KENDRIYALAYA No. 1 SRIVIJAYANAGAR
Class : X Board questions Chapter : Arithmetic Progression
March 2011
1. Find how many two-dist numbers are divisible by 6.
2. How many numbers between 200 and 500 are divisible by 7.
3. Which term of AP 3, 14, 25, 36, …… will be 99 more than its 25th term.
4. Find an AP whose 4th term is 9 and the sum of its 6th term and 13th term is 40.
5. The first and the last terms of an AP are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum.
6. How many multiples of 4, lie between 10 and 250 ? Also find their sum.
7. If the common difference of an AP is 3, then a20 – a15 is ?
March 2011 (SBE)
8. The sum of n terms of an AP P, 3P, 5P, . . . . . . is
9. The 8th term of an AP is 37 and its 12th term is 57 Find the AP.
10. Find the sum of first 15 terms of an AP whose nth term is given by 9 – 5n.
11. Find the sum of all 3 digit numbers which leave the remainder 3 when divided by 5.
12. The sum of first 15 terms of an AP is 105 and the sum of next 15 terms is 780. Find the first three terms of the Arithmetic Progression.
March 2012
1. How many three-digit number are divisible by 11 ?
2. Find the sum of all multiples 8 between 201 and 950.
3. If the sum of the first 7 terms of an AP is 119 and that of the first 17 terms
is 714, find the sum of its first n terms.
4. A sum of Rs.1600/- is to be used to give ten cash prizes. If each prize is Rs.20/-less than its preceding prize, find the value of the each prizes.
March 2012(SBE)
1. If 2x – 1, 7, 11 are in AP then the value of x is ?
2. Find the sum of a +b, a-b, a-3b, . . . . . to 22 terms.
3. If the 5th term of an AP is 22 and the 10th term is 42, find the 50th term of the AP.
4. Determine the sum of first 35 terms of an AP, if its second term is 2, and seventh term is 22.
March 2013
1. Find the number of all three digit numbers which are divisible by 9.
2. The 19th term of an AP is equal to three times its 6th term, if its 9th term is19,
find the AP.
3. The sum of first n terms of an AP is 5n2 + 3n. If its mth term is 168, find the value of m. Also find the 20th term of this AP.
March 2013 ( SBE)
1. Find the sum of all two digit natural numbers which are divisible by 7.
2. In an AP the sum of first ten terms is - 80 and the sum of next ten terms is - 280.
Find the 16th term of the AP.
March 2014
1. If k, 2k-1, and 2k+1 are in AP, the value of k is ?
2. Find the number of natural numbers between 101 and 999 which are divisible by 2 and 5.
3. The sum of 5th and the 9th terms of an AP is 30. If its 25th term is three times its 8th term, find the AP.
4. In a school , students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two section, find how many trees were planted by the students. Which value is shown in this question ?
5. The sum of first seven terms of an AP is 182. If it’s 4th and the 17th terms are in the ratio 1: 5 find the AP.
March 2014(SBE)
1. If k, 2k-1, and 2k+1 are in AP, the value of k is ?
2. Find the number of natural numbers between 101 and 999 which are divisible by 2 and 5.
3. The sum of 5th and the 9th terms of an AP is 30. If its 25th term is three times its 8th term, find the AP.
4. In a school , students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two section, find how many trees were planted by the students. Which value is shown in this question ?
5. The sum of first seven terms of an AP is 182. If it’s 4th and the 17th terms are in the ratio 1: 5 find the AP.
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