PYQ Vault

Day 72: CBSE Class 10 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Statistics. Asked once: 2026 (same type asked 4 times)

    33 (a)
    The mean of the following distribution is 53. Find the missing frequency p.
    Class Interval0 – 2020 – 4040 – 6060 – 8080 – 100
    Frequency1215p2813
    Hence, find mode of the distribution.

  2. Question 2

    Surface Areas and Volumes. Asked once: 2025 (same type asked 4 times)

    12
    If the volumes of two cubes are in the ratio 8 : 125, then the ratio of their surface areas is :

    Tap an option to check your answer.

  3. Question 3

    Triangles. Asked once: 2026 (same type asked 4 times)

    22 (b)
    In the given figure, XY∥QRXY \parallel QR, PQXQ=73\dfrac{PQ}{XQ} = \dfrac{7}{3} and PR = 6⋅36{\cdot}3 cm. Find the length of YR.

  4. Question 4

    Triangles. Asked once: 2025 (same type asked 4 times)

    33 (a)
    The diagonal BD of a parallelogram ABCD intersects the line segment AE at the point F, where E is any point on the side BC. Prove that DF×EF=FB×FADF \times EF = FB \times FA.

  5. Question 5

    Quadratic Equations. Asked once: 2025 (same type asked 4 times)

    32 (b)
    Find the value(s) of p for which the quadratic equation given as (p+4)x2−(p+1)x+1=0(p + 4)x^2 - (p + 1)x + 1 = 0 has real and equal roots. Also, find the roots of the equation(s) so obtained.