SSLC - Maths Model Question Paper - 2014

SSLC MATHEMATICS PUBLIC IMPORTANT QUESTIONS

SECTION – I

I. CHOOSE THE CORRECT ANSWER:

1. If  S is the sample space of a random experiment, then P(S)=  

(A)   0  (B) 1/8  (C) ½  (D) 1

 

2. The probability that a student will score centum in mathematics is 4/5.  The                                probability that he will not score centum is

(A)   1/5  (B) 2/5  (C) 3/5  (D) 4/5

3. If A and B are two events such that

P(A)=0.25, P(B)=0.05 and P(A∩B)=0.14, then P(AUB)=

(A)   0.61  (B) 0.16  (C) 0.14  (D) 0.6

4. If A and B are mutually exclusive events and S is the sample space such that                P(A) = 1/3 P(B) and S = AUB, then P(A) =

                  (A) ¼   (B) ½  (C) ¾  (D) 3/8

      5.  If P(A) = 0.25, P(B) = 0.50, P(A + B) = 0.14 then P(neither A nor B) =

                  (A) 0.39  (B) 0.25 (C) 0.11 (D) 0.24

      6.  A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected

           at random, the probability that it is not red is

(A)   5/12  (B) 4/12  (C) 3/12  (D) ¾

      7. Probability of getting 3 heads or 3 tails in tossing a coin 3 times is

                   (A) 1/8  (B) ¼  (C) 3/8  (D) ½

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

 (A) 2/7  (B) 1/7  (C) 4/7  (D) 3/7

      9.  Probability of sure event is

                   (A) 1   (B) 0   (C) 100   (D) 0.1

    10.  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

    11.   For a collection of 11 items, ∑x = 132, then the arithmetic mean is

                   (A) 11   (B) 12   (C) 14   (D) 13

    12.   For any collection of n items,∑ (x - x) =

                   (A) ∑x   (B) x   (C) ∑x   (D) 0

    13.  If t is the standard deviation of x, y. z, then the standard deviation of

           x + 5, y + 5, z + 5 is

                  (A) t/3  (B) t + 5   (C) t   (D) x y z

    14.  If the standard deviation of a set of data is 1.6, then the variance is

                  (A) 0.4   (B) 2.56   (C) 1.96   (D) 0.04

    15.  Variance of the first 11 natural numbers is

                  (A) √5 (B) √10 (C) 5 √2 (D) 10  

    16.  The variance of 10, 10, 10, 10, 10 is

                  (A) 10   (B) √10   (C) 5   (D) 0

    17.   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) 32 √2   (D) 32

    18.   Mean and standard deviation of a data are 48 and 12 respectively.

            The coefficient of variation is

(A)   42 (B) 25 (C) 28 (D) 48

19.   The curved surface area of a right circular cylinder of radius 1 cm and

        Height 1 cm is equal to

     (A) ∏cm2   (B) 2∏ cm2   (C) 3∏ cm3   (D) 2 cm2 

20.   Base area of a right circular cylinder is 80 cm2 . If its height is 5 cm,

   then the volume is equal to

               (A) 400 cm3   (B) 16 cm3   (C) 200 cm3   (D)400/3cm3

21.   The curved surface area of a right circular cylinder whose radius is a units and

         height is b units, is equal to

               (A)∏ ab sq.cm 2 r   (B)2∏ab sq.cm   (C) 2∏sq.cm   (D) 2 sq.cm

22.    Radius and height of a right circular cone and that of a right circular

   Cylinder are respectively, equal. If the volume of the cylinder

   Is 120 cm3, then the volume of  cone is equal to

              (A) 1200 cm3   B) 360 cm3   (C) 40 cm3   (D) 90 cm3 

23.   If the circumference at the base of a right circular cone and the slant height are

       120r cm and 10 cm respectively,

        then the curved surface area of the cone is  equal to

(A)   1200∏ cm2   (B) 600∏cm2   (C) 300∏ cm2   (D) 600 cm2

24.   If the height and the base area of a right circular cone are 5 cm

  and 48 sq. cm respectively,

        then the volume of the cone is equal to

             (A) 240 cm3   (B) 120 cm3   (C) 80 cm3   (D) 480 cm3

25.  The ratios of the respective heights and the respective radii of

        two cylinders are    1:2 and 2:1 respectively. Then their respective volumes

        are in  the ratio

             (A) 4 : 1   (B) 1 : 4   (C) 2 : 1   (D) 1 : 2

26.   If the radius of a sphere is 2 cm , then the curved surface area of the

        sphere is equal to

             (A) 8∏ cm2   (B) 16 cm2   (C) 12∏ cm2   (D) 16∏ cm2 .

27.   If the volume of a sphere is 9/16∏ cu.cm, then its radius is

             (A) 4/3cm  (B) ¾ cm  (C) 3/2 cm  (D) 2/3

28.  The surface areas of two spheres are in the ratio of 9 : 25.

       Then their volumes are in the ratio

             (A) 81 : 625   (B) 729 : 15625   (C) 27 : 75   (D) 27 : 125

29.  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 .

30.  If the radius of a sphere is half of the radius of another sphere,

       then their   respective volumes are in the ratio

             (A) 1 : 8   (B) 2: 1   (C) 1 : 2   (D) 8 : 1

31.  Two right circular cones have equal radii. If their slant heights are in the ratio

       4 : 3, then their respective curved surface areas are in the ratio

             (A) 16 : 9   (B) 8 : 6   (C) 4 : 3   (D) 3 : 4 

32.   Page no.217. Sum no.2, 4, 8, 10, and 13,15,18,20

33.   If a straight line intersects the sides AB and AC of aΔ ABC at

        D and E respectively and is parallel to BC, then AE/AC

             (A) AD/DB (B) AD/AB (C) DE/BC (D) AD/EC

34.  Page no.194, Sum no. 2,4,6,9,12,14,15,18,20.

35.  Page no.168, Sum no. 2,5,7,8,10,11,1216,,18,23.

36.   Page no. 137, Sum no.4, 5, 7, and 8,10,11,131518,20.

37.   Page no. 114 and 115, Sum no. 3,4,6,7,9,10,11,13,14,19,21,25.

38.   Page no. 65 and 66, Sum no. 2,9,8,11,12,14,18,19.

39.   Page no. 30 and 31, Sum no. 4, 5,6,10,12,17,20.

CONTENTS                          SECTION – II- 2 MARKS   SECTION - III-5 MARKS

Sets and functions	Ex-1.1.sum no. 1,3.Ex-1.2.sum no. 3(IV,VI). Ex-1.3.sum no.2.Ex-1.4.sum no.2,Eg 1.22	Eg-1.20,Ex-1.4.sum no.14 Ex-1.3.sum no.9,7.Eg 1.12 Ex 1.2.sum no.9(iii,v), Eg 1.8, Eg 1.4.
Sequences and series of real numbers.	Eg 2.6, 2.8, Ex 2.2.sum no.1, 2, 4, 5. Eg 2.10. Ex 2.3.sum no.2,7.Ex 2.4.sum no.1,4.Eg 2.23(i),Ex 2.5.sum no.3,Eg 2.29(i),(ii),Eg 2.33(i),Ex 2.6.sum no.1(i,iii),5.	Ex-2.6.sum no. 2(i),4,Eg 2.32,Ex-2.5sum no.8,Eg 2.27,Eg 2.25,2.20,Ex-2.4sum no.10,12,Eg 2.14,Ex-2.2.sum no.14,18.
Algebra	Eg 3.12,Ex-3.3.sum no.1(iii,vii),sum no.2(vi,vii),Eg 3.14,Ex-3.4.sum no.6,Ex-3.6.sum no.1,2(i),Ex-3.7.sum no.1,3,6,Eg 3.25(i,iii),Ex-3.9.sum no.1,2,4,Eg 3.36(i),Ex-3.10.sum no.1(i,ii),Eg 3.28(i,ii),Ex-3.11.sum no.1,Eg 3.31(ii,iii),Eg 3.32(i,ii),Ex-3.12.sum no.1(v),Eg 3.48,3.49,3.50(iv,vi,i),Ex-3.18.sum no.2(iii).	Ex-3.18.sum no.10,12,Ex-3.13.sum no.2(iv)Eg 3.35,Ex-3.10.sum no.2(vii),Ex-3.5sum no.1(ix,x,vi),Eg 3.18.
Matrices	Eg 4.5,Ex-4.1.sum no.9,10,Eg 4.8,4.10,Ex-4.2.sum no.2,5,Ex-4.3.sum no.2(ii),Ex-4.2.sum no.3,4,Ex-4.3.sum no.3.	Ex-4.3.sum no.13, 10, Ex-4.2.sum no.10,5.
Coordinate Geometry	Eg 5.1,5.2,Ex-5.1.sum no.1(i),3,Eg 5.9,5.10,5.15,Ex-5.3.sum no.1(iii),2(iii),3(i),(iii),13,Eg 5.23,Ex-5.4.sum no.6(i),8(i),12(i),Eg 5.27,Ex-5.5.sum no.1(i,ii).	Ex-5.5.sum no.8, 10, Ex-5.3.sum no. 13, 14, Ex-5.5.sum no.14, Ex-5.1.sum no.13, 11, 9, 5.
Geometry	Eg 6.1,6..5,Ex-6.1.sum no.1(ii),2,3(ii),9(i),10(i),Ex-6.3.sum no.1,2(ii),3(ii),Eg 6.13,6.12,Ex-6.3.sum no.1.	Theorem 6.6, 6.8, 6.4, Eg 6.4.
Trigonometry	Eg 7.2, 7.1, Ex-7.1.sum no.1 (i),2(iii),Eg 7.15.	Eg 7.24, 7.22, 7.18, Ex-7.2.sum no.6, 10, 12. EX. 7.1 SUM NO 3(1) EG.7.2 7.5, 7.10
Mensuration	Eg. 8.1, 8.3, 8.11, 8.9, 8.6. Ex. 8.1.sum no.1, 7, 12,13,14,16, 18. Ex. 8.2 Sum no.1, 4, 5, 7,10,13,15. Ex.8.3 Sum.No.7, 8, 17.	Eg.8.16, 8.20, 8.18, 8.23, 8.25, 8.3Sum.no.4, 9, 13, 16. Ex. no 8.2 Sum no. 16.Ex. 8.1 Sum no. 19, 20.
Statistics	Eg. 11.2, 11.3, 11.11. Ex. 11.1.Sum.no. 1, 2, 3, 4, 5	Ex. No11.1. Sum no.11, 12, 20, 10. Eg. No.11.21, 11.20, 11.17, 11.12.
Probability	Eg.12.3, 12.4, 12.7, 12.15. Ex.12.1 Sum no.1, 4, 5, 7, 8, 13, 14. Ex.12.2 Sum no.1, 2.	Eg.12.18, 12.17, 12.6, 12.1, Ex.no.12.2 sum no.15, 9, 6, Ex. No 12.1 sum no 18, 16, 19

                                             SECTION IV

                                              10 MARKS

Practical geometry:  

Eg. 9.3, 9.5, 9.8, Ex. No 9.3.sum no.10, 7, Ex no.9.2.sum no.5, Ex no.9.1.sum no.5, 3.

Graphs:  Eg 10.4, 10.6, 10.8, ex no.10.1.sum no.6, Ex-10.2.sum no.6.