Wednesday, April 8, 2009


An iron pillar has lower part in the form of a right circular cylinder and the upperpart in the form of a right circular cone. The radius of the base of each of the cone and cylinder is 8 cm. The cylindrical part is 240 cm high and the conical part is 36 cm high. Find the weight of the pillar if 1cm3 of iron weighs 7.5 grams. (Take π=22/7 )
A container (open at the top) made up of a metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find
(i) the cost of milk when it is completely filled with milk at the rate of Rs 15 per litre.
(ii) the cost of metal sheet used, if it costs Rs 5 per 100 cm2
( Take π= 3.14)
Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Use the above theorem, in the following. If ABC is an equilateral triangle with AD perpendicular to BC, then AD 2 = 3 DC 2
Prove that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Use the above theorem, in the following. The areas of two similar triangles are 81 cm 2 and 144 cm 2. If the largest side of the smaller triangle is 27 cm, find the largest side of the larger triangle.
There are two poles, one each on either bank of a river, just opposite to each other. One pole is 60m high. From the top of this pole, the angles of depression of the top and the foot of the other pole are 30° and 60° respectively. Find the width of the river and the height of the other pole.
Solve the following system of linear equations graphically:
3x + y - 12 = 0
x - 3y + 6 = 0
Shade the region bounded by these lines and the x-axis. Also find the ratio of areas of triangles formed by given lines with x-axis and the y-axis.
Construct a triangle similar to given ABC in which AB = 4 cm, BC = 6 cm and ABC = 60°, such that each side of the new triangle is ¾ of given δABC.
In what ratio does the point P(2,-5) divide the line segment joining A(-3,5) and B(4,-9)?
For what value of ‘K’ the points A (1,5), B (K,1) and C (4,11) are collinear?
Prove that the points A(-3,0), B(1,-3) and C(4,1) are the vertices of an isoscles right triangle.
Find the sum of all three digit numbers which leave the remainder 3 when divided by 5.
Determine an A.P. whose 3rd term is 16 and when 5th term is subtracted from 7th term, we get 12.
For what value or ‘k’ will the following pair of linear equations have infinitely many solutions
kx + 3y = k-3
12x + ky = k
Prove that 5 + √2is irrational.
Find the zeroes of the quadratic polynomial x 2 + 5x + 6 and verify the relationship between the zeroes and the coefficients.
All cards of ace, jack and queen are removed from a deck of playing cards. One card is drawn at random from the remaining cards. find the probability that the card drawn is
a) a face card
b) not a face card
Find the values of x for which the distance between the point P (2,-3) and Q (x,5) is 10 units.
Express sin67°+ Cos75o in terms of trigonometric ratios of angles between 0° and 45°
From your pocket money, you save Rs.1 on day 1, Rs. 2 on day 2, Rs. 3 on day 3 and so on. How much money will you save in the month of March 2008 ?
The height of a tower is 10m. Calculate the height of its shadow when Sun’s altitude is 45°.
What is the distance between two parallel tangents of a circle of the radius 4 cm?
A bag contains 5 red and 4 black balls. A ball is drawn at random from the bag. What is the probability of getting a black ball?
Which measure of central tendency is given by the x-coordinate of the point of intersection of the ‘more than’ ogive and ‘less than’ ogive?
The length of tangent from a point A at a distance of 5 cm from the centre of the circle is 4 cm. What will be the radius of the circle?
What is the nature of roots of the quadratic equation 4x2 - 12x - 9 = 0?
Give an example of polynomials f(x), g(x), q(x), and r(x) satisfying f(x) = g(x) • q(x) + r(x) where deg r(x) = 0.
State the Fundamental Theorem of Arithmetic.
The interior of building is in the form of a right circular cylinder of radius 7m and height 6m, surmounted by a right circular cone of same radius and of vertical angle 60°. Find the cost of painting the building from inside at the rate of Rs 30/m 2
CBSE 2010 CLASS X MATHS sample paper guess paper model question important questions cbse board Central Board for Secondary Education
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  1. Attano offers free videos and premium study materials mapped to your school curriculum. Our interactive videos are a fun new way to understand concepts, solve homework problems and become a smarter student at school.

  2. Great! thanks for posting these sample questions. I also took an online self study review and it's really worth it. Also, I check sample test questions in the internet.


  3. Nice post. Parents are parents, not Gods. Of course they cannot have all the answers. The way you explain things to your kids should do all the work…it all comes under parenthood and your people skills.
    Cbse Entrancei



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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. 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.