Wednesday, April 8, 2009

CBSE X MATHS QUESTION SET 3 IMPORTANT GUESS PAPER

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CBSE MATHS SET 3 IMPORTANT GUESS PAPER FOR 2010
Clever Monkey`s CBSE X MATHS QUESTION 3-01
Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Using the above, solve the following:
A ladder reaches a window which is 12m above the ground on one side of the street.
Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 9m high. Find the width of the street if the length of the ladder is 15m.
Clever Monkey`s CBSE X MATHS QUESTION 3-02
The angle of elevation of the top a tower at a point on the level ground is 30°. After walking a distance of 100m towards the foot of the tower along the horizontal line through the foot of the tower on the same level ground , the angle of elevation of the top of the tower is 60°. Find the height of the tower.
Clever Monkey`s CBSE X MATHS QUESTION 3-03
From the top of a building 100 m high, the angles of depression of the top and bottom of a tower are observed to be 45° and 60° respectively. Find the height of the tower. Also find the distance between the foot of the building and bottom of the tower.
Clever Monkey`s CBSE X MATHS QUESTION 3-04
A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500km away in time, it had to increase the speed by 250 km/h from the usual speed. Find its usual speed.
Clever Monkey`s CBSE X MATHS QUESTION 3-05
Some students arranged a picnic. The budget for food was Rs 240. Because four students of the group failed to go, the cost of food to each student got increased by Rs 5. How many students went for the picnic?
Clever Monkey`s CBSE X MATHS QUESTION 3-05
An iron solid sphere of radius 3cm is melted and recast into small sperical balls of radius 1cm each. Assuming that there is no wastage in the process, find the number of small spherical balls made from the given sphere.
Clever Monkey`s CBSE X MATHS QUESTION 3-07
A square field and an equilateral triangular park have equal perimeters.If the cost of ploughing the field at rate of Rs 5/ m2 is Rs 720, find the cost of maintaining the park at the rate of Rs 10/m2.
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Clever Monkey`s CBSE X MATHS QUESTION 3-08
Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre of the circle.
Clever Monkey`s CBSE X MATHS QUESTION 3-09
Construct a δABC in which CA = 6cm, AB = 5cm and BAC = 45°, then construct a triangle similar to the given triangle whose sides are of the corresponding sides of the δABC.
Clever Monkey`s CBSE X MATHS QUESTION 3-10
Find the area of the quadrilateral whose vertices taken in order are A (-5,-3) B(-4, -6), C(2,-1) and D (1,2).
Clever Monkey`s CBSE X MATHS QUESTION 3-11
A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs 200 for Ist day, Rs. 250 for second day, Rs. 300 for third day and so on. If the contractor pays Rs 27750 as penalty, find the number of days for which the construction work is delayed.
Clever Monkey`s CBSE X MATHS QUESTION 3-12
Using Euclid’s division algorithm, find the HCF of 56, 96 and 404.
Clever Monkey`s CBSE X MATHS QUESTION 3-13
One card is drawn from a well shuffled deck of 52 playing cards. Find the probability of getting (i) a non-face card (ii) A black king or a red queen.
Clever Monkey`s CBSE X MATHS QUESTION 3-14
A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at random from the bag, find the probability of getting (i) a white ball or a green ball. (ii) neither a green ball not a red ball.
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Clever Monkey`s CBSE X MATHS QUESTION 3-15
Find a point on the y-axis which is equidistant from the points A(6,5) and B (-4,3).
Clever Monkey`s CBSE X MATHS QUESTION 3-16
Without drawing the graphs, state whether the following pair of linear equations will represent intersecting lines, coincident lines or parallel lines :
6x - 3y + 10 = 0
2x - y + 9 = 0
Justify your answer.
Clever Monkey`s CBSE X MATHS QUESTION 3-17
Cards each marked with one of the numbers 4,5,6....20 are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting an even prime number ?
Clever Monkey`s CBSE X MATHS QUESTION 3-18
A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio in their volumes?
Clever Monkey`s CBSE X MATHS QUESTION 3-19
Which term of the sequence 114, 109, 104 .... is the first negative term ?
Clever Monkey`s CBSE X MATHS QUESTION 3-20
For what value of k the quadratic equation x2 - kx + 4 = 0 has equal roots?
Clever Monkey`s CBSE X MATHS QUESTION 3-21
The sum and product of the zeroes of a quadratic polynomial are - ½ and -3 repectively. What is the quadratic polynomial?
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Clever Monkey`s CBSE X MATHS QUESTION 3-22
Write the condition to be satisfied by p/q so that a rational number has a terminating decimal expansion.
CBSEtenth.blogspot.com is mainly intended for 10 CBSE students. However, this can be used for Entrance exams like AIEEE. The CBSE questions are selected in such a way that if they are able to attend these questions, they will be confident of understanding the concepts. CBSE Stands for Central Board of Secondary Education,
By : Preeti Chennai
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History of CBSE

What is the meaning of CBSE:The Central Board of Secondary Education is an eminent board of school education in India. The CBSE prepares the syllabus for Class 9 to Class 12 in schools affiliated with it. It conducts two major examinations every year, the All India Secondary School Examination (AISSE) for Class 10 and the All India Senior School Certificate Examination (AISSCE) for Class 12, which is a school-leaving examination. Many private schools within and outside India are affiliated to CBSE. The medium for education prescribed by CBSE is either English or Hindi. The CBSE also conducts the All India Engineering Entrance Examination (AIEEE) which is a common entrance examination conducted on all-India basis for admission to engineering and architecture/planning programmes in the country. Similarly Pre-medical and Pre-dental Tests AIPMT (PMT/PDT) are conducted for medical and dental colleges. Syllabus and methodology of CBSE makes it much convenient for students to opt for pure sciences, medicines, engineerings and IIT. Most successful students of competitive examinations,IITJEE, KVPY, science olympiads, mathematics olympiads are nurtured at CBSE.
HISTORY OF CBSE:The "United Provinces Board of High School and Intermediate Education" was the first Board set up in 1921 with jurisdictions over Rajputana, Central India and Gwalior. The Government of India in 1929 suggested to set up a joint Board to expand the jurisdiction and renamed it the "Board of High School and Intermediate Education, Rajputana", which included Ajmer-Merwara. In 1952, as a result of the growth of State Universities and State Boards all over India, the constitution of Board was amended wherein its jurisdiction was extended to part-C and part-D territories and the Board was given its present name "Central Board of Secondary Education", it was in the year 1962 finally that the Board was reconstituted. There are a total of 10,011 schools in India, and outside India, affiliated to CBSE. As a result of the reconstruction, the Delhi Board of Secondary Education was merged with the Central Board and all the educational institutions recognised by the Delhi Board also became a part of the Central Board. The Board has grown from a group of 309 schools in 1962 to 10,011 schools as on date, which include 981 Kendriya Vidyalayas, 1381 Government Schools, 2486 Independent Schools, 355 Jawahar Navodaya Vidyalayas and 13 Adhoc Schools. There are also Indian schools in the Middle East and Southeast Asia that are affiliated to it.In most of countries Government of India employee's Children and Indian Embassy's children go to CBSE schools abroad generally called Indian Schools. In Japan Indian education under CBSE school has gained popularity. CBSE examinations for classes X and XII are conducted in the month of March and the first week of April. The results are declared in the last week of May mostly in 2-3 phases. These results can be seen on the official site. CBSE123.blogspot.com is mainly intended for 10 and 12 CBSE students. However, this can be used for Entrance exams like AIEEE. The CBSE questions are selected in such a way that if they are able to attend these questions, they will be confident of understanding the concepts. This site is purely an educational portal and here i am keeping CBSE sample papers and CBSE questions bank.CBSE Stands for Central Board of Secondary Education.