Maths · Kendriya Vidyalaya

Practice paper · Standard, Bengaluru region

2025-26Class 1080 marks38 questions

23 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 Bengaluru Region, PB1 QP / MS, X Maths STD (041) 2025-26, SET1, Maths, published by KVS. The official PDF

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23 questions

Q1Section A1 mark
$Let a and b be two positive integers such that a = p⁴q⁵ and b = p³q⁴, where p and q are prime numbers. If HCF(a,b) = pᵐqⁿ and LCM(a,b) = pʳqˢ, then (m+n)(r+s) =$
1. A $15$
2. B $30$
3. C $63$
4. D $72$
Q3Section A1 mark
$If one zero of the polynomials (ax²+ bx + c) is the reciprocal of the other, and (a \neq 0), then which of the following must be true?$
1. A $b = c$
2. B $b² = 4ac$
3. C $a = 0$
4. D $a = c$
Q4Section A1 mark
$The perimeters of two similar triangles are 25cm and 15 cm respectively. One side of the first triangle is 10 cm. The length of the corresponding side of the second triangle is$
1. A $4 cm$
2. B $5 cm$
3. C $6 cm$
4. D $10 cm$
Q5Section A1 mark
$Sunny and Rohan were playing a number game. Sunny asked Rohan to find out two numbers such that the sum of the number and its reciprocal is ⁶⁵⁄₈. Help Rohan find the numbers.$
1. A $4, ¼$
2. B $8, ⅛$
3. C $2, ½$
4. D $6, ⅙$
Q6Section A1 mark
$The mid-point of the line segment joining the points P(4, 5) and Q(4, 6) lies on:$
1. A $x-axis$
2. B $y-axis$
3. C $origin$
4. D $neither x-axis nor y-axis$
Q7Section A1 mark
$The value of cos1°. cos2°. cos3°. cos4° . . . . . . . . . . .. .cos90° is$
1. A $1$
2. B $0$
3. C $- 1$
4. D $2$
Q8Section A1 mark
$The least number which is a perfect square and is divisible by each of 16, 20 and 50, is :$
1. A $1200$
2. B $100$
3. C $3600$
4. D $2400$
Q9Section A1 mark
$In a cricket match, a batsman hits the boundary 7 times out of the 42 balls he plays. The probability of his not hitting a boundary is :$
1. A $⅙$
2. B $⅐$
3. C $⅚$
4. D $⅚$