CBSE Class 10 Arithmetic Progressions Sure Shot Questions Set A

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Read and download the CBSE Class 10 Arithmetic Progressions Sure Shot Questions Set A. Designed for 2025-26, this advanced study material provides Class 10 Mathematics students with detailed revision notes, sure-shot questions, and detailed answers. Prepared by expert teachers and they follow the latest CBSE, NCERT, and KVS guidelines to ensure you get best scores.

Advanced Study Material for Class 10 Mathematics Chapter 5 Arithmetic Progression

To achieve a high score in Mathematics, students must go beyond standard textbooks. This Class 10 Chapter 5 Arithmetic Progression study material includes conceptual summaries and solved practice questions to improve you understanding.

Class 10 Mathematics Chapter 5 Arithmetic Progression Notes and Questions

 

CBSE Class 10 Arithmetic Progressions Sure Shot Questions Set A. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations.  Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.

Q1. Determine the AP whose 3rd term is 5 and the 7th term is 9.

Q2. The 8th term of an AP is 37 and its 12th term is 57. Find the AP.

Q3. The 7th term of an AP is – 4 and its 13th term is – 16. Find the AP.

Q4. If the 10th term of an AP is 52 and the 17th term is 20 more than the 13th term, find the AP.

Q5. If the 8th term of an AP is 31 and its 15th term is 16 more than the 11th term, find the AP.

Q6. Check whether 51 is a term of the AP 5, 8, 11, 14, ……?

Q7. The 6th term of an AP is – 10 and its 10th term is – 26. Determine the 15th term of the AP.

Q8. The sum of 4th term and 8th term of an AP is 24 and the sum of 6th and 10th terms is 44. Find the AP.

Q9. The sum of 5th term and 9th term of an AP is 72 and the sum of 7th and 12th terms is 97. Find the AP.

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Q14. An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.

Q15. Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.

Q16. The 17th term of an AP exceeds its 10th term by 7. Find the common difference.

Q17. If the nth term of an AP is (5n – 2), find its first term and common difference. Also find its 19th term.

Q18. If the nth term of an AP is (4n – 10), find its first term and common difference. Also find its 16th term.

Q19. If 2x, x + 10, 3x + 2 are in A.P., find the value of x.

Q20. If x + 1, 3x and 4x + 2 are in AP, find the value of x.
 
Q21. Find the value of x for which (8x + 4), (6x – 2) and (2x + 7) are in AP.
 
Q22. Find the value of x for which (5x + 2), (4x – 1) and (x + 2) are in AP.
 
Q23. Find the value of m so that m + 2, 4m – 6 and 3m – 2 are three consecutive terms of an AP.
 
Q24. Find the 20th term from the last term of the AP : 3, 8, 13, . . ., 253.
 
Q25. Find the 11th term from the last term (towards the first term) of the AP : 10, 7, 4, . . ., – 62.
 
Q26. Find the 10th term from the last term of the AP : 4, 9 , 14, . . ., 254.
 
Q27. Find the 6th term from the end of the AP 17, 14, 11, …… (–40).
 
Q28. Find the 8th term from the end of the AP 7, 10, 13, …… 184.
 
Q29. Find the 10th term from the last term of the AP : 8, 10, 12, . . ., 126.
 
Q30. Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.
 
Q31. If the 3rd and the 9th terms of an AP are 4 and –8 respectively, which term of this AP is zero?
 
Q32. Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?
 
Q33. For what value of n, are the nth terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?
 
Q34. For what value of n, are the nth terms of two APs: 13, 19, 25, . . . and 69, 68, 67, . . . equal?
 
Q35. The 8th term of an AP is zero. Prove that its 38th tem is triple its 18th term.
 
Q36. The 4th term of an AP is 0. Prove that its 25th term is triple its 11th term.
 
Q37. If the mth term of an AP be 1 /n and its nth term be 1/m , then show that its (mn)th terms is 1.
 
Q38. If m times the mth term of an AP is equal to n times the nth term and m ≠ n, show that its (m + n)th term is 0.
 
Q39. If the pth term of an AP is q and qth term of an AP is p, prove that its nth is (p + q – n).
 
Q40. If the pth, qth and rth terms of an AP is a, b, c respectively, then show that a(q – r) + b(r – p) + c(p – q) = 0.
 
Q41. If the pth, qth and rth terms of an AP is a, b, c respectively, then show that p(b – c) + q(c – a) + r(a – b) = 0.
 
Q42. If the nth term of a progression be a linear expression in n, then prove that this progression is an AP.
 
Q43. The sum of three numbers in AP is 21 and their product is 231. Find the numbers.
 
Q44. The sum of three numbers in AP is 27 and their product is 405. Find the numbers.
 
Q45. The sum of three numbers in AP is 15 and their product is 80. Find the numbers.
 
Q46. Find three numbers in AP whose sum is 3 and product is – 35.
 
Q47. Divide 24 in three parts such that they are in AP and their product is 440.
 
Q48. The sum of three consecutive terms of an AP is 21 and the sum of the squares of these terms is 165. Find the terms.
 
Q49. Find four numbers in AP whose sum is 20 and the sum of whose squares is 120.
 
Q50. Find four numbers in AP whose sum is 28 and the sum of whose squares is 216.
 
Q51. Find four numbers in AP whose sum is 50 and in which the greatest number is 4 times the least.
 
Q52. The angles of a quadrilateral are in AP whose common difference is 100. Find the angles.
 
Q53. Show that (a – b)2, (a2 + b2) and (a + b)2 are in AP.
 
Q54. If 10th times the 10th term of an AP is equal to 15 times the 15th term, show that its 25th term is 0.
 
Q55. If 5 times the 5th term of an AP is equal to 8 times its 8th term, show that the 13th term is 0.
 
Q56. How many terms are there in the AP 7, 11, 15, ….. , 139?
 
Q57. How many terms are there in A.P. 7,11,15,…………..139?
 
Q58. How many terms are there in the AP 6, 10, 14, 18, ….. 174.
 
Q59. How many three-digit numbers are divisible by 7?
 
Q60. How many multiples of 7 between 50 and 500?
 
Q61. How many multiples of 4 lie between 10 and 250?
 
Q62. How many terms are there in the AP 41, 38, 35, …… , 8.
 
Q63. Which term of the AP : 3, 8, 13, 18, . . . ,is 78?
 
Q64. Which term of the A.P. 5, 13, 21, ………….. is 181?
 
Q65. Which term of the A.P. 5, 9, 13, 17,………….. is 81?
 
Q66. Which term of the AP 3, 8, 13, 18,…… will be 55 more than its 20th term?
 
Q67. Which term of the AP 8, 14, 20, 26,…. will be 72 more than its 41st term?
 
Q68. Which term of the AP 9, 12, 15, 18,…. will be 39 more than its 36th term?
 
Q69. Which term of the AP 3, 15, 27, 39,…. will be 120 more than its 21st term?
 
Q70. Which term of the AP 24, 21, 18, 15, …. Is first negative term?
 
Q71. Which term of the AP 3, 8, 13, 18, …… is 88?
 
Q72. Which term of the AP 72, 68, 64, 60, …… is 0?
 
Q73. Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term?
 
Q74. Which term of the AP 5/6,1,1/6,1-1/3,...s 3 ?
 
Q75. A sum of Rs. 1000 is invested at 8% simple interest per year. Calculate the interest at the end of each year. Does this interest form an AP? If so, find the interest at the end of 30 years.
 
Q76. In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and so on. There are 5 rose plants in the last row. How many rows are there in the flower bed?
 
Q77. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.
 
Q78. Manish saved Rs. 50 in the first week of the year and then increased his weekly savings by Rs. 17.50 each week. In what week will his weekly savings be Rs. 207.50?
 
Q79. Subba Rao started work in 1995 at an annual salary of Rs 5000 and received an increment of Rs 200 each year. In which year did his income reach Rs 7000?
 
Q80. Ramkali saved Rs 5 in the first week of a year and then increased her weekly savings by Rs 1.75. If in the nth week, her weekly savings become Rs 20.75, find n.

Please click the link below to download CBSE Class 10 Arithmetic Progressions Sure Shot Questions Set A.

Chapter 01 Real Numbers
CBSE Class 10 Real Numbers Important Formulas and concepts for exams
CBSE Class 10 Real Numbers Sure Shot Questions
Chapter 02 Polynomials
CBSE Class 10 Polynomials Important Formulas and concepts for exams
CBSE Class 10 Polynomials Sure Shot Questions
Chapter 03 Pair of Linear Equations in Two Variables
CBSE Class 10 Pair of linear equations Important Formulas and concepts for exams
CBSE Class 10 Pair of Linear Equations in Two Variables Sure Shot Questions Set A
CBSE Class 10 Pair of Linear Equations in Two Variables Sure Shot Questions Set B
CBSE Class 10 Pair of Linear Equations in Two Variables Sure Shot Questions Set C
CBSE Class 10 Pair of Linear Equations in Two Variables Sure Shot Questions Set D
Chapter 04 Quadratic Equations
CBSE Class 10 Quadratic Equations Important Formulas and concepts for exams
CBSE Class 10 Quadratic Equations Sure Shot Questions Set A
CBSE Class 10 Quadratic Equations Sure Shot Questions Set B
CBSE Class 10 Quadratic Equations Sure Shot Questions Set C
CBSE Class 10 Quadratic Equations Sure Shot Questions Set D
CBSE Class 10 Quadratic Equations Sure Shot Questions Set E
Chapter 05 Arithmetic Progression
CBSE Class 10 Arithmetic Progression Important Formulas and concepts for exams
CBSE Class 10 Arithmetic Progressions Sure Shot Questions Set A
CBSE Class 10 Arithmetic Progressions Sure Shot Questions Set B
Chapter 06 Triangles
CBSE Class 10 Triangles Important Formulas and concepts for exams
CBSE Class 10 Triangles Sure Shot Questions
Chapter 07 Coordinate Geometry
CBSE Class 10 Coordinate Geometry Important Formulas and concepts for exams
CBSE Class 10 Coordinate geometry Sure Shot Questions Set A
CBSE Class 10 Coordinate geometry Sure Shot Questions Set B
CBSE Class 10 Coordinate geometry Sure Shot Questions Set C
CBSE Class 10 Coordinate geometry Sure Shot Questions Set D
Chapter 08 Introduction to Trigonometry
CBSE Class 10 Application of Trigonometry Important Formulas and concepts for exams
CBSE Class 10 Application of Trigonometry Sure Shot Questions Set A
CBSE Class 10 Introduction to Trigonometry Important Formulas and concepts for exams
CBSE Class 10 Introduction to Trigonometry Sure Shot Questions Set A
CBSE Class 10 Introduction to Trigonometry Sure Shot Questions Set B
CBSE Class 10 Introduction to Trigonometry Sure Shot Questions Set C
CBSE Class 10 Introduction to Trigonometry Sure Shot Questions Set D
CBSE Class 10 Introduction to Trigonometry Sure Shot Questions Set E
CBSE Class 10 Introduction to Trigonometry Sure Shot Questions Set F
Chapter 10 Circles
CBSE Class 10 Circles Important Formulas and concepts for exams
CBSE Class 10 Circles Sure Shot Questions
Chapter 11 Areas related to Circles
CBSE Class 10 Areas related to Circles Sure Shot Questions Set A
Chapter 12 Surface Area and Volume
CBSE Class 10 Surface Areas and Volumes Important Formulas and concepts for exams
CBSE Class 10 Surface Areas and Volumes Sure Shot Questions Set A
CBSE Class 10 Surface Areas and Volumes Sure Shot Questions Set B
Chapter 13 Statistics
CBSE Class 10 Statistics Important Formulas and concepts for exams
CBSE Class 10 Statistics Sure Shot Questions Set A
CBSE Class 10 Statistics Sure Shot Questions Set B
CBSE Class 10 Statistics Sure Shot Questions Set C
CBSE Class 10 Statistics Sure Shot Questions Set E
Chapter 14 Probability
CBSE Class 10 Probability Important Formulas and concepts for exams
CBSE Class 10 Probability Sure Shot Questions Set A
CBSE Class 10 Probability Sure Shot Questions Set B
CBSE Class 10 Probability Sure Shot Questions Set C
CBSE Class 10 Probability Sure Shot Questions Set D
CBSE Class 10 Probability Sure Shot Questions Set E
CBSE Class 10 Probability Sure Shot Questions Set F
CBSE Class 10 Probability Sure Shot Questions Set G
z Case Study Class 10 Mathematics
CBSE Class 10 Areas related to circles Important Formulas and concepts for exams
CBSE Class 10 Areas related to circles Sure Shot Questions
CBSE Class 10 Mathematics Case Studies
CBSE Class 10 Statistics Sure Shot Questions Set D
z More Study Material Class 10 Mathematics
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~ Class 10 Mathematics (Old Chapters)
CBSE Class 10 Constructions Important Formulas and concepts for exams
CBSE Class 10 Constructions Sure Shot Questions

Important Practice Resources for Class 10 Mathematics

CBSE Class 10 Mathematics Chapter 5 Arithmetic Progression Study Material

Students can find all the important study material for Chapter 5 Arithmetic Progression on this page. This collection includes detailed notes, Mind Maps for quick revision, and Sure Shot Questions that will come in your CBSE exams. This material has been strictly prepared on the latest 2026 syllabus for Class 10 Mathematics. Our expert teachers always suggest you to use these tools daily to make your learning easier and faster.

Chapter 5 Arithmetic Progression Expert Notes & Solved Exam Questions

Our teachers have used the latest official NCERT book for Class 10 Mathematics to prepare these study material. We have included previous year examination questions and also step-by-step solutions to help you understand the marking scheme too. After reading the above chapter notes and solved questions also solve the practice problems and then compare your work with our NCERT solutions for Class 10 Mathematics.

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To get the best marks in your Class 10 exams you should use Mathematics Sample Papers along with these chapter notes. Daily practicing with our online MCQ Tests for Chapter 5 Arithmetic Progression will also help you improve your speed and accuracy. All the study material provided on studiestoday.com is free and updated regularly to help Class 10 students stay ahead in their studies and feel confident during their school tests.

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