Sample Paper for Class 10 Mathematics 2023 Pdf
Students can refer to the below Class 10 Mathematics Sample Paper designed to help students understand the pattern of questions that will be asked in Grade 10 exams. Please download CBSE Class 10 Mathematics Standard Sample Paper 2023
Mathematics Class 10 Sample Paper 2023
SECTION A
Section A consists of 20 questions of 1 mark each.
MARKS
1 Let a and b be two positive integers such that a = p3q4 and b = p2q3, where p and q are prime numbers. If HCF(a,b) = pmqn and LCM(a,b) = prqs , then (m+n)(r+s)=
(a) 15
(b) 30
(c) 35
(d) 72
Answer : C
2 Let p be a prime number. The quadratic equation having its roots as factors of p is
(a) x2-px +p=0
(b) x2-(p+1)x +p=0
(c) x2+(p+1)x +p=0
(d) x2-px+p+1=0
Answer : B
3 If α and β are the zeros of a polynomial f(x) = px2- 2x + 3p and α + β = αβ, then p is
(a)-2/3
(b) 2/3
(c) 1/3
(d) -1/3
Answer : B
4 If the system of equations 3x+y =1 and (2k-1)x +(k-1)y =2k+1 is inconsistent, then k =
(a) -1
(b) 0
(c) 1
(d) 2
Answer : D
5 If the vertices of a parallelogram PQRS taken in order are P(3,4), Q(-2,3) and R(-3,-2),then the coordinates of its fourth vertex S are
(a) (-2,-1)
(b) (-2,-3)
(c) (2,-1)
(d) (1,2)
Answer : C
6 ∆ABC~∆PQR. If AM and PN are altitudes of ∆ABC and ∆PQR respectively and AB2 : PQ2 = 4 : 9, then AM: PN =
(a) 3:2
(b) 16:81
(c) 4:9
(d) 2:3
Answer : D
7 If x tan 60° cos 60°= sin60°cot 60°, then x =
(a) cos30°
(b) tan30°
(c) sin30°
(d) cot30°
Answer : B
8 If sinθ + cosθ = √2, then tanθ + cot θ =
(a) 1
(b) 2
(c) 3
(d) 4
Answer : B
9 In the given figure, DE ∥ BC, AE = a units, EC =b units, DE =x units and BC = y units. Which of the following is true?
Answer : C
10 ABCD is a trapezium with AD ∥ BC and AD = 4cm. If the diagonals AC and BD intersect each other at O such that AO/OC = DO/OB =1/2, then BC =
(a) 6cm
(b) 7cm
(c) 8cm
(d) 9cm
Answer : C