) 0 (c) 1 (d)

13. If the surface area of a sphere is 36 cm2 then the volume of the sphere is equal to

(a) 12 cm3 (b) 36 cm

3 (c) 72 cm

3 (d) 108 cm

3

14. If t is the standard deviation of x, y, z, then the standard deviation of x+ 5, y + 5, z + 5 is

(a)

(b) t + 5 (c) t (d) xyz

15. A fair die is thrown once. The probability of getting a prime or composite number is

(a) 1 (b) 0 (c)

(d)



SECTION – II



16. Let = x if x 0 where x ℝ. Does the relation { (x,y) | y = , x ℝ } define a

-x if x<0 , function? Find its range.

17. The following table represents a function from A = { 5 , 6 , 8 , 10 } to B = { 19 , 15 , 9 , 11 }

where – . Find the value of a and b.

18. Three numbers are in the ratio 2 : 5 : 7. If the first number, the resulting number on the

subtraction of 7 from the second number and the third number form an A.P, then find the

numbers.

19. Solve : +

=

20. Form a quadratic equation whose roots are ,

21. Construct a 2 x 3 matrix A = whose elements are given by

22. Let A =

and B =

.Find the matrix C = 2A + B

23. If the points ( a , 1 ) , ( 1 , 2 ) and ( 0 , b + 1 ) are collinear , then show that

24. If the centroid of a triangle is at ( 1 , 3 ) and two of its vertices are ( - 7 , 6 ) and ( 8 , 5 ) then

find third vertex of the triangle.

25. In the figure TP is a tangent to a circle. A and B are two points on the circle. If BTP =

and ATB = find ABT.

26. Prove the identity

27. If Sin , Cos and tan are in G.P , then prove that = 1

28. The volume of a solid right circular cone is 4928 cu. cm. If its height is 24 cm, then find the

radius of the cone

29. A die is thrown twice. Find the probability of getting a total of 9.

30. (a) Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume.

OR

(b) If the coefficient of variation of a collection of data is 57 and its S.D is 6.84, then find

the mean.

x 5 6 8 10

f(x) a 11 b 19



SECTION – III



31. U V d agram v r fy D M rga ’ law f r d ff r . A\(B∩ ) = (A\B) U (A\C)

32. A fu f: [ , ) →R d f d a f ll w

1+x , ≤ x <

= 2x – 1 , ≤ x < 4

3x2 – 0 , 4 ≤ x <

Find the value of

– –

33. Find the sum of the first 2n terms of the following series. 12 ―

2 + 3

2 ― 4

2 +…

34. The fifth term of a G.P is 1875. If the first term is 3, find the common ratio.

35. Simplify :

36. If and are the roots of the equation then form a quadratic equation

whose roots

and

37. If A =

and B =

verify that

38. Find the area of the quadrilateral whose vertices are ( 6 , 9 ) , ( 7 , 4 ) , ( 4 , 2 ) and ( 3 , 7 )

39. Find the equation of the straight lines each passing through the point ( 2 , 2 ) and whose sum

of the intercepts is 9

40. A point O in the interior of a rectangle ABCD is joined to each of the vertices A, B, C and D.

Prove that

41. If a m a a d m w a m 4 m

42. A vessel is in the form of a frustum of a cone. Its radius at one end and the height are 8 cm

and 14 cm respectively. If its volume is

cm

3, then find the radius at the other end.



43. Prove that the standard deviation of the first n natural numbers is

44. Two unbiased dice are rolled once. Find the probability of getting

( i ) a sum 8 ( ii ) a doublet ( iii ) a sum greater than 8.

45. (a) Find the GCD of the polynomials x4+3x

3 ―x―3 a d x

3 +x

2―5x+3

OR

(b) A circus tent is to be erected in the form of a cone surmounted on a cylinder. The total

height of the tent is 49 m. Diameter of the base is 42 m and height of the cylinder is 21 m.

Find the cost of canvas needed to make the tent, if the cost of canvas is Rs.12.50 / m 2

SECTION – IV


46. (a) Take a point which is 9 cm away from a circle of radius 3 cm , and draw the two tangents

to the circle from that point.

OR

(b) Construct a cyclic quadrilateral ABCD such that AB = 5.5 cm,

and

47. (a) Draw gra f and hence solve

OR

(b) The cost of the milk per litre is `15. Draw the graph for the relation between the quantity

and cost . Hence find

(i) the proportionality constant.

(ii) the cost of 3 litres of milk.

-o0o-

Prepared by,



Thanipadi-606708,


Cell No : 9444333734







SECTION – I




1. If , then A B is

(a) B (b) A\B (c) A (d) B\A

2. The common ratio of the G.P. is

(a) (b) (c) (d)

3. The next term of

in the sequence

is

(a)

(b)

(c)

(d)

4. If has no real roots , then

(a)

(b)

(c)

(d)

5. The sum of two zeros of the polynomial is zero , then the

value of p is

(a) 3 (b) 4 (c) - 3 (d) – 4

6. If a matrix is of order 2 x 3,then the number of elements in the matrix is

(a) 5 (b) 6 (c) 2 (d) 3

7. The equation of a straight line parallel to y-axis and passing through the point ( - 2 , 5 ) is

(a) x – 2 = 0 (b) x + 2 = 0 (c) y + 5 = 0 (d) y – 5 = 0

8. The angle of inclination of a straight line parallel to x - axis is equal to

(a) (b) (c) (d)

9. If the tangents PA and PB from an external point P to circle with centre O are inclined to each

other at an angle of , then POA =

(a) (b) (c) (d)

10. ABC is a right angled triangle where B = and BD AC. If BD = 8 cm, AD = 4 cm, the

CD is

(a) 24 cm (b) 16 cm (c) 32 cm (d) 8 cm

11. If , then the value of

(a) 1 (b) - 1 (c) (d)

12.

+

=

(a) tan (b) 1 (c) - 1 (d) Sin

13. Curved surface area of solid sphere is 24 cm2. If the sphere is divided into two hemispheres,

then the total surface area of one of the hemispheres is

(a)12cm2 (b) 8cm

2 (c) 16cm

2 (d) 18cm

2

14. If the variance of 14, 18, 22, 26, 30 is 32, then the variance of 28, 36,44,52,60 is

(a) 64 (b) 128 (c) (d) 32

15. Probability of sure event is

(a) 1 (b) 0 (c) 100 (d) 0.1



SECTION – II



16. If A B, then find A∩B and A\B ( Use Venn diagram )

17. A = { -2 , -1 , 1 , 2 } and f = {

}. Write down the range of f. Is f a function

from A to A ?

18. How many two digits numbers are divisible by 13 ?

19. Find a quadratic polynomial if the sum and product of zeros of it are –4 and 3 respectively.

20. Simplify :

21. Prove that A =

and B =

are inverse to each other under matrix

multiplication.

22. Solve for x and y if

23. Find the centroid of the triangle whose vertices are A ( 4 , - 6 ) , B ( 3 , - 2 ) and C ( 5 , 2 )

24. Find the equation of the straight line passing through the points ( -1 , 1 ) and (2, -4)

25. If all sides of a parallelogram touch a circle, show that the parallelogram is a rhombus.

26. A ramp for unloading a moving truck , has an angle of elevation if .If the top of the ramp

is 0.9 m above the ground level , then find the length of the ramp.

27. A cone, a hemisphere and cylinder have equal bases. If the heights of the cone and a cylinder

are equal and are same as the common radius, then find the ratio of their respective volumes.

28. The standard deviation of 20 observations is . If each observation is multiplied by 2, find

the standard deviation and variance of the resulting observations.

29. Three dice are thrown simultaneously. Find the probability of getting the same number on all

the three dice.

30. (a) Prove the identity e e tan t

OR

(b) Volume of a hollow sphere is

cm

3. If the outer radius is 8 cm, find the inner

radius of the Sphere



SECTION – III



31. In a group of students, 65 play foot ball, 45 play hockey, 42 play cricket, 20 play foot ball and

hockey, 25 play foot ball and cricket, 15 play hockey and cricket and 8 play all the three

games. Find the number of students in the group.

32. Let A ={ 6 , 9 , 15 , 18 , 21 } , B ={ 1 , 2 , 4 , 5 , 6 } and f: A→B be defined by

,

Represent f by, i) an arrow diagram ii) a set of ordered pairs and iii) a table iv) a graph

33. A TV manufacturer has produced 1000 TVs in the 7th

year and 1450 TVs in the 10th

year.

Assuming that the production increases uniformly by a fixed number every year. Find the no

of TVs produced in the first year and in the 15th

year.

34. Find the sum to n terms of the series 7 + 77 + 777 + …

35. If is a perfect square , then find the value of m and n

36. If and are the roots of the equation then find the values of

i )

ii ) iii )

37. If the equation has equal roots , then prove that

38. If A =

and

, then show that

39. Using the concept of slope show that the points ( - 2 , - 1 ) , ( 4 , 0 ) , ( 3 , 3 ) and ( - 3 , 2 )

taken in order form a parallelogram.

40. A boy is designing a diamond shaped kite, as shown in the figure where

AE = 16cm, EC = 81cm. He wants to use a straight cross bar BD.

How long should it be?

41. From the top and foot of a 40 m high tower, the angles of elevation of the top of a lighthouse

are found to be and respectively. Find the height of the lighthouse. Also find the

distance of the top of the lighthouse from the foot of the tower.

42. A container with a rectangular base of length 4.4 m and breadth 2 m is used to collect rain

water. The height of the water level in the container is 4 cm and the water is transferred into a

cylindrical vessel with radius 40 cm. What will be the height of the water level in the

cylinder?



43. Given then find

44. If a die is rolled twice, find the probability of getting an even number in the first time or a

total of 8

45. (a) The vertices of ABC are A ( - 4 , 4 ) , B ( 8 , 4 ) and C ( 8 , 10 ).Find the equation of

the straight line along the median from the vertex A.

OR

(b) The radius and height of a right circular cone are in the ratio 2 :3. Find the slant height if

its volume is 100.48 cu.cm. ( Take = 3.14)

SECTION – IV


46. (a) Draw a circle of diameter 10 cm. From a point P, 13 cm away from its centre, draw

the two tangents PA and PB to the circle , and measure their lengths.

OR

(b) Construct a cyclic quadrilateral PQRS with PQ = 4 cm , , and

47. (a) a the a h f and hence find the roots of

OR

(b)

Draw graph for the data given in the table. Hence find the number of days taken by

12workers to complete the work.

-o0o-

Prepared by,



Thanipadi-606708,


Cell No : 9444333734

No.of workers

x 3 4 6 8 9 16

No.of days

y 96 72 48 36 32 18



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SSLC MODEL QUESTION PAPER-1 MATHEMATICS · SSLC MODEL QUESTION PAPER-1 MATHEMATICS Time Allowed :2.30 hrs Maximum Marks : 100 SECTION – I Note : (i) Answer all the 15 questions