## 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 = p ^{3}q^{4} and b = p^{2}q^{3}, 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) = px ^{2}- 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**