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Maths 1

maths sample paper

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47 views7 pages

Maths 1

maths sample paper

Uploaded by

neeralakshmi.katti
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
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CHENNAI SAHODAYA SCHOOL COMPLEX COMMON EXAMINATION CLASS 10- SET 1 MATHEMATICS STANDARD (041) Roll No. Max Marks : 80 Date: 03/01/25 Max Time : 3 hr General Instructions: * Check tha is question paper contains 07 printed pages * Check that this question paper contains 38 questions: * Write down the serial number of the question before attempting it * Reading time of 15 minutes is given to read the question paper. No writing is permitted during. this time 1. This Question Paper has 5 Sections A, B, C, D and E. 2. Section A has 20 MCQs carrying 1 mark each 3, Section B has 5 questions carrying 02 marks each. 4, Section C has 6 questions carrying 03 marks each 5. Section D has 4 questions carrying 05 marks each. 6, Section E has 3 case based integrated units of assessment (04 marks each) with sub- parts ofthe values of 1, | and 2 marks each respective 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 x =22/7 wherever required ifnot stated. SECTION A 1, If and f are the zeros of the polynomial x*~ 6x +k and 3a +2 =20, then the value of k is a) -8 ») 16 16 dB 2. Two Aps have the same common difference . The first term of one of these is 8 and that of the other is 3. The difference between their 30 terms is a) »)3 os as 3. Which of the following is not a quadratic equation ? a) 3(x+1)? <2 ox +4 b) Sx +27 = x49 e) (P= 2naxt+3-42— d) (V2x+V3)°= 20 -3x “4. The distance between the points (a cos 25° , 0) and ( 0 a sin 25°) is a) tba) 0 A)cost25¢+ sin? 25° 5, Inthe fig, PORS is a parallelogram, if AT = AQ= 6 em, AS=3em and TS = 4 em, then 6. Inthe fig, AB = BE = 10.em, IFAC = 7em, then the length of HP is y ‘ 7 t 4) 35om by7em 65cm a) Sem 7. Two circles touch externally at C and AB isa common tangent to the circles, Then ZACB 4) 6" py ase ©) 30" a) 9" 8 Im the fig, D is the midpoint of BC, then the value of Se 92 OK con. da 9. Wtan’45® cos! 30" = p sin?4S° cos 245% then p= a1 ot ot ae 10. The rato ofthe length ofa rod and its shadow is 1: YB, The angle of elevation ofthe sun is 9) 30° 45° 60" ay 90° 11-1 the perimeter ofa semi circular protractor is 36 em, then its diameter is 8) Wem b) I2em 6) Idem d) 16cm 12 the ratio ofthe areas of two ctces i 25:16, then the ratio oftheir circumferences is 9) 16:25 4:5 5:4 4)625:256 13. The maximum, ‘volume ofa cone that can be carved out ofa solid hemisphere of radius ris oe wy gay ane 4, the difference of mode and median ofa data is 24, then the difference of median and mean is a) 12 b) 24 os d) 36 15. The probability of getting a bad apple ina box of 400 apples is 0 of bad apples is a7 14 ar dae 16. The probability tht a number selected at random from the nu multiple of 4is 9; UE eee "7, ABC ssc hat AB=3em, BC=?2cm and CA = 25 em, then perimeter of ADEF is a = 4 a) 7Sem —b) 1Sem c)22.5 cm 18, The ratio of LCM and HCF of the| a) 1:2 BQ: ets dy 19, Directions: (0) Both Asserion and Reason are coreet and Reason isthe eoreet explanation of Assertion (b) Both Assertion and Reason are correct, but Reason is not the correet explanation ofassertion (©) Assertion is correct but Reason is incorrect. (a) Assertion is incorrect but Reason is correct Assertion: HCF of two positive integers is always af Reason: Ever of primes, except for the order fctor of theit LCM. be uniquely expressed as the product of powers ‘composite mumber ea 20, Directions: (@) Both Assertion and Reason are correct and Reason isthe correct explanation of Assertion. (b) Both Assertion and Reason are correct, but Reason is not t! Assertion, (c)Assertion is correct but Reason is incorrect. (a) Assertion is incorrect but Reason is correct ‘Assertion: Two similar triangles are always congruent the correct explanation of Reason: Two congruent triangles are always similar SECTION B 21. For what value of k will the equation pair of equations 5 (2k-1)x+(k— Dy=2k+ 1 have no solution 22, A rectangular courtyard is 32m long and I6em broad It is to be paved with square sles of the same size. Find the least possible number of such tiles [RI Prove that 5 - V7 is irational, given that V7 is irrational . 93, Two dice are rolled together bearing numbers 4, 6, 7,9, 11, 12. Find the probability thatthe product of numbers obtained is an odd number. [RI sitive three-digit integers have the hundredths digit 8 and unit's digit S? How many pos Find the probability of selecting one such number out of all tree digit numbers. 94, Ireos(X + ¥) = 0 and sin(X— Y) = then find the values of X and Y , where X and Y are acute angles 25. Find the point(s) onthe xanis which sata distance of V1 unis fom the point (8-5) SECTION C jl ky? +2y — 3k is equal to twice their 26. If the sum of the zeros of the quadratic polyno product, find the value of k (secAntan AH 28, fone ofthe diagonals of a trapezium divides the other diagonal in the ratio ‘one ofthe parallel sides is twice the other {OR] Ina triangle PQR, L and M are two points on the base QR, such that

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