01 · CBSE BOARD EXAM 2024
CBSE 2024 Board Practice Questions
CBSE 2024 · 1 MARK
Q1. Find the 10th term of the AP: 2, 7, 12, ...
CBSE 2024 · 1 MARK
Q2. If the n-th term of an AP is 3n + 1, then its 5th term is:
(A) 16 (B) 14 (C) 15 (D) 17
CBSE 2024 · 2 MARKS
Q3. Which term of the AP: 21, 18, 15, ... is -81?
CBSE 2024 · 3 MARKS
Q4. The 4th term of an AP is zero. Prove that its 25th term is triple its 11th term.
CBSE 2024 · 5 MARKS
Q5. 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.
02 · CBSE BOARD EXAM 2023
CBSE 2023 Board Practice Questions
CBSE 2023 · 1 MARK
Q6. The common difference of the AP whose n-th term is aₙ = 3n + 7 is:
(A) 3 (B) 7 (C) 10 (D) 6
CBSE 2023 · 2 MARKS
Q7. Find the sum of first 20 terms of the AP: 1, 4, 7, 10, ...
CBSE 2023 · 3 MARKS
Q8. If the sum of first n terms of an AP is given by Sₙ = 3n² + 5n, find its 16th term.
CBSE 2023 · 5 MARKS
Q9. A production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16,000 sets in 6th year and 22,600 in 9th year. Find: (i) the production in 1st year, (ii) total production in first 10 years.
03 · CBSE BOARD EXAM 2022
CBSE 2022 Board Practice Questions
CBSE 2022 · 1 MARK
Q10. Find the 11th term from the last term of the AP: 10, 7, 4, ..., -62.
CBSE 2022 · 2 MARKS
Q11. Find the sum of all 2-digit odd positive numbers.
CBSE 2022 · 3 MARKS
Q12. How many terms of the AP: 9, 17, 25, ... must be taken to give a sum of 636?
04 · CBSE BOARD EXAM 2021
CBSE 2021 Board Practice Questions
CBSE 2021 · 1 MARK
Q13. For what value of p are 2p + 1, 13, and 5p - 3 three consecutive terms of an AP?
CBSE 2021 · 2 MARKS
Q14. If 7 times the 7th term of an AP is equal to 11 times its 11th term, show that the 18th term of the AP is zero.
CBSE 2021 · 3 MARKS
Q15. The sum of the first 7 terms of an AP is 49 and that of 17 terms is 289. Find the sum of first n terms.
05 · CBSE BOARD EXAM 2020
CBSE 2020 Board Practice Questions
CBSE 2020 · 1 MARK
Q16. Find the common difference of the AP: 1/a, (1-a)/a, (1-2a)/a, ...
CBSE 2020 · 3 MARKS
Q17. If the ratio of the sum of first n terms of two APs is (7n + 1) : (4n + 27), find the ratio of their 9th terms.
CBSE 2020 · 5 MARKS
Q18. 200 logs are stacked in the following manner: 20 logs in bottom row, 19 in next, 18 in next row and so on. In how many rows are the 200 logs placed and how many logs are in the top row?
06 · SELF-PRACTICE TIPS
Tips for Solving Board PYQs
01
Remember that the $n$-th term can be obtained from sum of terms using aₙ = Sₙ - Sₙ₋₁.
02
For term from the end, use formula aₙ(from end) = l - (n - 1)d where $l$ is the last term.
03
Three terms in AP can be assumed as (a - d), a, (a + d) to simplify algebraic sum equations.