PYQ Vault

Day 19: MH SSC Class 10 Algebra

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

  1. Question 1

    Probability. This type asked 2 times: Mar 2020, Mar 2022. This one: Mar 2022

    Solve the following subquestions (any four):
    Q2(B)(ii)
    A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick a pen at random. What is the probability that the pen is blue?
  2. Question 2

    Quadratic Equations. This type asked 2 times: Mar 2016, Mar 2022. This one: Mar 2022

    Solve the following subquestions (any two):
    Q4(i)
    If 460 is divided by a natural number, then the quotient is 2 more than nine times the divisor and the remainder is 5. Find the quotient and the divisor.
  3. Question 3

    Arithmetic Progression. This type asked 2 times: Mar 2018, Mar 2020. This one: Mar 2020

    Q2(A)(ii)
    First term and common difference of an A.P. are 6 and 3 respectively. Find S27S_{27}.
  4. Question 4

    Linear Equations in Two Variables. This type asked 2 times: Mar 2016, Mar 2019. This one: Mar 2019

    Q2(B)(ii)
    If ∣45m3∣=22\begin{vmatrix} 4 & 5 \\ m & 3 \end{vmatrix} = 22, then find the value of mm.
  5. Question 5

    Linear Equations in Two Variables. Asked once: Mar 2025 (same type asked 8 times)

    Q3(B)(i)
    Solve the following simultaneous equations by Cramer's rule: 4x+3y=184x + 3y = 18; 3x−2y=53x - 2y = 5.