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 Page 1


30/1 1 [P.T.O. 
 
 
 
 
 
Roll No. 
 
 
 
 
????
MATHEMATICS  
 
3 80
Time allowed : 3 hours Maximum Marks : 80 
 Series : TYM 
Code No.  
 
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ????  11  ?? ? 
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ? 
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ? 
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ? 
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15 
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ?? 
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ? 
? Please check that this question paper contains  11 printed pages. 
? Code number given on the right hand side of the question paper should be written on 
the title page of the answer-book by the candidate. 
? Please check that this question paper contains 30 questions. 
? Please write down the Serial Number of the question before attempting it. 
? 15 minute time has been allotted to read this question paper. The question paper will 
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the 
question paper only and will not write any answer on the answer-book during this 
period. 
??????? ???? ??? ???-??????? ?? ???-???? 
?? ???? ???? ? 
Candidates must write the Code on 
the title page of the answer-book. 
 
SET – 1 
Page 2


30/1 1 [P.T.O. 
 
 
 
 
 
Roll No. 
 
 
 
 
????
MATHEMATICS  
 
3 80
Time allowed : 3 hours Maximum Marks : 80 
 Series : TYM 
Code No.  
 
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ????  11  ?? ? 
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ? 
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ? 
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ? 
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15 
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ?? 
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ? 
? Please check that this question paper contains  11 printed pages. 
? Code number given on the right hand side of the question paper should be written on 
the title page of the answer-book by the candidate. 
? Please check that this question paper contains 30 questions. 
? Please write down the Serial Number of the question before attempting it. 
? 15 minute time has been allotted to read this question paper. The question paper will 
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the 
question paper only and will not write any answer on the answer-book during this 
period. 
??????? ???? ??? ???-??????? ?? ???-???? 
?? ???? ???? ? 
Candidates must write the Code on 
the title page of the answer-book. 
 
SET – 1 
30/1 2  
?????? ????? :  
 (i) ??? ??? ??????? ?? ?  
 (ii) ?? ???-?? ?? 30 ??? ?? ??? ??? ????? – ?, ?, ? ???? ? ?? ??????? ?? ? 
 (iii) ??? ? ?? ??-?? ??? ???? 6 ??? ?? ? ??? ? ?? 6 ??? ?? ????? ?? ????? 2 ??? ?? ?? ?    
??? ? ?? 10 ??? ???-??? ????? ?? ?? ? ??? ? ?? 8 ??? ?? ????? ?? ????? 4 ??? ?? ?? ? 
 (iv) ???-?? ?? ????? ??? ????? ??? ?? ? ????? 3 ????? ???? 4 ????? ?? ???? 4 ????? ???? 3 ????? ?? 
??????? ????? ???? ??? ?? ?? ? ???? ????? ?? ?????? ??? ?? ??????? ?? ?? ???? ?? ??? ?? 
???? ?? ? 
 (v) ????????? ?? ????? ?? ?????? ??? ?? ? 
General Instructions :   
 (i) All questions are compulsory. 
 (ii) This question paper consists of 30 questions divided into four sections – A, B, C    
and D.  
 (iii) Section A contains 6 questions of 1 mark each. Section B contains 6 questions of      
2 marks each, Section C contains 10 questions of 3 marks each.  Section D contains 
8 questions of 4 marks each. 
 (iv) There is no overall choice. However, an internal choice has been provided in four 
questions of 3 marks each and 3 questions of 4 marks each. You have to attempt only 
one of the alternatives in all such questions.  
 (v) Use of calculator is not permitted. 
   
??? – ?
SECTION – A 
  
??? ????? 1 ?? 6 ?? ????? ??? 1 ??? ?? ?? ?
 Question numbers 1 to 6 carry 1 mark each. 
 
1. ??? x = 3, ??????? ?????? x
2
 – 2kx – 6 = 0 ?? ?? ??? ??, ??? k ?? ??? ??? ????? ? 
 If x = 3 is one root of the quadratic equation x
2
 – 2kx – 6 = 0, then find the value of k. 
 
Page 3


30/1 1 [P.T.O. 
 
 
 
 
 
Roll No. 
 
 
 
 
????
MATHEMATICS  
 
3 80
Time allowed : 3 hours Maximum Marks : 80 
 Series : TYM 
Code No.  
 
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ????  11  ?? ? 
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ? 
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ? 
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ? 
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15 
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ?? 
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ? 
? Please check that this question paper contains  11 printed pages. 
? Code number given on the right hand side of the question paper should be written on 
the title page of the answer-book by the candidate. 
? Please check that this question paper contains 30 questions. 
? Please write down the Serial Number of the question before attempting it. 
? 15 minute time has been allotted to read this question paper. The question paper will 
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the 
question paper only and will not write any answer on the answer-book during this 
period. 
??????? ???? ??? ???-??????? ?? ???-???? 
?? ???? ???? ? 
Candidates must write the Code on 
the title page of the answer-book. 
 
SET – 1 
30/1 2  
?????? ????? :  
 (i) ??? ??? ??????? ?? ?  
 (ii) ?? ???-?? ?? 30 ??? ?? ??? ??? ????? – ?, ?, ? ???? ? ?? ??????? ?? ? 
 (iii) ??? ? ?? ??-?? ??? ???? 6 ??? ?? ? ??? ? ?? 6 ??? ?? ????? ?? ????? 2 ??? ?? ?? ?    
??? ? ?? 10 ??? ???-??? ????? ?? ?? ? ??? ? ?? 8 ??? ?? ????? ?? ????? 4 ??? ?? ?? ? 
 (iv) ???-?? ?? ????? ??? ????? ??? ?? ? ????? 3 ????? ???? 4 ????? ?? ???? 4 ????? ???? 3 ????? ?? 
??????? ????? ???? ??? ?? ?? ? ???? ????? ?? ?????? ??? ?? ??????? ?? ?? ???? ?? ??? ?? 
???? ?? ? 
 (v) ????????? ?? ????? ?? ?????? ??? ?? ? 
General Instructions :   
 (i) All questions are compulsory. 
 (ii) This question paper consists of 30 questions divided into four sections – A, B, C    
and D.  
 (iii) Section A contains 6 questions of 1 mark each. Section B contains 6 questions of      
2 marks each, Section C contains 10 questions of 3 marks each.  Section D contains 
8 questions of 4 marks each. 
 (iv) There is no overall choice. However, an internal choice has been provided in four 
questions of 3 marks each and 3 questions of 4 marks each. You have to attempt only 
one of the alternatives in all such questions.  
 (v) Use of calculator is not permitted. 
   
??? – ?
SECTION – A 
  
??? ????? 1 ?? 6 ?? ????? ??? 1 ??? ?? ?? ?
 Question numbers 1 to 6 carry 1 mark each. 
 
1. ??? x = 3, ??????? ?????? x
2
 – 2kx – 6 = 0 ?? ?? ??? ??, ??? k ?? ??? ??? ????? ? 
 If x = 3 is one root of the quadratic equation x
2
 – 2kx – 6 = 0, then find the value of k. 
 
30/1 3 [P.T.O. 
2.  ????? ?? ????? ????? ????? ??? ????? ?? ????? ???? ????? ?? ?.?. (HCF) ??? ?? ? 
 What is the HCF of smallest prime number and the smallest composite number ?  
 
3.  ?? ????? P(x, y) ?? ??? ????? ?? ???? ??? ????? ? 
 Find the distance of a point P(x, y) from the origin.  
 
4.  ??? ?? ?????? ???? ?? ????-???? (d) = – 4 ??? ?????? ?? (a
7
) = 4 ??, ??? ???? ?? ??? ?? ??? 
????? ? 
 In an AP, if the common difference (d) = –4, and the seventh term (a
7
) is 4, then find the 
first term. 
 
5.  (cos
2
 67° – sin
2
 23°) ?? ??? ??? ?? ? 
 What is the value of (cos
2
 67° – sin
2
 23°) ? 
 
6.  ???? ?? ?? ? ABC ~ ? PQR ??, ??? 
AB
PQ
 = 
1
3
 ??, ??? 
????? ? ?ABC
????? ? ?PQR
  ??? ????? ? 
 Given ? ABC ~ ? PQR, if  
AB
PQ
 = 
1
3
, then find 
ar ? ?ABC
ar ? ?PQR
 .  
 
??? – ?
SECTION – B 
  
??? ????? 7 ?? 12 ?? ????? ??? 2 ??? ?? ?? ?
 Question numbers 7 to 12 carry 2 marks each. 
 
7. ???? ?? ?? 2 ??????? ????? ??, ??? ??? ????? ?? (5 + 3 2) ?? ??????? ????? ?? ? 
 Given that 2 is irrational,  prove that (5 + 3 2) is an irrational number. 
Page 4


30/1 1 [P.T.O. 
 
 
 
 
 
Roll No. 
 
 
 
 
????
MATHEMATICS  
 
3 80
Time allowed : 3 hours Maximum Marks : 80 
 Series : TYM 
Code No.  
 
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ????  11  ?? ? 
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ? 
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ? 
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ? 
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15 
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ?? 
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ? 
? Please check that this question paper contains  11 printed pages. 
? Code number given on the right hand side of the question paper should be written on 
the title page of the answer-book by the candidate. 
? Please check that this question paper contains 30 questions. 
? Please write down the Serial Number of the question before attempting it. 
? 15 minute time has been allotted to read this question paper. The question paper will 
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the 
question paper only and will not write any answer on the answer-book during this 
period. 
??????? ???? ??? ???-??????? ?? ???-???? 
?? ???? ???? ? 
Candidates must write the Code on 
the title page of the answer-book. 
 
SET – 1 
30/1 2  
?????? ????? :  
 (i) ??? ??? ??????? ?? ?  
 (ii) ?? ???-?? ?? 30 ??? ?? ??? ??? ????? – ?, ?, ? ???? ? ?? ??????? ?? ? 
 (iii) ??? ? ?? ??-?? ??? ???? 6 ??? ?? ? ??? ? ?? 6 ??? ?? ????? ?? ????? 2 ??? ?? ?? ?    
??? ? ?? 10 ??? ???-??? ????? ?? ?? ? ??? ? ?? 8 ??? ?? ????? ?? ????? 4 ??? ?? ?? ? 
 (iv) ???-?? ?? ????? ??? ????? ??? ?? ? ????? 3 ????? ???? 4 ????? ?? ???? 4 ????? ???? 3 ????? ?? 
??????? ????? ???? ??? ?? ?? ? ???? ????? ?? ?????? ??? ?? ??????? ?? ?? ???? ?? ??? ?? 
???? ?? ? 
 (v) ????????? ?? ????? ?? ?????? ??? ?? ? 
General Instructions :   
 (i) All questions are compulsory. 
 (ii) This question paper consists of 30 questions divided into four sections – A, B, C    
and D.  
 (iii) Section A contains 6 questions of 1 mark each. Section B contains 6 questions of      
2 marks each, Section C contains 10 questions of 3 marks each.  Section D contains 
8 questions of 4 marks each. 
 (iv) There is no overall choice. However, an internal choice has been provided in four 
questions of 3 marks each and 3 questions of 4 marks each. You have to attempt only 
one of the alternatives in all such questions.  
 (v) Use of calculator is not permitted. 
   
??? – ?
SECTION – A 
  
??? ????? 1 ?? 6 ?? ????? ??? 1 ??? ?? ?? ?
 Question numbers 1 to 6 carry 1 mark each. 
 
1. ??? x = 3, ??????? ?????? x
2
 – 2kx – 6 = 0 ?? ?? ??? ??, ??? k ?? ??? ??? ????? ? 
 If x = 3 is one root of the quadratic equation x
2
 – 2kx – 6 = 0, then find the value of k. 
 
30/1 3 [P.T.O. 
2.  ????? ?? ????? ????? ????? ??? ????? ?? ????? ???? ????? ?? ?.?. (HCF) ??? ?? ? 
 What is the HCF of smallest prime number and the smallest composite number ?  
 
3.  ?? ????? P(x, y) ?? ??? ????? ?? ???? ??? ????? ? 
 Find the distance of a point P(x, y) from the origin.  
 
4.  ??? ?? ?????? ???? ?? ????-???? (d) = – 4 ??? ?????? ?? (a
7
) = 4 ??, ??? ???? ?? ??? ?? ??? 
????? ? 
 In an AP, if the common difference (d) = –4, and the seventh term (a
7
) is 4, then find the 
first term. 
 
5.  (cos
2
 67° – sin
2
 23°) ?? ??? ??? ?? ? 
 What is the value of (cos
2
 67° – sin
2
 23°) ? 
 
6.  ???? ?? ?? ? ABC ~ ? PQR ??, ??? 
AB
PQ
 = 
1
3
 ??, ??? 
????? ? ?ABC
????? ? ?PQR
  ??? ????? ? 
 Given ? ABC ~ ? PQR, if  
AB
PQ
 = 
1
3
, then find 
ar ? ?ABC
ar ? ?PQR
 .  
 
??? – ?
SECTION – B 
  
??? ????? 7 ?? 12 ?? ????? ??? 2 ??? ?? ?? ?
 Question numbers 7 to 12 carry 2 marks each. 
 
7. ???? ?? ?? 2 ??????? ????? ??, ??? ??? ????? ?? (5 + 3 2) ?? ??????? ????? ?? ? 
 Given that 2 is irrational,  prove that (5 + 3 2) is an irrational number. 
30/1 4  
8.  ??????-1 ??, ABCD ?? ???? ?? ? x ??? y ?? ??? ??? ????? ? 
     
                          ?????? - 1 
 In Fig. 1, ABCD is a rectangle. Find the values of x and y. 
  
   
                                              Fig. – 1 
 
 
9.  3 ?? ??? 8 ?????? ?? ???? ??? ????? ? 
 Find the sum of first 8 multiples of 3.  
 
10.  ?? ?????? ??? ????? ????? ?????  P(4, m), ???????? A(2, 3) ??? B(6, –3) ??? ?????? ???? 
??????? ??? ??????? ???? ?? ? ??? m ?? ??? ??? ????? ? 
 Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and  
B(6, –3). Hence find m. 
 
11.  ??? ?????? ????? ??? ?? ??? ????? ??? ? ???? ?? ???? ?? ??????? ??? ????? ? 
 (i) ?? ??? ???? ? 
 (ii) ?????? ????? ?? ???? ???????? ?? ???? 10 ???? ? 
 Two different dice are tossed together. Find the probability : 
 (i) of getting a doublet 
 (ii) of getting a sum 10, of the numbers on the two dice. 
Page 5


30/1 1 [P.T.O. 
 
 
 
 
 
Roll No. 
 
 
 
 
????
MATHEMATICS  
 
3 80
Time allowed : 3 hours Maximum Marks : 80 
 Series : TYM 
Code No.  
 
30/1
? ????? ???? ?? ?? ?? ?? ???-?? ?? ????? ????  11  ?? ? 
? ???-?? ?? ?????? ??? ?? ???? ??? ?? ???? ???? ??? ??? ???-??????? ?? ???-???? ?? ???? ? 
? ????? ???? ?? ?? ?? ?? ???-?? ?? 30 ??? ?? ? 
? ????? ??? ?? ??? ????? ??? ???? ?? ????, ??? ?? ????? ???? ???? ? 
? ?? ???-?? ??? ???? ?? ??? 15 ???? ?? ??? ???? ??? ?? ? ???-?? ?? ????? ?????? ?? 10.15 
??? ???? ????? ? 10.15 ??? ?? 10.30 ??? ?? ??? ???? ???-?? ??? ????? ???? ?? ???? ?? 
?????? ?? ???-??????? ?? ????? ??? ??? ?????? ? 
? Please check that this question paper contains  11 printed pages. 
? Code number given on the right hand side of the question paper should be written on 
the title page of the answer-book by the candidate. 
? Please check that this question paper contains 30 questions. 
? Please write down the Serial Number of the question before attempting it. 
? 15 minute time has been allotted to read this question paper. The question paper will 
be distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the 
question paper only and will not write any answer on the answer-book during this 
period. 
??????? ???? ??? ???-??????? ?? ???-???? 
?? ???? ???? ? 
Candidates must write the Code on 
the title page of the answer-book. 
 
SET – 1 
30/1 2  
?????? ????? :  
 (i) ??? ??? ??????? ?? ?  
 (ii) ?? ???-?? ?? 30 ??? ?? ??? ??? ????? – ?, ?, ? ???? ? ?? ??????? ?? ? 
 (iii) ??? ? ?? ??-?? ??? ???? 6 ??? ?? ? ??? ? ?? 6 ??? ?? ????? ?? ????? 2 ??? ?? ?? ?    
??? ? ?? 10 ??? ???-??? ????? ?? ?? ? ??? ? ?? 8 ??? ?? ????? ?? ????? 4 ??? ?? ?? ? 
 (iv) ???-?? ?? ????? ??? ????? ??? ?? ? ????? 3 ????? ???? 4 ????? ?? ???? 4 ????? ???? 3 ????? ?? 
??????? ????? ???? ??? ?? ?? ? ???? ????? ?? ?????? ??? ?? ??????? ?? ?? ???? ?? ??? ?? 
???? ?? ? 
 (v) ????????? ?? ????? ?? ?????? ??? ?? ? 
General Instructions :   
 (i) All questions are compulsory. 
 (ii) This question paper consists of 30 questions divided into four sections – A, B, C    
and D.  
 (iii) Section A contains 6 questions of 1 mark each. Section B contains 6 questions of      
2 marks each, Section C contains 10 questions of 3 marks each.  Section D contains 
8 questions of 4 marks each. 
 (iv) There is no overall choice. However, an internal choice has been provided in four 
questions of 3 marks each and 3 questions of 4 marks each. You have to attempt only 
one of the alternatives in all such questions.  
 (v) Use of calculator is not permitted. 
   
??? – ?
SECTION – A 
  
??? ????? 1 ?? 6 ?? ????? ??? 1 ??? ?? ?? ?
 Question numbers 1 to 6 carry 1 mark each. 
 
1. ??? x = 3, ??????? ?????? x
2
 – 2kx – 6 = 0 ?? ?? ??? ??, ??? k ?? ??? ??? ????? ? 
 If x = 3 is one root of the quadratic equation x
2
 – 2kx – 6 = 0, then find the value of k. 
 
30/1 3 [P.T.O. 
2.  ????? ?? ????? ????? ????? ??? ????? ?? ????? ???? ????? ?? ?.?. (HCF) ??? ?? ? 
 What is the HCF of smallest prime number and the smallest composite number ?  
 
3.  ?? ????? P(x, y) ?? ??? ????? ?? ???? ??? ????? ? 
 Find the distance of a point P(x, y) from the origin.  
 
4.  ??? ?? ?????? ???? ?? ????-???? (d) = – 4 ??? ?????? ?? (a
7
) = 4 ??, ??? ???? ?? ??? ?? ??? 
????? ? 
 In an AP, if the common difference (d) = –4, and the seventh term (a
7
) is 4, then find the 
first term. 
 
5.  (cos
2
 67° – sin
2
 23°) ?? ??? ??? ?? ? 
 What is the value of (cos
2
 67° – sin
2
 23°) ? 
 
6.  ???? ?? ?? ? ABC ~ ? PQR ??, ??? 
AB
PQ
 = 
1
3
 ??, ??? 
????? ? ?ABC
????? ? ?PQR
  ??? ????? ? 
 Given ? ABC ~ ? PQR, if  
AB
PQ
 = 
1
3
, then find 
ar ? ?ABC
ar ? ?PQR
 .  
 
??? – ?
SECTION – B 
  
??? ????? 7 ?? 12 ?? ????? ??? 2 ??? ?? ?? ?
 Question numbers 7 to 12 carry 2 marks each. 
 
7. ???? ?? ?? 2 ??????? ????? ??, ??? ??? ????? ?? (5 + 3 2) ?? ??????? ????? ?? ? 
 Given that 2 is irrational,  prove that (5 + 3 2) is an irrational number. 
30/1 4  
8.  ??????-1 ??, ABCD ?? ???? ?? ? x ??? y ?? ??? ??? ????? ? 
     
                          ?????? - 1 
 In Fig. 1, ABCD is a rectangle. Find the values of x and y. 
  
   
                                              Fig. – 1 
 
 
9.  3 ?? ??? 8 ?????? ?? ???? ??? ????? ? 
 Find the sum of first 8 multiples of 3.  
 
10.  ?? ?????? ??? ????? ????? ?????  P(4, m), ???????? A(2, 3) ??? B(6, –3) ??? ?????? ???? 
??????? ??? ??????? ???? ?? ? ??? m ?? ??? ??? ????? ? 
 Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and  
B(6, –3). Hence find m. 
 
11.  ??? ?????? ????? ??? ?? ??? ????? ??? ? ???? ?? ???? ?? ??????? ??? ????? ? 
 (i) ?? ??? ???? ? 
 (ii) ?????? ????? ?? ???? ???????? ?? ???? 10 ???? ? 
 Two different dice are tossed together. Find the probability : 
 (i) of getting a doublet 
 (ii) of getting a sum 10, of the numbers on the two dice. 
30/1 5 [P.T.O. 
12.  1 ???? 100 ?? ??? ?? ???????? ?? ?? ??????? ?? ????? ???? ??? ? ??????? ??? ????? ?? ?? 
????? 
 (i) 8 ?? ???? ?? ? 
 (ii) 8 ?? ???? ??? ?? ? 
 An integer is chosen at random between 1 and 100. Find the probability that it is : 
 (i) divisible by 8. 
 (ii) not divisible by 8. 
 
??? – ?
SECTION – C 
  
??? ????? 13 ?? 22 ?? ????? ??? 3 ??? ?? ?? ?
 Question numbers 13 to 22 carry 3 marks each. 
 
13. 404 ??? 96 ?? ?.?. (HCF) ??? ?.?. (LCM) ??? ????? ??? ???? ?? ?????? ????? ? 
 HCF ? LCM = ?????? ?? ??? ???????? ?? ?????? 
 Find HCF and LCM of 404 and 96 and verify that HCF ? LCM = Product of the two 
given numbers.  
 
14. ??? ???? (2x
4
 – 9x
3
 + 5x
2
 + 3x – 1) ?? ??? ????? (2 + 3) ??? (2 – 3) ?? ??? ???? ??? 
????? ??? ????? ? 
 Find all zeroes of the polynomial (2x
4
 – 9x
3
 + 5x
2
 + 3x – 1) if two of its zeroes are             
(2 + 3) and (2 – 3).  
 
15. ??? A(–2, 1), B(a, 0), C(4, b) ??? D(1, 2) ?? ?????? ??????? ABCD ?? ???? ????? ??, ??? a ??? 
b ?? ??? ??? ????? ? ??? ?? ??????? ?? ??????? ?? ???????? ??? ????? ?  
???? 
 ??? A(–5, 7), B(– 4, –5), C(–1, – 6) ??? D(4, 5) ?? ??????? ABCD ?? ???? ????? ??, ??? ??????? 
ABCD ?? ????? ??? ????? ? 
 If A(–2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD, find 
the values of a and b. Hence find the lengths of its sides.   
OR 
 If A(–5, 7), B(–4, –5), C(–1, –6) and D(4, 5) are the vertices of a quadrilateral, find the 
area of the quadrilateral ABCD. 
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FAQs on Class 10 Mathematics: Question Paper for 2018 - Mathematics (Maths) Class 10

1. What is the importance of solving previous year question papers?
Ans. Solving previous year question papers is important as it helps students understand the exam pattern, marking scheme, and the types of questions that can be asked in the exam. It also helps in identifying the important topics and areas of improvement, allowing students to focus their preparation accordingly.
2. How can I effectively manage my time while solving the mathematics question paper?
Ans. Time management is crucial during the exam. To effectively manage your time, divide it equally among all the questions. Start with the ones you find easy and quickly move on to the difficult ones. If you find yourself spending too much time on a particular question, skip it and come back to it later. Also, avoid spending too much time on calculations and focus on understanding the problem-solving techniques.
3. Are there any specific tips for solving geometry questions in the mathematics question paper?
Ans. Yes, here are a few tips for solving geometry questions in the mathematics question paper: - Read the question carefully and draw accurate diagrams. - Identify the given information and apply the appropriate geometric concepts and formulas. - Break down complex figures into simpler ones to make calculations easier. - Label the diagrams properly and use theorems and properties to prove or solve the given problem. - Practice regularly to improve your understanding of different geometric concepts and their applications.
4. How can I score well in algebra questions in the mathematics question paper?
Ans. To score well in algebra questions, follow these tips: - Understand the basic concepts and formulas thoroughly. - Practice solving a variety of algebraic equations and problems. - Work on simplifying expressions, solving linear and quadratic equations, and solving word problems. - Practice using different methods such as factorization, completing the square, and using the quadratic formula. - Pay attention to signs and be careful with calculations to avoid making simple errors.
5. What are some effective strategies for preparing for the mathematics question paper?
Ans. Here are some effective strategies for preparing for the mathematics question paper: - Understand the syllabus and exam pattern thoroughly. - Create a study schedule and allocate specific time for each topic. - Practice solving previous year question papers and sample papers to understand the exam format and difficulty level. - Focus on understanding the concepts rather than memorizing formulas. - Seek help from teachers or classmates if you have any doubts or difficulties. - Revise regularly and solve as many practice problems as possible to enhance your problem-solving skills.
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Semester Notes

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Important questions

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past year papers

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MCQs

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Class 10 Mathematics: Question Paper for 2018 | Mathematics (Maths) Class 10

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Summary

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shortcuts and tricks

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video lectures

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Exam

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Previous Year Questions with Solutions

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Extra Questions

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study material

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Sample Paper

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Free

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mock tests for examination

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Viva Questions

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Objective type Questions

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