PYQ Vault

Day 210: CBSE Class 10 Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Quadratic Equations. Asked once: 2022

    8 (b)
    Had Aarush scored 8 more marks in a Mathematics test, out of 35 marks, 7 times these marks would have been 4 less than square of his actual marks. How many marks did he get in the test ?

  2. Question 2

    Real Numbers. Asked once: 2025

    6
    If HCF(98, 28) = m and LCM(98, 28) = n, then the value of n−7mn - 7m is :

    Tap an option to check your answer.

  3. Question 3 (case study, 2 parts)

    Some Applications of Trigonometry. Asked once: 2022

    Gadisar Lake is located in the Jaisalmer district of Rajasthan. It was built by the King of Jaisalmer and rebuilt by Gadsi Singh in 14th14^{\text{th}} century. The lake has many Chhatris. One of them is shown below : Observe the picture. From a point A hh m above from water level, the angle of elevation of top of Chhatri (point B) is 45∘45^\circ and angle of depression of its reflection in water (point C) is 60∘60^\circ. If the height of Chhatri above water level is (approximately) 10 m, then
    14 (a)
    draw a well-labelled figure based on the above information;
    14 (b)
    find the height (h)(h) of the point A above water level. (Use 3=1⋅73\sqrt{3} = 1{\cdot}73)

  4. Question 4

    Surface Areas and Volumes. Asked once: 2022

    6 (b)
    The largest sphere is carved out of a solid cube of side 21 cm. Find the volume of the sphere.

  5. Question 5

    Triangles. Asked once: 2025

    9
    In the adjoining figure, ABCD is a trapezium in which XY∥AB∥CDXY \parallel AB \parallel CD. If AX=23ADAX = \dfrac{2}{3} AD, then CY:YB=CY : YB =

    Tap an option to check your answer.