Thursday, April 9, 2009

CBSE MATHS SET 4 CLASS 10 QUESTIONS

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CBSE MATHS SET-4 CLASS 10 SAMPLE/GUESS PAPER 2010
Clever Monkey`s CBSE X MATHS QUESTION 4-01
For what value of k will the following system of linear equations have an infinite number of solutions : 2x + 3y = 2; (k + 2)x + (2k + 1)y = 2(k - 1) ? (Marks 2)
Clever Monkey`s CBSE X MATHS QUESTION 4-02
Find whether the number 6, 10, 14 and 22 are in proportional or not. If not what number be added to each number so that they become proportional ? (Marks 2)
Clever Monkey`s CBSE X MATHS QUESTION 4-03
Reduce the following relation expression into lowest form: (x4 - 10x2 + 9)/(x3 + 4x2 + 3x) (Marks 2)
Solve for x and y
ax + by = a - b - (i)
bx - ay = a + b - (ii) (Marks 2)
Clever Monkey`s CBSE X MATHS QUESTION 4-05
Find the value of k such that sum of the roots of the quadratic equation
3x2 + (2k + 1)x - (k + 5) = 0 is equal to the product of its roots. (Marks 2)
Adsense
Clever Monkey`s CBSE X MATHS QUESTION 4-06
Find two consecutive numbers, whose square have sum 85. (Marks 2)
Clever Monkey`s CBSE X MATHS QUESTION 4-07
Without using trignometric table, show that: tan 7o . tan 23o . tan 60o . tan 67o . tan 83o = 3 (Marks 2)
Clever Monkey`s CBSE X MATHS QUESTION 4-08
Show that (sinθ - 2sin3θ )/(2cos3 θ- cosθ ) = tanθ . (Marks 2)
Clever Monkey`s CBSE X MATHS QUESTION 4-09
Rita purchased a car, with a market price of Rs. 2,10,000 at a discount of 5%. If the sales tax charged at 10%, find the amount Rita had to pay for purchasing the car. (Marks 2)
Clever Monkey`s CBSE X MATHS QUESTION 4-10
The mean weight of 21 students of a class is 52 kg. If the mean weight of first 11 students of the class is 50 kg and that of last 11 students is 54 kg, find the weight of the 11th student. (Marks 2)
Adsense
Clever Monkey`s CBSE X MATHS QUESTION 4-11
The following data has been arranged in ascending order: 12, 14, 17, 21, x, 26, 28, 32, 36. If the median of the data is 23, find x. If 32 is changed to 23, find the new median. (Marks 2)
Clever Monkey`s CBSE X MATHS QUESTION 4-12
For what value of x, in the mode of the following data 5 ? 2, 4, 3, 5, 4, 5, 6, 4, x, 7, 5. (Marks 2)
Clever Monkey`s CBSE X MATHS QUESTION 4-13
Determine graphically the co-ordinates of the vertices of the triangle, the equation of whose sides are: y = x, 3y = x, x + y = 8. (Marks 4)
Clever Monkey`s CBSE X MATHS QUESTION 4-14
A part of monthly hostel charges in a college are fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days, he has to pay Rs. 1000 as hostel charges where as a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charge and the cost of food per day. (Marks 4)
Find the value of a and b so that the polynomials p(x) and q(x) have (x + 1)(x - 2) as their HCF.
p(x) = (x2 + 3x + 2)(x2 + x + a)
q(x) = (x2 - 3x + 2)(x2 - 3x + b) (Marks 4)
Adsense
Clever Monkey`s CBSE X MATHS QUESTION 4-16
The annual income of Seema (excluding HRA) is Rs. 1,60,000. She contributes Rs. 5000 per month to her provident fund and pays a half yearly insurance premium of Rs. 5000. Calculate the income tax along with surcharge Seema has to pay in the last month of the year if her earlier deductions as income tax for the first 11 months were at the rate of Rs. 400 per month. (Marks 4)
Assume the following for calculating income tax :
(a) Standard Deduction 1/3 of the total income subject to a maximum of Rs. 20,000 (Rs. 25,000 if income is less than Rs. 1 lac)
(b) Rates of Income tax Slab
(i) Upto Rs. 50,000
(ii) From Rs. 50,001 to 60,000
(iii) From Rs. 60,001 to Rs. 1,50,000
(iv) From Rs. 1,50,001 onwards
Income Tax
Nil
10% of the amount exceeds Rs. 50,000
Rs. 1000 + 20% of the amount exceeding Rs. 60,000
Rs. 19,000 + 30% of the amount exceeding Rs. 1,50,000
(c) Rebate in Tax
20% of the total savings subject to a maximum of Rs. 12,000
(d) Surcharge 10% of the tax payable
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5 comments:

  1. nice blog

    http://sciencehelpline.blogspot.com

    ReplyDelete
  2. Found another great site for maths olympiad practice: http://www.examhelp.in

    ReplyDelete
  3. Cool list! Thanks a lot for posting these questionnaires, this is really helpful because I am currently taking an online self study and these questions are really helpful.

    CBSE

    ReplyDelete
  4. Very informative post indeed.. being enrolled in: http://www.wiziq.com/course/7618-full-preparation-for-class-10-mathematics
    I was looking for such articles online to assist me and also your post helped me a lot.:)

    ReplyDelete
  5. Very informative post. The students love mathematics, because it is highest scoring subject out of the three Physics, mathematics and chemistry. If anyone score high marks in mathematics, He can assure his top ranking in CBSE class 12.

    ReplyDelete

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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.