Real Numbers

CBSE Class 10 · Mathematics · 40 past questions

These are the board's own papers. 154 more board questions reprinted in the books we use in class are for signed-in students: sign in.

14 of 40 · show all

Q5 2026

(Assertion and Reason based Questions)…
Q6 2026

Find the greatest number less than 10,000 which is exactly divisible by 48, 60 and 65.
Q9 2026 (Basic)

Directions : In questions number 19 and 20, a statement of Assertion (A) is followed by a statement of Reason…
Q10 Sample paper 2026-27

The greatest number which divides both 134 and 188, leaving remainders 4 and 6 respectively, is…
Q11 Sample paper 2026-27

A hall has a length of 9.75 m, breadth of 6.75 m and height of 5.25 m. What is the length of the longest…
Q12 Sample paper 2026-27

Given that $\sqrt{3}$ is irrational number, prove that $(2+3\sqrt{3})$ is an irrational number.
Q18 2025

If HCF(98, 28) = m and LCM(98, 28) = n, then the value of $n - 7m$ is…
Q22 2025 (Basic)

Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…
Q28 2024

If two positive integers $p$ and $q$ can be expressed as $p = 18a^2b^4$ and $q = 20a^3b^2$, where $a$ and $b$…
Q29 2024

Prove that $5 - 2\sqrt{3}$ is an irrational number. It is given that $\sqrt{3}$ is an irrational number.
Q30 2024

In a teachers' workshop, the number of teachers teaching French, Hindi and English are 48, 80 and 144…
Q37 2023

In Question 19 and 20, an Assertion (A) statement is followed by a statement of Reason (R). Select the… (with a figure)
Q38 2023

Find the greatest number which divides 85 and 72 leaving remainders 1 and 2 respectively.
Q40 2023 (Basic)

Find the LCM and HCF of 92 and 510, using prime factorisation.