Arithmetic Progressions

CBSE Class 10 · Mathematics · 34 past questions

These are the board's own papers. 151 more board questions reprinted in the books we use in class are for signed-in students: sign in.

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Q1 2026

The number of multiples of 4 lying between 12 and 250 is…
Q2 2026

The n$^{th}$ term of the A.P. $\frac{-1}{3}, \frac{2}{3}, \frac{5}{3}, \frac{8}{3}, \ldots$ is…
Q3 2026

If $a_n$ represents $n^{th}$ term of the A.P. $-\frac{15}{4}, -\frac{10}{4}, -\frac{5}{4}, \ldots$ then value…
Q4 2026

In an A.P., 15$^{th}$ term exceeds the 8$^{th}$ term by 21. If sum of first 10 terms is 55, then form the A.P.
Q5 2026

The $n^{th}$ term of an A.P. is $\sqrt{2}\,n + 1$. Its common difference is
Q6 2026 (Basic)

The sum of first $n$ terms of an A.P. is $50\sqrt{2}$. If the first and the last terms are $\sqrt{2}$ and…
Q7 2026 (Basic)

$n^{th}$ term of the A.P. $-\frac{3}{2}, \frac{3}{2}, \frac{9}{2}, \ldots$ is…
Q8 2026 (Basic)

The third and ninth term of an A.P. are 4 and −8 respectively.
Q9 Sample paper 2026-27

The middle term of the A.P.: 10, 7, 4, …, – 62 is…
Q10 Sample paper 2026-27

Ridhi drew a polygon with n sides. The smallest exterior angle is 8° and each subsequent exterior angle is 4°…