CLASS-10 UP BOARD MATH (822 HY) Previous Year Paper 2024 Instructions: 1️⃣ Click on Start Quiz 2️⃣ Answer 20 Questions 3️⃣ Click Submit 4️⃣ Get Score & Correct Answers 🎯 Practice + Patience = Perfection! 🎯 Name Email 1. The sum of zeroes of the polynomial $3x^2 + 5x + 2$ will be $-\dfrac{5}{2}$ $-\dfrac{5}{3}$ $-5$ $6$ None 2. There will be no solution of the equations $2x + ay = 1$ and $3x - 5y = 7$ if the value of $a$ is $-\dfrac{3}{10}$ $\dfrac{3}{10}$ $-\dfrac{10}{3}$ $\dfrac{10}{3}$ None 3. The nature of roots of the equation $2x^2 + 5x + 4 = 0$ will be rational and equal irrational rational and unequal not real None 4. 10th term from the end of the A.P. 4, 9, 14, ..., 254 will be 208 204 209 214 None 5. In the figure, there is a pair of similar triangles. Its correct symbolic expression will be $\triangle ABC \sim \triangle DEF$ $\triangle ABC \sim \triangle EFD$ $\triangle ABC \sim \triangle EDF$ $All of these$ None 6. Distance of the point ( -3, -4) from origin will be $-3$ $-4$ $5$ $6$ None 7. If $cot A = \dfrac{3}{4}$, then the value of $sec A$ will be: $\dfrac{4}{3}$ $\dfrac{5}{4}$ $\dfrac{3}{5}$ $\dfrac{5}{3}$ None 8. If $tan α = sin α$, then the value of $α$ will be: 0° 45° 60° 90° None 9. If the ratio of the length of a rod and its shadow is $1 : \sqrt{3}$, the elevation angle of the sun will be 0° 45° 60° 90° None 10. Number of parallel tangent lines drawn to the end points of the diameter of a circle will be 0 1 2 infinite None 11. The area of the sector of a circle whose angle is 60° and radius 12 cm will be $18𝞹 cm^2$ $20𝞹 cm^2$ $24𝞹 cm^2$ $30𝞹 cm^2$ None 12. If diameter of a sphere is $d$ then its volume will be $\dfrac{𝞹}{3}d^3$ $\dfrac{𝞹}{24}d^3$ $\dfrac{4𝞹}{3}d^3$ $\dfrac{𝞹}{6}d^3$ None 13. Total surface area of a solid hemisphere with radius $r$ will be $\dfrac{2}{3}𝞹r^2$ $2𝞹r^2$ $3𝞹r^2$ $4𝞹r^2$ None 14. The median class of the following frequency table will be $$\begin{array}{|c|c|c|c|c|c|} \hline \textbf{Class Interval} & 0 - 5 & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 \\ \hline \textbf{Frequency} & 4 & 6 & 5 & 8 & 2 \\ \hline \end{array}$$ 0 - 5 5 - 10 10 - 15 15 - 20 None 15. The mean and median of a frequency table are 27 and 29 respectively. Then its mode will be 28 31 33 35 None 16. The mean of the following table $$\begin{array}{|c|c|c|c|c|} \hline \textbf{Class Interval} & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 \\ \hline \textbf{Frequency} & 2 & 1 & 4 & 3 \\ \hline \end{array}$$ will be 21 23 25 26 None 17. The probability of 53 Mondays in a leap year will be $\dfrac{6}{7}$ $\dfrac{5}{7}$ $\dfrac{2}{7}$ $\dfrac{1}{7}$ None 18. Two friends were born in 2020. Find the probability that the date of birth of them will be same. $\dfrac{1}{365}$ $\dfrac{1}{366}$ $\dfrac{2}{365}$ $\dfrac{2}{366}$ None 19. The distance between the two points (2, 3) and (4, 1) will be $2$ $3$ $2\sqrt{2}$ $2\sqrt{3}$ None 20. Irrational number in the following will be $\sqrt{25}$ $\sqrt{81}$ $\dfrac{5}{3}$ $5 + \sqrt{2}$ None 1 out of 20 Thanks for taking Quiz! If you need any help or you have any suggestions, please comment here. (Optional)