9th Class Pairing Scheme 2025 (General Science)

1. Consider the universal set \( U = \{x : x \text{ is multiple of 2 and } 0 < x \leq 30\} \) \( A = \{x : x \text{ is a multiple of 6}\} \) \( B = \{x : x \text{ is a multiple of 8}\} \) (i) List all elements of…

1. Find the square root of the following polynomials by factorization method (i) \( x^2 – 8x + 16 \) \[x^2 – 8x + 16 = (x – 4)^2\] \[\sqrt{x^2 – 8x + 16} = x – 4\] (ii) \( 9x^2 + 12x + 4 \) \[9x^2 + 12x + 4 = (3x + 2)^2\]…

1. Write the following sets in set builder notation: (i) \(\{1, 4, 9, 16, 25, 36, \dots, 484\}\) \[\{x \, | \, x = n^2, \, n \in \mathbb{N}, \, 1 \leq n \leq 22\}\] (ii) \(\{2, 4, 8, 16, 32, 64, \dots, 150\}\) \[\{x \, | \, x = 2^n, \, n \in \mathbb{N},…