Maths · Kendriya Vidyalaya

Practice paper · Jabalpur region

2025-26Class 1280 marks38 questions

24 of its 38 questions are here. The rest have a figure or are still being checked, so for now they're only in the official PDF.

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Source: Kendriya Vidyalaya Sangathan: KVS Jabalpur Region, Pre-Board Examination, Set-C, Class XII Session 2025-26, Mathematics (041), Maths, published by KVS. The official PDF

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24 questions

Q1Section A1 mark
$The function f: ℝ \to ℝ defined by f(x) = (x - 1)(x - 2)(x - 3) is$
1. A $One -one but not onto$
2. B $Both one-one and onto$
3. C $Onto but not one-one$
4. D $Neither one-one nor onto$
Q2Section A1 mark
$If A = [0 1; 0 0], then A²⁰²⁵ is equal to$
1. A $[0 1; 0 0]$
2. B $[0 0; 0 0]$
3. C $[0 2025; 0 0]$
4. D $None of these$
Q3Section A1 mark
$If A and B are square matrices of order 3 such that AB = 6I and |A| = 18, then |B| equals$
1. A $12$
2. B $6$
3. C $18$
4. D $3$
Q5Section A1 mark
$The derivative of cos⁻¹ (1 - 2x²) w. r. t sin⁻¹ x is$
1. A $1/x$
2. B $1/\sqrt(1 - x²)$
3. C $2$
4. D $None of these$
Q6Section A1 mark
$If matrix A = [1 -1; -1 1] and A² = kA, then the value of k is$
1. A $1$
2. B $-2$
3. C $-1$
4. D $2$
Q7Section A1 mark
$The sides of an equilateral triangle is increasing at a rate of 2cm/sec. The rate at which area increases, when side is 10cm is$
1. A $100cm²/sec$
2. B $\sqrt3cm²/sec$
3. C $10cm²/sec$
4. D $10\sqrt3cm²/sec$
Q8Section A1 mark
$The area bounded by the curve y = x³, the x-axis and the ordinates x = -1 and x = 1 is$
1. A $1/3$
2. B $2/3$
3. C $1/2$
4. D $1/4$
Q9Section A1 mark
$\int 4ˣ 3ˣ dx equals$
1. A $4ˣ/log 4 + c$
2. B $12ˣ/log 12 + c$
3. C $4ˣ \cdot 3ˣ/(log 4 log 3) + c$
4. D $3ˣ/log 3 + c$