# CBSE 10th SA Sample Paper Mathematics

CBSE 10TH SA 2012

SAMPLE PAPER / MODEL TEST PAPER

SUBJECT – MATHEMATICS

Question number 1 to 10 contains1 mark each. For each of the questions 1- 10 four alternative choices have been given of which only one is correct. You have to select the correct choice

1. The sum of first seven multiples of 5 is :

(a) 35                                                                (b) 145                                                    (c) 140                                                        (d) 105

2. which of the following quadratic equations has the product of its roots as 3?

(a) 2x square -3x +6 = 0                        (b) x  square – 3x + 6 = 0     (c) Root 2x square – 3/root 2 x + 1 = 0        (d) 3x square – 3x +3 = 0

3. From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. Then the radius of the circle is :

(a) 12 cm                                                           (b) 10 cm                                              (c) 9 cm                                                     (d) 7 cm

4. Two concentric circles are of radii 5 cm. The length of the chord of the larger circle which touches the smaller circle is :

(a) 4 cm                                                               (b) 8 cm                                                   (c) 6 cm                                                  (d) 10

5. A hollow sphere of external and internal and internal diameters 8cm and 4 cm respectively, is melted into a cone of base radius 4 cm. Then height of the circular cone is :

(a) 15 cm                                                                (b) 10 cm                                                 (c) 14 cm                                             (d) 16 cm

6. A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. the probability that the drawn ball is red, is :

(a) 5/15                                                                      (b) 3/15                                                  (c) 7/15                                                 (d) 1/15

7. If the ratio of the circumferences of two circles is 3 : 1 , then the radio of their areas is :

(a) 1: 9                                                                        (b) 9 : 1                                                        (c) 3 : 1                                                    (d) 1 : 3

8. The volume of the largest right circular cone that can be cut our from a cube of edge 21cm is :

(a) 1155 cm cub                                                         (b) 577.5 cm square                        (d) 2425.5 cm cub                                                   (d) 2400 cm cub

9. If angle between two radii of a circle is 125 degree, the angle between the tangents at the ends of the radii is :

(a) 90 degree                                                                (b)  50 degree                                       (c) 55 degree                                         (d) 40 degree

10. IF  P (E) = 0.07, then the probability of ‘ not E’ is:

(a) 0                                                                                    (b) 1                                                     (c) 0.93                                                                             (d) 0.03

SECTION – B

11. A poorv throws two die once and computed the product of the numbers appearing on the dice. Peeehu throws one die and squares the number that appears on it. Who has the better chance of getting the number 36 ?

or

18 cards, numbered 1,2,3,………… , 18 are put in a box and mixed th0roughly. A card is drawn at random from the box. Find the probability that the card drawn bears :

(i) an even number                                                        (ii) a number divisible by 2 or 3.

12. Find the roots of the following quadratic equation z square – 11/4 z + 15/8 =0

13. Find the area of a ring shaped region enclosed between two concentric circles of radii 20 cm and 15 cm.

14. The seventh term of an A.P. is 34 and 15th term is 74. Determine its 40th term.

15. Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

16. The volume of a cylinder is 448 PI cm cub and height 7cm. Find its lateral surface area.

17. The center O of a circle has the coordinates (4, 5) and one point on the circumference is (8, 10). Find the coordinates of the other end of the diameter of the circle through this point.

18. Show that the point P (1, 2) lies on the line segment joining the points  A ( -2, 3 ) and B ( 7, 0)

SECTION-C

19.Prove that opposite sides of a quadrilateral circumscribing a circle  subtends supplementary angles at the center of the circle.

20. Draw a line  segment AB of  length 8 cm. Taking A as center, drawn a circle of radius 4 cm and taking B as centre, draw another another circle of radius 3 cm. Construct tangents to each circle from the center of the other circle.

21. Find the roots of the equation :

a/ax-1 + b/bx – 1 = – (a+b) ; x does not equal 1/a,  1/b

22.A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filed into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl ?

23. A man on the deck of a ship is 12 m above the water level. He observes that the angle of elevation of the top  of a cliff is 45 degree and the angle of depression of the base is 30 degree Calculate the distance of the cliff from the ship and the height of the cliff.

24. If A (1, 2), B (4, 3) and C (6,6) are the three vertices of a parallelogram ABCD , find the coordinates of the fourth vertex D.

25. Point P  divides the line segment joining the points A (2 ,1) and  (5 , 8), such that AP : AB = 1 : 3 If P lies on the line 2x – y + k = 0, find the value of k.

26. Cards bearing numbers 1, 3, 5,  ……35 are kept in a bag. A card is drawn at random from the bag . Find the probability of getting a card bearing :

(i) a prime number less than 15                      (ii) a number divisible by 3 and 5

27. Find the 31st tern of an A.P. whose 11th term is 38 and the 16th term is 73.

28. Let ABC be a right triangle in which AB  = 6 cm, BC = 8 cm and angle =90 degree . BD is the perpendicular from B on AC. The circle through B,C,D, is drawn. Construct the tangents from A to this circle.

SECTION -D

29. Find two consecutive odd positive integers sum of whose square is 970.

30. A train travelling at a uniform speed for 360 km/h would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.

31. Solve the equation :

– 4 + ( -1) + 2 + …..+ x = 437

32. A bucket is in the form of frustum of cone. Its depth is 24 cm and the diameters of the top and the bottom ends are 30 cm 10 cm respectively. Find the capacity of bucket.

33. In a right triangle ABC, right angled at B, a circle is drawn with AB as diameter intersecting the hypotenuse AC at P. Prove that the tangent to the circle at P bisects BC.

34. An aeroplane left 30minutes later than its schedule time, and in order to reach its destination 1500 km aways in time, it has to increase its speed by 250 km/h from its usual speed. Determine its usual speed.

SAMPLE PAPER / MODEL TEST PAPER

CBSE 10th SA Sample Paper Mathematics
Rate this post

# More Govt Jobs given below

### SSC Combined Graduate Level Exam Sample Paper

Staff Selection Commission

Subject – General English

Directions (1-10): In the following passage there are blanks, each of which has been numbered. These numbers are printed below the passage and against each four words are suggested, one of which fits the blank appropriately. Find out the appropriate word.

A two party (1) is must for a democratic country like (2) to achieve national objectives (3) as removal (4) unemployment,

### SSC CGL Exam Model Practice Paper

MODEL PRACTICE SET

Subject- General English

Combined Graduate level Examination SSC 2011

Directions (1-10): A passage is given below in which blanks have been numbered. Four alternative choices are given below against each number. In the context of the whole passage, select the best word in each case to fit each of the blanks to complete the passage correctly and meaningfully.

During the World War I penicillin was (1) on six patients.

### IBPS Clerk Exam Model Question Paper 2

SAMPLE PAPER

BANK PROBATIONARY OFFICER (BANK PO)

GENERAL KNOWLEDGE

1. Which country will introduce entrepreneur visa to encourage foreign nationals from India and elsewhere to catalyze the country’s economic recovery?

(a) US                                                         (b) Britain

(c) France                                                (d) Denmark

(e) None of these

2. Name the state whose chief minister has said that the Armed Forces Special Powers Act can be withdrawn from some areas with a rider that the Army can step in again if the situation so warrants.

### IBPS PO / Management Trainee Exam Model Question Paper 2

SAMPLE PAPER

Bank Probationary Officer ( Bank PO)

General Knowledge

1. Name the Karnataka minister who resigned in the wake of the Lokayukta police filing a first information report against him on irregularities related to allotment of land through the Karnataka Industrial Area Development Board (KIADB).

(a) Katta Subramanya Naidu              (b) N Santosh Hegde

(c) Jagmohan Reddy                           (d) Roshan Baig

(e) None of these

2.

### IBPS PO / Management Trainee Exam Model Question Paper 1

SAMPLE PAPER

NABARD Bank PO

General Knowledge

1. Which of the following is rated the poorest region of the world?

(a) The Middle East                           (b) Asia

(c) Sub-Saharan Africa                      (d) Latin America

(e) None of these

2. Which of the following terms is not used in the world of economics/finance?

(a) Sinking Fund                                 (b) Third World

(c) Open Door Policy                                     (d) Devaluation

(e) Privilege Motion

3.

1. Silla Sathyaraj says:

i want answers to this sample paper …please please mail me the answers for this…beg u ,…if possible now or at least tomorrow….i mean i need the answers for the sample paper in which the first question is ”the sum of first five multiples of 5 is”…please mail me the answers……..

2. Diya jabbar says:

3. riya abrol says:

4 + ( -1) + 2 + …..+ x = 437 32. A bucket is in the form of frustum of cone. Its depth is 24 cm and the diameters of the top and the bottom ends are 30 cm 10 cm respectively. Find the capacity of bucket. plz rply answer ………..

4. nilesh says:

5. ANJANA says:

FRM WHER COULD i GET answers??????????!!!!!!!!!!!!!!

6. HIRDESH says:

In a right triangle ABC, right angled at B, a circle is drawn with AB as diameter intersecting the hypotenuse AC at P. Prove that the tangent to the circle at P bisects Bc. Please let us how to solve this problem

7. Navneeta Shiwani says:

probability is a concept which numerically measures the degree of certainty of occurrence of events.

8. rajnish says:

Probability is a concept which numerically measures the degree of certainty of the occurrence of events

9. ravinder says:

what is probability

10. namrata says: