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CBSE Class 10 Sample / Model Paper 2023 : Mathematics : Maths Question Paper

23 pages, 106 questions, 0 questions with responses, 0 total responses,

Rai Venugopal
St. Joseph's Public School (SJPS), King Koti, Hyderabad

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Class- X Session- 2022-23 Subject- Mathematics (Standard) Sample Question Paper Time Allowed: 3 Hrs. Maximum Marks : 80 General Instructions: 1. 2. 3. 4. 5. 6. This Question Paper has 5 Sections A-E. Section A has 20 MCQs carrying 1 mark each Section B has 5 questions carrying 02 marks each. Section C has 6 questions carrying 03 marks each. Section D has 4 questions carrying 05 marks each. Section E has 3 case based integrated units of assessment (04 marks each) with subparts of the values of 1, 1 and 2 marks each respectively. 7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of 2 marks has been provided. An internal choice has been provided in the 2marks questions of Section E 8. Draw neat figures wherever required. Take =22/7 wherever required if not stated. SECTION A Section A consists of 20 questions of 1 mark each. S.NO . 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 MA RKS 1 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 1 3 If and are the zeros of a polynomial f(x) = px2 2x + 3p and + = , then p is 1 (a)-2/3 (b) 2/3 (c) 1/3 (d) -1/3 4 If the system of equations 3x+y =1 and (2k-1)x +(k-1)y =2k+1 is inconsistent, then k = 1 (a) -1 (b) 0 (c) 1 (d) 2 5 If the vertices of a parallelogram PQRS taken in order are P(3,4), Q(-2,3) and R(-3,-2), 1 then the coordinates of its fourth vertex S are (a) (-2,-1) (b) (-2,-3) (c) (2,-1) (d) (1,2) 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 1

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