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Wednesday, 28 December 2011

CBSE/NCERT 10 Maths Guess Questions Chapter Arithmetic Progressions


Download Test paper model paper link
1) For what value of p, are 2p-1, 7 and 3p three consecutive terms of an A.P? (P=3)
2) Find the value of k, so that 3k + 7, 2k +5, 2k + 7 are in A.P  (k= -4)
3) Find the 15th term from the end of the A.P:   3, 5, 7,………, 201(173)
4) Find the 11th term from the end of the A.P:    10, 7, 4,……, - 62 (-32)          
5) If Sn, the sum of first n terms of an A.P is given by Sn = 3n2 – 4n, then find its nth term 
(6n – 7)      
6) The sum of n terms of an A.P. is 3n2 + 5n. Find the A.P. Hence, find its 16th term
 (6n + 2, 98)   
7)  In the following A.P. find the missing term   -, 38, -, -  , - , -,22  
8)  Find the sum of all natural numbers less than 100 which are divisible by 6                        (816) 
9) Find the sum of 3 digit numbers which are not divisible by 7                  (424214)
10)  Find the sum of all three digit numbers which leave the remainder 3 when divided by 5      (99090)
11) Find the sum of first seven multiples of 5                                        (140)
12) Find the sum of all natural numbers up to 100, which are not divisible by 5           (4000)
13) In an A.P , if the 6th and 13th terms are 35 and 70 respectively, find the sum of its first 20 terms.
14) If the 3rd and 9thterm of an A.P. are 4 and -8 respectively, which term is zero (n = 5)    
15) The sum of 4th and 8th terms of an A.P is 24 and sum of 6th and 10th term is 44. Find A.P.                
16) The 4th term of an A.P is equal to 3 times the first term and the 7th term exceeds twice the 3rd term by 1. Find the A.P  (3 ,5 ,7, …)
17) Which term of the A.P.?  3, 15, 27, 39, will be 120 more than its 21st term   ( n = 31)
18) In an A.P., the first term is 25, nth term is -17 and sum to first n terms is 60.Find n and d the common difference.                                                              1
19) Which term of the sequence 114, 109, 104,is the first negative term?                (n =24)
20) If the 4th term of an A.P is twice the 8th term, prove that the 10th term is twice the 11th term 
21) If 2 + 5 + 8 + …………………………+ x = 155, find x    (n = 10, x = a10=29)
22) For A.P. a1, a2, a3, ………., if a4/a7 = 2/3 , find a6/a8                          (4/5)
23) Find the sum of the following A.P:           1 + 3 + 5 + …….. + 199.        (10000)                   24) Find the common difference of an AP whose first term is 100 and sum of first six terms is 5 times the The sum of the next 6 terms                  (d= - 10)
25) Show that progression 7, 2, -3, -8, … ……..Is an A.P . Find its nth term      (12 – 5n)
26) The angles of a triangle are in A.P, the last being half the greatest. Find the angles.     (40˚, 60˚, 80˚)
27)  Find the sum of n terms of an A.P whose nth term is given by tn = 5 – 6n (2n – 3n2)
28) Find the middle term of A.P:     1, 8, 15,  ……………, 505        (253)
29) Find the number of terms of the A.P, 63, 60, 57,  ……….. So that their sum is 693 (n = 22, 21)  
30) The sum of 3 numbers in A.P is 3 and their product is -35. Find the numbers        
(7, 1, and -5)
31) How many terms of the sequence 18, 16, 14,  …………, should be taken so that their sum is 0                                                      (n= 19)
32) A sum of Rs 1400 is to be used to give 7 cash prizes to students of a school for their overall academic Performance if each prize is Rs40 less than the preceding price, find the value of each of the prizes.    (320, 280, 240, 200, 160, 120, 80)                                                                           
33) Verify that a + b, (a + 1) + b, (a + 1) + (b + 1) ……….. Is an A.P. and then write its next term                              (a+2) + (b+1)
34) Determine the A.P whose 3rd term is 16 and 7th term exceeds the 5th term by 12                                                    (4, 6, 10, 16 ,…………) 
35) If the nth term of the A.P. 9, 7, 5, ………… is the same as the nth term of the A.P. 15, 12, 9, ………., find n                       (n = 7 )
36) Find the sum of first 22 terms of an A.P. in which d = 7 and 22nd term is 149        (1661)
37) Find the sum of the following A.P:      3, 9/2, 6, 15/2,  ………. To 25 terms              (525) 
38) The ratio of the sum to p terms and q terms of an A.P. is p2 : q2. Prove that the common difference of the A.P.is twice The first term
39) In an A.P., if the sum of its 4th and 10th terms is 40, and the sum of its 8th and 16th terms is 70, then find the sum of its  First 20 terms
40) Three consecutive positive integers are taken such that the sum of the square of the first and the product of the other two Is 154. Find the integers                        (3, 5, 7……….).              
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5. Circles

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