CLASS-10 UP BOARD MATH (822 BY) MCQs (PYQ - 2025) Instructions: 1️⃣ Click on Start Quiz 2️⃣ Answer 20 Questions 3️⃣ Click Submit 4️⃣ Get Score & Correct Answers 🎯 Practice + Persistence + Patience = Progress! 🎯 Name Email 1. For a polynomial $f(x)$ the graph of $y=f(x)$ is given. The number of zeroes of $f(x)$ in the graph will be 1 2 3 4 None 2. Prime factorisation of 156 will be $2^2 \times 3 \times 13$ $2 \times 3^2 \times 13$ $2 \times 3 \times 13$ $2 \times 3 \times 13^2$ None 3. The HCF of the numbers 175 and 91 will be: 5 7 9 25 None 4. Which of the following numbers will be a rational number? $\sqrt{3}/\sqrt{5}$ $\sqrt{2} \times \sqrt{7}$ $(\sqrt{5}+\sqrt{7})(\sqrt{5}-\sqrt{7})$ $\sqrt{12}$ None 5. The solution of a pair of linear equations $2x+y=5$ and $3x+2y=8$ will be: Unique Two Infinitely many None of these None 6. 25th term of an A.P. 6, 10, 14, ... will be: 100 102 101 151 None 7. If one root of the quadratic equation $x^2 + 2x - p = 0$ is $-2$, then the value of $p$ will be: 0 1 2 3 None 8. Distance between two points $(2, 3)$ and $(4, 1)$ will be: $2$ $2\sqrt{2}$ $2\sqrt{3}$ $12$ None 9. Area of sector of angle $\theta$ of a circle with radius $r$ will be: $\dfrac{\theta}{180} \times \pi r^2$ $\dfrac{\theta}{180} \times r^2$ $\dfrac{\theta}{360} \times 2\pi r$ $\dfrac{\theta}{720} \times 2\pi r^2$ None 10. The length of a tangent of a circle of radius 3 cm drawn from a point at a distance of 5 cm from the centre will be: 3 cm 4 cm 5 cm 6 cm None 11. In the figure, the value of $\angle P$ will be: $20^\circ$ $40^\circ$ $60^\circ$ $80^\circ$ None 12. The median class of the following frequency table will be $$\begin{array}{|c|c|c|c|c|c|c|} \hline \textbf{Class Interval} & 0 – 10 & 10 – 20 & 20 – 30 & 30 – 40 & 40 – 50 & 50 – 60 \\ \hline \textbf{Frequency} & 7 & 12 & 18 & 15 & 10 & 3 \\ \hline \end{array}$$ 20–30 30–40 40–50 10–20 None 13. If $\sin\theta = \cos\theta$, $0^\circ \leq \theta \leq 90^\circ$, then the value of $\theta$ will be: $60^\circ$ $45^\circ$ $30^\circ$ $0^\circ$ None 14. The value of $\cos 0^\circ$ will be: 1 0 2 -1 None 15. If $\tan 2A = 1$, where $2A$ is an acute angle, the value of $A$ will be: $36^\circ$ $22\dfrac{1}{2}^\circ$ $38^\circ$ $45^\circ$ None 16. The value of $(\sec A + \tan A)(1 - \sin A)$ will be: $sec A$ $sin A$ $cosec A$ $cos A$ None 17. The mean and median of a frequency distribution are 26.1 and 25.8 respectively. The value of mode for the distribution will be: 24.2 25.1 25.2 26.4 None 18. The modal class of the following table will be $$\begin{array}{|c|c|c|c|c|c|} \hline \textbf{Class Interval} & 0 – 5 & 5 – 10 & 10 – 15 & 15 – 20 & 20 – 25 \\ \hline \textbf{Frequency} & 5 & 8 & 12 & 10 & 7 \\ \hline \end{array}$$ 5–10 15–20 20–25 10–15 None 19. The area of a rectangular field is $30 \text{ m}^2$. If its length is 1 m greater than its breadth $x$, then the quadratic equation to find them will be: $x^2 + x + 30 = 0$ $x^2 - x + 30 = 0$ $x^2 + x - 30 = 0$ $x^2 - x - 30 = 0$ None 20. When a die is thrown once, the probability of getting an even number will be: $\dfrac{1}{4}$ $\dfrac{1}{3}$ $\dfrac{1}{2}$ $\dfrac{1}{6}$ None 1 out of 20 Thanks for taking Quiz! If you need any help or you have any suggestions, please comment here. (Optional)