Skip to main content

Guess Paper 8

Sample Paper 8 – 2009

Class – X
Subject – Mathematics

 

Section - A

1.              Define Euclid's division lemma.

2.              The graph of y = f(x) are given so me polynomial f(x). Find the zeros of f(x).

 

 


 

 

3.              Write AP when first term a and common difference d as; a = 10, d =

4.              From a pt. Q, the length of tangents to circle is 24 cm and distence Q from centre is 25 cm. Find radius of circle.

5.              The circumference of circle exceeds the diameter by 33.6 cm. Find radius.

6.              Find mean of all the factors of 20.

7.              Write the sample space when first die always show 6 If two dice are thrown simultaneously.

8.              Find the value of (1-sin2) sec2.

9.              State whether true or false. Justify your answer tan A is not defined for A = 300.

10.              Find the value of

Section - B

11.              Solve the eq. 3x2 - 5x + 2 = 0, by completing the eq. method.

12.              Prove (3, 3), (9, 0) and (12, 21) are vertices of right angled triangle.

13.              A card is drawn at random from a pack of 52 cards, find the probability that card drawn is (i) neither heart nor a king (ii) a black king.

14.              By completing the sq. method solve 3x2 + 7x + 4 = 0

15.              Verify 1, 4, 7 are zeroes of x3 - 12x2 + 39x - 28. Also verify the relationship between zeroes and coefficients.

OR

              Find all other zeroes of 3x4 + 6x3 - 2x2 - 10x - 5, If two of its zeroes are and

16.              Prove is irrational.

OR

              Find HCF of 117 and 65 & express it as a linear combination of 117 and 65.

17.              Determine the ratio in which line 2x - 3y + 7 = 0 divide the jaoin of (3, 4)& (7, 8)

18.              Solve graphically the system of linear eq. 2x + y = 8, x +1 = 2y. Also find the point, where the lines meet y-axis.

19.              Prove that

20.              Find the value of k, if (8,1), (l, -4) & (2, -5) are collinear.

21.              If sum of n terms of AP is 5n = 5n2 + 3n, find the nth term.

OR

              Find the sum of three digit numbers which leave remainder 2 when divided by 5.

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

23.              A circle touching BC of ABC at P and touching AB and AC produced at Q and R respectively. Prove AQ = (perimeter of ABC)

24.              In fig, o is centre of circle with radius 14 cm. find area of shaded region.

 

 

or

              A well of diameter 3 m is dug 14 m deep. Earth taken out of it has been spread evenly all around it in the slope of circularing of width 4m to form an embankment find height of embankment.

25.              XY || AC and XY divides triangular region ABC into two parts equal in area. Determine AX / AB.

 

 

 

26.              A metallic right circular cone 20 cm high and whose vertical angle is 600 is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained he drawn into a wine of diameter cm. Find length of wire.

or

              Water in a canal 30 dm wide and 12 dm deep is flowing with velocity of 10 km/hr. How much area will it irrigate in 30 minutes, If 8 cm of standing water is required for irrigation.

27.              Prove that in a right-angled triangle, the square of hypotenuse is equal to sum of sq. of other sides. By using the theorem, Determine the length of ladder If it is placed in such a way that its foot is at distance of 5 m from wall and its top touches a window 12 m above the ground.

28.              The following is the distributor of height of students

height in cm.              160-162              163-165              166-168              169-171              171-174

No. of student                 15                               118                                142                                127                                18

              find the mode of height of students.

29.              The angle of elevator of top of tower from a point on same level as foot of tower is . On advancing 'p' meters towards the foot of tower, the angle of elevation becomes .Show height 'h' of tower is given by

             

              Also determine height of tower if p = 150 m, =300 and = 600.

30.              Rs. 6500 were divided equally among a certoun no. of persons. Had there been 15 more persons, each would have got Rs. 30 less. find original no. of persons.

or

              The hypotenuse of a right angled traingle is one more than twice the shortest side. If the base of the triangle is one more then shortest side, Determine the length of three sides of triangle.

 

 



CBSE Sample Guess Paper 1
Labels:

Comments

Post a Comment

Popular posts from this blog

The Missing Mail | Class IX - Interact in English

NCERT / CBSE Literature Reader for English Course (Communicative) Important Exercise Questions Q.3: (a) Why is Ramanujam worried about getting his daughter married? Give four reasons. (b) How does the postman console and guide Ramanujam and his family during each of the instances you have listed in 3 (a)? Ans 3(a): Ramanujam is worried as he could not find a suitable match to marry his daughter off which was getting delayed because of different reasons. The four causes of his worriedness are - (i) Sometimes horoscopes did not match, (ii) Sometimes the girl’s appearance were not approved, (iii) At times there were problems of too much dowry and other financial matters, (iv) The season was closing with only three more auspicious dates left, whereas, he was not able to finalise any alliance by that time. Ans 3(b): First instance - When Ramanujam said that horoscopes did not agree Thanappa consoled and guided him by saying that he should not utter inauspicious words and when the God wills ...
Post a Comment
Read more

The Tribute - Multiple Choice Questions

Question (1):   What does the word 'petite' mean? 1. strong 2. small 3. neat 4. clean Ans:   2 Question (2):   What was almost a routine affair for Babuli during his student days? 1. working in the city 2. writing to his elder brother 3. going home in the rickety bus 4. reading big books Ans:   3 Question (3):   What was written in the elder brother's letter? 1. That they were missing him in the village 2. That there was to be a partition 3. That there was a festival 4. That he would get money Ans:   2 Question (4):   How many days were left for the partition? 1. A week 2. A month 3. A day 4. Three days Ans:   1 Question (5):   How much money was expected for Babuli's land? 1. Seven thousand 2. Twenty thousand 3. Ten thousand 4. Forty thousand Ans:   2 Question (6):   What makes Babuli think of the butcher? 1. Hunger 2. Wife's heartlessness 3. The i...
Post a Comment
Read more

ENGLISH (Communicative) Sample Question Paper 5

Sample Paper – 2009 Class – XSubject – ENGLISH (Communicative) General instructions: The paper consist of FOUR sections: SECTION A (READING) - 20 Marks SECTION B (WRITING) - 30 Marks SECTION C (GRAMMAR) - 20 Marks SECTION D (LITERATURE) - 30 Marks Attempt all the questions. Do not write anything on the question paper. All the answers must be correctly numbered as in the question paper. And written in the answer sheets provided to you. Attempt all questions in each section before going on to the next section. Read each question carefully and follow the instructions. Strictly adhere to the word limit given with each question. Marks will be deducted for exceeding the word limit. SECTION A (READING) – 20 MARKS A1. Read the following passage and answer the following questions: [12] THE TUITION TRAP 1. Given the general awareness of the woeful condition of our State sch...
1 comment
Read more