OFFICE OF DDPI KOLAR-DIST. KOLAR CHAPTERWISE QUESTION WITH ANSWERS
1. ARITHMETIC PROGRESSION
I. Multiple choice questions:-
1. The formula to find the ‘n’th term of an A.P whose first term ‘a’ and c.d. is ‘d’ is
A. an=a+(n-1)d B. an=a-(n-1)d C. an=a-(n+1)d D. an=a+(n+1)d
2. The common difference of the A.P 3,7,11,15,----------- is
A. -4 B 3 C. 4 D. 5
3. Which of the following is an example for an A.P
A. 3,5,7,10---- B. 3,5,6,9---- C. -2,-1,0,3 ---- D. 4,7,10,13 -----
4. The n th term of an A.P whose nth term is (7n+1) then its 5th term is
A. 36 B. 35 C.13 D. 8
5. If the terms 4,x,10 are in A.P then the value of ‘x’ is
A .6 B. 7 C. 8 D. 9
6. The difference between the 200 th and 201st term of the A.P 2,9,16,23, ------------ is
A. 401 B. 87 C. 11 D. 7
7. The first term of an A.P is – 3, if the common difference is 2, then its 2 nd term is.
A. -5 B. -1 C. +1 D. 5
8. The fifth term of the A.P 2, , 3, ----- is
A. 4 B. C. 5 D.
9. A sticker has to be pasted on each page of a book which contains multiple of 4 as page number. The number of stickers required for a book having 124 pages is
A. 30 B. 31 C. 32 D. 62
10. With usual notations, the formula used to find the sum of first ‘n’ natural numbers
is
A. Sn=2n+1 B. Sn= n 2 C. Sn= D. Sn=
II. One mark questions (VSA)
1. Write the formula to find the sum of first ‘n’ terms of an A.P with first term ‘a’ and last term an 2. Find the common difference of the A.P 2.3, 3.8. 5.3, 6.8, -------
3. Write the formula to find the sum of first ‘n’ terms of an A.P whose first term is ‘a’ and common difference is ‘d
4. If the common difference in an A.P is 3 find the value of a7 - a2
5. Write the 6th term of an A.P in which ‘m’ is the first term and ‘n’ is the c.d.
6. Find the sum of first 10 terms in an A.P in which the average of first and last term is 20.
7. Find the value of P 5x, 8x, P, 14x, 17x are in A.P
III. Two marks questions (SA)
1. If first and the last term in an A.P are 4 and 40 respectively. Find the sum of first 20 terms.
2. Find the 12th term of an A.P 2, 5, 8, 11, --------- using formula
3. Find the sum of first 21 terms of the A.P 7, 5, 3, 1, ------- with suitable formula 4. Find the sum of first 15 positive integers which are divisible by
4 using suitable formula.
5. Examine, whether 92 is a term of the A.P 2, 5, 8, 11, ----------
6. Find the 10th term from last (towards the first term) of the A.P 4, 7, 10, 13 -------, 64
7. Find the value of ‘x’ if the terms 3x-1, 15, 3x+1 are in A.P
8. The 10th term of an A.P is 8 short of its 20th term. Find the common difference.
9.The sum of first ‘n’ terms of an A.P is 270 and the sum of first and the last term is 18. Find ‘n’.
IV. Three marks questions (LA 1)
1. In an A.P the 3rd term is 3 and the 5th term is -11. Find its 50th term.
2. The middle term of an A.P having 25 terms is 20. Find the sum of these 25 terms.
3. A tag is cut into 3 parts so that their lengths are in A.P. The product of their lengths is 80 and the length of whole tag is 15cm. Find the length of each part.
4.The interior angles of a quadrilateral are in A.P. The smallest among them is 150 . Find the measure of remaining angles.
V. Four marks questions (LA 2)
1. In an A.P the sum of 3rd and 6th term is 28 and the sum of 4 th and 8th term is 34. Find the A.P.
2. The 4th term of an A.P is 14 and 8th term is 8 less than twice the 5th term. Find the sum of first 25 terms of the A.P.
3. A sum of Rs. 1600 is to be used to give ten cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.
4. An object starts falling freely from rest. The distance it covers in every second is in the form of A.P. The ratio of distance covered in 2nd and 3rd second is 3:5. The total distance covered in 15 seconds is 3600 ft. Find the common distance between each second.
5. In an A.P containing 50 terms, the sum of first 10 terms is 210 and that of last 15 terms is 2565. Find the A.P.
VI. Five marks questions (LA 3)
1. The sum of three terms of an A.P is 18 and the sum of the squares of extremes is 104. Find the A.P and the sum of first 40 terms.
2. In an A.P the ratio of sum of first four terms to that of next four terms is 1:3. Also the 7th term exceeds 4 times the 2nd term by 2. Find its 31st term.
3. The first terms of two different A.P are 2 and 5 respectively and their common difference are 3 and -2. The difference between the sum to n terms of the two A.P is between the sum to n terms of the two A.P is 195. Find the number of terms.
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