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CBSE Class 10 Maths Standard board exam 2023 paper with answers · TarkoAI

CBSE

Maths · CBSE

Board exam · Standard

2023Class 10Set 30/1/180 marks38 questions

27 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: CBSE Board Examination 2023, Class 10 Mathematics Standard (041), paper 30/1/1, published by CBSE. CBSE's ZIP of every set

27 questions

Answers

Q2Section A1 mark
$The value of k for which the pair of equations kx = y + 2 and 6x = 2y + 3 has infinitely many solutions,$
1. A $is k = 3$
2. B $does not exist$
3. C $is k = -3$
4. D $is k = 4$
Q3Section A1 mark
$If p - 1, p + 1 and 2p + 3 are in A.P., then the value of p is$
1. A $-2$
2. B $4$
3. C $0$
4. D $2$
Q4Section A1 mark
$In what ratio, does x-axis divide the line segment joining the points A(3, 6) and B(-12, -3) ?$
1. A $1 : 2$
2. B $1 : 4$
3. C $4 : 1$
4. D $2 : 1$
Q6Section A1 mark
$If 2 tan A = 3, then the value of (4 sin A + 3 cos A)/(4 sin A - 3 cos A) is$
1. A $7/\sqrt13$
2. B $1/\sqrt13$
3. C $3$
4. D $does not exist$
Q7Section A1 mark
$If α, β are the zeroes of a polynomial p(x) = x² + x - 1, then 1/α + 1/β equals to$
1. A $1$
2. B $2$
3. C $-1$
4. D $-1/2$
Q8Section A1 mark
$The least positive value of k, for which the quadratic equation 2x² + kx - 4 = 0 has rational roots, is$
1. A $\pm 2\sqrt2$
2. B $2$
3. C $\pm 2$
4. D $\sqrt2$
Q9Section A1 mark
$[3/4 tan² 30° - sec² 45° + sin² 60°] is equal to$
1. A $-1$
2. B $5/6$
3. C $-3/2$
4. D $1/6$
Q10Section A1 mark
$Curved surface area of a cylinder of height 5 cm is 94.2 cm². Radius of the cylinder is (Take π = 3.14)$
1. A $2 cm$
2. B $3 cm$
3. C $2.9 cm$
4. D $6 cm$

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